The sum of 3 consecutive integers is -27. what are the numbers?

Answers

Answer 1

Answer: Call x the smallest of the three numbers, then:

x + (x+1) +(x+2) = -27

x + x + 1 + x + 2 = -27

3x+3 =-27
3x = -27 -3
3x = -30
x = -30/3 = -10

The three numbers are: -10, -9 and -8.

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Factor completely x2 + 16.(x + 4)(x + 4)

(x + 4)(x − 4)

Prime

(x − 4)(x − 4)

Answers

Answer:

The factors of x^2 + 16 are (x - 4i) and (x + 4i).

Step-by-step explanation:

That'd be x^2 + 16, not x2 + 16.

First, an easier example: x^2 - 16 factors into (x - 4)(x + 4).

Note how (-4)(4) = -16.

The corresponding factors of x^2 + 16 are (x - 4i) and (x + 4i).

We can check this result through multiplication: (x - 4i)(x + 4i) = x^2 - 4ix + 4ix - 16(-1), or x^2 + 16.

Answer:

Option C: Prime

Step-by-step explanation:

Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown: -1|-2 -5 4 2 3 ___________ -2-3 7 What is the value of f(-1)? 7 -2 -1 1I think it's 7 but not sure about my answer

Answers

yes it is 7 for sure

Answer:

The correct option is A. The value of f(-1) is 7.

Step-by-step explanation:

It is given that Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown in the attached figure.

According to the remainder theorem, If a function f(x) is divided by (x-c), then

$f(c)=remainder$

From the given division it is clear that if the polynomial f(x)is divide by x + 1, then the remainder is 7.

Using remainder theorem, we get

$f(-1)=7$

The value of f(-1)=7, therefore the correct option is A.

Which is an expression to find the speed in m/s? d = 100 m, t = 20 s

A. 100 - 20

B. 100 + 20

C. 100/20

D. 100 x 20

Answers

C. 100/20
This is because the formula to finding speed is distance divided by time.

Answer:

100/20

Step-by-step explanation:

URGENT!!!!!Find the distance on the coordinate system from the point (-3, 4) to the point (8, -7).

Answers

remember the pythagorean theorem?
this is like that
the distance is the hypotnuse

D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$

D= $\sqrt{(8-(-3))^(2)+(-7-4)^(2)}$
D= $\sqrt{(11)^(2)+(-11)^(2)}$
D= $√(169+169)$
D= $√(338)$
D= $11√(2)$
aprox 15.55 units

Three times a number increases by 15 is equal to 30

Answers

Answer: The number is 5.

Step-by-step explanation:

First, let d be our number.

Since we know that d is our number, we rewrite the expression this way:

3 times d incresed by 15 is 30.

3 times d is 3d; 3d increased by 15 => 3d + 15. This equals 30:

3d + 15 = 30

To solve for d, subtract 15 from both sides:

3d = 15

Next, divide both sides by 3:

d = 5

Using the equation 3x+15=30 x being the number we are trying to find out we replace x with 5 as 3*5 is 15+15 = 30

The function h(x) = 31x2 + 77x + 41 can also be written as which of the following?A. y = 31x2 + 77x + 41

B. h(x) + 41 = 31x2 + 77x

C. y = 31x2 + 77x − 41

D. y + 41 = 31x2 + 77x

Answers

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

Learn more about Mathematical functions here:

brainly.com/question/32108131

#SPJ11

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