Write a decimal and a fraction for the shaded part of the diagram.

A. 0.60; 160/100

B. 0.63; 163/100

C. 1.60; 160/100

D. 1.63; 1 63/100

Answer:

p(x) = x² - 2x -8

Step-by-step explanation:

We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,

[tex]\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta] [/tex]

Where k is constant . Substitute respective values ,

=> p(x) = k [ x² - ( a + ß )x + aß ]

=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]

=> p(x) = k [ x² -2x - 8 ]

If k = 1 ,

=> p(x) = x² - 2x - 8

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

Answer:

27 years approx

Step-by-step explanation:

Given data

Principal P= $ 3,000

Final amount A= $ 7000

Rate r= 5%

The simple interest expression is

A=P(1+rt)

substitute and solve for t

7000=3000(1+0.05t)

7000=3000+150r

7000-3000=150r

4000=150t

t= 4000/150

t= 26.66

Hence, the time is 27 years approx

Step-by-step explanation:

x^2+6x+5=0

x^2+5x+1x+5=0

x(x+5)+1(x+5)

(x+5)(x+1)

x+5=0 x+1=0

x=-5 x=-1

Answer: B

Step-by-step explanation:

Answer:

x is greater than or equal to 4

Step-by-step explanation:

divide both sides by two, treating it as an equation

so x is greater than or equal to 4

Answer:

x = 3

1. Subtract 5 from both sides of the equation.

6 + 5 = 3 + 1 4 6 + 5 − 5 = 3 + 1 4 − 5

2. Simplify

Subtract the numbers 6 = 3 + 9

3. Subtract 3x from both sides of the equation.

6 = 3 + 9 6 − 3 = 3 + 9 − 3

4. Simplify.

Combine like terms - 3x = 9

5. Divide both sides of the equation by the same term

3 = 9 3 3 = 9 3

6. Simplify

Cancel terms that are in both the numerator and denominator Divide the numbers = 3

Answer:

Step-by-step explanation:

-x² + 8x + 20 = b

-x² + 8x + 20 - b = 0

a = -1 ; b = 8 ; c = 20 - b

 There is no real roots.

So, b² - 4ac < 0

Plug in a, b and c values

8²- 4(-1)(20-b) < 0

When we multiply (-1) and (-4), we will get 4

64 + 4(20 - b) < 0

64 + 4*20 - 4b < 0

64 + 80 - 4b < 0

144  - 4b    < 0

Subtract 144 from both sides

-4b < -144

Divide both side by -4 and when we are dividing by (-4), < will change to >

b > -144/-4

b > 36

So, when value of b is greater than 36, the equation will have no real roots.

Answer:

The answer should be B

Answer:

you need to add them toether since there is only one .

Step-by-step explanation:

1=y-x

Answer:

Not sure what you're asking but 120.4 is

one hundred

two tens

and four tenths

Answer:

108 cm^2

Step-by-step explanation:

This solid is a triangular prism.

The total surface area is made up of the area of 5 faces.

The front and rear faces are called the bases and are two congruent triangles.

The other three faces are three rectangles and form the lateral area.

SA = area of bases + lateral area

The area of the bases is 2 times the area of a triangle.

The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.

SA = 2 * bh/2 + PH

where

b = base of triangular base,

h = height if triangular base,

P = perimeter of the base, and

H = height of the prism

SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)

SA = 12 cm^2 + 96 cm^2

SA = 108 cm^2

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

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hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power

Step-by-step explanation:

15+(3×7)/3

simplify by 3

15+7

22

Answer:

C

Step-by-step explanation:

The general rule is that any two leg lengths must exceed the third.

A) won't. 1 + 1 = 2. The 2 ones lay flat across the 2.

B) 2 + 1 = 3. Won't work for the same reason as A

C) works fine. Any 2 will exceed the third.

D) can't happen. 7 + 7 < 15.

Answer:

Please show more information!

Step-by-step explanation:

Answer:

Lookin good soldier. Troops are ripping through their pathetic defenses. They're already runnin for the hills.

Answer:

C. (y-2)^2/9 - x^2/25 = 1

Step-by-step explanation:

Edge 2021

Answer:

159

Step-by-step explanation:

158.877856673=P

round:

P=159

Answer:

159  

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

The answer is 45

Step-by-step explanation:

First, you find what is half of 30 by dividing 30 by 2

30/2 = 15

Then you add 15 to 30 since you have to increase it by 1/2

30 + 15 = 45

I hope this helped and have a great day!

Answer:

35+28=31

Step-by-step explanation:

Answer:

X = 2.4

MN = 7

JL = 7.4

Step-by-step explanation:

Answer:

3.64 ÷ 7 = 364 hundredths ÷ 7

3.64 ÷ 7 = 52 hundredths

3.64 ÷ 7 = 0.52

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is that there was once a demon king called Hiranyakashyap, who believed that he was more powerful than the all the gods and he wanted everyone like all the people to worship him but his son, Prahlad, did not worship his father.

hope this helps,have a great day!!

~Pinky~

Answer:

The answer is 8 - 4i

you collect the like terms

Answer:

53

Step-by-step explanation:

Answer:

answer is 22 1/2 or in decimal form it would be 22.5

Step-by-step explanation:

Answer:

2.4375 acres for cabbage

Step-by-step explanation:

Answer:

822

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