Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 70 + 5/(*) = 71 +5
g(
= 213 + 17
9(2)
= 14 + 79(1) = 141 +7
9(2)
73 + 149(*) = 75 + 14
9(2)
= – 7:– 169(1) = -71 – 16
9(30)
= 70
189(1) = 71 – 18
g(x)
- 720 + 169(3)
-75 + 16
The function f stretched vertically by a
factor of 2 and translated down by 3 units.
<
The function f translated
2 units down and 3 units right.
Answers
9514 1404 393
Answer:
g(x) = 14x +7g(x) = 7x -18g(x) = -7x -16g(x) = 21x +17Step-by-step explanation:
The transformations of interest here are ...
g(x) = b·f(x) . . . . vertical scaling by a factor of bg(x) = f(-x) . . . . . reflection across the y-axisg(x) = f(x -h) +k . . . translation h units right and k units up1. The transformation parameters are given as b=2, (h, k) = (0, -3). Then we have ...
f1(x) = 2f(x) = 2(7x +5) = 14x +10 . . . . . vertical stretch by 2
g(x) = f1(x -0) -3 = 14(x -0) +10 -3
g(x) = 14x +7
__
2. (h, k) = (3, -2)
g(x) = f(x -3) -2 = 7(x -3) +5 -2 = 7x -21 +3
g(x) = 7x -18
__
3. The reflection gives us ...
f1(x) = f(-x) = 7(-x) +5 = -7x +5
Then the translation 3 left is (h, k) = (-3, 0).
g(x) = f1(x -(-3)) +0 = -7(x +3) +5 = -7x -21 +5
g(x) = -7x -16
__
4. The transformation parameters are b = 3 and (h, k) = (0, 2).
f1(x) = 3f(x) = 3(7x +5) = 21x +15 . . . . . . vertical stretch by 3
g(x) = f1(x) +2 = 21x +15 +2
g(x) = 21x +17
Related Questions
hello there
im looking for help here. giving brainliest if im able to.
Find the volume of a box with the following measurements:
l=7cm
w=3cm
h=10 cm
Answers
Answer:
210cm cubed
Step-by-step explanation:
Width x length x height
3x7x10
7*3*10= 210cm^3
if abc~ dec , what is the length of de? Please help
Answers
Answer:
B) 12
Step-by-step explanation:
Given:
ΔABC ~ ΔDEC
AB ~ DE
AC ~ DC
BC ~ EC
We will just use ratios and substitute DE as x:
[tex]\frac{AB}{AC} =\frac{DE}{DC} \\\\\frac{16}{20} =\frac{x}{15} \\\\20x=240\\\\x=\frac{240}{20} \\\\x=12[/tex]
DE = 12
The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain constant.
The triangles ABC and DEC are similar triangles. Then the ratio of the corresponding sides will be the same.
DE/AB = CD/AC
From the diagram, AB = 16, AC = 20, and CD = 15. Then the measure of the side DE will be given as,
DE/16 = 15/20
DE/16 = 0.75
DE = 16 x 0.75
DE = 12
The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Please help with geometry
Answers
Answer:
m∠2 = 68°, m∠3 = 112°, m∠4 = 68°
Step-by-step explanation:
m∠3 = m∠1 ( Vertically opposite angles )
m∠3 = 112°
m∠2 = 180 - m∠1
m∠2 = 180 - 112
m∠2 = 68°
m∠4
Solution 1:
m∠4 = m∠2 (Vertically opposite angles)
m∠4 = 68°
Solution 2:
m∠4 = 180 - m∠1
m∠4 = 180 - 112
m∠4 = 68°
Hope this helps
Use the point and the slope to graph each line. Write the equation of the line. The line passes through point (2,-2) and is parallel to a line that has slope -1.
Answers
Answer:
y= -x
Step-by-step explanation:
slope- intercept form
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -1, m= -1.
Substitute m= -1 into the equation:
y= -x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 2, y= -2,
-2= -2 +c
c= -2 +2
c= 0
Thus, the equation of the line is y= -x.
The next model of a sport car will cost 6.7%less than current model.the current model cost $46,000.how much will the price decrease in dollars?what will be the price of the next model
Answers
Answer:
$42,918
Step-by-step explanation:
There are basically a couple ways to do this
First way:
46,000 x 0.067 = 3,082
46,000 - 3,082 = 42,918
Second way
46,000 x (1 - 0.067)
46,000 x 0.933 = 42,918
Either way works; just use which one you prefer
Write the equation of the line in slope-intercept form The line is parallel to y + x =3 and passes through the point (-12, 0)
Answers
Step-by-step explanation:
The line is parallel to y + x =3
=> y = -x+3
the slope = -1
passes (-12, 0)
the equation would be :
y-0 = -1(x+12)
y = -x -12
Turn into mx+b form.
Y=-x+3
Plug in (-12,0)
0=-12+b
b=12
y=-x+12
It is negative X, because the slope has to be the same since it is parallel.
Please Help with number 28
Answers
Answer:
Step-by-step explanation:
[tex]\dfrac{\dfrac{2}{7}*9}{\dfrac{2}{7}}= 9[/tex]
2/7 in the numerator and denominator will get cancelled
Evaluate the following linear equation for the given values y= -3x+1 and x is -5, -2, -1 and 4.
Answers
After adding the ice, they noticed the soup became watery and did not taste very good. They wanted to figure out a way to quickly cool the soup but not water it down. They had two separate ideas. The older brother wanted to place the entire bowl into the freezer and let it sit for 2 minutes. The younger brother wanted to divide the soup into two smaller bowls and then place both of them in the freezer for 2 minutes. Describe how you could use science ideas and tools to decide which brother has the better method of cooling their soup. As you explain your answer, talk about energy and explain how it moved. You can include a diagram, but it must be explained with words.
Answers
Answer: This is your opinion and is probably graded for you stating your opinion.
Step-by-step explanation:
If you use the older brothers method, your soup would not cool down as fast in 2 minutes, because it's a lot of soup in one bowl, just like how a cup of water would freeze faster than a whole lake. If you want your soup to completely cool down in 2 minutes, use the younger brothers method.
Hope this helped.
If you had a 5 ft piece of wood. How many 1/2 ft pieces could you get from your 5 ft piece of wood?
Answers
Answer:
10 pieces
Step-by-step explanation:
1/2 times 10=5
Help??? Thank youu!!!
Answers
Answer:
The time on the clock is 9:18
Answer:
The clock shows the time of 09:18.
Graph the line with slope 1/2 and y-intercept −4.
Answers
Answer:
Check out the image below.
Step-by-step explanation:
5x + 2y, when x = 5 and y = -2
Answers
Answer:
21
Step-by-step explanation:
1. Simplify 5 × 5 to 25.
25 + 2 × -2
2. Simplify 2× −2 to −4.
25 − 4
3. Simplify.
21
help me guys I don't know what to do?
Answers
Answer:
The y-coordinate of the solution is [tex]-8[/tex].The ordered pair that is the solution to the system lies in Quadrant IV.The x-coordinate of the solution is [tex]9[/tex].Step-by-step explanation:
Graph the equations and locate the intersection.
[tex](9,-8)[/tex]
Write an inequality that represents the graph.
-5
-4 -3
1
2
3
4
5
Inequality: x
Answers
Answer:
x<= 4
Step-by-step explanation:
Rate as BRAINLIEST
So we have 4 with solid circle so its an included number.
we get x is less than or equal to 4
The chandlers are moving across the country. Mr.Chandler leaves 4.5 hours before Mrs.Chandler. If he averages 35 mph and she averages 65 mph, how many hours will it take Mrs.Chandler to catch up to Mr.Chandler
Answers
it will take about 4.7 hours since u dont know what time she left so the time will be shown as x and if they are averagely going the same speed then it will take around the same time or.about 4.5 or 4.6 around this time she will catch up to him since he's cruising and she's in a sport race just some difference
Answer:5.25
Step-by-step explanation:
Rate×Time=Distance
Drive Rate Time Distance
Mr. Chandler's drive 35 4.5+x 35(4.5+x)
Mrs. Chandler's drive 65 x 65x
35(4.5+x)= 65x
157.5 + 35x= 65x
157.5 = 30x
5.25 = x
the opposite number of 1/2
Answers
Answer:
0.5?
Step-by-step explanation:
There is a proportional relationship between a volume measured in cups and the
same volume measured in tablespoons. 3 cups is equivalent to 48 tablespoons, as
shown in the graph.
A. Plot and label at least two more points that represent the relationship
B. Use a straightedge to draw a line that represents this proportional relationship.
C. For which value y is (1, y) on the line you just drew:
D. What is the constant of proportionality for this relationship?
E. Write an equation representing this relationship. Use c for cups and t for tablespoons.
please help me with this I’m in 7th grade
Answers
Answer:
32
Step-by-step explanation:
I think the answer is b use a straight edge to draw a line that represents this proportional relationship
How many solutions does this equation have?
5g + 4(-59 - 5) = -159 - 20
Answers
Either you cross multiply or follow the law of equation to solve it
-2=-5+z/-2
Solve for z
Steps on how to do this?
Answers
Explanation:
-2=-5+z/2
3=z/2
z=6
Use the definition mtan=lim
Answers
(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:
[tex]\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h[/tex]
Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that
[tex]m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x[/tex]
and so the slope of the line at P (0, 9), for which we take x = 0, is 0.
(b) The equation of the tangent line is then y = 9.
Question 21
>
This Test: 26 pts possible
Re:
More
X
Express the area of the figure, A, as a
function of one of its dimensions, X.
Write the function's equation as a
polynomial in standard form.
2x
x+10
x+2
4x
6x
2
A(x)= return (Simplify your answer. Do not factor.)
graph in whi
Eph. Cubic
aph.
Answers
Answer:
A(x) = 6x² + 26x
Step-by-step explanation:
A(x) = 4x ( x + 10 ) - 2x ( 8 ) + [tex]\frac{2x(x)}{2}[/tex] + [tex]\frac{2x(x+2)}{2}[/tex]
A(x) = 4x² + x² + x² + 40x - 16x + 2x
A(x) = 6x² + 26x
Pls help I’ll add extra points
Answers
Answer:
Nosotros somos de Espana.
Maria es ed Mexico.
Yo soy de Venezuela.
Ustedes son de Cuba.
El es de Costa Rica.
Find the slope between each pair of points.
(5, 6) and (6,5)
Answers
Answer
5-6/6-5
Step-by-step explanation:
One end of a wire is attached to the top of a 24-foot pole; the other end of the wire is anchored to the ground
18 feet from the bottom of the pole. If the pole makes an angle of 90° with the ground, find the length of the
wire.
Answers
Answer:
30 feet
Step-by-step explanation:
We can use Pythagorean theorem for this question because the pole and the wire that is anchored to the ground forms an right triangle because the pole makes an angle of 90 degrees.
One side of the right triangle formed is equal to 24 feet, and because the wire that is anchored to the ground is 18 feet from the bottom of the pole, another side is 18 feet.
Pythagorean theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]. With a and b being the sides of the right triangle and c being the hypotenuse. In this problem, the length of the wire is equal to the hypotenuse of the triangle.
a=24 and b =18. 24 squared is equal to 576, and 18 squared is equal to 324. We add 576 and 324, which is 900. This means that [tex]c^{2}[/tex] =900. To find c, we find the square root of 900, which is 30. Therefore, the length of the wire is 30 feet.
Answer:
30 feet
Step-by-step explanation:
1. The 24-foot pole and the 18 feet from the bottom of the pole form a right angle, meaning that when you add the length of the wire, a right triangle forms.
2. "24-foot pole" is the height, and "18 feet from the bottom of the pole" is the base. The length of the wire is the hypotenuse.
3. To find the hypotenuse of a right triangle, we can use the Pythagorean theorem to solve it: [tex]a^2 + b^2 = c^2[/tex], where a = leg of triangle, b = leg of triangle, and c = hypotenuse (or in this case, the wire).
4. Now, let's apply the formula:
[tex]18^2 + 24^2 = c^2[/tex]Step 1: Simplify both sides of the equation.
[tex](18*18)+(24*24)=c^2[/tex] [tex]324 + 576 = c^2[/tex] [tex]900 = c^2[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{900} =\sqrt{c^2}[/tex] [tex]30 = c[/tex]Step 4: Check if solution is correct.
[tex](18*18)+(24*24)=(30*30)[/tex] [tex]324 + 576 = 900[/tex] [tex]900 = 900[/tex]Therefore, the length of the wire is 30 feet.
Is y-1/x=11 linear on non linear
Answers
Answer:
It is linear you can even go to desmos graphing line.
Super easy please help
Answers
To find the x-intercept, you need to see where the line intersects the x-axis, the horizontal line with numbers on it. The line intersects the x-axis at (2, 0). Therefore, the x-intercept is (2, 0).
To find the y-intercept, you need to see where the line intersects the y-axis, the vertical line with numbers on it. The line intersects the y-axis at (1, 0). Therefore, the y-intercept is (1, 0).
There are two ways to find the slope. The easiest one in my opinion is rise over run, but you can also use an equation too. I am going to be showing you the rise/run method, but you can also ask if you want the equation method as well. First of all, the line goes to the left, not the right, so we know that the slope is going to be negative. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). All you need to do is calculate the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). I am going to choose point (1, 0) if I go up by 2 and over by 4, I'll get to the point (-4, 3) that also lands on the line. 2/4 is 1/2. Therefore, the slope is -1/2.
I hope this helps! Let me know if I got something wrong.
Please dont delete my question i really need help
Select True or False for each statement.
Answers
Answer:
true
False
False
Step-by-step explanation:
may y’all help me<33……..
Answers
Answer:
68
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:68
Step-by-step explanation:
5+9*7=68
Help help please please
Answers
Answer: 3/20
Step-by-step explanation:
0.150 is equal to 150 thousandths. You can write this in its fractional form, which is:
150/1000
More simplification:
(150/50)/(1000/50)=3/20.