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Reptile [31]
3 years ago
9

Let m = 6x +5. Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

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A tree in John's backyard has been growing for 4 1/2 years. The tree is 4/5 meters tall. What is the unit rate in meters per yea
STatiana [176]

Answer:

<u>5 127/200 meters</u>

Step-by-step explanation:

4 1/2 = 4 5/10 | 4/5 = 8/10

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4 5/10 = 4.5 | 8/10 = 0.8

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4.8 divided by 0.8 = 5.625

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5.635 = 5 635/1000

635/1000 divided by 5 = 127/200

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5 + 127/200 = <u>5 127/200</u>

4 0
3 years ago
What is the area of the rhombus
erastova [34]

Answer:

12

Step-by-step explanation:

3 0
3 years ago
Six fifths of what number is 60?
Crazy boy [7]
<h3>Hey Buddy,</h3>

<h3>Answer :-</h3>

Answer is 72 .

<h3><u>Explanation :-</u></h3>

\frac{6}{5}  \: of \: what \: number \: is \: 60 \:

You probably , Know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well .

• Any number can be converted to fraction if you use 1 as the denominator:

\frac{60}{1}

• So now that we've converted 60 into a fraction, to work out the answer, we put the fraction 6/5 side by side with our new fraction, 60/1 so that we can multiply those two fractions.

• convert the whole number to a fraction and then multiply the numerators and denominators.

\frac{6 \times 60}{5 \times 1}  =  \frac{360}{5}

• Our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

• You can use our handy GCF calculator to work this out yourself if you want to. We already did that , And the GCF of 360 and 5 is 5.

• We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.

\frac{360}{5}  = 72

\frac{5}{5}  = 1

• When we put that together, we can see that our complete answer is :-

\frac{72}{1}

<h3> Hence ,the complete and simplified answer to the question what is 6/5 of 60 is :- 72 .</h3>

<h3>Hope this helps you...!</h3>

<h3>#Carry on learning#</h3>

<h3>I hope you can understand !! </h3>

7 0
2 years ago
Regina recently inherited an oil painting that was purchased by her great-grandfather for $100 in 1938. In 2013 she took the pai
muminat
The future worth of a certain item or money deposited at a certain percentage is obtained by the equation,

   F = P x (1 + i)^n

F is the future worth, P is present worth, i is the percentage, and n is the number of years.

   n = 2013 - 1938
   n = 75

Substituting the known values,

    300,000 = 100 x (1 + i)^75

The value of i from the equation is 0.1126.

The answer to this item is 11.26%. 
6 0
3 years ago
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valina [46]

5 is 1!!!!!!

Step-by-step explanation:

im sorry i dont know the others

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