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Hunter-Best [27]
3 years ago
15

37= -3 + 5 (x+6) solve for x

Mathematics
2 answers:
Tomtit [17]3 years ago
7 0

Answer:

x = -6

Step-by-step explanation:

1. Pull out like factors: 24+4x=4•(x + 6)

2. Solve: 4=0 (This equation has no solution. A a non-zero constant never equals zero.)

3. Solve: x+6=0 (Subtract 6 from both sides of the equation.)

That's how you will get x = -6

Yanka [14]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

37= -3 + 5 (x+6)

Distribute 5(x+6)

37= -3 + 5x + 30

Combine like terms (30-3)

37= 5x + 27

Subtract 27 to both sides (37-27)

10 = 5x

Divide 5 to both sides (10/5)

x = 2

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What is the best estimate of the lateral area of a cube with edges that are 2.1 inches long?​
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1. Write 12 cookies to 30<br> brownies as a ratio in<br> simplest form.<br> 5:2<br> 12:18<br> 2:5
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Answer:

The correct answer would be 2:5

Step-by-step explanation:

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CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!
lana66690 [7]

The answers to the blanks are

1. 600,

2. 120,

3. 120,

4. 180.

Explanation:

  • The fence means perimeter around the court. So a tennis court's perimeter is 600 feet fence. The perimeter of a rectangle is 2 times the sum of the rectangle's length and the rectangle's width.
  • It is given that length equals 60 more than width i.e. l = w + 60, where l is the length of the court and w is the width of the court.
  • The perimeter of a court = 600 = 2 (l + w) = 2l + 2w = 2 (w +60) + 2w,                                                                                                     this becomes, 2w + 120 + 2w = 600; 4w = 480, w = 120.
  • Since l = w + 60, l = 120 + 60 = 180. So length of a court is 180 feet and the width of a court is 120 feet.

6 0
3 years ago
Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
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