What two numbers can be multiplied to be -150 and added to be 5

Answers

Answer 1
Answer: xy = -150
x + y = 5

     x + y = 5
x - x + y = -x + 5
           y = -x + 5

                                                       xy = -150
                                             x(-x + 5) = -150
                                         x(-x) + x(5) = -150
                                               -x² + 5x = -150
                                     -x² + 5x + 150 = 0
                       -1(x²) - 1(-5x) - 1(-150) = 0
                                  -1(x² - 5x - 150) = 0
                                               -1            -1
                                        x² - 5x - 150 = 0
                                        x = -(-5) ± √((-5)² - 4(1)(-150))
                                                                2(1)
                                        x = 5 ± √(25 + 600)
                                                         2
                                        x = 5 ± √(625)
                                                     2
                                        x = 5 ± 25
                                                 2
                                        x = 2.5 ± 12.5
                                        x = 2.5 + 12.5    or    x = 2.5 - 12.5
                                        x = 15          or          x = -10

    x + y = 5
  15 + y = 5
- 15      - 15
          y = -10
    (x, y) = (15, -10)

            or

    x + y = 5
 -10 + y = 5
+ 10    + 10
           y = 15
    (x, y) = (-10, 15)

The two numbers that add up to 5 and multiply to -150 are 15 and -10.

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Answers

Answer:

- 3x - 5

it should be this answer bcause it has been simplified

Solve the quadratic equation y^2-5y=-4 by factoring.

Answers

y^2-5y=-4\ny^2-5y+4=0\ny^2-y-4y+4=0\ny(y-1)+4(y-1)=0\n(y+4)(y-1)=0\ny=-4 \vee y=1

Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance in feet. Graph X / 0 / 20 / 40 / 80 / 160 F(x)/ 8 / 6 / 4 / 0 / 8 If the drain is at the minimum point, how far is it from the wall defined by the y-axis? 0 feet 8 feet 80 feet 160 feet

Answers

Answer:

80ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

taylor is moving and must rent a truck. there is an initial charge of $45 for the rental plus an additional fee per mile driven. of taylor were to drive 5 miles, the total cost would be $60 write an equation for c, in terms of m, representing the total cost of renting the truck if taylor were to drive m miles

Answers

An equation for c, in terms of m is given by: c = 3m + 45.

What is equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 = 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

Given that:

Initial charge of  rent = $45

Let, the additional fee per mile driven is $x.

Taylor were to drive 5 miles, the total cost would be $60.

Hence,

60 = 45 + 5x

5x = 60 -45

5x = 15

x = 15/5

x = 3.

the additional fee per mile driven is $3.

Now, if c = total rent and m is how many miles to drive, the equation joining them be:

c = 3m + 45

This is the equation for c, in terms of m.

Learn more about equation here:

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The equation for the total cost (C) in terms of the number of miles driven (m) is C = $45 + $3m.

How to write an equation representing a situation?

Taylor is charged an initial fee of $45 and an additional fee per mile driven. Let's denote the additional fee per mile as 'x' (in dollars per mile).

So, the equation for the total cost C can be written as:

C = $45 (initial charge) + x (fee per mile) * m (number of miles driven)

Given that when Taylor drives 5 miles, the total cost is $60, you can substitute these values into the equation:

$60 = $45 + x * 5

Now, you can solve for x:

x * 5 = $60 - $45

x * 5 = $15

x = $15 / 5

x = $3 per mile

Now that you know the additional fee per mile is $3, you can write the equation for the total cost C in terms of m:

C = $45 + $3m

Learn more about equation on:

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Greg was adding numbers on a number line. He started on –5 and then he added –8. Greg wrote that the answer was +13. Is Greg's answer reasonable?

A.
No, it is not reasonable because –5 + –8 = –13.

B.
Yes, it is reasonable because –5 + –8 = +13.

C.
No, it is not reasonable because if you add two numbers you will get a number that is greater than either of the two numbers.

Answers

The answer is A. because this would count as subtraction anyways.

What is 4÷ 3/5?

6
6 2/5
6 2/3
8
which is the correct answer​

Answers

Answer:

6 2/3

Step-by-step explanation:

just multiply 4 by 3/5