All categories

3 years ago

Write the equation in standard form. Then factor the left side of the equation. 2x^2 + 7x = 15

Mathematics

1 answer:

Anettt [7]3 years ago

7 0

Answer:

2x^2 + 7x - 15 = 0

Factors: (2x - 3)(x + 5)

Step-by-step explanation:

To write the equation in standard form rearrange to this form ax^2 + bx + c = 0. Rearrange the equation 2x^2 + 7x = 15 by subtracting 15 from both sides.

2x^2 + 7x - 15 = 0

The left side factors into (2x - 3)(x + 5) since it multiplies to 2x^2 - 3x + 10x - 15 = 2x^2 + 7x - 15.

You might be interested in

If (x + y)^2 = 105 and x^2 + y^2 = 65, what is the value of xy?

lesya692 [45]

$\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}$

$(x + y) ^2 = 105$

$x^2 + 2xy + y^2 = 105$

$x^2 + y^2 + 2xy = 105$

$\text{Given that } x^2 + y^2 = 65,$

$65 + 2xy = 105$

$2xy = 105 - 65$

$2xy = 40$

$xy = 20$

$\boxed { \boxed {\text{Answer: xy = 20}}}$

8 0

4 years ago

Find the area of the circle. Round your answer to the nearest hundredth.

Lena [83]

Answer:

176.71^2 in

Step-by-step explanation:

yeh

8 0

3 years ago

Solve using substitution x=(3y+1) and x+4y=15

natka813 [3]

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

$x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2$

Putting x = 3y+1 in equation 2 from equation 1

$3y+1+4y = 15\\7y+1 = 15\\$

Subtracting 1 from both sides

$7y+1-1 = 15-1\\7y = 14$

Dividing both sides by 7

$\frac{7y}{7} =\frac{14}{7}\\y = 2$

Putting y=2 in equation 1

$x = 3(2) +1\\x = 6+1\\x = 7$

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

a farmer has a rectangular field that measures 125 feet by 200 feet. He wants to enclose the field with a fence. What is the tot

grandymaker [24]

He needs to fence the entire perimeter, so all you have to do is find the perimeter. P= S+S+S+S, which is 125, 200, 125, and 200. Add them together and you get 650, so he needs 650 feet of fence.

4 0

3 years ago

Question 3 find the x -intercept(s) and the coordinates of the vertex for the parabola

Olegator [25]

is there a picture? if there is I cant see it

3 0

3 years ago