Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?​

Answers

Answer 1

Answer:

leading co-efficent is 4


Related Questions

Solve for z in terms of v, w, x, and y.
vy = -ZWx
Z =
I

Answers

Answer:

lots of letters

Step-by-step explanation:

Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph of f(x)=|x|.


g(x)=

Answers

Answer:

[tex]g(x) = |x - 3|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Required

Translate 3 units right

The result of a right translated function is:

[tex]g(x) = f(x - h)[/tex]

Where h is the unit of translation

[tex]h = 3[/tex]

[tex]g(x) = f(x - 3)[/tex]

Solve for f(x - 3)

[tex]f(x) = |x|[/tex]

[tex]f(x - 3) = |x - 3|[/tex]

Hence;

[tex]g(x) = |x - 3|[/tex]

: Consider the distance from the school to the coffee shop and the
distance from the library to the coffee shop. Draw their respective
line segments in the above graph. If the school is relocated in a
way that it is collinear to the coffee shop and the library, and the
distance to the coffee shop is preserved, then the point
representing the school will partition the line segment from the
coffee shop to the library in a x: y ratio. What are the values of x
and y?

Answers

Answer:

x = 7 and y = 1

Step-by-step explanation:

Coordinates of Coffee shop = (12, 16)

Coordinates of Library = (16, 8)

School has been shifted to the new position so that distance of school is preserved from the coffee shop.

Coordinates of the new position of school = (15, 10)

Ratio in which distance between coffee shop and library is divided by the location of school is x : y.

If a segment having extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is divided into two parts by point (x, y) in the ratio of m : n,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

From the points given in the picture,

15 = [tex]\frac{16x+8y}{x+y}[/tex]

15x + 15y = 16x + 8y

15y - 8y = 16x - 15x

7y = x

[tex]\frac{x}{y}=\frac{7}{1}[/tex]

Therefore, x = 7 and y = 1 will be the answer.

How many solutions does this equation have? 3s − 8 = 2s

Answers

3s - 8 = 2s

First, let's subtract 3s from both sides

-8 = -s

Divide both sides by -1

8 = s

You have one solution which is s = 8

There is only a solution for the given equation 3s − 8 = 2s, s=8.

What is the equation?

A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically find answers to these questions.

It is given that the equation is,3s − 8 = 2s.

In order to find the value of s we have to simplify the given equations by applying the arithmetic operations.

3s - 8 = 2s

3s-2s= +8

s=8

Thus, the number of the solution for the given equation will be 1.

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The length of a rectangle is 4 units shorter that half the with .if the length of the rectangle is 18 units,which equation can be used to find w , the width of rectangle

Answers

Hey there! I'm happy to help!

Let's call our length and width L and W respectively.

L=1/2W-4

L=18

Since L is equal to 18, we can just replace the L in the first equation with 18 and solve.

1/2W-4=18.

We add 4 to both sides.

1/2W=22

We divide both sides by 1/2.

W=44

Have a wonderful day! :D

Answer:

The answer is a  18= w/2-4

Step-by-step explanation:

hope this helps!!!!!!!!!!

If f(x) = 3x and g(x) = x^2, then what is f(g(x))?

Answers

Answer:

3x^2

Step-by-step explanation:

f(x) = 3x

g(x) =x^2

f(gx)

substitute in the given information

f(x^2)

since f(x) = 3x

then

f(x^2) = 3x^2

Answer:

3x^2.

Step-by-step explanation:

We replace the x in f(x) by g(x):

f(g(x)) = 3 * x^2

= 3x^2.

find the 10th term f(1) = 30 ; f(n) = 2 * f(n-1) -50

Answers

Answer: :F(x)=x^2+x-6

The 10th term of the given sequence is -10190.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(1)=30; f(n)=2×f(n-1)-50.

Here,

When n=2

f(2)=2×f(2-1)-50

=2×f(1)-50

= 2×30-50

= 10

When n=3

f(3)=2×f(3-1)-50

=2×f(2)-50

= 2×10-50

= -30

When n=4

f(4)=2×f(4-1)-50

=2×f(3)-50

= 2×(-30)-50

= -60-50

= -110

When n=5

f(4)=2×f(5-1)-50

=2×f(4)-50

= 2×(-110)-50

= -220-50

= -270

When n=6

f(4)=2×f(6-1)-50

=2×f(5)-50

= 2×(-270)-50

= -540-50

= -590

When n=7

f(4)=2×f(7-1)-50

=2×f(6)-50

= 2×(-590)-50

= -1180-50

= -1230

When n=8

f(4)=2×f(8-1)-50

=2×f(7)-50

= 2×(-1230)-50

= -2510

When n=9

f(4)=2×f(9-1)-50

=2×f(8)-50

= 2×(-2510)-50

= -5070

When n=10

f(4)=2×f(10-1)-50

=2×f(9)-50

= 2×(-5070)-50

= -10190

Therefore, the 10th term of the given sequence is -10190.

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There are 5.2 x 10^5 words in the English dictionary. What is the average number of words recorded under each of the 26 letters? Give your answer in scientific notation.

Answers

Answer:

2.0*10^4

Step-by-step explanation:

[tex]5.2 *10^5[/tex] words

26 categories

[tex]\frac{5.2 *10^5}{26} =\frac{520 000}{26} =20 000[/tex]

[tex]2.0*10^4[/tex]

so there is an average of 2.0*10^4 words per letter

write an equation in slope-intercept form for the line passing through each pair of points. (-4,-2) and (2,3)​

Answers

Answer:

  y = 5/6x +4/3

Step-by-step explanation:

The 2-point form of the equation for a line is a useful place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (3 -(-2))/(2 -(-4))(x -(-4)) -2

  y = 5/6(x +4) -2

  y = 5/6x +20/6 -12/6

  y = 5/6x +4/3

Twelve increased by four times a number is
negative 8. I need the equation and solution !!

Answers

x = a number

12 + 4x = -8

Subtract 12 from both sides

4x = -20

Divide both sides by 4

x = -5

Where is the mistake? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20

Answers

Answer:

12

Step-by-step explanation:

ds

Answer: There is no mistake

Step-by-step explanation:

How do you do number 15?

Answers

Answer:

11 x 11 = 121

Step-by-step explanation:

11 squared means we must multiply 11 and 11. People often mistaken squared by multiplying a number by two.

Hope this helps!

Please help with this simultaneous equation you can use any method(Only number 6)

Answers

Answer:

Pencil: $0.60 Rubber: $0.48

Step-by-step explanation:

Let the cost of a pencil be p and the cost of a rubber be r.

[tex]p+r=1.08[/tex]  (Equation 1)

[tex]4p=5r[/tex]  (Equation 2)

Divide both sides by 4:

[tex]p=\frac{5}{4} r[/tex]

Substitute this into Equation 1:

[tex]\frac{5}{4} r+r=1.08[/tex]

Multiply both sides by 4:

[tex]\frac{5}{4}r* \:4+r* \:4=1.08*4[/tex]

[tex]5r+4r=4.32[/tex]

[tex]9r=4.32[/tex]

Divide both sides by 9:

[tex]\frac{9r}{9}=\frac{4.32}{9}[/tex]

[tex]r=0.48[/tex]

Since r + p = 1.08,

[tex]p=1.08=0.48=0.60[/tex]

3
-
5

A. 0.6

B. 3.5

C. 1.667

D. 0.65

Answers

Answer:

A 0.6

Step-by-step explanation:

the fraction is 3/5 so if you do the eqation 3 divided by 5 u will get 0.6

Answer:

A

Step-by-step explanation:

3/5 is equal to 6/10. 6/10 is equal to 0.6, It's just in fraction form. If you want to, you can write it as "60/100" to make it easier to look at.

I hope this helps you :)

Which is a valid proportion? 3 over 4 = 21 over 28
5 over 6 = 29 over 30
4 over 7 = 16 over 49
Two-fifths = 12 over 15

Answers

Answer: I think that it is the first one


One of the main reasons why individuals make investments based on their future
financial needs is to do which of the following?

Answers

Answer:

Secure a future for upcoming generation

“Determine the perimeter of the triangle to the nearest whole unit” on #4

Answers

Answer:

P=a+b+c

please mark me as the brainliest answer and please follow me for more answers to your questions.

1. Frank drives from Adams to Harrison which is a distance of 310 miles. He then travels to Perryton which is 40 miles from Harrison. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant rate of speed?

Answers

Answer:

70 mph

Step-by-step explanation:

The total number of miles Frank traveled is 350 miles (Adams>Harrison=310, Harrison>Perryton(10)= 350)

350 divided by 5 is 70.

Therefore he was going 70 mph.

:)Hope that helped!

help me please!!!!!!

Answers

The answer is : (20, -8)

Which rational number could be graphed between –3 and –4? A number line going from negative 5 to positive 3 in increments of 1. Negative StartFraction 8 Over 2 EndFraction –3.75 Negative StartFraction 11 Over 4 EndFraction –2.25

Answers

Answer:

The answer is B!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i did the quiz on E2020

would anyone be able to help me with my algebra 1b class i can pay u on cashapp or sum my sc is okokbrittneyyy

Answers

Answer:

I can help u. don't worry i don't really want to be payed. I'll help u for free if I can. What's ur question.

Step-by-step explanation:

69. 18 + x = 43

How do you do this ? Please help

Answers

43-18=x

Solve for x

X=25

Answer:

x=-26.18

Step-by-step explanation:

69.18+x=43

-69.18    -69.18

x=-26.18


Find another real number that is between the pair of numbers: 8,10

Answers

Answer:

9

Step-by-step explanation:

1, 2, 3, 4, 5, 6, 7, 8, , 10

in the space comes 9!

Which of the following options have the same value as 70% of 80

Choose 3.

Answers

Answer:

56 is the answer so it's A, C and E.

Step-by-step explanation:

The answer will be A, C & E Because 70 out of 100 equals 70%, seven out of 10 equals 70%, in 0.7 equals 70%

Find the inverse of the relation (-3,4), (-1,0), (6,0).

Answers

To find the inverse of a relation, we switch the x and y values in each point.

So the inverse would be {(4, -3), (0, -1), (0, 6).

where's the equation so that I can solve the answer

1. 8 + 7k - 2
what is the answer to this

Answers

Answer:

-0.2+7k

Step-by-step explanation:

Rearrange the equation so that it is 1.8-2+7k

1.8-2=-0.2

You can't add 7k because it doesn't have a common variable

-0.2+7k

-0.2+ 7k


I can get the answer because i learn more about mathematics

Find x

-x = 7x - 56

Answers

Answer:

the answer is 7

Step-by-step explanation:

Add the same term to both sides of the equation

-x=7x-56

−x=7x−56

−x−7x=7x−56−7x

The answer of this equation is 7

Pls halp due today >_<. Thank you

Answers

Answer: 10.95

Keep going your doing great :)

If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same. ◦ Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint. ◦ Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint. Are these two batches the same shade of pink? Explain.

Answers

Answer:

No,

Step-by-step explanation:

be a light pink and one would be a darker shade of pink.because

The given two batches doesn't have the same shade of pink because the proportion of 7 cups of red : 4 cups of white is greater than 5 cups of red : 3 cups of white.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other. In simple words, equivalent fraction are called as proportions.

Now it is given that,

Mai's pink contains- 5 cups of red paint and 3 cups of white paint

So, Ratio of red : white = 5 : 3

⇒ 5/3 = 1.67

Priya;s pink contains- 7 cups of red paint and 4 cups of white paint

So, Ratio of red : white = 7 : 4

⇒ 7/4 = 1.75

Thus, the proportion of 7 : 4 > 5 : 3

Thus, the given two batches doesn't have the same shade of pink because the proportion of 7 cups of red : 4 cups of white is greater than 5 cups of red : 3 cups of white.

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Midpoint of (-8,7) and (-9,11)

Answers

Answer:

(-8.5,9)

Step-by-step explanation:

((-8+(-9))/2=-8.5

(7+11)/2=9

(-8.5,9)

Answer:

(-8.5, 9)

Step-by-step explanation:

use midpoint formula

(-8 + -9) ÷2 , (7 + 11) ÷ 2

-17 ÷ 2 , 18 ÷ 2

-8.5 , 9

so the coordinates of the midpoint are (-8.5, 9)

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