f(x) = x^2 - 5x - 14
g(x) = x - 7

(f + g)(-3) =
(f - g)(-3) =
(g - f)(-2) =

Answers

Answer 1

Answer:

See attached image.

Step-by-step explanation:

Calculate the vales of each function (f and g) for the value of x as indicated.  Then perform the arithmetic operation on the results.  For example:

f(-3) = 10

g(-3) = -10

Then (f+g)(-3) is 10 - 10 = 0

(f-g)(-3) is 10 -(-10) = 20

and so on, as shown.

F(x) = X^2 - 5x - 14 G(x) = X - 7(f + G)(-3) = (f - G)(-3) =(g - F)(-2) =

Related Questions


If the exterior angle of a regular
polygon measures 12°, how
many sides does the polygon
have?

Answers

Answer:  30

Work Shown:

E = exterior angle = 12 degrees

n = number of sides

n = 360/E

n = 360/12

n = 30

This regular polygon has 30 sides.

Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the account. He will be receiving 3.5% interest compounded monthly on his investment. Will he reach his goal?
No
Yes

Answers

Answer:

Yes

Step-by-step explanation:

With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.

So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil

Hope this helps!

a
In a survey of 450 people, 74% admitted that
they hate brussels sprouts. How many people in
this survey hate this vegetable?

Answers

Answer:

333 people

Step-by-step explanation:

74% of 450 = 0.74

0.74 × 450 = 333

Have a great day! :D

There are 333 peoples in this survey hate this vegetable.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

In a survey of 450 people, 74% admitted that they hate brussels sprouts.

Hence, Number of peoples in this survey hate this vegetable is,

⇒ 74% of 450

⇒ 74/100 × 450

⇒ 333

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10×10^-11
[tex]10 \times 10 to \: the \: power \: of \: - 11[/tex]


10×10^-11

Answers

Answer:

[tex] {10}^{ - 10} [/tex]

Step-by-step explanation:

since the base is the same you have to add +1 to -11 which equals to -10

Explain why this comparison is either reasonable or not reasonable. 3.4 < 3.36

Answers

Answer:

3.4>3.36

Step-by-step explanation:

It is not reasonable because 3.4 is greater than 3.36.

Find the length of x

Answers

It’s a simple ratio. Set it up like this and cross multiply 5/3=4.5/X

What is the answer to 11 > b + 4 > -6

Answers

[tex]11 > b+4 > -6\\11 - 4 > b > -6-4\\7 > b > -10[/tex]

Hope that helps!

use the following function to find f(2) f(x) = 11x + 2

Answers

Answer:

123

Step-by-step explanation:

insert 2 everywhere you see an x

11^2 +2 = 121+2 = 123

HOPE THIS HELPS!!!

What is the value of n?

Answers

Answer:

4x6=3*n

Step-by-step explanation:

just got it off the web enjoy might not be right

The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to go, how many miles do you have to ?

Answers

Scale : 1 inch = 30 miles

So, the ratio between the distance on the map and the real distance is 1:30

When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.

Call the miles we have to go : x

1:30 = 4.5:x

(1x4.5):(30x4.5) = 4.5 : x

4.5 : 135 = 4.5 : x

So, x = 135 => We have to go 135 miles to get to the place we want to go.

The Coffey family went out to dinner. Their meal cost $75. They used a 20% off coupon. How much did their meal cost after using the coupon

Answers

The final price after the coupon would be 60.00 a saving of 15.00 dollars

How much would $200 invested at 4% interested compounded monthly be worth after 8 years? Round your answer to the nearest cent. A(t)=P (1+r/n)^nt

Answers

Answer:

the answer for this question is (D).

Step-by-step explanation:

given

P=200

R=0.04

N=12 (12 months in 1 year)

t=8

A=275.279

round

275.28

(D) is the answer to your question

#ACE

#Quality answers

#brainliest

also i just learned this so i should be right

in an isosceles right triangle ABC, the right angle is at B, which is the hypotenuse?
A. AB
B. BC
C. AC
D. BA

Answers

Answer: c

AC is the hypotenuse

C AC is the hypotenuse

HELP PLEASE PLEASEE I WILL GIVE 50 POINTS

Answers

Answer:

the first one is 3 4 6 8

the cost is 9.75 i belive and then 15

Step-by-step explanation:

sorry if im wrong

Find the area of the composite figure below.

Answers

Answer:

15

Step-by-step explanation:

To find area, you must add.

Can someone help with this challenging graph ​

Answers

Answer:

(a) (-∞, -8) (-6, -4) (-2, ∞)

(b) -6, -2

(c) negative

(d) 5

Step-by-step explanation:

(a)  A function is "decreasing" when the y-value decreases as the x-value increases.

⇒ the function is decreasing over these intervals : (-∞, -8) (-6, -4) (-2, ∞)

(b) Local maxima are the points on the function where it reaches a maximum.

⇒ maxima at x = -6 and x = -2

(c) negative

(d) 5

can someone help me with my math problem, im having trouble understanding the question, also this is 6th grade math.

Answers

Answer:

B

Step-by-step explanation:

as far as I can tell, Check the picture below.

[tex]\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{\cfrac{13}{4}\implies \stackrel{\textit{how many times does }\frac{3}{4}\textit{ go into }\frac{13}{4}?}{\cfrac{3+3+3+3+1}{4}\implies \underset{\textit{4~times with a remainder of }\frac{1}{4}}{\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}~~ + ~~\cfrac{1}{4}}}}~\hfill \blacktriangleright 3\frac{1}{4}\div \cfrac{3}{4} \blacktriangleleft[/tex]

m∠BAC=43 and BA=9 What is the length of arc BDC? Round to the nearest tenth.

Answers

Answer: 224.1

Step-by-step explanation:

HELP PLEASE
A circle has a diameter AB, and its center is at (-3, 3). Point A is at (1/2,6). Where is point B located?

a-(-6.5, 0)
b-(6.5, 0)
c-(0, -6.5)
d-(-1.25, 4.5)

Answers

letter c.

\green{ \huge{ \boxed{ \tt{{ ANSWER }}}}}

ANSWER

\huge\green{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

The required coordinates of point B is (-6.5, 0), therefore option a is correct.

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, point A is given as (1/2, 6) and the center of the circle is at (-3, 3). Let's denote the coordinates of point B as (x, y). Since the center of the circle is the midpoint of the diameter AB, we can set up the following equation:

Midpoint = ((1/2 + x) / 2, (6 + y) / 2) = (-3, 3)

Now, let's solve for x and y:

1/2 + x = -6

x = -6 - 1/2

x = -6.5

6 + y = 6

y = 6 - 6

y = 0

So, the coordinates of point B are (-6.5, 0).

Therefore, the correct answer is an option: a-(-6.5, 0).

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A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.

Answers

The volume of the resulting prism is 3.375 times of original volume.

What is a dilation or scale factor?

The factor by which the dimensions of an object are enlarged is called the scale factor.

Let us take the base area of Prizm = a²

Height of the prism = h

Enlarged area = (scale factor)² * previous area

Enlarged area = 1.5²*a² = 2.25a²

Enlarged height = 1.5h

So, enlarged volume = enlarged area* enlarged height

Enlarged volume= 2.25a²*1.5h = 3.375a²h

Enlarged area/previous area = 3.375a²/a² = 3.375

Therefore, the volume of the resulting prism is 3.375 times of original volume.

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The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?

Answers

Answer:

Hala will have 200 Pennies and 250 nickels.

Step-by-step explanation:

Let x be = number of Pennies

Let y be = number of nickels


x + y = 450

-x         -x

——————

y = -x + 450



0.01x + 0.05y  = 14.50


0.01x + 0.05( -x + 450 ) = 14.50


0.01 - 0.05x + 22.5 = 14.50
-0.04x + 22.5 = 14.50
          -22.5      -22.5

———————————-
-0.04x  = -8

———      —

-0.04      -0.04

x = 200


200 + y = 450

-200        -200

————————

y = 250


Help me pleaseeeeeeee

Answers

(x+51)+(x+59)+84=180 (Sum of angles in a triangle)
2x= 180-194= -14
x=-7

Angle A: x+51=-7+51=44°
The answer to this question is 34

Express as a trinomial. (x-2)(3x-9)​

Answers

Answer:

3x + 9)(x - 2) = 3x(x - 2) + 9(x - 2) = (3x 2 - 6x) + (9x - 18) = 3x 2 + 3x - 18

The radius of a circle is 10 meters. What is the length of a 135° arc?

Answers

Answer:

Step-by-step explanation:

The total circumference of the circle is: C = 2*pi*radius = 2*(3.14159)*(6) = 37.7 m The total circle has 365o.  Your arc has only 135o.  Hence: 135o           x-------  =  -------------365o          37.7 m where x is the length of the 135o arc.  Solve for x.

plssssssssssssssssssssss helpppp​

Answers

The answer should be 2kg

Maria invests .93750 at 9.6% per annum for 3 years and the interest is compounded annually. Calculate:
i) The amount to her credit at the end of 2 year
ii) The interest for 3rd year.

Please answer its important

Answers

1year
P=93750
R=9.6%
T=1year
SI=PRT/100
SI=9000
2year
P=102750
R=9.6%
T=1year
SI=PRT/100
=9864
3year
P=112615
R=9.6%
T=1year
SI=PRT/100
=112614×9.6×1
=10810

Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.

Answers

She needs to walk 3/8 of a mile to reach her destination

Difference of fractions

Fractions are written as a ratio of two integers

Given the following parameters

Total distance walked = 1/2 miles

Distance walked so far= 1/8 miles

Determine the miles she needs to go further

D = 1/2 - 1/8

D = 4-1/8

D = 3/8

Hence she needs to walk 3/8 of a mile to reach her destination

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Where in real-life will we come across something that is more than 100%, e. G. 135%? Give three examples

Answers

Real life situations can be represented using mathematical statements

Examples of real life situations of things more than 100% are:

Markup pricesEnlarging the area of a gardenIncrease in savings

How to determine the real life scenarios

When something is greater than 100%, then there is an increment in the thing.

Take for instance, a unit of apple that was sold at $4 is not $10.

The percentage change is 150%

Other possible scenarios are when the area of a garden is enlarged and when you increase your weekly savings by more than 100%

Read more about percentage change at:

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Last week, Kip went to the fair. It costs $4.95 to enter the fair and $0.50 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.


y = $0.50x + $4.95

If Kip spent $12.45 at the fair, how many tickets did he buy?

Group of answer choices

8

15

25

35

Answers

Answer:

x = 15

Step-by-step explanation:

[tex]12.45=4.95+0.5\timesx[/tex]×x

Solve the equation

[tex]12.45=4.95+0.5x[/tex]

Rearrange variables to the left side of the equation

[tex]-0.5x=4.95-12.45[/tex]

Calculate the sum or difference

[tex]-0.5x=-7.5[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-7.5}{-0.5}[/tex]

Determine the sign for multiplication or division

[tex]x=\frac{7.5}{0.5}[/tex]

Multiply both the numerator and denominator with the same integer

[tex]x=\frac{75}{5}[/tex]

Cross out the common factor

[tex]x=15[/tex]

I hope this helps you

:)

(show ur work) what is 9 3/5 ÷ 3 1/3 =

Answers

Answer:

2 22/25

Step-by-step explanation:

9 3/5 ÷ 3 1/3

We need to convert to improper fractions

9 3/5 = ((5*9)+3) /5 = 48/5

3 1/3 = (( 3*3)+1)/2 = 10/3

48/5 ÷ 10/3

Copy dot flip

48/5 * 3/10

Rewrite

48/10 * 3/5

24/5 * 3/10

72/25

Rewrite as a mixed number

50/25 + 22/25

2 22/25

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