Determine the area of the shaded region (grey) in the quadratic form.
Hint: Shaded area = (gray rectangle area) – (white rectangle area)

Determine The Area Of The Shaded Region (grey) In The Quadratic Form.Hint: Shaded Area = (gray Rectangle

Answers

Answer 1

Answer:

The area of shaded region is: [tex]13x^2+6x-15[/tex]

Step-by-step explanation:

We can see in the diagram that

[tex]Length\ of\ gray\ rectangle = l_g = 3x+5\\Width\ of\ gray\ rectangle = w_g = 4x-3[/tex]

The area of rectangle is given by:

Area = Length * width

Now for gray rectangle

[tex]A_g = l_g * w_g\\= (3x+5)(4x-3)\\= 3x(4x-3)+5(4x-3)\\= 12x^2-9x+20x-15\\=12x^2+11x-15[/tex]

For White Rectangle:

[tex]Length = l = 5-x\\Width = w = x\\A_w = l * w\\A_w = (5-x)(x)\\= 5x-x^2[/tex]

Now,

The area of shaded region will be calculated by subtracting the area of white triangle from the gray triangle.

[tex]A_s = A_g - A_w\\= (12x^2+11x-15) - (5x-x^2)\\=12x^2+11x-15-5x+x^2\\=12x^2+x^2+11x-5x-15\\=13x^2+6x-15[/tex]

Hence,

The area of shaded region is: [tex]13x^2+6x-15[/tex]


Related Questions

750% as a decimal mixed number or fraction

Answers

Answer:

750% as a decimal is 7.5

It’s 7.5 as a decimal 7 1/2 as a mixed number

find the slope
y = -1+ 3x?

Answers

Answer:

the slope is 3

Step-by-step explanation:

Answer:

-1 because the slope is the m.

Step-by-step explanation:

y=mx+b

Will give branliest answer:)


What is the opposite of each number?

Drag the answer into the box to Match each number.

Answers

Answer:

0.24 → -0.24

1/4 → -1/4

0 → 0

-5 → 5

240 → -240

Step-by-step explanation:

Hope this helped! :)

A shape is shown on the centimetre grid below.
+
Work out the area of the shape
after it has been enlarged by
scale factor 2
State the units of your answer.

Answers

8 units I think I am not sure

The area of the figure after dilation would be 20 square units.

What is scale factor? How it is used in Dilating coordinates?

Scale factor is used to compare 2 quantities, indicating by how much one quantity is greater than the other. It is denoted by K. Mathematically-

K = a/b.

If a coordinate point (x, y) is dilated by a scale factor of [k], then the coordinate point after dilation will be - (kx, ky).

Given is the 2 - D figure as shown.

Assume the length of each side as 1 units. Then after the dilation by K = 2, each side would be of 2 units. Then, the area of the figure would be -

A = 5(2 x 2) = 5 x 4 = 20 square units

Therefore, the area of the figure after dilation would be 20 square units

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ2

i really need some help with these two questions

Answers

Answer:

See below.

Step-by-step explanation:

2.  2.5 pounds of coffee will cost 2.5 * 2 = $5

3.  Lee earns $49.40 for 6.5 hours.  49.40 / 6.5 = $7.60/hour.  For 25 hours, she earns 25 * 7.60 = $190.

please help me, as soon as possible!!

Answers

1. irrational
2. irrational
3. rational
4. rational
5. rational

two friends are trying to get the best deal on a streaming service for movies.john choose to sign up with soupstream streaming service,which requires a one-time signup fee of $20 and charge 50 cents per movie watched.his friend matt chooers modata streaming service, because it has no signup free.however, the modata service charges $3 per movie

Answers

Answer:

Pls complete the question

Step-by-step explanation:

Answer: how can I find the answer

Step-by-step explanation:

Anthony and Michelle have £65.25 between them. Anthony's amount is two thirds of Michelle's amount. How much money does each have?

Answers

Answer:

43.50

Step-by-step explanation:

MULTIPLE THE 2 NUMBERS

a. The amount of money that Anthony has is £26.1.

b. The amount of money that Michelle has is £39.15.

Let Anthony's amount be A.Let Michelle's amount be M.

Given the following data:

Total amount = £65.25

To find the amount of money each of them have:

In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

Anthony's amount is two thirds of Michelle's amount:

[tex]A = \frac{2M}{3}[/tex]   ....equation 1

Anthony and Michelle have £65.25 between them:

[tex]A+M=65.25[/tex]   ...equation 2

Substituting eqn 2 into eqn 1, we have:

[tex]\frac{2M}{3} +M=65.25\\\\2M +3M =195.75\\\\5M = 195.75\\\\M= \frac{195.75}{5}[/tex]

M = £39.15

To find the value of A:

[tex]A = \frac{2M}{3}\\\\A = \frac{2\times39.15}{3}\\\\A = \frac{78.3}{3}[/tex]

A = £26.1

Read more: https://brainly.com/question/22970937

Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Franco uses 114 cups of powdered mix for every 5 gallons of water.

Answers

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

What is 1.224 divided by 1.02

Answers

Answer:

1.2 is the answer!!!!!!

Answer:

1.2

Step-by-step explanation:

You can easily divide

Plz mark me for brainliest

A sample of 18 randomly selected women is obtainedand the blood platelet count of each subject is measured. The mean is 253.9 and the standard deviation is 63.6. What is the margin of error (round to the nearest tenth)?

Answers

Answer:

Margin of error = E = 40

Step-by-step explanation:

Assuming 99% confidence level

Given that x = 253.9  

s.d = 63.6

n = 18

Degrees of freedom = df = n - 1 = 18 - 1 = 17

At 99% confidence level the t is, α = 1 - 99% = 1 - 0.99 = 0.01

α/2 = 0.01 / 2 = 0.005

t α/2,df = t,0.005 = = 2.680 (using student t table)

Margin of error = E = t α/2,df * (s.d/√n)

Margin of error = 2.680*63.6/√18

Margin of error = 2.680*63.6/4.242641

Margin of error = 2.680*14.99066265564303

Margin of error = 40.17

Margin of error = E = 40

Which factor is missing from the equation?

33+ 63 =

(11+9 )

Answers

Answer:

96

Step-by-step explanation:

33 plus 63 equals 96

Have a nice day

Jose earns $3680 per month of which 22% is taken out his paycheck for federal and state income taxes and other required deductions. Last month he spent $775 for rent and $86.12 for clothing. What percent of his take-home pay did he spend on rent and clothing combined.

Answers

Answer: Jose earns $169.89

Step-by-step explanation:I’m still trying to learn the step by step

Frank bought 3 pencils for $0.79 each, 2 notebooks for $3.29 each, and a comic book for $1.29. How much change will he receive from $20?

Group of answer choices

Answers

Answer:

$9.76

Step-by-step explanation:

3 x.79=2.37

2 x 3.29= 6.58

1.29 + 6.58 + 2.37 = 9.76

please help SAP!!!

i will give brainliest!! :)

Answers

Answer:

M and N are similar but not congruent

Step-by-step explanation:

M and N look the same but aren´t the same width or height so there similar but not congruent.

15. Algebraically solve the inequality
6x+17> 5(2x+1)
+
Graph your solution on the number line below
-10
-3
0
10

Answers

Answer:

-3

Step-by-step explanation:

Solve for k.

4(k + 18) = 92

k =

Answers

Answer:

k=5

Step-by-step explanation:

distribute 4 into the parenthesis

4k+72=92

subtract 72 from both sides

4k=20

divide both sides by 4

k=5

Determine the pattern rule for the table and write it as an equation.​

Answers

Answer:

The rule is: y = -10x+85

Step-by-step explanation:

The rule is given by:

[tex]y = mx+b[/tex]

Here m is the gradient and b is the y-intercept.

We have to take two pairs of input-output to find the rule

Let the two pairs be:

(x1,y1) = (1,75)

(x2,y2) = (2,65)

Slope is found using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{65-75}{2-1}\\m = -10[/tex]

Putting the value of slope

[tex]y = -10x+b[/tex]

Putting a pair of input-output in the equation (1,75)

[tex]75 = -10(1) +b\\75 = -10+b\\b = 75+10\\b = 85[/tex]

Putting the value of b

[tex]y = -10x+85[/tex]

Hence,

The rule is: y = -10x+85

5. What three consecutive integers have a sum of 21?

Answers

The answer is 6,7,8.

Wanda's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 75 espressos in all, 51 of which were single-shot. What percentage of the espressos were single-shot?

Answers

Answer:

68%

Step-by-step explanation:

51/75 × 100% = 68%

HELPPPP MEEEEE PLEASEEEEEEE

Answers

y=4-7x
because it equals = -7
and
y= -5/4x + 2
because it equals = -5/4

Which type of worker tends to earn the highest pay in comparison to the others?

Answers

Answer:

A hired on worker? Or a determined worker?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It just is

The elevation at sea level is 0 feet. Which of these cities have an elevation that is more than 75 feet away from sea level ?

Answers

You need a picture to answer

Find the slope of a line parallel to each given line.
17) y = 4x - 5
18) y = 2x + 3
19) 4x - 3y = -15
20) 5x+2y=6

Answers

Answer:

17) the parallel slope is 4x.

18) the parallel slope is 2x.

19)the parallel slope is -4/-3x.

    because 4x-3y=-15

                    -4x      -4x

                     - 3y=-4x-15

                     -3      -3    -3

                        y=-4/-3-5

20)the parallel slope is -5/2x

5x+2y=6

     -5x   -5x

    2y=-5x+6

    2      2    2

y=-5/2x + 3

Step-by-step explanation:

don´t forget to brainllest!:)

This is a special cube, which has numbers from 1 to 6 marked on its six faces. (Each number is marked on exactly one face.) Also, the sum of each pair of opposite faces is the same

Answers

Answer:

This is a die used to play games. Well we generally use more than one, so we use dice. The addition of each pair of opposite sides always yields 7:

1 + 6 = 72 + 5 = 73 + 4 = 7

Dice games are very popular and they can also help understand how math and probability work. As with all games, probability always favors the house, but the risk of loss is part of the entertainment.

Is this question complete, or is it missing some requirements?

maggie spent half of the money in her savings account on a new computer if the computer was $345 how much was in her savings account

Answers

690 is the answer (i think)

Answer:

172.5

Step-by-step explanation:

its 172.5 because 345÷2 equals 172.5 therefore she had 172.5 dollars in her savings

How does the value of m affect the graph of the
equation?

Answers

The value of m determines the slope of the line and shows whether the line with be negative, positive, undefined, etc..

Someone please help me!!!

Answers

Answer:

F

Step-by-step explanation:

2=9X7=1

What is the slope for 1.(4,9) & (1,6)

2.(5,3) & (5,-9) 3.(2,1) & (8,9)

4.(14,-8) & (7,-6). 5.(4,-3) & (8,3)

Answers

Step-by-step explanation:

1.(4,9) & (1,6)

m=y²-y¹/x²-x¹

m=6-9/1-4

m=-3/-3

m= 1

2.(5,3) & (5,-9)

m=y²-y¹/x²-x¹

m=(-9)-3/5-5

m=-12/0

3.(2,1) & (8,9)

m=y²-y¹/x²-x¹

m=9-1/8-2

m=8/6

m= 4/3

4.(14,-8) & (7,-6)

m=y²-y¹/x²-x¹

m=(-6)-(-8)/7-14

m=2/-7

m= -2/7

5.(4,-3) & (8,-3)

m=y²-y¹/x²-x¹

m=(-3)-(-3)/8-4

m=0/4

m=0

6.(-11,1) & (-2,6)

m=y²-y¹/x²-x¹

m=6-1/(-2)-(-11)

m=5/9

Which inequality models this situation?

Answers

Answer:

last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

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