What the algebraic expression for the difference of 8 and a number?

Answers

Answer 1
Answer: 8-n
...........
Answer 2
Answer:

Four times the difference of eight and a number:

Step-by-step explanation:


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What are the solutions to the quadratic equation 4x^2 = 64? A. x = −16 and x = 16 B. x = −8 and x = 8 C. x = −4 and x = 4 D. x = −2 and x = 2
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A partial deck of cards was found sitting out on a table.If the partial deck consists of 6 spades, 3 hearts, and 7 diamonds, what is the probability of randomly selecting a red card from this partial deck? (Note: diamond sand hearts are considered “red,” while spades and clubsare considered “black.”) Can you help me please?

Answers

3 hearts = red cards
8 diamands = red cards
6 spades = black cards

It means that total number of red cards is 11, total number of black cards is 6 and total amount of cards is 17 (in this deck)

so probabilty of choosing red card from this deck will be 11 to 17 (red cards to all cards in this deck)

11:17

or you can write it down as percentage

(11)/(17)*100\%=(11*100)/(17)\%\approx67,71\%

Your answer then is 67.71% or probabilty of chosing red card is like 11 to 17

Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.2 with a $106 registration fee.$13,160
$14,372.08
$1,232.08
$14,286.08

Answers

15,640 * 7.2% = 1,126.80 Sales tax

Total cost:
cost of an item: 15,640 - 2,500 = 13,140.00
sales tax                                         1,126.80
registration fee                                   106.00
                                                     14,372.80   2nd option.

Factorization of 1260

Answers

The prime factorization of a number is when you break it down into the very basic prime numbers that, when multiplied together, will equal that final number.
Right off the bat, we can see that 1260 is an even number, so we will start by dividing by 2, since all even numbers are divisible by 2

1260 / 2 = 630

Again, the number is obviously divisible by 2, so we will do it again

630 / 2 = 315

315 is not divisible by 2, so let us check if it is divisible by 3. 
A proven way to do this is to add the individual numbers in the bigger number, and if that number is divisible by 3, then the bigger number is also divisible by 3.

3 + 1 + 5 = 9

9 is divisible by 3, so we know that 315 is also divisible by 3.

315 / 3 = 105

If any number (except 0) ends with a 5 or a 0, then it is divisible by 5.

105 / 5 = 21

21 is again divisible by 3

21 / 3 = 7

So there are our prime factor numbers.

The prime factorization of 1260 is as follows:

2 * 2 * 3 * 3 * 5 * 7

Hope that helped =)

How to turn it from standard form to slope intercept form

Answers

7 . X + 2y = 4 (move x beside 4, since it's positive it will be negative)

2y = 4 - X (divide terms to 2)

| 2y ÷ 2 = y | 4 ÷ 2 = 2 | -X ÷ 2 = -1/2 (There's always an imaginary 1 beside x, only just x).

y = 2 - 1/2x (rearrange terms)

y = -1/2x + 2

9. -2x + 3y = -6 (move -2x beside -6, since it's negative it will turn into a positive)

3y = -6 + 2x (divide by 3)

y = -2 + 2/3x (rearrange)

y = 2/3x -2

11. 5x - 2y = 14

-2y = 14 - 5x (-2 ÷ -5x is 5/2x, but since numerator and denominator are negative, fraction turns positive)

y = -7 + 5/2x

y= 5/2x - 7

13. 4x + 3y = 12

3y = 12- 4x

y = 4 -4/3x

y = -4/3x + 4

15. x + 3y = -3

3y = -3 -x

y = -1 -1/3x

y -1/3x - 1

There you go!

Just remember those steps and you should be fine :)

4(3x 5)=-4

Solve for x and show work

Answers

Answer:

x = -2 if its 4(3x + 5) = -4

OR

x = 4/3 if its 4(3x - 5) = -4

Step-by-step explanation:

Your missing an plus or minus sign.

4(3x + 5) = -4          / multiply contents of parentheses by 4

12x + 20 = -4          / subtract 20 from both sides

12x = -24                / divide both sides by 12

x = -2

OR

4(3x - 5) = -4          / multiply contents of parentheses by 4

12x - 20 = -4          / add 20 to both sides

12x = 16                / divide both sides by 12

x = 16/12              / simplify

x = 4/3

Answer: -2

Step-by-step explanation:

To solve the equation 4(3x + 5) = -4, we need to follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses.

This gives us 12x + 20 = -4.

Step 2: Subtract 20 from both sides of the equation to isolate the variable term.

We get 12x = -4 - 20, which simplifies to 12x = -24.

Step 3: Divide both sides of the equation by 12 to solve for x.

Dividing both sides by 12 gives us x = -24/12, which simplifies to x = -2.

So, the solution to the equation 4(3x + 5) = -4 is x = -2.

The axis of symmetry of a parabola is x=4.6. It crosses the x -axis at (0.6,0). What is the x -coordinate of the other point where the parabola crosses the x -axis?

Answers

keeping in mind that the vertex of a parabola is halfway between the x-intercepts, if a point is a 0.6, and the vertex is at 4.6, that's just 4 units over to the right, thus the other point will have to be 4 units further, check the picture below.