describe the transformations of the following functions from their parent function
Answers
Answer:
see explanation
Step-by-step explanation:
22
- [tex]\sqrt{x}[/tex] is a reflection of [tex]\sqrt{x}[/tex] in the x- axis
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
g(x) = - [tex]\sqrt{x}[/tex] - 4
is a reflection in the x- axis, followed by a vertical translation 4 units down
23
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Thus
h(x) = [tex]\sqrt[3]{x+1}[/tex] + 5
is a horizontal translation 1 unit left and a vertical translation of 5 units up
Answer:
22
- \sqrt{x}
x
is a reflection of \sqrt{x}
x
in the x- axis
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
Related Questions
A company has a linear total cost function and has determined that over the next three
months it can produce 13,000 units at a total cost of $226,000. This same manufacturer
can produce 16,000 units at a total cost of $296,000. The sales price per unit is $31.25.
i. Find the revenue, cost, and profit functions using q for number of units.
ii. Find the marginal cost, average cost and fixed cost.
iii. Find break-even quantity.
Answers
Find the mean. Round to the nearest tenth if necessary.
37.4, 11.7, 35.4, 18.6, 5.7, 48.8, 18.9, 30, 15.1, 26.6, 35.7, 40.2
Answers
Answer:
27
Step-by-step explanation:
The actual mean is 27.008333333333, round that as you will.
Answer:
27 is the answer
Step-by-step explanation:
Took the test and got it right
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answers
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
i did it on RSM and got it right
Expand the expression -3 (4s+-7). Then select the correct answer.
A. 12s - 21.
B 12s + 21.
C -12s + 21.
D -12s - 21
Answers
Answer:
I think A is the correct answer because -3+4 is 1 because 4 has greater sign + and +- gives result - thus,-3-7 gives - 21. I hope that it would be meaning ful for you ...
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.
The length of a rectangle is 2 times it’s width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle
Answers
Answer: 72 divided by 2 is 9. So the length is 9
Step-by-step explanation:
Write the number 16408 in words.
Answers
Answer:
Step-by-step explanation:
Sixteen thousand, four hundred and eight
Hope this helps!
purple paint is made from using red paint and blue paint in the ratio 1:2
write an equation for y in terms of x to show the relationship between the amount of red paint (y) and the amount of blue paint (x)
Answers
Answer:
[tex]y = \frac{x}{2}[/tex]
Step-by-step explanation:
Given
[tex]y : x = 1 : 2[/tex]
Required
Represent as an equation
[tex]y : x = 1 : 2[/tex]
Represent as a fraction
[tex]\frac{y }{ x} = \frac{1}{ 2}[/tex]
Cross multiply
[tex]y * 2 = x*1[/tex]
Divide both sides by 2
[tex]y = \frac{x*1}{2}[/tex]
[tex]y = \frac{x}{2}[/tex]
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answers
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Find the slope of the line for the angle.
330 degrees
Answers
How this helped!
Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
respectively 11 and — 2 there. Check your work with a graphing utility.
f() =
Answers
Let f(x) = ax ³ + bx ² + cx + d.
The graph of f(x) passes through (4, -22) and (3, -26), which means f (4) = -22 and f (3) = -26, so that
64a + 16b + 4c + d = -22
27a + 9b + 3c + d = -26
When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So f ' (4) = 11 and f ' (3) = -2. We have
f '(x) = 3ax ²+ 2bx + c
so that
48a + 8b + c = 11
27a + 6b + c = -2
Solve the system:
• Eliminate d :
(64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -22 - (-26)
→ 37a + 7b + c = 4
• Eliminate c :
(48a + 8b + c) - (27a + 6b + c) = 11 - (-2)
→ 21a + 2b = 13
(48a + 8b + c) - (37a + 7b + c) = 11 - 4
→ 11a + b = 7
• Eliminate b, then solve for a and the other variables:
(21a + 2b) - 2 (11a + b) = 13 - 2 (7)
-a = -1
a = 1 → b = -4 → c = -5 → d = -2
Then
f(x) = x ³ - 4x ² - 5x - 2
A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.
Answers
Answer:
The answer is "0.586"
Step-by-step explanation:
Please find the solution to the given question:
[tex]z= \frac{0.65-0.61}{\sqrt{\frac{0.65 \times 0.35}{100}+\frac{0.61 \times 0.39}{100}}}[/tex]
[tex]= \frac{0.04}{\sqrt{\frac{0.2275}{100}+\frac{0.2379}{100}}}\\\\= \frac{0.04}{\sqrt{0.002275+0.002379}}\\\\= \frac{0.04}{\sqrt{0.004654}}\\\\= \frac{0.04}{0.0682202316}\\\\=0.586336327\\\\[/tex]
Describe a congruence transformation that mapsABCD to APQR.
Answers
I don’t know what to do please help
Answers
Answer:
f(2)=0
Step-by-step explanation:
You plug in 2 for any X's in the equation
f(2)=2^2-4
Then f(2)=2^2-4.
= 4-4
=0
Don’t write this in answer just to explain:the value of x is 2 so in the eq
X^2-4 so we write 2 where the x is
= 2^2-4 ...now solve it as above
The area of a rectangular garden is 120 square meters. The width is 4 meters longer than one-half of the length. Find the
length and the width of the garden. Use the formula, area = length • width.
Answers
Answer:
Step-by-step explanation:
“The area of a rectangular garden is 120 square meters.”
LW = 120
“The width is 4 meters longer than one-half of the length.”
W = 0.5L + 4
L = 2W-8
Substitution
(2W-8)W = 120
2W^2-8W-120 = 0
W^2 -4W-60 = 0
W = 10, -6
-6 is an extraneous solution.
W = 10 meters
L = 2W-8 = 12 meters
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
Answers
Answer:
She can make [tex]18[/tex] unique outfits.
Step-by-step explanation:
Jamie has [tex]3[/tex] options to choose from for a shirt (white, blue, or pink), [tex]3[/tex] options to choose from for pants (black, white, or beige), and [tex]2[/tex] options to choose from for shoes (black or brown). Therefore, she can make [tex]3*3*2=18[/tex] unique outfits from these options. Hope this helps!
Can someone please help me
Answers
Answer:
A) 23cm.
B) 32.0625 square cm.
Step-by-step explanation:
Perimeter: Just add all the sides together like so:
4.75x2 + 6.75x2 = 23cm.
Area: Multiply the base and height together:
4.75 x 6.75 = 32.0625 square cm.
23cm
4.75 + 4.75 = 9.50
6.75 + 6.75 = 13.50
13.50 + 9.50 = 23.00
please solve and receive brain list
Answers
Answer:
-1 and -4
Step-by-step explanation:
Answer:
x = -1 y = -4
Step-by-step explanation:
6x + 2y = -14
-12x + 5y = -8
x= -1
y = -4
guys help. show work please
Answers
9514 1404 393
Answer:
2^17×3^7
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
__
[tex](2^9\times3^5)\times(2^4\times3)^2=2^9\times3^5\times2^{4\cdot2}\times3^2\\\\=2^{9+8}\times3^{5+2}=\boxed{2^{17}\times3^7}[/tex]
Solve the following system of linear equations by graphing:
2x + 2y = 10
8x + 8y = 24
Answers
Answer:
Step-by-step explanation:
-8x - 8y = -20
8x + 8y = 24
0 ≠ 4
2y = -2x + 10
y = -x + 5
8y = -8x + 24
y = -x + 3
inconsistent
Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
Answers
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
Write an expression that shows 10 *4.
Answers
40=40
40 is equal to 40
Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a
Answers
Answer:
the statement would be false.
Step-by-step explanation:
Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.
write the equation for the function of the graph below
Answers
Answer: (1) [tex]y= \sqrt{x+2}-2[/tex] (2) y = (x - 3)³
D: x ≥ -2 [-2, ∞) D: -∞ < x < ∞ (-∞, ∞)
R: y ≥ -2 [-2, ∞) R: -∞ < y < ∞ (-∞, ∞)
Inc: x > 2 (2, ∞) Inc: (-∞, 3) ∪ (3, ∞)
Dec: never Dec: never
Step-by-step explanation:
NOTES:
Domain is the x-values.
Range is the y-values.
From left to right: increasing when going up and decreasing when going down. The anchor and turning point are not considered to be increasing or decreasing.
Would this be infinite solutions or no solution?
Answers
Answer:
Need help with this plz
Answers
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
-1/2x-(1/2x+4)+12=17x-6(3x+5/6) What value of x makes the equation true? Show your work please.
Answers
Answer:
No Solution
Step-by-step explanation:
Keep in mind that if the grouping isn't right, then my result will be wrong:
-1/2x-(1/2x+4)+12=17x-6(3x+5/6)
Let me just change the formatting for convenience, and then begin the calculations:
[tex]-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:[/tex]
[tex]-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5[/tex]
[tex]-2\cdot \frac{1}{2}x-4+12=17x-18x-5[/tex]
[tex]-x-4+12=17x-18x-5[/tex]
[tex]-x+8=17x-18x-5[/tex]
[tex]-x+8=-x-5[/tex]
[tex]-x=-x-13[/tex]
[tex]0=-13[/tex]
Result: No Solution
In the slope 5/9, the 5 indicates to
A. Rise 5 units
B. Run 5 units
C. Fall 5 units
Answers
HELP PLEASE IT IS EASY I SWEAR PLEASE HELP I SWEAR IT EASY PEASY
Answers
Answer:
the answer is 15
Step-by-step explanation:
Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What is her prevent of error
Answers
Answer:
Step-by-step explanation:
Donna guessed 400 but there were 480 so she was off by 80