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2 years ago

Write p(x) = 21 + 24x + 6x2 in vertex form. p(x) = (x + )2 –

2 answers:

6 0

Group x terms
p(x)=(6x^2+24x)+21
factor out the quadratic coefient
p(x)=6(x^2+4x)+21
take 1/2 of linear coefient and square it
4/2=2, 2^2=4
add negative and positive inside parenthasees
p(x)=6(x^2+4x+4-4)+21
factor perfect square
p(x)=6((x+2)^2-4)+21
expand
p(x)=6(x+2)^2-24+21
p(x)=6(x+2)^2-3

nordsb [41]2 years ago

4 0

Answer:

Answer:

6,2,3

Step-by-step explanation: keep it simple...look at the other answer for example.

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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la

nikdorinn [45]

Answer:

f(x) = 3(2)^x

Step-by-step explanation:

The Table is:

-2 3/4

-1 3/2

0 3

1 6

2 12

The exponential funtion has the next form:

f(x) = a(b)^x

At x = 0, f(x) = a. Then, a = 3

Isolating b from the equation:

f(x)/a = b^x

ln(f(x)/a) = x*ln(b)

[ln(f(x)/a)]/x = ln(b)

At x = 1, f(x) = 6. Then:

[ln(6/3)]/1 = ln(b)

ln(2) = ln(b)

2 = b

Therefore, the function is f(x) = 3(2)^x

7 0

2 years ago

Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av

Brrunno [24]

The answer is 6(0.65-t)

3 0

2 years ago

Read 2 more answers

Bo paid bills with 1/2 of his paycheck snd put 1/5 of the remainder in savings. The rest of his paycheck he divided equally amon

frutty [35]

1/2 + 1/5(1/2) = 1/2 + 1/10 = 5/10 + 1/10 = 6/10....this leaves 4/10 (reduces to 2/5) for his children.

(2/5) / 3 = 2/5 * 1/3 = 2/15 for each child <== A

400 in each childs account.....thats (400 * 3) = 1200 ...
2/5 of what is 1200 =
2/5x = 1200
x = 1200 * 5/2
x = 6000/2
x = 3000 <== B

check...
total pay is 3000
1/2 for bills.....- 1500
1/5(-1500) = -1500/5 = -300 ....for savings
3000 - (1500 + 300) = 3000 - 1800 = 1200...remaining for the children
1200/3 = 400 ...for each child.

so ur answers are :
A. 2/15 in each childs account
B. original paycheck = $ 3000

3 0

2 years ago

Read 2 more answers

By coincidence, Kimberly’s Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint

Damm [24]

Answer:

36 liters

Step-by-step explanation:

Yellow paint = 9 liters containers

Blue paint = 12 liters containers

Kimberly’s Paint Supplies sold equal quantities of two paint colors yesterday

What is the smallest amount of each paint color the store must have sold?

Find the Lowest common multiple of 9 liters and 12 liters

9 liters = 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

12 liters = 24, 36, 48, 60, 72, 84, 96, 108

The Lowest common multiple of 9 liters and 12 liters is 36 liters

Therefore, the smallest amount of each paint color the store must have sold to have equal quantities of two paint colors yesterday is 36 liters

7 0

2 years ago

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Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x

arsen [322]

Answer:

<h3>The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction</h3>

Step-by-step explanation:

Given the expression $\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }$ for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

$\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\$

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

6 0

2 years ago