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3 years ago

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

Mathematics

2 answers:

dsp733 years ago

7 0

Answer:

f(x) = (x+3)2+3

Step-by-step explanation:

8_murik_8 [283]3 years ago

4 0

Complete the square
move the 3 aside and work in parenthasees
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it (6/2=3, 3^2=9)
add 9 and -9 inside
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthases
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6

2nd choice

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Eight less than one half a number is two

lawyer [7]

Is means =

less than is subtract

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7 0

3 years ago

Solve this thing pls <img src="https://tex.z-dn.net/?f=3%5Cleft%28q-7%5Cright%29%3D27" id="TexFormula1" title="3\left(q-7\ri

evablogger [386]

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of  q .

Solution : -

$\quad \: \longmapsto \: 3(q - 7) = 27$

Step 1 : Solving parenthesis :

$\quad \: \longmapsto \:3q - 21 = 27$

Step 2 : Adding 21 on both sides :

$\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21$

On further calculations we get :

$\quad \: \longmapsto \:3q = 48$

Step 3 : Dividing by 3 from both sides :

$\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }$

On further calculations we get :

$\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}$

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

Therefore, our solution is correct .

<h2>#Keep Learning</h2>

3 0

2 years ago

Read 2 more answers

Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store.

wel

Answer: $0.24

Step-by-step explanation:

9.5 inches --> $2.28
1 inch--->X
now cross multiply it and get,

9.5X = 2.28*1
X = 2.28/9.5

so its $0.24 per inch

4 0

2 years ago

Please answer right away

Andreas93 [3]

Answer:

20 miles with an error margin of ± 8 miles

Step-by-step explanation:

The margin of error of a result is the range in which an error can vary. To find the margin of error between both distances we have to

28-12 = 16, that is, the variation of the result has a range of 16 miles. So we will look for the midpoint of both distances

(X2-X1)/2+X1=(28-12)/2+12=16/2+12=8+12=20

So from this midpoint the value can vary between 8 points below and 8 points above that would cover the difference of 16 miles that we observed at the beginning

In this way, the correct answer is 20 miles with an error margin of ± 8 miles

Done

8 0

3 years ago

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drek231 [11]

Answer:

Step-by-step explanation:

Here are the Options verified:

A. Incorrect. Kites can't be parallelograms.
B. Correct. Kites are quads. Quads have 4 sides. A kite has 4 sides.
C. Incorrect. They don't have opposite sides that are congruent.

Correct choice is B.

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2 years ago

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