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3 years ago

What numbers multiply to -30 and add to -3

1 answer:

3 0

Let the numbers be x and y. Then xy = -30 and x+y = -3.

Solve xy = -30 for y: y = -30/x

subst. -30/x for y in x+y= -3: x - 30/x = -3

Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0

Solve this quadratic equation for x. x: {-5, 2}

If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.

You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?

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Simplify this expression. 20.25 – 9 + 11 о 1 4 0 18.75 0 21? 0 40.75

Greeley [361]

Answer:

$21\frac{3}{4}$

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as $20\frac{1}{4}$ , because $\frac{2025}{100}$ = $\frac{81}{4}$ = $20\frac{1}{4}$ . So if we add $20\frac{1}{4}$ and 11, we would get $31\frac{1}{4}$

Step 2: Solve

$31\frac{1}{4} -9\frac{1}{2}$

Subtract the whole numbers

$31-9=21$

Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

$\frac{5}{4}-\frac{1}{2}$

LCM

$\frac{5}{4}-\frac{2}{4} =\frac{3}{4}$

Therefore, the simplified expression to this is $21\frac{3}{4}$ .

Learn more: brainly.com/question/403991

8 0

3 years ago

Write an equation that would be perpendicular to the following equation- y= -1/5 x + 8

brilliants [131]

Answer:

y=5x+8

Step-by-step explanation:

If its perpendicular it will have opposite slope but the same y intercept

8 0

3 years ago

Tickets to a play cost $11 for each adult and $4 for each child. If 360 tickets were sold for a total of 2826, how many tickets

Vesna [10]

Well take 11 decided by 4 then take tat decided by 360

7 0

3 years ago

(1 + 9.8k)(2.8) simplified

o-na [289]

Answer:

2.8 + 27.44k

Step-by-step explanation:

Algebraic Simplification

The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.

We are given the expression:

(1 + 9.8k)(2.8)

It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:

(2.8)1 + (2.8)9.8k

Operating:

2.8 + 27.44k

5 0

2 years ago

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.