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3 years ago

How to find the vertex of y=2x^2+12x+16

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

First you divide 2 on the whole thing to get x^2 by itself then -b/2a and results in (-3,-1)

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if you put $1650 into a saving account with a simple interest rate of 2.3%, how much interest would you accrue after 7 years

Ber [7]

You would recieve $37.95 a year then multiply that by 7 years to get $265.65

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3 years ago

Which equation matches the statement

Ulleksa [173]

-4x+2=9 would be the answer for this equation

3 0

3 years ago

Read 2 more answers

51. Find the length of the unknown side x of this triangle, evaluate your answer to two decimal places.

KiRa [710]

Answer:

x=6

Step-by-step explanation:

hope this helped!!

4 0

2 years ago

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

3 years ago

Anne-marienhas saved 9 dollars for a new coat that is 1/6 as much money as she needs how much does the coat cost

Tatiana [17]

Answer:

Cost of the coat = $54

Step-by-step explanation:

Given:

She saved = $ 9

To Find:

Cost of the coat = ?

Solution:

Let the price of coat be x

She saved $9

and according to given condition it is 1/6 of the total money she needs for buying coat

by this we have

$\frac{1}{6}*x = 9$

Multiplying both sides by 6

$\frac{1}{6}*x*6 = 9*6$

it becomes

x = 9*6

x = $54

As x is the amount she needs

Cost of the coat = $54

7 0

3 years ago