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SpyIntel [72]
3 years ago
15

What is the solution of the proportion? 6/a = 18/27

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0

Answer:

a=9

Step-by-step explanation:

To solve this proportion, we have to get the variable, a, by itself.

First, cross multiply.

6/a=18/27

Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.

a*18=6*27

18a=162

Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.

18a/18=162/18

a=162/18

a=9

So, the proportion, with 9 substituted in for a, will be:

6/9=18/27

patriot [66]3 years ago
5 0

The value of a is 9.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

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Given that (x - 1) is a factor of x4 + 2x3 - 2x - 1, what are the solutions of x4 + 2x3 - 2x - 1 = 0? A. -2, 0, 1 B. -1, 0, 1 C.
noname [10]

Answer:

<h3>D. -1, 1</h3>

Step-by-step explanation:

If x-1 is a factor of x⁴ + 2x³ - 2x - 1, then x-1 =0 is  a factor

if x-1 = 0

x = 1

To get other factors we will divide the polynomial by x-1

Find the division in the attachment

x⁴ + 2x³ - 2x - 1,/x-1 = x³ +3x²+ 3x + 1,

let x = -1 be a factor of the resulting expression

f(-1) = (-1)³ +3(-1)²+ 3(-1) + 1

f(-1) = -1 +3(1)-3 + 1

f(-1) =-1+1-3+3

f(-1) = 0

Since f(-1) =0, hence x+1 is a factor of the resulting polynomial'

Dividing x³ +3x²+ 3x + 1, by x+1 to reduce the power of the polynomial

x³ +3x²+ 3x + 1/x+1 = x²+2x+1

Factorizing x²+2x+1

= x²+2x+1

=x²+x+x+1

= x(x+1)+1(x+1)

= (x+1)(x+1)

if the function is equal to zero

x+1 = 0 and x+1 = 0

x = -1 twice

Hence the solutions to the polynomial are 1 and -1(three times)

4 0
3 years ago
I need help please this is for my math class
dusya [7]

Answer:

Corey and Rodney

Step-by-step explanation:

When simplified, the ratios are 3/5, 4/5, 3/5, and 3/4. There are two 3/5 which mean these two have the same ratio.

3 0
3 years ago
Helpppp quickk pleassee I’m being timeddd
Alex

<u>Given</u>:

The given graph represents the cost of the Kayak's rental per hour.

The coordinates are (2,30) and (3,45)

We need to determine the unit rate of renting per hour.

<u>Unit rate of renting:</u>

The unit rate of renting can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (2,30) and (3,45), we get;

m=\frac{45-30}{3-2}

Simplifying, we get;

m=\frac{15}{1}

Dividing, we get;

m=15

Thus, the unit rate for renting a Kayak is $15 per hour.

7 0
3 years ago
A family has a $10,000 loan for home improvements with simple interest of 24%. What is the monthly payment if the family plans t
cupoosta [38]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
(1 point) Consider the function f(x)=2x3−6x2−48x+5 on the interval [−4,10]. Find the average or mean slope of the function on th
andreyandreev [35.5K]

Answer:

The mean slope on the interval is 68

Step-by-step explanation:

The formula to find the mean slope on an interval [a, b] is given by:

\frac{f(b)-f(a)}{b-a}

So now, we are going to find f(10) and f(-4) and will substitute these values in the formula.

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So the mean slope of the function on the interval [-4,10] is:

\frac{f(10)-f(-4)}{10-(-4)} =\frac{925-(-27)}{14} =\frac{925+27}{14} =\frac{952}{14} =68

8 0
3 years ago
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