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3 years ago

Which two expressions are equivalent

Mathematics

1 answer:

Blizzard [7]3 years ago

7 0

Answer:

C because 4 times 3x is 12x, and 4 times 4x is 16x

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Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend

melisa1 [442]

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

4 0

3 years ago

The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and the

Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

$6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}$

So, a = 5.

Thank you.

7 0

3 years ago

Help with this one ???//?//?

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the values of p and q such that 4x^2+12=4(x-p)^2+q<br> !!!!!

liraira [26]

Answer:i dont know please answer this

Step-by-step explanation:

4 0

3 years ago

You received your first credit card with a spending limit of $2,000 at 18.9% interest. You decide you need to upgrade your sound

kari74 [83]

Answer:

It will take approximately 25 months

Step-by-step explanation:

The amount owed on the credit card statement, P = $2,000

The interest rate of the credit on the credit card, r = 18.9%

The minimum monthly payment made, M = $100

The equal monthly installment formula is given as follows;

$M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}$

Therefore, we get;

$100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}$

100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ

100×1.01575ⁿ - 31.50×1.01575ⁿ = 100

68.5×1.01575ⁿ = 100

1.01575ⁿ = 100/68.5

n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)

Therefore, it will take approximately 25 months to pay off the credit card debt

8 0

3 years ago