Answer:
(0,-2)
Step-by-step explanation:
plot the point and reflect it over the x axis
What is the discriminant of 3x2 5x =- 4?
For the given expression 3x² + 5x = - 4, the value of the discriminant is equal to -23.
As given in the question,
Given expression is written as :
3x² + 5x = - 4
⇒ 3x² + 5x + 4 = 0
General formula of the discriminant for the given quadratic function
ax² + bx + c = 0 is written as :
Discriminant is written as 'D'
D = b² - 4ac
Here b = 5 , a = 3 and c = 4
Substitute the value in the discriminant formula we have,
D = 5² - 4(3)(4)
⇒D = 25 - 48
⇒ D = -23
Therefore , the value of the discriminant for the given quadratic expression 3x² + 5x + 4 = 0 is equal to -23.
The above question is incomplete ,the complete question is :
What is the value of discriminant 3x² + 5x = -4 ?
Learn more about discriminant here
brainly.com/question/15884086
#SPJ4
What is AAA similarity rule?
The AAA (angle-angle-angle) similarity theorem can be used to express it as follows: two triangles have equal corresponding angles if and only if their corresponding sides are proportionate.
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.
Proof:
Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F as shown in the figure.
Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E and also, the line PQ is parallel to EF.
Therefore, by using the basic proportionality theorem, we can write
DP/PE = DQ/QF.
(i.e) AB/DE = AC/DF. …(1)
Similarly,
AB/DE = BC/EF …(2)
From (1) and (2), we can write:
AB/DE = BC/EF = AC/DF.
Therefore, the two triangles ABC and DEF are similar.
Hence, AAA(Angle-angle-angle) is proved.
To know more about Triangle check the below link:
https://brainly.com/question/7620723
#SPJ1
What are the different types of whole numbers?
The entire numbers, which consist of positive integer numbers and zero, are the number without any fractions. It is denoted by the letter "W," and the set of numbers is "0, 1, 2, 3, 4, 5, 6, 7, 8, 9,...." So, the first five whole numbers are 0 through 4, respectively.
what is whole numbers?An integer is either zero, a positive natural number, or a negative integer denoted by a minus sign. The inverse additive of the matching positive integers is represented by the negative numbers. The blackboard bold Z boldface Z is a common way to represent the set of integers in mathematical notation.
Whole numbers refer to the entire set of natural numbers, including "0." Here are some examples: 0, 11, 25, 36, 999, 1200, etc.
The entire numbers, which consist of positive integer numbers and zero, are the number without any fractions.
To know more about whole numbers visit:-
https://brainly.com/question/29766862
#SPJ4
What is number line class 6?
A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered.
A number line is a pictorial representation of numbers on a straight line. It's a reference for comparing and ordering numbers.
A number line is usually represented horizontally and can be extended infinitely in any direction.The first mention of the number line as a tool for adding and subtracting is found in the Treatise on Algebra by John Wallis. In his work, Wallis describes addition and subtraction on it in terms of moving forward and backward, in the context of a person walking.A blank number line is a visual diagram with no numbers or markers and is essentially used as a tool for solving word problems.Steps to add/subtract on a number line:
Locate the first number on the number line. To add: move as many steps as the second number to the right.To subtract: move as many steps as the second number to the right.The number you land on is the answer.Learn more about Number line at:
https://brainly.com/question/24644930
#SPJ4
dash by a fraction is the same as dash by its reciprocal
The product of a fraction and its reciprocal is 1
How to Interpret Fractions and reciprocals?In mathematics, we know that the fraction that is obtained by swapping or interchanging the numerator and the denominator with each other is known as the Reciprocal of the given fraction.
For example, if we have the fraction 3/5, it is safe to say that the reciprocal of this fraction will be 5/3.
Now, this means that 3/5 * 5/3 = 1.
Thus, we can say that the product of a fraction and its' reciprocal is the same as 1.
Read more about Fraction reciprocals at; https://brainly.com/question/9552512
#SPJ1
Complete question is;
The _____ of a fraction and its reciprocal is 1. (a) sum (b) difference (c) product (d) quotient
What are 3 parts of a circle called?
Radius, diameter, center, and circumference--all are parts of a circle .Every point in the plane that is a certain distance away from a certain point forms a circle (center).
what is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
Area of circle =
[tex]\pi r^2\\r = 10\\A = 3.14 X 10 X 10\\A = 314 unit sq\\[/tex]
To know more about circle visit:
https://brainly.com/question/29142813
#SPJ4
3x 2/4 fraction please do explanation so i can know the correct answer.
Answer:
Below
Step-by-step explanation:
3 * 2/4 =
3/1 * 1/2
(3*1) / (2*1) = 3/2 = 1 1/2
(04.05 MC)
A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Years of experience Salary
0 $52,000
1 $53,150
2 $54,260
3 $55,285
4 $56,921
5 $57,126
Use the equation for the line of best fit to predict the salary for an employee with 6 years of experience? (Round your answer to the nearest dollar.)
$61,150
$58,587
$59,672
$57,990
The salary of an employee with 6 years of experience, based on the line of best fit, is B. $ 58,587
How to find the salary ?First, find the slope of the line of best fit as:
= ( Y2 - Y1) / ( X2 - X1 )
= ( 57, 126 - 52, 000 ) / ( 5 - 0 )
= 1, 025.2
The y - intercept can be found by substituting the values of y, x, and the slope into the linear function of y = mx + c. The point to be used is (5, 57, 126) :
57, 126 = 1, 025.2 ( 5 ) + c
c = 52, 000
The line of best fit is:
y = 1, 025.2x + 52, 000
If an employee with 6 years experience, their salary would be:
= 1, 025.2x + 52, 000
= 1, 025.2 (6 ) + 52, 000
= $ 58,587
Find out more on the line of best fit at brainly.com/question/17261411
#SPJ1
find four consecutive odd integers. five times the second is equal to one more than eight times the smaller
Answer:
3,5,7,9
Step-by-step explanation:
Let x be an odd integer
given that, consider four consecutive odd integers, which are
x , (x +2), (x+4), (x+6)
Now we have to determine these odd integers such that five times the second is equal to one more than eight times the smaller
5(x+2) = 1 + 8x
5x + 10 = 1 + 8x
10 - 1 = 8x - 5x
9 = 3x
x = 3
You sell small and large candles at a craft fair. You collect $192 selling small candles for $4 a
piece and large candles for $6 a piece. You sold a total of 34 candles in all. Create and solve
a system of equations to find the number of small candles (x) and large candles (y) that were
sold.
How many large candles did you sell at a the craft fair?
The number of small candles (x) and large candles (y) that were
sold 16 large candles and 12 small candles were sold.
How many large candles did you sell at a the craft fair?number of small candles (x)
large candles (y)
4x+6y=144 ....equation 1.
x+y=28 ....equation 2.
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph always emerges.To learn more about Linear equations refer to:
https://brainly.com/question/14146037
#SPJ1
If the two legs of the right triangle are 4.8cm and 7.6cm,what is the area of the largest square,A
How to find the sides of a 30 60 90 Triangle calculator?
Trigonometry Examples Popular Issue Trigonometry Solve the Triangle tri {} {30} {} {60} {} {90} Side Angle is given as b = c = a = A = 30 B = 60 C = 90 Side Angle b = c = a = A = 30 B = 60 C = 90
30 60 90 triangle sides If we know the shorter leg length a, we can find out that: b = a√3 c = 2a If the lasting leg length b is the one parameter given, then:
a = b√3/3 c = 2b√3/3 For hypotenuse c known, the legs formulas Now as follows: a = c/2 b = c√3/2 Or simply type your given values and the 30 60 90 triangle calculator will do the rest!
To know more about Triangle Calculator:
https://brainly.com/question/29013957
#SPJ4
Write a formula for rrr in term of \thetaθtheta for the following figure. A circle with a radiu of r centimeter. There are two radii that highlight a ector. The meaure of the arc i four centimeter. The central angle meauring theta radian. A circle with a radiu of r centimeter. There are two radii that highlight a ector. The meaure of the arc i four centimeter. The central angle meauring theta radian. The angle in the figure i a central angle in radian
The formula of r in term ∅ of is [tex]\frac{∅}{360} * 2\pi r[/tex]
What is circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
What is arc in circle?
The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle.
The whole circle of 360 makes arc length of 2πr.
Thus angle of θ will make a length = [tex]\frac{∅}{360} * 2\pi r[/tex].
The formula of r in term ∅ of is [tex]\frac{∅}{360} * 2\pi r[/tex]
To learn more about arc visit : brainly.com/question/16930503
#SPJ4
At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 2 soft drinks cost $22. Which system of linear equations below can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answer:
Soft drink: $3
Burger: $4
Step-by-step explanation:
We have equations
4x + 6y = 34
4x + 2y = 22
Multiply the second equation by -1
4x + 6y = 34
-4x + -2y = -22
4y = 12
y = $3
Now put 3 back in to solve for burger
4x + 6(3) = 34
4x +18 =34
4x = 16
x = $4
How many real roots can a quadratic equation of the form have x2 +5x 6 0?
The real roots of the quadratic equations are
x = -6 and x = 1
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² + 5x - 6 = 0 be equation (1)
On simplifying the equation , we get
x² - 1x + 6x - 6 = 0
Taking the common factors in the equation , we get
x ( x - 1 ) + 6 ( x - 1 ) = 0
On factorizing the equation , we get
( x + 6 ) ( x - 1 ) = 0
So , we have two real solutions to the equation ,
( x + 6 ) = 0 and ( x - 1 ) = 0
So ,
when ( x + 6 ) = 0
Subtracting 6 on both sides of the equation , we get
x = -6
And ,
when ( x - 1 ) = 0
Adding 1 on both sides of the equation , we get
x = 1
Therefore , the values of x are -6 and 1
Hence , the real roots of the quadratic equations are -6 and 1
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ4
A particle is falling in a viscous liquid. Assume that the drag force is 490 dyn-isec/cm times the velocity. If the mass of the particle is 6 grams, the limiting speed in cm/sec is [hint: use 980 cm/sec2 as the value of the acceleration due to gravity. A) 12 b) 1/12 c) 2 d) 1/3
The limiting speed of particle can be obtained as 12 cm/sec.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The mass of particle is given as 6 grams.
Suppose the limiting speed be x cm/s.
As per the given question, the following equation can be formed as below,
6 × 980 = 490x
⇒ x = (6 × 980)/490
⇒ x = 12
Hence, the value of the limiting speed is 12 cm/sec.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ12
Y=10x/3+19 find the x-intercept
The x-intercept is 19.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate; y₁ - y coordinate
m - slope
Given the equation as;
Y=10x/3+19
Then;
the slope m = 10/3
The intercept is 19.
Hence, the x intercept is 19.
Learn more about equations here;
brainly.com/question/25180086
#SPJ1
Why can t we use AAA to prove two triangles are congruent?
Knowing merely angle-angle-angle (AAA) does not work, because it can result in triangles that are similar but not congruent.
A set of triangles must have equal sides and angles in order for them to be congruent. The sides of the triangles may or may not be equal in the case of a triangle with all of the corresponding angles equal, or the AAA condition.
Only if the two triangles are similar would the congruence be true for two triangles with identical respective angles. Thus, we are unable to utilize AAA to establish the congruence of two triangles.
A set of triangles must have equal sides and angles in order for them to be congruent. The sides of the triangles may or may not be equal in the case of a triangle with all of the corresponding angles equal, or the AAA condition. Only if the two triangles are similar would the congruence be true for two triangles with identical respective angles.
To learn more about AAA Theorem link is here
brainly.com/question/29887944
#SPJ4
How do you find the median of a class?
In a grouped data,
it is not possible to find the median for the given observation by looking at the cumulative frequencies.
The middle value of the given data will be in some class interval. So, it is necessary to find the value inside the class interval that divides the whole distribution into two halves.
In this scenario, we have to find the median class.
To find the median class, we have to find the cumulative frequencies of all the classes and n/2.
After that, locate the class whose cumulative frequency is greater than (nearest to) n/2. The class is called the median class.
After finding the median class, use the below formula to find the median value.
[tex]Median = l +(\frac{\frac{n}{2}- cf}{f} )*h[/tex]
Where
l is the lower limit of the median class
n is the number of observations
f is the frequency of median class
h is the class size
cf is the cumulative frequency of class preceding the median class.
To know more about median class visit brainly.com/question/18845760
#SPJ4
What is the solution of the linear quadratic system of equations y x 2 5x 3?
The quadratic solution of the linear system of equations y = x2 + 5x - 3 is y = (x+3)(x-1).
1. Rewrite the equation as y = x2 + 5x - 3
2. Factor the equation by grouping the terms: y = (x+3)(x-1).
3. Set each factor equal to 0 and solve for x: x+3 = 0 and x-1 = 0
4. Solve each equation: x = -3 and x = 1
5. Substitute the values of x into the original equation to find the corresponding values of y:
y = (-3+3)(-3-1) = (-3)(-4) = 12
y = (1+3)(1-1) = (4)(0) = 0
Therefore, the solution of the linear quadratic system of equations y = x2 + 5x - 3 is y = (x+3)(x-1).
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Consider the sinusoidal function y=−1/2sin(3πx−5)−2.
What is the midline of the function? Enter your answer as an equation.
What is the amplitude of the function?
What is the period of the function?
What is the phase shift of the function?
5 point per question.
The features of the sinusoidal function are given as follows:
Midline: y = -2.Amplitude: 1/2.Period: 2/3.Phase shift: 5 units.What are the parameters of the sine function?The general definition of the sine function in this problem is given as follows:
y = asin(b(x+c))+d.
The parameters of the general function are explained as follows:
a: amplitude.2π/b: period.c: phase shift.d: vertical shift, representing the midline.The equation in this problem is given as follows:
y=−1/2sin(3πx−5)−2.
From the vertical shift, the midline is given as follows:
y = -2.
The period is calculated as follows:
p = 2π/3π = 2/3.
The phase shift and the amplitude are given, respectively, by:
c = 5 units right(as c = -5).a = 1/2. (the negative just means that the function was reflected over the x-axis).More can be learned about sinusoidal functions at brainly.com/question/28574324
#SPJ1
Please help me with 9-14 please
Answer:
9. 33% Increase
10. 14 games
11. $3.6
12. $10.80
13. 630
14. 6.3
What is the opposite of (-16+4)?
Answer: (16 + -4)
Step-by-step explanation:
You have to swap the negative numbers with positives and positive numbers for negative.
Why is it important to clean your instrument?
Your instrument's pads, finish, springs, and other metal components can all be damaged if you let dirt, moisture, and other debris build up inside of it. It can also corrode strings and other metal components. These faults might cause expensive long-term consequences and are not easily fixed.
Clean the body, head stock, tuners, and fret board using a damp cloth dipped in vinegar, making careful to follow up with a dry towel. Keep in mind that too much moisture ruins wooden instruments. To keep your case odor-free, wait 30 minutes before storing it.
Due to the fact that these solutions often offer the best material compatibility profile and effective filth removal, neutral or detergent solutions with a pH close to neutral are frequently employed for instrument cleaning. Sometimes neutral pH solutions with proteases added to them help remove organic debris.
Learn more about instrument to visit this link
https://brainly.com/question/28572307
#SPJ4
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. would you accept it?
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. Yes one can accept it.
As per the given data:
If you toss the coin.
Coin shows tails [tex]$\rightarrow$[/tex] lose $ 100
Coin shows heads [tex]$\rightarrow$[/tex] win $ 150
We would consider expected gain for us in each scenario.
Since, the probability of head is,
[tex]P(H) = \frac{1}{2}[/tex]
The probability of Tail is,
[tex]P(T)=\frac{1}{2}[/tex]
Therefore, expected gain [tex]$=150 \times \frac{1}{2}+(-100) \times \frac{1}{2}$$$[/tex]
= 75 - 50
= $ 25
Since, gain is positive number of 25 .
We can say on an average we can gain some Profit.
Hence one would accept the offer.
For more questions on probability
https://brainly.com/question/29759928
#SPJ4
Select the values that make the inequality -g> 6 true.
When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.
How do inequality equations work?Connecting two expressions results in both the mathematical constructs known as equations and inequalities. The two expressions in an equation are thought to be equal when the equal symbol (=) is present. Two expressions in an inequality are not always equal, as shown by the symbols >,,, or. The four basic terms for inequality are smaller than, larger than, smaller than or equal to, and larger than or equal to.You can solve an inequality by doing one of the following: adding or subtracting the same amount from each side; multiplying or dividing each side by the same positive number. It is necessary to flip the inequality sign if all sides are multiplied or divided by a negative value.The complete question is,
How do you resolve an inequality equation?
To learn more about Inequalities refer to:
https://brainly.com/question/24372553
#SPJ1
What are 2 congruent triangles?
Answer:
⭐Congruent is another word for "same"
Congruent triangles have the same corresponding side lengths and same corresponding angle measures.
How do you find the x and y intercepts of an equation?
The ideal way to find the intercepts of an equation with the "x" and "y" axes is to evaluate both values when the image is 0, as described below:
First let's define equation
What are equations?An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.
Equations can be graphed, just like a function.
Now that we know what an equation is and its structure, let's explain it with an example.
Let the equation
2y = 4x + 2, determine its intersections with the axes "x" and "y".
First, we clear:
y = (4x + 2)/2
y = 2x + 1
Now we equal y = 0 and find intersection with the x-axis0 = 2x + 1
2x = -1
x = -1/2
we equal x = 0 and find cut with the y-axisy = 2(0) + 1
y = 1
As we can see, to find the intercepts, we only have to evaluate the equation when y = 0 and when x = 0.
Learn more about equations at:
brainly.com/question/8806877
#SPJ4
Will the circumcenter of a triangle always be located inside of the triangle?
Sometimes the triangle's circumcenter is outside of it. In actuality, it may lie outside the triangle, as in the case of an acute triangle, or it may land at the midway of the hypotenuse of a right triangle.
what is circumcenter ?the location that is equally spaced from each of a triangle's three vertices and where the three perpendicular bisectors of its sides meet.
The circumcenter of a triangle is found at the junction of all sides' perpendicular bisectors, or lines that are at right angles to each side's midpoint. The triangle's perpendicular bisectors are shown to be contemporaneous by this (i.e. meeting at one point).
Sometimes the triangle's circumcenter is outside of it. In actuality, it may lie outside the triangle, as in the case of an acute triangle, or it may land at the midway of the hypotenuse of a right triangle.
To know more about circumcenter visit:-
https://brainly.com/question/16276899
#SPJ4
What is the slope ratio for 30 degree angle?
The slope ratio for a line that makes an angle of 30 with the positive direction of the x-axis is 1:√3
The slope of a line is nothing but the change of the line in the y-coordinate concerning the change in the x-axis. So the slope is simply nothing but a ratio of change in the y-axis to change in the x-axis which is also called slope ratio.
m = change in y / change in x
tan 30= 1/√3 = change in y / change in x
tan 30= 1: √3
So the ratio of an angle of 30-degree slope will be 1:√3
Learn more about slope:
brainly.com/question/4193335
#SPJ4