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3 years ago

Rewrite the function y= x^2 + 14x + 4 in vertex form

Mathematics

1 answer:

Step2247 [10]3 years ago

4 0

Vertex form is basically commplete the square
y=a(x-h)^2+k

y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45

answer is A

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Step-by-step explanation:

Original length of steel stock was 2.1m = 210cm

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3 years ago

Which best explains why these two figures are similar or not similar?

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Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

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4 years ago

You have made two of the exact same necklaces that cost you a total of $15 in supplies. You have chosen to mark up the price by

tatyana61 [14]

Answer:

A) The selling price for each necklaces is $8.625

B) The profit mark in each necklaces is 15%

Step-by-step explanation:

Given as :

The total cost of two necklaces = c.p = $15

The markup percentage for the necklaces = m = 15%

Let The selling price for both necklaces = s.p

A ) <u>Now, From markup method</u>

m% = $\dfrac{s.p - c.p}{c.p}$

or, 15% = $\dfrac{s.p - 15}{15}$

or, 15% = $\dfrac{s.p}{15}$ - 1

or, $\dfrac{s.p}{15}$ = 1 + 15%

or, $\dfrac{s.p}{15}$ = 1 + $\dfrac{15}{100}$

or, $\dfrac{s.p}{15}$ = $\dfrac{100 + 15}{100}$

or, $\dfrac{s.p}{15}$ = $\dfrac{115}{100}$

∴ s.p = $\frac{15\times 115}{100}$

I.e s.p = $17.25

So, selling price of two necklaces = s.p = $17.25

or, selling price of one necklaces = s.p = $\dfrac{17.25}{2}$ = $8.625

Hence, The selling price for each necklaces is $8.625

<u>Now, Again</u>

B) ∵ The total cost of two necklaces = c.p = $15

So, The cost price of one necklaces = $\dfrac{15}{2}$ = $7.5

∴ profit% for each necklace = $\dfrac{s.p - c.p}{c.p}$

i.e profit% for each necklace = $\dfrac{8.625 - 7.5}{7.5}$

Or, profit% for each necklace = $\dfrac{1.125}{7.5}$

Or, profit% for each necklace = 0.15

So, The profit make in each necklaces = 15%

Hence, The profit mark in each necklaces is 15%

Answer

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3 years ago