What is a difference of squares that has a factor of x + 8?Complete the expression:

x2 – _____

Answers

Answer 1
Answer:

Answer:

The missing value of 64 or 8². The complete expression is x²- 64 or x²- 8².

Step-by-step explanation:

It is given that the difference of squares has a factor of x + 8.

The given expression is

x²- _____

Let the missing term in the given expression be a².

Using the algebraic formula, we get

x^2-a^2=(x-a)(x+a)

It is given that one factor of the given expression is (x+8).

x+a=x+8

a=8

It means the value of a is 8 and the missing value of 64 or 8².

Therefore the complete expression is x²- 64 or x²- 8².

Answer 2
Answer: x2-64

Explanation:
The factors of x2-64 are x+8 and x-8. When the factors are multiplied together, they give:
(x+8)(x-8)= x2-8x+8x-64.
-8x+8x gives a zero. This leaves x2-64 which is a difference of two squares.

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An alloy weighing 40 lbs. is 10% tin. The alloy was made by mixing a 15% tin alloy and a 8% tin alloy. How many pounds of each alloy (to the nearest tenth) were used to make the 10% alloy?lbs. of the 15% alloy and lbs. of the 8% alloy.

Answers

Let the weight of 15% tin be  x.

So the weight of the 8% tin will be:  (40 - x), since the total weight is 40 lbs


Using the mixture formula:

w1*p1 + w2*p2 = w*p

Where w1 = weight of the first percentage, p1 = First Percentage

w2 = weight of the second percentage, p2 = Second Percentage

w = Final weight, p1 = Final Percentage

0.15*x + 0.08(40 - x) = 40*0.1

0.15x + 3.2 - 0.08x = 4

0.15x - 0.08x = 4 - 3.2

0.07x = 0.8

x = 0.8/0.07

x ≈ 11.429

Recall the 15% was made with x, which is ≈   11.429

Recall the 8% was made with (40-x) ≈  (40 - 11.429) ≈ 28.571

So the 10% tin of the 40 lbs was made with ≈11.4 lbs of the 15% tin and  ≈28.6 lbs of the 8% tin
x=15% alloy
y=8% alloy
x+y=40
y=40-x
0.15x+0.08y=40*0.10
0.15x+0.08(40-x)=40*0.1
times 100 both sides for easy
15x+8(40-x)=400
15x+320-8x=400
7x+320=400
minus 320 from both sides
7x=80
divide both sides by 7
x=80/7
x+y=40
80/7+y=280/7
y=200/7
aprox
x=11.4lb
y=28.6lb


11.4lb of 15%
28.6lb of the 8%
what????

A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? Show work pls

Answers

Answer:

28

Step-by-step explanation:

24/6=4 then take the 4 and multiply it by 7(other number in ratio) and you get 28

What is equal to 5 radical 3

Answers

3√5 = √9*√5 = √45 
(√45)^2 = 45. It's 45.

I need some help with a Math question. I'm not sure how to work it out. All help appreciated.If a helicopter at 2000 meters begins to descend at 3 meter per second, how far is the helicopter from the ground after a minute and a half?

Answers

since there are 90 seconds in a minute and a half  you multiply 90 by 2 getting 270 then you subtract 270 from 2000 and you get 1730 meters which is your answer hope this helps!

2x -y=-1
3x-2y=1
elimination somebody do this for me

Answers

2x-y=-1  (1)
3x-2y=1  (2)
(1) * 2--> 4x-2y=-2   (3)
(3) - (2)
x= -3

sub x= -3 into (1)
2(-3)-y=-1
-6-y=-1
-y=5
y= -5
-2(2x-y)=-1
3x-2y=1

-4x+2y=2
3x-2y=1

-x=3 (x=-3)
(-3,__)

2(-3)-y=-1
-6-y=-1
-y=-1+6
-y=5
y=-5
so..(-3,-5)
  

How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1.

Answers

5x + 2x = 7x
 is it in a single term

Final answer:

The expression 5x + 2x simplifies into 7x. Substituting the values 1, 2, 3, 4, and 5 for x in both expressions yields the results 7, 14, 21, 28, and 35 for 5x + 2x, and 6, 13, 20, 27, and 34 for 7x - 1.

Explanation:

The expression 5x + 2x can be simplified into a single term by adding the coefficients of similar terms. This means you add the 5 and 2 together. The result is 7x.

For substituting different values into the expressions 5x + 2x and 7x - 1, let's use 1, 2, 3, 4, and 5 as the values for x.

  1. For x=1: 5(1) + 2(1) = 7 and 7(1)-1 = 6
  2. For x=2: 5(2) + 2(2) = 14 and 7(2)-1 = 13
  3. For x=3: 5(3) + 2(3) = 21 and 7(3)-1 = 20
  4. For x=4: 5(4) + 2(4) = 28 and 7(4)-1 = 27
  5. For x=5: 5(5) + 2(5) = 35 and 7(5)-1 = 34

Learn more about Algebra here:

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