5x^2+ 15x – 140 = 0
Solve for x

x = 4, -7

Step-by-step explanation:

1. Solve the equation using the quadratic formula

The Quadratic formula provides the solution for

in which A, B, and C are numbers (or coefficients), as follows:

2. Determine the quadratic equation’s coefficients A, B, and C

The coefficients of our equation, , are:

A = 5

B = 15

C = -140

3. Plug these coefficients into the quadratic formula

Calculate the expression inside the parentheses.

Simplify exponents and square roots.

Perform any multiplication or division, from left to right.

to get the result:

4. Simplify square root

Simplify 3025 by finding its prime factors.

                    3025

                   /         \

                 /             \

             5                  605

              /                    \

            /                        \

          5                          "121"

           /                            \

         /                                \

        11                                11

The prime factorization of 3025 is 5² • 11²

Write the prime factors.

= √5 • 5 • 11 • 11

Group the prime factors into pairs and rewrite in exponent form.

√5 • 5 • 11 • 11 =

Use rule = x to simplify futher.

= 5 • 11

5 • 11 = 55

5. Solve the equation for x

x =

The ± means two answers are possible:

x = 4

or

x = - 7

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.