8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER​

Answers

Answer 1

Answer:

57.76 in²

Step-by-step explanation:

Plug in 4.6 as x in the equation and solve:

m(x) = x² + 6x + 9

m(4.6) = (4.6)² + 6(4.6) + 9

m(4.6) = 57.76

So, the area of the mat is 57.76 in²


Related Questions

At Wayside High School, 600 boys were asked to
name their favorite food. The results showed that
24 of the boys named pizza as their favorite food.
What percentage of the boys in the survey named
pizza as their favorite food?

Answers

Answer:

4%

Step-by-step explanation:

Percentage = Number of boys who named pizza [tex]\div[/tex] Total number of boys [tex]\times 100[/tex]

Percentage = [tex]\frac{24}{600} *100=0.04*100=4[/tex]

Thus, 4% of the boys named pizza as their favourite food.

If (x-2) is a factor of x^3+kx^2 +12x-8 then k=?

Answers

Answer:

k = - 6

Step-by-step explanation:

Since (x - 2) is a factor then x = 2 is a root

Substitute x = 2 into the polynomial and equate to zero, that is

2³ + k(2)² + 12(2) - 8 = 0

8 + 4k + 24 - 8 = 0

4k + 24 = 0 ( subtract 24 from both sides )

4k = - 24 ( divide both sides by 4 )

k = - 6

f(x) = 3x + 2 and g(x) = 4 – 5x

Answers

Answer:

-2x +6

Step-by-step explanation:

[tex]f(x)=3x+2,\:\\g(x)=4-5x\\\\f(x) +g(x) =\\3x+2+\left(4-5x\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x+2+4-5x\\\\\mathrm{Group\:like\:terms}\\=3x-5x+2+4\\\\\mathrm{Add\:similar\:elements:}\:3x-5x=-2x\\=-2x+2+4\\\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=-2x+6[/tex]

What is the dependent variable in the graph below? a. month of the year b. days of snow fall c. time d. amount of snowfall PICTURE BELOW!

Answers

Answer:

Days of snowfall

Step-by-step explanation:

the y- axis

what is 987 rounded to the nearest tenth? plzzzzz help

Answers

Answer:

990 that's the answer .

Answer:

990

Step-by-step explanation:

x - 4 = 9
Can someone please help me

Answers

Answer:

13!

Step-by-step explanation:

add 14 both sides you should add up to 13 from 9 + 4 and then 13 divided by 1

Please help, I'm really confused with these two questions ):

Answers

Step-by-step explanation:

The die is rigged, so "not 3" is not a possibility.  Ruling out those branches of the tree, there are 4 possible outcomes, one of which is the desired outcome.  So the probability is 1/4.

A fair die has six sides that are equally likely, so the probability of rolling more than 2 is always 4/6.  The outcome of the first roll does not effect the outcome of the second roll.

On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday?

Answers

Answer:

85°F

Step-by-step explanation:

On Friday, the temperature was 82°F.

+ 82

The temperature changed by –2°F on Saturday,

+ -2

and then it changed by 5°F on Sunday.

+ 5

82 + -2 + 5

82 + -2 = 80

80 + 5 = 85


A rope which is 10.3 centimeters long is cut into 4 pieces of equal length. Write an equation to find the length of
each piece? Use x as the length of each piece of rope.

Answers

x - 4 = 10.3 EQUATION

SOLUTION:

x = 10.3 + 4

x = 14.3

Answer: x = 10.3 ÷ 4

Step-by-step explanation: if we were to work this out forgetting about the equation it can be worked out by dividing the 10.3 by 4 to find the length of the pieces so, now to express it as an equation, we have to add x into our sum 4 × ? = 10.3 : 4x = 10.3. The answer for x would be x = 2.58.

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

267.94

Step-by-step explanation:

V=4/3(pi)r^2

V=4/3(3.14)8^2

V=4/3(3.14)64

V=4/3(200.96)

V=267.94

Answer:

2144.7 m^3

Step-by-step explanation:

Taylor needs to know if 0.775 is a rational number. Which of the following is the first step Taylor should try?

Multiply 0.775 by 100 to get 77.5
Subtract 0.775 from 77.5
Write 0.775 as
Divide 1,000 by 775

Answers

Answer:

im pretty positive its divide  1,000 by 775, correct me if im wrong.

Answer: It is A multiply .775 by 100 to get 77.5

Step-by-step explanation:

AE, DBG and CF are parallel. DA = DB = DC. Angle EAB = angle BCF = 38° what is x

Answers

Solution:

angle DBC = 38° ( Alternate Interior Angles )

angle ABD = 38° ( Alternate Interior Angles )

2 (angle ADC) = angle ABC

or, 2 (angle ADC) = 38° + 38°

or, 2 (angle ADC) = 76°

or, angle ADC = 76/2 = 38°

Answer:

x = 38°

A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Answers

Answer:

$4.43

I Hope This help :)

tell me if you need the step by step explaination because it so long long but if you need it i will try my best

is 8.33865… rational

Answers

Answer:

no, 8.33865... is not rational

Step-by-step explanation:

it's an irrational number

The variable y varies directly with the variable x.
y
2
3
10
15
If the value of x is 14, what is the value of y?

Answers

if the value of X is 14 then the value of y is 21

PLEASE HELP 30 POINTS EASY

Answers

Answer

Step-by-step explanation:

Let's solve for z.

a(t+z)=45z+67

Step 1: Add -45z to both sides.

at+az+−45z=45z+67+−45z

at+az−45z=67

Step 2: Add -at to both sides.

at+az−45z+−at=67+−at

az−45z=−at+67

Step 3: Factor out variable z.

z(a−45)=−at+67

The difference of 5 times a number and 13 is 10. Find the
number.

Answers

Answer:

let the number be a.

now,

5a-13=10

or, 5a= 10+13

or, a = 23/5

or, a = 4.6

therefore, the number is 4.6

ms.garcia’s seventh grade class is collecting aluminum cans yo buy new board games. They receive $0.35 for each pound of cans they collect.What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a broad game that cost $27.20

Answers

Answer:

The minimum number of pounds they need to collect is 78

Step-by-step explanation:

27/0.35 = 77.7

but in this specific problem  you can't have less than part of a pound, so the final answer would be 78 pounds

Given the replacement set {0, 1, 2, 3, 4}, solve 6x – 3 = 3.

Answers

Answer: The answer is 1

It is 1

Step-by-step explanation:

need help asap !!!!!!!!

Answers

Answer:with what I could help

Step-by-step explanation:

janel makes bracelets. she uses 48 beads for each bracelet she makes a d has 600 beads. how many braclets can she make​

Answers

Janel can make 12 bracelets. The quotient of 12 and remainder of 24 means that Janel can make 12 bracelets but does not have enough beads for 13 bracelets.

Hope it helps

lovelymoonlight

Janel can make total of 12 bracelets.

DivisionWhat is division?

One of the four fundamental operations, along with addition, subtraction, and multiplication, is division. A number is split in the straightforward action of division.

Relation of dividend, divisor, quotient and remainder:

The following dividend formula can be used to find the dividend if the values of the divisor, quotient, and remainder are provided.

Dividend = Divisor x Quotient + Remainder

Calculation for the number of bracelets:

Janel has total number of beads = 600.

Beads required to make one bracelet = 48.

To calculate the number of beads divide total number of beads by 48.

Beads = 600/48

Quotient comes out as 12 and remained comes out as 24.

Therefore, the total number of bracelets can made is 12.

After completion of 12 bracelets 24 beads will left.

To know more about quotient of a number and it's a reciprocal, here

https://brainly.com/question/673545

#SPJ2

Graph the function rule.
y = 3x + 3

Answers

Answer:

On the y axis (the vertical line titled y) graph a point at 3, then from there rise 3 and walk 1 and plot a point. keep doing this until you can graph a line.

Step-by-step explanation:

hope this helps :)

A baby elephant named Nora was born at a wildlife refuge and weighed 200 lbs when she was
born and gained 22 lbs every week. In preparation for her birth, the staff estimated how much
she would weigh at certain weeks so they could stock some of her food ahead of time. They
documented that at 16 weeks she would weigh approximately 352 lbs. Did they estimate
correctly? If so, explain why. If not, describe what they did wrong and find her accurate weight.​

Answers

Answer:

352 lbs is correct

Step-by-step explanation:

They did estimate correctly. for how to do this look below:

So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs

22 which was current pounds at the time and she would keep gaining that every week for 16 weeks

So weight times weeks

22*16

22*16= 352

Hope this helps!

5x-6y=4 (Slope intercept form)

Answers

Answer:

y = 5x/6 + -2/3

Step-by-step explanation:

To put this equation into slope intercept form, we simply need to solve for the y variable like so:

5x - 6y = 4

-6y = 4 - 5x

y = (4/-6) + (-5x / -6)

y = 5x/6 + -2/3

Cheers.

Answer:

y = 0.83x -0.66

Solve the system of equations.
5x – 7y = 58
y = -x + 2

Answers

5x-7y=58

y=-x+2

5x-7(-x+2)=585x+7x-14=5812x-14=5812x=58+1412x=72x=6

5x-7y=58

5(6)-7y=58

30-7y=58

-7y=58-30

-7y=28

y= -4

Answer:

x = 6, y = -4

Step-by-step explanation:

Khan Academy

Find the distance between points (1, 5) and (3, 0) to the nearest tenth. !!

Answers

Answer:

The answer is

5.39 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1, 5) and (3, 0)

The distance between them is

[tex]d = \sqrt{( {1 - 3})^{2} + ({5 - 0})^{2} } \\ = \sqrt{ ({ - 2})^{2} + {5}^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \\ = 5.38516 \: [/tex]

We have the final answer as

5.39 units to the nearest tenth

Hope this helps you

While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla needs to work ________ hours to earn $52.25.

Answers

she should babysit for 9.5 hours

The best approximation for 10
IS
25
O 3.1
5
O 100

Answers

5 ? it’s the closest number

Answer:

its 3.1

Step-by-step explanation:

i said hey google

Simplify the complex fraction 1/6 / 1 3/8

Answers

Hey there!☺

[tex]Answer:\boxed{\frac{4}{33}}[/tex]

[tex]Explanation:[/tex]

[tex]\frac{1}{6}/1\frac{3}{8}[/tex]

Let's divide both fractions.

[tex]\frac{1}{6}1/\frac{3}{8}=\frac{4}{33}[/tex]

[tex]\frac{4}{33}[/tex] is our final answer.

Hope this helps!

I need help.................

Answers

Answer:

  (1, 5)

Step-by-step explanation:

The midpoint of a line segment has coordinates that are the average of the end-point coordinates.

  M = (X + Y)/2 = ((-3, 4) +(5, 6))/2 = (-3+5, 4+6)/2 = (2, 10)/2

  M = (1, 5)

The midpoint is (1, 5).

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