Answer:
the graph of f(x) is translated 2 units to the LEFT
Step-by-step explanation:
The original function, f(x) = x^2 + 3, has its vertex at (0, 3). If we translate the graph h units to the right, this function becomes g(x) = (x - h)^2 + 3. The x-coordinate of the vertex appears h units to the right of the original vertex.
In this case g(x) = (x + 2)^2 + 3, which tells us that h = -2. The effect of inserting the "-2" is that the graph of f(x) is translated 2 units to the LEFT.
If, on the other hand, we went from f(x) = x^2 + 3 to g(x) = (x - 2)^2 + 3, the original graph would be translated 2 units to the right.
Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.
The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.
Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
Part B
Question
Which statement is true about the result considering a significance level of 5%?
The result is not statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate.
The result is not statistically significant, which implies that this result could be due to random chance.
Answer:
So what are you asking me to do
Answer:
A.
Step-by-step explanation:
What is the length of bc in the right triangle below?
PLZZ HELP ASAP AND SHOW WORK PLZ
Answer:
39 acute isoceleleellsllelsls
Step-by-step explanation:
The angles of triangle always add to 180 degrees. So that angle on the bottom already takes up 102 so 180-102=78 and there are 2 angles left so both of those are 39 because 78/2=39 and 39 is an acute angle since its less than 90 degrees so ya
A local water park has two types of season passes. Plan A costs a one-time fee of $144 for admission plus $10 for parking every trip. Plan B costs a one-time fee of $48 for parking plus $22 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
The person must make 8 trips for Plan A and B to be equal.
Plan A will cost $144 and then $10 for every parking. Assuming the number of trips is x, the expression would be:
= One time fee + (Fee per parking x number of trips)
= 144 + 10x
Plan B will cost $48 then parking of $22. Expression will be:
= 48 + 22x
To find out the number of trips where the cost will be equal, equate the two:
144 + 10x = 48 + 22x
144 - 48 = 22x - 10x
96 = 12x
x = 96 / 12
x = 8 trips
The person must therefore make 8 trips for Plan A and B to be equal.
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What is the slope of the line represented by the equation y=-1/2-5x
Answer:
m = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -1/2 - 5x
Compare:
y-intercept b = -1/2
slope m = -5
Answer:
The slope is -5 and the y intercept is -1/2
Step-by-step explanation:
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x-1/2
The slope is -5 and the y intercept is -1/2
Evaluate the function
f(8) + g(-1) for the functions f(x) = -2x + 9 and g(x) = x²-2
Answer:
- 8
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x)
f(8) = - 2(8) + 9 = - 16 + 9 = - 7
Similarly for g(- 1)
g(- 1) = (- 1)² - 2 = 1 - 2 = - 1
Then
f(8) + g(- 1) = - 7 + (- 1) = - 7 - 1 = - 8
PLEASE HELP ME. this is due TONIGHT and i need this done so i have time for other assignments. thank you so much
explaining your answer = brainliest.
the area of this parallelogram is 504 square centimeters.
y = ___ cm
Answer:
28cm
Step-by-step explanation:
Area of a parallelogram equals the base length, which is y cm, multiplied by the height, which is 18cm.
So
Area= 504cm
y cm (base) x 18 cm (height) = 504cm^2 (area)
y cm = 504cm^2 / 18cm
y cm = 28cm
Answer:
28 cm
Step-by-step explanation:
Just use some good ol' algebra:
18y = 504
y = 28 cm
A parallelogram is basically a wonky rectangle, so it uses the same formula for area.
Complete the table for the given rule.
Rule: y=x+3
Answer:
1
5
2
Step-by-step explanation:
4-3=1
8-3=5
5-3=2
Hope this helps! :)
Use the function shown in the table to answer the questions below .
Answer:
a) -6
b) 3
c) Y = -6x + 3
Step-by-step explanation:
Pick two points and find rise/run = slope
rise y1 - y2 = 9 - 3 = 6
run x1 - x2 = -1 - 0 = -1
slope = 6 / -1 = -6
The y intercept is where x = 0 which is given in the table (0,3) so
y intercept = 3
Point slope form is y = mx + b , so
y = -6x + 3
how to simplify (a+3b)+3(4a+b)
Answer:
13a + 6b
Step-by-step explanation:
Given
(a + 3b) + 3(4a + b) ← distribute parenthesis
= a + 3b + 12a + 3b ← collect like terms
= 13a + 6b
Answer: 13a+3b+18
Step-by-step explanation:
First distribute the 3 to 4a+b
Then you get 12a+18
Add 12a+18 with a+3b
Find the value of x.
A. 12
B. 5
C. 16
D. 4
Answer:
According to intersecting chard theorem:-
[tex]12(x)=8(x+2)[/tex]
[tex]12x=8x+16[/tex]
[tex]12x-8x=16[/tex]
[tex]4x=16[/tex]
[tex]x=16/4[/tex]
[tex]x=4[/tex]
So, your answer is D) 4
-------------------------------
hope this helps you!!
The required value of the x is 4 for the given circle. Option D is correct.
A figure is shown of a circle with two intersecting cords fractions 12+x and x+2+8. The value of the x is to determine.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
The chords of the circle is the lines that bisect the circles in two parts, Longest chord of the circle is the Diameter.
Now.
x+2/x=8/12
12x = 8x+16
12x-8x=16
4x = 16
x = 4
Thus the required value of x is 4 for a given circle.
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Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
A.) -2√8/7
B.) -√8
C.) √8
D.) 2√8/7
Answer:
D
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi[/tex]
And we want to find the value of tan(2x).
Note that since x is between π/2 and π, it is in QII.
In QII, cosine and tangent are negative and only sine is positive.
We can rewrite our expression as:
[tex]\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}[/tex]
Using double angle identities:
[tex]\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}[/tex]
Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(x) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:
[tex]\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}[/tex]
So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.
From the above information, substitute in appropriate values. And since x is in QII, cosine and tangent will be negative while sine will be positive. Hence:
[tex]\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}[/tex]Simplify:
[tex]\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}[/tex]
Evaluate:
[tex]\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}[/tex]
The final answer is positive, so we can eliminate A and B.
We can simplify D to:
[tex]\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}[/tex]
So, our answer is D.
Analyze the diagram below and complete the instructions that follow. find tan
Evaluate the expression c5 when c = 3.
Replace c with 3:
3^5 = 3 x 3 x 3 x 3 x 3 = 243
The answer is 243
Answer:
15
Step-by-step explanation:
c5
3(5)
3 x 5
15
PLSS HELP NEED ANSWER RIGHT NOW BEFORE THE TIME ENDS!
THANK YOU!!
Answer:
third box
first box
second box
Step-by-step explanation:
1/3x + 1/4 -2/3x; combine like terms
-1/3x + 1/4 (third box)
1/3x + 1/4 + 2/3x; combine like terms
(3/3)x +1/4 (first box)
3/3 is 1, so we don't have to write it
2/3 + 3/4x -1/3; combine like terms
1/3 + 3/4x (swap, and is second box)
helppp me i need help plzzzzz
Answer:
x+3y -10 =0
Step-by-step explanation:
In slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/3x +10/3
We want it in the general form ax+by +c =0 where a,b,c are integers and a>0
Multiply by 3 on each side
3*y = 3(-1/3x +10/3)
3y = -x +10
Add x to each side
x+3y = -x+10 +x
x+3y = 10
Subtract 10 from each side
x+3y -10 = 10-10
x+3y -10 =0
The slope of a line is [tex] - \frac{1}{3} [/tex] and the y-intercept is [tex] \frac{10}{3} [/tex]. What is the equation of the line written in general form?
Choices:○ 10x + 3y - 1 = 0
○ x + 3y + 10 = 0
○ x + 3y - 10 = 0
Remember to use this formula:[tex] \quad \quad\quad\quad\boxed{\tt{y = mx + b}}[/tex]
Given that:[tex]\quad \quad\quad\quad\boxed{\tt{Slope (m) = \frac{1}{3} }}[/tex]
[tex]\quad \quad\quad\quad\boxed{\tt{y \: intercept(b) = \frac{10}{3} }}[/tex]
Lets try![tex] \quad \quad\quad\quad\boxed{\tt{y = - \frac{ 1}{3}x + \frac{10}{3} }}[/tex]
Then convert it in general form using this formula:[tex] \quad \quad\quad\quad\boxed{\tt{ax + by + c = 0}}[/tex]
Each side will be multiply by 3[tex] \quad \quad\quad\quad\boxed{\tt{ (3)y = 3(- \frac{ 1}{3}x + \frac{10}{3} )}}[/tex]
[tex] \quad \quad\quad\quad\boxed{\tt{ 3y = \cancel{ \color{red}3}(- \frac{ 1}{ \cancel{ \color{red}3}}x + \frac{10}{ \cancel{ \color{red}3}} )}}[/tex]
[tex] \quad \quad\quad\quad\boxed{\tt{3y = - x + 10}}[/tex]
Let's convert "x" like this.[tex] \quad\quad\quad\boxed{\tt{3y = - x + 10}} \: ➡ \: \boxed{\tt{x + 3y = 10}}[/tex]
Convert "10" like this.[tex] \quad\quad\quad \boxed{\tt{x + 3y = 10}} \: ➡ \: \boxed{ \tt{x + 3y - 10 = 0}}[/tex]
Hence, the answer is:[tex]\quad \quad\quad\quad \boxed{ \color{green}{ \tt{x + 3y - 10 = 0}}}[/tex]
_________
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Please give me the answer and tell me how you solved it
Answer:
6x-3
Step-by-step explanation:
that is the procedure above
Step-by-step explanation:
5+4X+2x-8
=6x-3
answer is third option
Find the value of x
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(30)=\frac{7}{x}[/tex]
Inverse operations,
[tex]x=\frac{7}{sin(30)}[/tex]
Simplify,
[tex]x=14[/tex]
Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.
A. -12/5
B. -4
C. 4
Answer:
C. 4 is the right answer!
Step-by-step explanation:
If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order
Answer:
1. 8:15
2. 6
3. 32
4. 12.4
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Answer:
6 and 4
Step-by-step explanation:
Answer:
Part A: 4 and x are factors of 4x
Part B: 6 and 4
Part C: 4
Step-by-step explanation:
Calcula el porcentaje de sal de mesa o cloruro de sodio que contiene una disolución que se preparó con 5 gramos de cloruro de sodio y 95 gramos de agua.
Answer:
inglese please
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
3675
Step-by-step explanation:
3500x.05 (5%)=175 GCT
3500+175=3675.
Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?
Answer:
$65
Step-by-step explanation:
Collin gets 4x dollars which equals 52, so 4x = 52
Dan gets 5x dollars which equals y (the answer). solve for x = 13. 5 • 13 = 65.
What is the solution to this equation? X/4 =-12
A. x = 48
B. X= -3
C. x = -48
D. X= 3
Answer:
C. x=-48
Step-by-step explanation:
x/4=-12
multiply both sides by 4
4x/4=4 (-12)
simplify
x=-48
A circular table has a radius of 5cm. Decorative trim is placed along the outside edge. How
long is the trim?
4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply
Answer:
10 pounds
Step-by-step explanation:
Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins to make trail mix and 3/10 of her supply of raisins to make cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:
(1/2)x + (3/10)x = 8
multiply through by 20:
(1/2)x * 20 + (3/10)x * 20 = 8 * 20
10x + 6x = 160
16x = 160
Divide both sides of the equation by 16:
16x/16 = 160/16
x = 10 pounds
Therefore she have 10 pounds of raisins in her supply
Someone I need help plzzz
Answer:
sorry this question is confusing
Step-by-step explanation:
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
Answer:
a = k/(4 + 9b)
Step-by-step explanation:
Here, we want to make a the formula subject
We have this as;
k = a(4 + 9b)
a = k/(4 + 9b)
The expression for a fom the give expression is a = k/(4 + 9b)
Subject of formulaGiven the following equation
K = 4a + 9ab
Factor out the GCF
K = a(4 + 9b)
Divide both sides by 4 + 9b
k/4+9b = a(4 + 9b)/4+9b
k/(4 + 9b) = a
Hence the expression for a fom the give expression is a = k/(4 + 9b)
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The triangles below are similar. Find the length of ED.
Answer:
ED = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values
[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )
18 ED = 108 ( divide both sides by 18 )
ED = 6