Given f(x) = (1/4) -x, evaluate f(-2), f(1), and f(2). Question 3 options: a. 1/16, 4, 16 b. 16, 1/4, 1/16 c. 16, 4, 16 D. 16, 4, 1/16

Answers

Answer 1

Answer:

1/16 ;4 ; 16

Step-by-step explanation:

Given that :

f(x) = 1/4^-x

f(-2) = 1/4^-(-2)

f(-2) = (1/4)^2

f(-2) = (1/16)

f(1) = 1/4^-1

f(1) = 1 / (1/4)^1

f(1) = 1 * 4/1 = 4

f(2) = 1/4^-2

f(1) = 1 / (1/4)^2

f(1) = 1 / (1/16)

f(1) = 1 * 16/1 = 16


Related Questions

Triangle ABC is similar to triangle EFD what scale factor is required to dilate triangle abc so that it's image, ABC is congruent to triangle EFD

Answers

Step-by-step explanation:

the scale factor k = 5/12

The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

From the figure attached, we are given that Triangle ABC is similar to triangle EFD.

Therefore,

BC/ FD = AC/ ED

These corresponding sides are proportional.

Scale factor;

EF / AB = 5/12

Then Angle between this sides is also equal.

The SAS rule of similarity of triangles states that two triangles will be similar if their corresponding two sides are proportional and the angle between these two sides is equal.

The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.

Learn more about scale factors here:

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if a student is selected at random, find the probability that the student is 14 year old​

Answers

Answer:

If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.

Step-by-step explanation:

14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart

please help! (listing BRAINLIST and giving points) ​

Answers

The Answer will be 24/25
Hope it helps : )
24/25, have fun! N good luck lol.

I’m stuck between 51 or 42 HELP!!!

Answers

Answer:

51

Step-by-step explanation:

Have a nice day :)

fill in the missing digits pls asap

Answers

Answer:

3 8

× 2 7

______

2 6 6

+ 7 6

_______

1 0 2 6

Answer:

     38

x    27

   266

+  76_

 1026

PLS HELP ASAP !!! PLSSS !! will mark whoever answers correctly as brainliest !

Answers

Answer:

60° is the answer sure

I hope the above pic explanation helps

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Answer:

60°

Step-by-step explanation:

....................................

1,4,1,8,1,16,1 what’s next in the sequence?

Answers

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 4, 0), (-2, -5, 2), and (-2, 2, 1).

Answers

Answer:

17 cubic units.

Step-by-step explanation:

The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.

V = |(a x b) · c|

In this case,

a = (1,4,0) = i + 4k + 0j

b = (-2,-5,2) = -2i -5j + 2k

c = (-2,2,1) = -2i + 2j + k

First, let's calculate the cross product of vectors a and b. i.e a x b as follows:

(i) Arrange the vectors in a matrix form

a x b = | i        j         k |

          | 1       4        0 |

          | -2    -5        2 |

(ii) Calculate the determinant of the matrix

a x b = i(8 - 0) -j(2-0) + k(-5+8)

a x b = i(8) -j(2) + k(3)

a x b = 8i - 2j + 3k

Secondly, calculate the scalar product of the cross product found above and the vector c as follows;

(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)

Multiply like terms

(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k)             [i.i = j.j = k.k = 1]

(a x b) . c = (-16) + (-4) + (3)

(a x b) . c = -16 - 4 + 3

(a x b) . c = -17

Thirdly, find the absolute value of the result found above. i.e

|(a x b) . c| = |-17|

|(a x b) . c| = 17

Therefore, the volume of the parallelepiped is 17 cubic units.

Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that the average community pool membership cost consists of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 40.

Identify and interpret the y-intercept in this model.

Answers

the y intercept should be 40 as it’s the base you pay for the membership, and another $15 per month.

Answer:

40

Step-by-step explanation:

You can find y intercept by looking at the end of the equation, that’s what’s added. So +40 is the y intercept

The y intercept in this equation represents the one-time registration fee

Circle P contains a diameter AB with coordinates A(1, 2) and B(-7, 2).
5a) State the coordinates of the center.
5b) Determine the length of the radius.

5c)Johnny used the above information for the center and radius and come up with the equation below. Do you agree or disagree with his answer? Explain.
PLEASE ANSWER I DONT HAVE MUCH TIME

Answers

Answer:

[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]

[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]

radius = 8÷2

= 4 units

Johnny was right

[tex]inverse function of \frac{3^x+2}{3^x-5}[/tex]

Answers

Answer:

[tex](3 {}^{x} + 2)(3 {}^{x} + 2)[/tex]

hope it is helpful to you

ESTION 1
T1
- Say whether you think each statement is True or False. Motivate your answer.
1 It always makes sense to talk about a certain percentage of a number, for example 1%​

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

"Always" and "never" statements are generally false--especially when they relate to something like a topic of conversation. Even in the context of math and physics, we find exceptions to most "rules."

4 1) Which of the following is the correct way to solve
(i( 11 x 44? 4 X 11 44 (0) (ii) 4 X 44 11 X 44 4 X 44 11 (iii) (iv) 11 X 44​

Answers

Answer:

c)4*44 / 11

Step-by-step explanation:

which of the following is the correct way to solve 4/11 * 44

a) 4*11 / 44

= 44/44

= 1

b) 4*44 / 11*44

= 176/484

= 44/121

c)4*44 / 11

= 176/11

= 16

d)11*44 / 4

= 484/4

= 121

Correct way

4/11 * 44

= (4 * 44) / 11

= 16

Complete the explanation on why it is a good idea to use multiple samples when making comparative inferences about two populations.

It is a good idea to use multiple random samples to see how statistical measure vary among the ————-(different/same) samples.

Answers

272 differ samples that’s the answer

Question 3
Simplify
4x² × 2x³​

Answers

Step-by-step explanation:

[tex]4 {x}^{2} \times 2 {x}^{3} = 8 {x}^{5} [/tex]

Answer:

Step-by-step explanation:

4x^2 * 2x^3

(2)^2 *x^2 *2*x^3

(2)^2+1 *x^2+3

(2)^3 *x^5

8*x^5

8x^5

another method

4*x^2*2*x^3

multiply 4 and 2

8*x^2+3

8x^5

in multiplication if the bases are same we add their power(exponent).In division if the bases are same we subtract their power(exponent).

In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rhombus cross at right angles.

  2x +70 = 90

  2x = 20 . . . . . . . subtract 70

  x = 10 . . . . . . . . . divide by 2

Evaluate A= 2
B= 3
C= 5
) A2+B 2+ C2
C2-4A + 2B

Answers

Mark brainliest please

Answers

A : 38
B :23

Need explanation and answer

Answers

1=22e 3663 30-4949-29238342

Answer:

[tex]x = \sqrt{12} = 3.464[/tex]

Step-by-step explanation:

[tex]AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.[/tex]


What are the domain and range of this function?

Answers

Answer:

first one. domain: all real numbers, range: {y | y ≥ 0}

Answer:

The domain is all real numbers

The range is y ≥ 0

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y ≥ 0

[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]

Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)

A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4

Answers

9514 1404 393

Answer:

  C. A horizontal stretch by a factor of 5/4

Step-by-step explanation:

Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.

The police station has a parking lot that is 72 feet long by 41 feet wide. Each parking spot measures 8 feet wide and 18 feet deep. Each spot has 23 feet behind it Por the cars to back out. How many parking spots can the police station have?​

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

The total depth of a parking space must be (18 ft +23 ft) = 41 ft. The lot is 72 ft by 41 ft, so can have (72 ft)/(8 ft) = 9 parking spaces.

Tom and his four friends are going to a baseball game. If the total amount they spent on tickets was $50, how much did they spend on each ticket?

Answers

12.50 on each ticket

Step-by-step explanation:

12.50 x 4 = 50.00

help help please help help

Answers

Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

plz plz guys solve this i will give you brainliest ​ with procedure

Answers

Answer:

5:9

Step-by-step explanation:

1/5kg:360g

kg to g

1kg=1000g

1/5kg=1/5x1000

=200g

200g:360g

200g/360g

200/360

5/9

5:9

In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics. Does drug testing reduce use of illegal drugs? A study compared two similar high schools in Oregon. Wahtonka High School tested athletes at random and Warrenton High School did not. In a confidential survey, 6 of 108 athletes at Wahtonka and 28 of 129 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs from the populations of athletes at similar schools with and without drug testing.

Required:
a. You should not use the large-sample confidence interval. Why not?
b. The plus four method adds two observations, a success and a failure, to each sample. What are the sample sizes and the numbers of drug users after you do this?

Answers

Answer:

b

Step-by-step explanation:

Given that tangent squared theta = three-eighths, what is the value of secant theta?

Answers

Answer:

[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]

Step-by-step explanation:

Given

[tex]\tan^2 \theta = \frac{3}{8}[/tex]

Required

[tex]\sec\ \theta[/tex]

We have:

[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]

This gives:

[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]

Take lcm and solve

[tex]\sec^2\theta = \frac{9+3}{8}[/tex]

[tex]\sec^2\theta = \frac{11}{8}[/tex]

Take square roots

[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]

[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]

Rationalize

[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]

Answer:

answer is B

Step-by-step explanation:

i got it right on edg

Solve the equation a=m-n for the variable n

Answers

Answer:

m-a = n

Step-by-step explanation:

a=m-n

Subtract m from each side

a-m = m-n-m

a-m = -n

Multiply each side by -1

-a+m = n

m-a = n

What value of x will make the triangle congruent

Answers

Answer:

x = 3/5 = 0.6

Step-by-step explanation:

By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:

7x - 3 = 2x

-3 = -5x

3/5 = x

Simplify the polynomial (4n2 + 3n - 5) - (2n2 + 3n+ 6)

Answers

We keep brackets

(4n^2 + 3n - 5 ) -  (2n^2 + 3n + 6)

We change signs and we group

4n^2 - 2n^2 + 3n - 3n - 5-6

We simplify

2m^2 - 11

Answer: = 2.n^2  - 11

The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11

How to simplify the expression?

The polynomial expression is given as;

(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)

Open the bracket

4n^2 + 3n - 5 - 2n^2 - 3n- 6

Evaluate the like terms

2n^2 - 11

Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11

Read more about polynomials at:

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NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

Which expression is equivalent to (1/√y)^-1/5?

A: 1/10√y

B: 1/√y^5

C: 10√y

D: 5√y^2​

Answers

Answer:

C

Step-by-step explanation:

(1/√y)^-1/5

= (1/sqrt(y))^(-1/5)

=sqrt(y)^(1/5)

=y^(1/10)

= (tenth root of y)

=C

:)

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