Evaluating function expressions

-1•f(-8)-4•g(4)=

Evaluating Function Expressions -1f(-8)-4g(4)=

Answers

Answer 1

Answer: -7

Step-by-step explanation:

To find f(-8) look at the f function. Find the y value when x = -8

To find g(4) look at the g function. Find the y value when x = 3

Plug these values into the equation

-1 f(-8) - 4 f(4)

-1 (-5) - 4 (3)

5 - 12 = -7


Related Questions

Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out - squares from each corner. The length of the original piece of cardboard is more than the width. If the volume of the box is , determine the dimensions of the original piece of cardboard.

Answers

Question is not complete, so i have attached it.

Answer:

Length = 30 inches

Width = 22 inches

Step-by-step explanation:

Let the width of rectangular sheet be x inches.

Let the length of the sheet be (x + 8) inches.

Now, after she cuts 4 inches squares from each corner, she will get a box of length: x + 8 - 4 - 4 = x inches , width: (x - 8) inches and height 4 inches.

Now, volume of a cube is;

V = lwh

Thus;

V = x(x - 8)(4)

We are told that the volume of the box is 2640 in³

Thus;

x(x - 8)(4) = 2640

Divide both sides by 4 to get;

x(x - 8) = 660

x² - 8x - 660 = 0

Using quadratic formula, we have;

x = 30 or - 22.

We will use x = 30 as the other one is negative.

Since we earlier deduced that she will get a box of will get a box of length: x inches , width: (x - 8) inches

Thus,

Length = 30 inches

Width = 30 - 8 = 22 inches

When all possible differences between pairs of population means are evaluated not with an F test, but with a series of regular t tests, the probability of at least one:

Answers

Answer:

When all possible differences between pairs of population means are evaluated not with an F test, but with a series of regular t tests, the probability of at least one:

A. type I error is larger than the specified level of significance.

B. type II error is larger than the specified level of significance.

C. type I error is smaller than the specified level of significance.

D. type II error is smaller than the specified level of significance.

Answer :  Type I error is larger than the specified level of significance.( A )

Step-by-step explanation:

An F test is a test that is used to test whether the variances between pairs of populations are equal while a T test is a test used to check if a pair of population are equal not considering the fact that the variances of the population are different .

When a T test is used to evaluate all possible differences between pairs of population instead of F test there is a probability of atleast one type 1 error larger than the specified level of significance.

Convert 50 yards into meters.
A. 45.87 meters
C. 72.45 meters
B. 50 meters
D. 60 meters

Answers

Convert 50 yards into meters.

A. 45.87 meters

C. 72.45 meters

B. 50 meters

D. 60 meters

It's actually 45.72 but A is the closest :)

Answer:

Hey there!

One yard is about 0.9144 m.

Thus, 50 yards would be about 45.87 meters.

Let me know if this helps :)

Reduce the following fraction to lowest terms: 8/14

Answers

Answer:

4/7

Step-by-step explanation:

divide both by two for its simplest form

Answer:4/7

Step-by-step explanation

Divide both the numerator and denominator by 2

The result for the numerator is 8/2=4

that of the denominator is 14/2=7

Therefore the resultant answer is 4/7

simplify the following expression by combining like terms 2x+7x^2-5x+8x^2

Answers

Answer:15x^2-3x

Step-by-step explanation:

PLEASE HELP!!! Sarah had a balance of $155 in her bank account at the start of the week. She withdrew $65.50 on Monday, $23.25 on Wednesday, and $26.45 on Thursday. On Friday she deposited $165.30. Write an expression that represents Sarah's spending. *

Answers

Answer:

155.00-65.50-23.25-26.45+165.30

Step-by-step explanation:

Answer:

155 + 165.3 - 65.5 - 23.25 - 26.45

Step-by-step explanation:

She had $155 dollars in the starting = +155

She withdrew $65.5 = -65.5

She withdrew another $23.25 = -23.25

She withdrew another $26.45 = -26.45

She deposited $165.3 = +165.3

The expression looks like:

155 + 165.3 - 65.5 - 23.25 - 26.45

We could solve the expression:

155 + 165.3 - 65.5 - 23.25 - 26.45

=> 320.3 - 88.75 - 26.45

=> 320.3 -115.2

=> 205.1

At the end of the week, she had a total of $205.10.

What is the value of (–7 + 3i) + (2 – 6i)?

a. –9 – 3i
b. –9 + 9i
c. –5 + 9i
d. –5 – 3i

Answers

Answer:

d

Step-by-step explanation:

(-7 + 3i) + (2-6i)

=-7 + 3i + 2 -6i

=(-7+2) + (3i -6i)

=-5 -3i

Answer:

(-7+3I)+(2-6I)

= -7+3i+2-6i

= -5-3I

so answer is d ie -5-3i

How many faces does the polyhedron have? 3 5 6 9

Answers

If I’m correct there are five faces

Answer:

there are many types of polyhedron.

Basically about which one you want to know?

Step-by-step explanation:

Pentahydron. A polyhedron with 5 faces.

Hexahyderon. A polyhedron with 6 faces.

HeptahyderonA polyhedron with 7 faces.

Octahyderon. A polyhedron with 8 faces.

Similarly there are three more...

Please tell me if it was helpful to you.

If not, then ask me again..

2**2-5 what is answer of this equation

Answers

Answer:

[tex]\huge\boxed{-1}[/tex]

Step-by-step explanation:

=> 2 * 2 -5

Multiplying first according to DMAS rule

=> 4 - 5

=> -1

P.s. This is not an equation. This is an expression!

Answer:

[tex]\Huge \boxed{-1}[/tex]

Step-by-step explanation:

[tex]\Rightarrow 2 \times 2 -5[/tex]

Division and multiplication to be performed first.

[tex]\Rightarrow 4-5[/tex]

Addition and subtraction next.

[tex]\Rightarrow -1[/tex]

Lisa built a rectangular flower garden that is 4 meters wide and has a perimeter of 26 meters.
What is the length of Lisa's flower garden?

Answers

Answer:

9 m

Step-by-step explanation:

Given that

Width of rectangular flower garden, w = 4 m

Perimeter of rectangular flower garden, p = 26 m

To find:

Length of Lisa's flower garden = ?

Solution:

First of all, let us understand perimeter, length and width of a rectangle.

Let ABCD be a rectangle. Please refer to the attached image.

Opposite sides of a rectangle are equal to each other.

AB = CD = Length  

Let the length be [tex]l[/tex] m.

BC = DA = Width = 4 m

Perimeter of a closed image is equal to the sum of all the sides of the image.

So, perimeter of ABCD:

[tex]p = AB + BC + CD + DA \\\Rightarrow \bold{ p = 2 \times (Length +Width)}[/tex]

[tex]26 = 2 \times (l +4)\\\Rightarrow 2l =26-8\\\Rightarrow \bold{l = 9 m}[/tex]

Evaluate m^2 − 2m + 5 for m = − 2

Answers

Answer:

[tex]\huge\boxed{13}[/tex]

Step-by-step explanation:

m²-2m + 5

Given that m = -2

[tex]\sf (-2)^2-2(-2)+5\\4 +4 + 5\\13[/tex]

Answer:

13

Step-by-step explanation:

m^2 − 2m + 5

Let m = -2

(-2)^2 -2(-2) +5

4 +4 +5

13

If this first answers correct what is the answer to the second question? Are they even connected?

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

9) We know that the perimeters of the square and triangle are equal so to find x, we can write:

4(x - 5) = x + x + 12

4x - 20 = 2x + 12

2x = 32

x = 16

10) To find the perimeter, we can substitute x = 16 into 4(x - 5) which would be 4(16 - 5) = 4 * 11 = 44.

In complete sentences explain how you would factor the numeric expression 34 + 12 + 20.

Answers

Answer:

We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:

5x² - 5x - 100 let the problem equal to zero such as:

5x² - 5x - 100 = 0 , factor out 5 from the given trinomial

5(x²-x-20) = 0

5 (x-5)(x+4) = 0

The correct factor is 5(x-5)(x+4).

Step-by-step explanation:

(4 points) Determine whether each of these functions is O(x 2 ). Proof is not required but it may be good to try to justify it (a) 100x + 1000 (b) 100x 2 + 1000 (c) x 3 100 − 1000x 2 (d) x log x (2) (2 points) U

Answers

Answer:

(a) O(x²)

(b) O(x²)

(c) O(x²)

(d) Not O(x²)

Step-by-step explanation:

If a function is O(x²), then the highest power of x in the function ia greater or equal to 2.

(a) 100x + 1000

This is O(x), not O(x²)

(b) 100x² + 1000

This is O(x²)

(c) x³.100 − 1000x²

This is O(x²)

(d) x log x²

This is not O(x²)

a highschool basketball game won 36 percent of the games that it played last season the team won exactly 9 games last season what is the total number of games that the team played

Answers

Answer:

Total games played = 25

Step-by-step explanation:

Percentage games won by the basketball team = 36%

Exact number of games won by the team = 9

Let the total games played by the team = x

Therefore, total number of games won = 36% of x

                                                                 = [tex]\frac{36}{100}\times x[/tex]

Equation which represents the games won by the team will be,

[tex]\frac{36}{100}\times x=9[/tex]

x = [tex]\frac{9}{0.36}[/tex]

x = 25

Therefore, total games played by the basketball team are 25.

When the scale factor is one what is the ratio of the side length of the side opposite angle a and the length of the hypotenuse

Answers

Answer:

me ajuda por favor matemática

Your job in a company is to fill quart-size bottles of oil from a full -gallon oil tank. Then you are to pack quarts of oil in a case to ship to a store. How many full cases of oil can you get from a full -gallon tank of oil?

Answers

Answer:

See below.

Step-by-step explanation:

1 gal = 4 qt

With a full gallon oil tank, you can fill 4 1-qt bottles.

The problem does not mention the number of quarts that go in a case, so there is not enough information to answer the question.

Also, is the full tank really only 1 gallon, or is there a number missing there too?

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Foci: (±7, 0); major axis of length 18

Answers

Answer: [tex]\dfrac{x^2}{81}+\dfrac{y^2}{32}=1[/tex]

Step-by-step explanation:

The standard form of equation of ellipse with foci (±c,0) as:

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

, where major axis = 2a and minor axis = 2b

Given: Foci: (±7, 0); major axis of length 18

i.e. c= 7 and 2a =18 ⇒a= 9

Also,

[tex]c^2=a^2-b^2\Rightarrow\ b^2= a^2-c^2\\\\\Rightarrow\ b^2={9^2-7^2}={81-49}\\\\\Rightarrow\ b^2=32[/tex]

Put value of [tex]a^2[/tex] and [tex]b^2[/tex] , we get the required equation :

[tex]\dfrac{x^2}{81}+\dfrac{y^2}{32}=1[/tex]

|3(x–2)|=12 pls help i need assistance

Answers

Answer:

x1 = -4

x2 = 6

Step-by-step explanation:

The 2 vertical lines are "absolute values" meaning whatever they contain has to be positive

For Example

|-3| = 3

So we can ignore if the answer we get is positive or negative because it will forced to be a positive

|3 x 4| = 12

|x - 2| = 4

x1 = 6

x2 = -2

Complete the statement to describe the expression abc+def
The expression consists of ____ terms,and each term contains___ factors

Answers

Answer:

3 each

Step-by-step explanation:

The answer is already on this site

22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representation of f(x) after these transformations?
Options:

A. –f(1/2x)

B. f(–2x)

C. –f(2x)

D. f(–1/2x)

Answers

Answer:

A. -f(1/2 x)

Step-by-step explanation:

Reflextion about the x-axis is

f(x) -> -f(x)

and horizontal dilation is

f(x) -> f(-x/b) where b is the factor of dilation.

so the proper answwer is

A. -f(1/2 x)

. A discount brokerage selected a random sample of 64 customers and reviewed the value of their accounts. The mean was $32,000 with a population standard deviation of $8,200. What is a 90% confidence interval for the mean account value of the population of customers

Answers

Answer:

The  90% confidence interval is  [tex]\$ \ 30313.9< \mu < \$ \ 33686.13[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  64

     The sample  mean is  [tex]\= x = \$ 32, 000[/tex]

     The  standard deviation is  [tex]\sigma= \$ 8, 200[/tex]

     

Given that the confidence interval is  90% then the level of significance is mathematically evaluated as

             [tex]\alpha = 100 - 90[/tex]

             [tex]\alpha = 10 \%[/tex]

            [tex]\alpha = 0.10[/tex]

Next we obtain the critical value of  [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table , the value is  

       [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

  Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{ \sqrt{n} }[/tex]

  =>   [tex]E = 1.645 * \frac{ 8200 }{ \sqrt{64} }[/tex]

  =>   [tex]E = 1686.13[/tex]

The 90% confidence interval is mathematically represented as

      [tex]\= x - E < \mu < \= x + E[/tex]

 =>    [tex]32000 - 1689.13 < \mu < 32000 + 1689.13[/tex]

=>    [tex]\$ \ 30313.9< \mu < \$ \ 33686.13[/tex]

For this problem, use the tables and charts shown in this section. (Use picture provided)
A United States Citizen returning to the States declares the following items at the customs office:
3 shirts at $8.50 each
2 dresses at $27.50 each
1 pair of gold cuff links at $17.50 per pair
If he has not used his duty free exemption yet, how much duty should he pay?
0 $0.00
$5.00
$10.00
$300

Answers

Answer:

0

Step-by-step explanation:

0 because there is a $100 duty free exemption.

answer:

For this problem, use the tables and charts shown in this section.  

A United States Citizen returning to the States declares the following items at the customs office:

3 shirts at $8.50 each

2 dresses at $27.50 each

1 pair of gold cuff links at $17.50 per pair

If he has not used his duty free exemption yet, how much duty should he pay?

$0.00 !

$5.00

$10.00

$300

(Algebra) PLZ HELP ASAP!

Answers

Answer: Rational, integer, whole, natural, real

So basically everything but irrational

====================================================

Explanation:

109 is a rational number because 109 = 109/1. Any rational number is a fraction of two integers. Because of this, it cannot be irrational as "irrational" means "not rational".

An integer is anything that does not have a fractional or decimal part. So it involves the set of positive and negative whole numbers, and zero as well. So we can see that 109 is an integer.

A whole number is very similar to an integer, but we're referring to the set {0, 1, 2, 3, ..} meaning we ignore the negative integers. This makes 109 a whole number as well.

A natural number is from the set {1, 2, 3, ...}. We've kicked 0 out from the set of whole numbers. This is the set of counting numbers. So 109 is also a natural number.

A real number is any number you have encountered so far assuming your teacher has not introduced complex and imaginary numbers yet. Effectively a real number is any number that can be written as decimal. This makes 109 to be a real number.

An online polling site posed this question: "How much stock do you put in long-range weather forecasts?" Among its Web site users, 38, 528 chose to respond Complete parts (a) through (c) below.
a. Among the responses received, 3% answered with "a lot". What is the actual number of responses consisting of "a lot"?
b. Among the responses received, 18, 566 consisted of "very little or none". What percentage of responses consisted of "very little or none"?
c. Because the sample size of 38, 528 is so large, can we conclude that about 3% of the general population puts "a lot" of stock in long-range weather forecasts? Why or why not?
A. No, because the sample is a voluntary response sample, so the sample is not likely to be representative of the population.
B. Yes, because the sample is so large, the margin of error is negligible.
C. No, because even though the sample size is so large, there is still a margin of error.
D. Yes, because the sample size is large enough so that the sample is representative of the population.

Answers

Answer:

(a) 1155.84

(b) 48.2%

(c) D

Step-by-step explanation:

The number of total responses is, N = 38,528.

(a)

It is provided that 3% answered with "a lot".

Compute the actual number of responses consisting of "a lot" as follows:

n (a lot) = N × P (a lot)

            = 38528 × 0.03

            = 1155.84

Thus, the actual number of responses consisting of "a lot" is 1155.84.

(b)

The number of responses consisting of "very little or none" is,

n (very little or none) = 18,566

Compute the percentage of responses consisted of "very little or none" as follows:

[tex]P(\text{very little or none})=\frac{n(\text{very little or none})}{N}[/tex]

                                  [tex]=\frac{18566}{38528}\\\\=0.481883\\\\\approx 0.482[/tex]

The percentage is: 0.482 × 100% = 48.2%.

Thus, the percentage of responses consisted of "very little or none" is 48.2%.

(c)

As the sample size increases the sample statistic value gets closer and closer to the actual population parameter value.

Thus, making the sample statistic an unbiased estimator of the population parameter.

And proving that the sample is a true representative of the population.

Thus, the correct option is (D).

Hunda Corporation’s expected year end dividend amounting to RM1.60, and its required return is 11 percent. The dividend yield is 6 percent and its growth rate is expected to be constant in the future. What is Hunda Corporation’s expected stock price in 7 years?

Answers

Answer:

Hunda expected stock price in 7 years = RM48.12

Step-by-step explanation:

expected year end dividend = RM1.60

required return = 11%

dividend yield = 6%

growth rate = constant

Determine Hunda corporation's expected stock price in 7 years

stock price in 7 years

= expected year end dividend / (required return rate - dividend yield rate )

= 1.6 * (1.06)^7  / ( 0.11 - 0.06 )

= 2.4058 / 0.05 =  48.12%

a scientist used 2 gallons of liquid for every 7 hours he works. he used__of a gallon each hour he works

Answers

Answer: 2/7 of a gallon (in decimal it’s 0.286)

Step-by-step explanation: This one’s really easy.

2/7 of 1 gallon. Checking: so that if you multiply it by 7 it equals to 2

The gallon he used each hour he works is 2/7.

What is unit rate?

A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity.

The common examples used are:

Distance per second

Kilometer per hour

Meter per second

Earning per month

Given,

he used 2 gallons liquid for every 7 hours he works.

gallons used for per hour = 2/7

Hence, He used 2/7 gallons per hour.

To know more about unit rate, visit:

https://brainly.com/question/12727474

#SPJ2

Spud's mom is going to make him a round birthday cake, and has asked for your help. Spud is a bit weird, and has already
announced that when he slices the cake, your slice will have a perimeter of 16 inches, because you're his favorite friend, and
that's his favorite number. Since you're helping his mom with the baking, what diameter cake will you recommend she makes
so that you end up with the most possible cake at weird Spud's party? (Hint: you can ignore the thickness of the cake, since
this will be the same, regardless of its diameter.)

Answers

Answer:

16 x 16 = 256

Step-by-step explanation:

So 256 might be the answer? this is confusing but are you on IXL?

Find the missing side of the triangle. A. √321 yd B. √221 yd C. 3√38 yd D. √21 yd

Answers

Answer:

(B) [tex]\sqrt{221}[/tex] yards

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to find the length of x.

The Pythagorean Theorem states that [tex]a^2 + b^2 = c^2[/tex], where a and b are our legs and c is the hypotenuse.

We need to find c, and we already know a and b, so let's substitute.

[tex]10^2 + 11^2 = c^2\\\\100+121=c^2\\\\221=c^2\\\\c=\sqrt{221}[/tex]

Hope this helped!

Brainly help me Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answers

Answer:

1/3

Step-by-step explanation:

1[tex]\\1\frac{2}{5} =1.4\\\\[/tex]

[tex]1\frac{3}{5} =1.6[/tex]

[tex]1.6+1.4=3[/tex]

3 Liters of Fruit Punch.

3/9=1/3 Fruit Punch among the 9 glasses.

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