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2 years ago

What is the value of x in the equation 8x – 2y = 48, when y = 4?

Mathematics

1 answer:

luda_lava [24]2 years ago

8 0

Answer:

Step-by-step explanation:

8x-2y=48, replace y with 4, 8x-2(4)=48, multiply, 8x-8=48, add 8 to both sides to remove the -8, 8x=56 and finally divide by 8 to remove 8 from x, x=7.

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What is the completely factored form of p4 - 16?

il63 [147K]

The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Step-by-step explanation:

We have to factorize the given expression to get the final result

Given

$p^4-16\\Using\ Formula: a^2-b^2=(a+b)(a-b)\\(p^2)^2-(4)^2\\=(p^2+4)(p^2-4)$

p^2-4 can further be factored again

$=(p^2+4)[(p)^2-(2)^2]\\=(p^2+4)(p+2)(p-2)$

The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Keywords: Factorization

Learn more about factorization at:

#LearnwithBrainly

8 0

2 years ago

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Lerok [7]

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

8 0

2 years ago

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of

ratelena [41]

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

$A=b^2$

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

$A=x^{2}\ in^2$

The length of the smaller square is

$b=(x-3)\ in$

The area of the smaller square is

$A=(x-3)^2\ in^2$

The area of the smaller square is 1/4 the area of the original square

$(x-3)^2=\frac{1}{4} x^{2}$

solve for x

$x^2-6x+9=\frac{1}{4} x^{2}$

Multiply by 4 both sides

$4x^2-24x+36=x^{2}$

$4x^2-x^2-24x+36=0\\3x^2-24x+36=0$

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

3 0

2 years ago

Which image (A'B'C'D') of ABCD cannot be produced using only reflections? A. B. C. D.

liberstina [14]

Answer:

the answer is D

Step-by-step explanation:

3 0

2 years ago

Binks needs to raise at least $3600. He was given $200 and plans to save $50 a week. Select all of the inequalities that represe

kherson [118]

Answer:

I'm pretty sure it is 50n+200 <u><</u> 3600

Step-by-step explanation:

Im to fully sure tho

5 0

1 year ago