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3 years ago

Factor and Solve. Show work.

Mathematics

1 answer:

Naddik [55]3 years ago

4 0

Step-by-step explanation:

1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.

2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

3x + 7 = 0, 2x - 1 = 0

x = -7/3, x=1/2

Hope this helps!

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Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5

Nataly [62]

Answer:

A. 2x + 15

Step-by-step explanation:

3(2x + 5) - 4x =

= 6x + 15 - 4x

= 2x + 15

Answer: A. 2x + 15

5 0

3 years ago

Read 2 more answers

A car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallons g. How many

Irina-Kira [14]

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2 years ago

The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

2 years ago

Write each equation in standard form using integers? y = 3x + 1 y = 4x - 7

Maru [420]

Answer:

The standard form of y = 3 x + 1 is -3x + y = 1 .

The standard form of y = 4x - 7 is -4x + y = -7.

Step-by-step explanation:

Here the given equation are:

y = 3 x + 1

and y = 4x - 7

The above equations are of the form: y = m x + C

Now, the STANDARD FORM of the equation is Ax + By = C

Consider equation 1:

y = 3 x + 1

or, y - 3x = 1

or. -3x + y = 1

⇒ The equation -3x + y = 1 is in STANDARD FORM.

Consider equation 2:

y = 4 x - 7

or, y - 4x = -7

or. -4x + y = -7

⇒ The equation -4x + y = -7 is in STANDARD FORM.

3 0

2 years ago

What's the value of x?

8090 [49]

I got 110 but it might be wrong let me check.

5 0

2 years ago