All categories

3 years ago

Evaluate each expression when a= - 4 and b= 3 ab

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

Answer:

-12

Step-by-step explanation:

<u>Step 1: Substitute</u>

ab -> -4 for a and 3 for b

(-4) * (3)

Answer: -12

You might be interested in

I need help on this may you help

HACTEHA [7]

Answer:

should be 63

Step-by-step explanation:

6 0

2 years ago

A family earns $523 from a yard sale. They pay $45 in advertising fees. What's the family's profit from the yard sale Use formul

xeze [42]

$478 by using the provided formula ...
Explanation : income = $523 , expense = $ 45 , profit =523-45= 478

6 0

3 years ago

How to find the discriminant of

Evgen [1.6K]

the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0

13x^2-16x = x^2 -x

we need to get in it the standard form

subtract x^2 from each side

12x^2 -16x = -x

add x to each side

12x^2 -15x = 0

12x^2 -15x -0 =0

a=12 b=-15 c=0

b^2 -4ac

the discriminant = b^2

b^2 = (-15)2 = 225

6 0

3 years ago

3/10 divided by -3 1/2

Nitella [24]

The answer to this question is -3/35

3 0

3 years ago

Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

3 years ago