1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dezoksy [38]
3 years ago
14

Solve for x 2x^2 + 7x -15 = 0

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

x = 3/2, x = -5

Step-by-step explanation:

    2x² + 7x - 15 = 0

You're going to factor first using whichever method you prefer, but it's best to always start with GCF over any other method. In this case, this equation does not have one so we'll go with the Lie method and grouping method.

A quadratic is formulated to look like this:

    ax² + bx + c = 0

So to start factoring, we're going to multiply "a" and "c" to get -30.

Then, we are going to look at factors of -30 that will add up to "b" and in this case, 10 and -3 multiply to get -30 but also add up 7 so we plug those two numbers in.

    2x² + 10x - 3x - 15 = 0

Now, we are going to group them like so:

    (2x² + 10x)(-3x - 15) = 0

Finally, we can begin to break it down and find x.

    2x(x+5) - 3(x+5) = 0

You're doing this right, if the information in the parentheses match.

    (x+5)(2x-3) = 0

Set both (x+5) and (2x-3) to zero and solve.

x = 3/2 and x = -5

You might be interested in
In the rhombus m 1=15x, m 2=x+y, m 3=30z Find The Value of each variable
Sonbull [250]
First one m = .0666666
second one i don't know
third one is .1
4 0
3 years ago
Read 2 more answers
Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe
serg [7]

Answer:

s = 2q + 3

Step-by-step explanation:

A linear function has the form:

● y = mx + b

● y is the output of the function

● x is the variabke that we input

● b is the y-intetcept.

Focus on y and x.

Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.

y is dependent but x is not.

■■■■■■■■■■■■■■■■■■■■■■■■■■

● 6q = 3s - 9

We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.

The strategy we are going to follow is separating s in one side alone.

● 6q = 3s - 9

Add 9 to both sides

● 6q + 9 = 3s -9 + 9

● 6q + 9 = 3s

Divide both sides by 3

● (6q + 9)/3 = (3s)/3

● (6q)/3 + 9/3 = s

● s = 2q + 3

So the answer is s = 2q + 3

6 0
3 years ago
Help me- what number of units and where
gladu [14]
8 units to the left and 5 units up.

Just pick any point on the blue triangle and count how many you move to get to that same point on the red triangle.
4 0
3 years ago
Please help! Will mark brainliest!
vlada-n [284]
I think it’s 96. That’s what I got.
8 0
2 years ago
What is the answer to <br>2x+3=4x+6-(2x+3)
Grace [21]

I am still learning, and am most likely incorrect.

I believe you remove the 3's since their not needed, and do this:

2x = 4x + 6 - (2x)

so then just ignore "x" and do this:

2 = 4 + 6 - 2

2 = 10 - 2

2 = 8


x = 8

7 0
3 years ago
Other questions:
  • 7,000 mg = how many grams
    12·1 answer
  • Does anyone know the answer?
    12·1 answer
  • The table shows Jose's rate of bicycle riding.
    6·2 answers
  • 5 × 1/5 = 1 name the property
    7·1 answer
  • How to convert polar coordinates to rectangular on ti 84?
    12·1 answer
  • What is the area of a circle with a circumference of 4π^2 ?
    7·1 answer
  • The sum of two numbers is eleven. one number is seven less than the other. find the numbers
    10·1 answer
  • Someone tell me where everyone is going right please !!
    14·2 answers
  • Andre went to a sporting goods store that was having a different sale. He bought a baseball glove and 2 packages of socks. The b
    5·2 answers
  • Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!