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vesna_86 [32]
3 years ago
15

There are 16 cups in gallon. The equation g = 16c gives the number of gallons in terms of the number of cups. Write another equa

tion for this situation, giving the numbers of cups in terms of the number of gallon:
C=
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

c=24

g=16(24)

Sorry if I got it wrong!!

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The product of two integers is 96. One of them is-12, find the other numbers​
miss Akunina [59]

Answer:

-8

Step-by-step explanation:

let the other number be x

according to the question equation is

-12x = 96

x = 96/-12

x = -8

4 0
2 years ago
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What is the measure of an angle that turns through 3/4 of a complete circle
ANEK [815]
270 degrees this because when you count each angle it is 90 degrees then 180 degrees then 270 
4 0
3 years ago
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X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this?
e-lub [12.9K]

Answer:

The simplified expression is given as

8x^2y^4(17x^2-2)

Step-by-step explanation:

step one:

Given the expression

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)

step two:

First, let us open the bracket we have

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\

step three:

collect like terms we have

x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\

step four:

we can now factor out 8x^2y^4we have

8x^2y^4(17x^2-2)

4 0
3 years ago
Find all real zeros of f(x) = 2x^2 +5x-18 algebraically.
den301095 [7]
2x2-5x-18=0

Two solutions were found :

x = -2
x = 9/2 = 4.500
Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2x2 - 5x) - 18 = 0
Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2-5x-18

The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18

Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .

-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization

Equation at the end of step 2 :

(2x - 9) • (x + 2) = 0
Step 3 :

Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.
4 0
2 years ago
Read 2 more answers
Which of the following is a a solution to the equation y=3x-1
Burka [1]
For option a, y = 3(4) - 1 = 12 - 1 = 11                  [not correct]
For option b, y = 3(2) - 1 = 6 - 1 = 5                      [correct]

Therefore option b is a solution to the given equation.
6 0
3 years ago
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