If (x^2−1)/(x+1) = 3x + 5, then x + 3 = (A) -3 (B) -2 (C) 0 (D) 2 (E) 4

Use picture above. Write the ratio. Please explain what the ratio means.

PIT_PIT [208]

1) 2:5 ratio

This is a fairly simple process, you count how many of each and then put them in order the way the question asks.

So there are 5 cans and 2 bottles. The question asks "bottles to cans" so the correct answer HAS to be 2:5, NOT 5:2.

2) 3:1

There is 1 spoon and 3 forks. The question asks "forks to spoons" so the correct answer HAS to be 3:1, NOT 1:3

7 0

4 years ago

How is multiplying rational numbers like multiplying integers

Anna [14]

Hello from MrBillDoesMath!

Answer:

See Discussion below

Discussion:

Let a/b and c/d be rational numbers we wish to multiply. Then

(a/b) * (c/d) = (a*c)/(b*d)

The numerator (a*c) is the product of two integers ( a and c) and the denominator (b*d) is also ( b and d). In that way multiplying rational numbers is like multiplying integers.

Thank you,

MrB

5 0

3 years ago

If f(x)=3x+5/x, what is f(a + 2)?

Keith_Richards [23]

Answer:

Answer C is correct

Step-by-step explanation:

1. We replace x as (a + 2)

2. Then we just rewrite this function with the new value

3. Result: 3(a+2) + 5/(a+2)

7 0

2 years ago

Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the

Anastaziya [24]

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys $1\frac{1}{2}$ pounds of flour, 12 ounces of coconut, and $1\frac{1}{4}$ pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = $\frac{3}{4}$ pounds

He buys $\frac{3}{4}$ pounds of coconut.

Adding all of them together yields:

$1\frac{1}{2}$ + $\frac{3}{4}$ + $1\frac{1}{4}$ = $3\frac{1}{2}$ pounds

Let us also convert to ounces:

$3\frac{1}{2}$ / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is $3\frac{1}{2}$ pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

4 0

3 years ago

Helppppp pleaseeee!!! Its 5 Marks

alexgriva [62]

Answer:

As the picture shows, we have

V = (x+5)(x-2)x =30x

<=> x(x^2+3x-10) =30x

<=> x^3 + 3x^2-10x-30x = 0(*)

<=> x^3 +3x^2 -40x = 0

<=> x(x-5)(x+8) =0

Solve for (*), there are 3 solution :

5,

0(invalid),

-8(invalid)

=> 3 dimensions of rectangular box: 5, 3, 10

8 0

4 years ago

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