Answer:
X= y/2-2
Step-by-step explanation:
Well to isoalte x just do the same thing you would do for y,
Isolate the numbers without a variable buy subtravting 4 on each side.
y-4=2x
Now isolate 2 and x by divide 2 on both sides
y/2-2=x
This can be determined by the simple mathematical concepts. Therefore the value of x is, [tex]\bold{x=\dfrac{y-4}{2} }[/tex] the subject of he formula y=2x+4.
Given that the subject of the formula y=2x+4.
We have to find x.
According to the question,
To obtained the value of x by the given formula
i.e. y = 2x+4 .....(1)
Now the value of x is from the above equation (1)...
[tex]\bold{x=\dfrac{y-4}{2} }[/tex]
Hence, the value of x , [tex]\bold{x=\dfrac{y-4}{2} }[/tex] makes x the subject of the formula y=2x+4.
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Can someone please help me I’ll mark you as brainlist
A=
B=
Answer:
A = 14
B = 4
Step-by-step explanation:
You want to know the values of A and B consistent with ∆EFG being congruent to ∆HJI, given that EF=14B-15, FG=9A-28, HJ=7B+13, JI=7A.
CongruenceCorresponding sides of congruent triangles have the same measure, so we have ...
FG = JI
9A -28 = 7A
2A = 28 . . . . . . add 28-7A
A = 14 . . . . . divide by 2
and ...
FE = JH
14B -15 = 7B +13
7B = 28 . . . . . . . . add 15-7B
B = 4 . . . . . . divide by 7
The values of A and B are 14 and 4, respectively.
12.2: Postage Stamps
The relationship between the postage rate and the weight of a letter can be defined by a
piecewise function.
The graph shows the 2018 postage rates
for using regular service to mail a letter.
1.67
postage (dollars)
$10.55
0.45
1.5
1.25
1
0.75-
0.50
0.25
0.5
1
1. What is the price of a letter that has the following weight?
a.
1 ounce
0.50
b. 1.1 ounces
c. 0.9 ounce
2. A letter costs $0.92 to mail. How much did the letter weigh?
1.5 2 2.5 3 3.5 4
weight (ounces)
The price of the letter with the given weights are;
a) 1 ounce = $0.5
1.1 ounces = $1.1
0.9 ounces = $0.5
b) At a cost of $0.92 , weight is 3 ounces
How to Interpret Piecewise function Graphs?A piecewise function is defined using different expressions for different intervals in its' domain.
Now, from the graph, we see two line end points. One that is shaded circle and one that is not shaded circle but we will make use of the shaded one because it implies that is the output.
a) At one ounce, we can trace on the graph that the postage price is $0,5.
At 1.1 ounces, we can trace on the graph that the postage price is approximately $0.71
At 0.9 ounces, we can trace on the graph that the postage price is approximately $0.50
b) At a cost of $0.92 to mail, the weight must be more than 2 ounces but less than or equal to 3 ounces.
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What is direct and inverse property?
The direct proportion means that two numbers increase or decrease together and in the same ratio and the inverse proportion means that if one number increases the other decreases and vice versa.
Direct Proportion: Two numbers or quantities are said to be in direct proportion if they increase or decrease together in the same ratio.
If a and b are in direct proportion, they can be written as
a ∝ b
Inverse Proportion: Two numbers or quantities are said to be in inverse proportion if one increases when the other decreases and vice versa.
If a and b are in inverse proportion, they can be written as
a ∝ 1 / b
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Work out the fraction that is halfway between 0 and 3/4
The work out fraction that is halfway between 0 and 3/4 is 1/2
In math, what are fractions?
A fraction is a part of the whole. In a quotient, where the numerator and denominator are divided, the number is mathematically expressed. In a straightforward fraction, both are integers. A complicated fraction has a fraction in either the numerator or denominator. In a correct fraction, the numerator is smaller than the denominator.
What seven types of fractions are there?
Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.
A midway fraction is defined.
Halfway of Two Fractions is what? Exactly halfway between 2/3 and 3/4, a fraction cannot be smaller than 2/3 or larger than 3/4. Nothing is halfway but the average of two fractions.
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8/x = 12/30 Solve for x
Answer:
The value of x is 20
Step-by-step explanation:
This question has to do with an equation. The information is given thus:
8/x = 12/30
Cross multiply
12x = 30 × 8
12x = 240
Divide
x = 240 / 12
x = 20
Why do we divide by 3 when finding the volume of a square pyramid?
To find the volume of a pyramid we need to multiply the area of its base by the length of its height and divide it by by three. This is why we divide the pyramid so as to obtain the desired result.
Formula to calculate the volume is ,
1/3 ( base area x height )
The base of a square pyramid is a square and the area of a square is found by the formula , side x side .
In order to identify a square pyramid we check for its base . If the apex of the pyramid is perpendicular to the center of the square, then it is a right square pyramid.
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Find the number of units x that produces a maximum revenue R.R = 171x2 − 0.06x3x = units
The number of units x that produces a maximum revenue with the expression given is x = 0.
To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.
The derivative of the function R with respect to x is:
R'(x) = 342x - 0.18x²
Setting this equal to 0, we get:
342x - 0.18x² = 0
Solving for x, we find that x = 0 or x = 1900.
However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.
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What are the domain and range of y = -2(x-4)² + 1?
A. D: x > 4 and R: all real numbers
B. D: x ≤ 4 and R: all real numbers
C. D: all real numbers and R: y ≤ 1
D. D: all real numbers and R: y ≥ 1
Answer:
he correct answer is D: all real numbers and R: y ≥ 1.
Step-by-step explanation:
What does a square of 1 mean?
Since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.Since a square number is a number multiplied by itself, 1 is likewise a square number.
what is square ?Four of its sides are equal in length, making a square a two-dimensional shape. A square has four right angles and opposing sides that are parallel to one another. Some examples of square-shaped objects in daily life include paper napkins, chess boards, cheese slices, floor tiles, and so forth.
here
When you multiply any integer by itself,
the answer is a square number.
Let's multiply one by itself as an example: 1 * 1 = 1
so since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.
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Simplify.
5 / -2+ √3
A) √3-5 / 3
B) -2+√3 / 5
C) -10-5√3
D) -2√5-√15 / 25
Multiply the numerator and denominator by the conjugate.
Exact Form:
−10−5√3
Decimal Form:
−18.66025403...
How do you find the perpendicular line of a linear equation?
Ways to find the perpendicular line of a linear equation are by solving for y, convert the equation of the given line into slope-intercept form.
Describe perpendicular.A straight line that forms a 90° angle with another line is said to be perpendicular. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.
Given
Ways to find the perpendicular line of a linear equation are,
First, by solving for y, convert the equation of the given line into slope-intercept form.
You obtain y = -2x + 5, indicating a -2 slope. Since the slopes of perpendicular lines are opposite-reciprocal, the slope of the line we're looking for is 1/2.
By entering the supplied point into the formula y = 1/2x + b and solving for b, we arrive at the value b = 6.
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What is the value of 3 √ 4 √ x when x 4096?
The value of 3 √ 4 √ x is 48
A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence related concepts.
Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
As per the question, 3 √ 4 √ x when x =4096
first we need to calculate square root of 4096 by prime factorisation method
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)
√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))
√4096 = 2 × 2 × 2 × 2 × 2 × 2
√4096 = 64
Therefore the square root of 4096 = 64.
x=64
now putting the value of x in 3 √ 4 √ x
= 3 √ 4 √ 64
= 3 √ 256
=3×16
=48
so the value of 3 √ 4 √ x is 48
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Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)
√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))
√4096 = 64
x=64
= 3 as 4 as 64
= 3 as 256
=3×16
=48
the graph of this equation is which of the following
x² + y² - 2x + 3y + 8 = 0
a) parabola
b) circle
c) hyperbola
d) ellipse
e) point
someone help me please!!
Answer:
Step-by-step explanation:
How do you find holes and asymptotes?
To find holes, look for places where the function is undefined. To find asymptotes, look for where the function approaches infinity or negative infinity. Additionally, look for places where the function has a vertical or horizontal line, as these are also potential asymptotes.
To find holes in a function, look for places where the function is undefined. This can occur when the denominator of a fraction is equal to zero, as the fraction becomes undefined. Additionally, look for places where the function is not continuous, as this can indicate a hole in the graph. To find asymptotes, look for places where the function approaches infinity or negative infinity. This can occur when the denominator of a fraction is equal to zero and the numerator is not. Additionally, look for places where the function has a vertical or horizontal line, as these can also indicate potential asymptotes. Asymptotes are also present when the degree of the numerator is higher than the degree of the denominator. By looking for these areas, you can identify potential holes and asymptotes in a function.
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What is inequality examples?
An example of inequality is 3 < 5.
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.
They are denoted by the symbols ≥ < > ≤. An example of inequality is 3 < 5. This simply means that 3 is less than 5.
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for the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms? 187 243 221 200 save
Answer:
221
Step-by-step explanation:
5 is the first term, then:
5 + 16 = 21
22 is the last term
5 + 21 = 26
6 + 20 = 26
7 + 19 = 26
.....
.....
12 + 14 = 26
and
13
There are 8 sum of 26 each and 13
Then:
8*26 + 13 = 221
How many types of quadrilaterals are there?
Answer:
There are 6 types of quadrilaterals
Step-by-step explanation:
6 types are: Parallelogram, Trapezium, Rhombus, Rectangle, Square, Kite
a researcher wants to find out how much a person watches television causes a person to like bourbon whisky more. to do this she asks each participant if they watch tv more or less than 2 hours per day and then has them take a likert scale of how much they like bourbon whisky. which test statistic would you use?
chi-square test statistic is statistically significant.
What is Test Statistic?
A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
To determine whether the amount of television a person watches is related to their liking for bourbon whisky, the researcher could use a chi-square test of independence.
The chi-square test is a statistical test that is used to determine whether there is a significant association between two categorical variables.
In this case, the two variables of interest are television watching (more or less than 2 hours per day) and liking for bourbon whisky (measured using a Likert scale).
The chi-square test statistic is calculated based on the observed frequencies of each combination of television watching and liking for bourbon whisky, and it is used to determine whether the observed frequencies are significantly different from the frequencies that would be expected if the two variables were independent.
If the chi-square test statistic is statistically significant, it indicates that there is a significant association between the two variables, and the researcher can conclude that television watching is related to liking for bourbon whisky.
Hence, chi-square test statistic is statistically significant.
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Order from least to greatest. .46 4/6 .046 1/10 -4
(/ means fraction)
Answer:
-4, 0.046, 1/10, 0.46, 4/6
Step-by-step explanation:
First, we know that -4 is the least because it is a negative number.
Next, we need to convert the fractions to decimals. 1/10 is 0.1, and 4/6 is 0.66.
Then, we order the decimals.
0.046 is the next smallest, because it is a hundredth, and the remaining decimals are tenths and therefore greater.
We compare the remaining decimals, which are 0.10, 0.46, and 0.66. These are easy to compare and order.
Now, we've compared and ordered all the numbers. We can convert the fractions back into their original form.
A recipe for a cucumber salad includes 13cup tomatoes for 6 servings. how many cups of tomatoes are needed for 27 servings?
Answer:
PROPORTION:
13:6 = x/27
6x = 27(13)
6x = 351
x = 58.5
Therefore, cucumber salad need 58.5 cups of tomatoes to make 27 servings.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-The question is in the picture
What is an example of a geometric term?
An example of geometric term is ar².
When a set of numbers follow a particular order, they are said to be in sequence.
A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The geometric sequence is presented as
Geometric Sequence = a, ar, ar², ar³, ......, arⁿ⁻¹, arⁿ.
where,
The first term is a.
Every two consecutive terms, r is the common ratio.
The number of terms is n.
Let us take an example.
The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series and 2, 6, 18, 54 are geometric terms.
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The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
The sum of the interior angle measures of the given polygon will be equal to 360°.
What is a Polygon?A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines.
Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.
As per the given information in the question,
Use the formula of the sum of an interior angle of the polygon,
180(n - 2) (i)
Here, n is the number of sides.
As per the given figure, n = 4
Put n = 4 in equation (i)
180 (4 - 2)
180 (2)
= 360°
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PLEASE HELP ASAP
At a local high school, the student population is growing at 12% a year. If the original population was 242 students, how long will it take the population to reach 300 students? Round to the nearest tenth of a year.
A. 0.7 Years
B. 3.2 Years
C. 1.9 Years
Answer:
c is the closest
Step-by-step explanation:
it should take about 2 years
Find the measure of each rectangle indicated. Round to the nearest tenth
The value of θ or the measurement m∠B of is 69°.
What is an angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The hypotenuse of △ABC is AB = 14.
The base of △ABC is AC = 5.
The cosine is a trigonometry ratio and cosine of an angle is ratio of base to hypotenuse.
cos θ = Base/ hypotenuse
Putting Base =5 and hypotenuse = 14
cos θ = 5/14
Taking inverse of cosine on both sides:
θ = cos⁻¹(5/14)
θ = 69.0
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The figure below is made up of a rectangle and a half of a circle find the perimeter of the figure to the nearest tenth show ur work please use 3.14?for pi
The figure's circumference, as seen in the diagram, is 60.84 m.
What are some instances of perimeters?
The perimeter of an object is the space surrounding it. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
The formula below is used to determine the figure's perimeter.
Formula:
Equation 1: P = 2L + W + W / Equation 1:
P = The figure's perimeter
L is the figure's length.
W is the figure's width.
Considering the query,
Given:
L = 15 m\sW = 12 m\sπ = 3.14
Replace the values in equation 1 with these ones.
P = (15×2)+12+(12×3.14/2)
P = 30+12+18.84
P = 60.84 m
As a result, the figure's perimeter is 60.84 meters.
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What is the leading coefficient of the polynomial function if?
Observing the polynomial and the coefficient provided, The leading coefficient of the polynomial function is the coefficient of the highest degree term.
What do you mean by a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by leading coefficient?The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.
polynomial of the form [tex]ax^{2}+bx+c[/tex].
Since, The degree is 2 and the coefficient of [tex]x^{2}[/tex] is a.
The leading coefficient is 'a'.
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The following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.
Which of the following data sets is represented in the histogram?
{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}
Answer:
i think 2.oo or 7.51 not sure
Answer:
the answer to this is a.
Step-by-step explanation:
what is the slope between (-2,-19) and (-12,11)
Answer:
m = -3
Step-by-step explanation:
The slope is rise/run or (y2 - y1) / (x2 - x1)
We see the y increase by 30 and the x decrease by 10, so the slope is
-30/10 = -3
So, m = -3
Answer:
Slope = -3
Step-by-step explanation:
Formula of slope,
→ Slope(m) = (y2 - y1)/(x2 - x1)
Now the slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (11 -(-19))/(-12 -(-2))
→ m = (11 + 19)/(-12 + 2)
→ m = 30/-10
→ m = -(30/10)
→ [ m = -3 ]
Hence, the slope is -3.
How do you prove two shapes are similar?
According to the value of scale factor, we have to prove that the two shapes are similar.
The term shape in math is defined as the object that the form of an object or its outline, outer boundary or outer surface.
Here we have to find the way to prove two shapes are similar.
Here we have given that there are two shapes are given, in order to prove that those two shapes are similar, we must consider that the two shapes are considered to be "similar figures" if they have the same shape, congruent corresponding angles which means the angles in the same places of each shape are the same and equal scale factors.
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