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3 years ago

Find the vertex of this function. Is it a maximum or a minimum? y=-3(x + 4)2 + 2

Mathematics

1 answer:

Vika [28.1K]3 years ago

8 0

Step-by-step explanation:

The equation given is of the form

$y = a(x - h)^2 + k$

where (h, k) are the coordinates of the vertex. So in this case, the vertex is located at (4, 2). Since a is a negative number (a = -3), this means that the vertex is a maximum because the parabola opens downward.

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a person invests 9000 dollars in the back. The back pats 4.75% interest compounded quarterly. To the tenth of a year, how long m

MaRussiya [10]

Answer:

5.7 years

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\\ P=\$9,000\\A=\$11,800\\r=4.75\%=4.75/100=0.0475\\n=4$

substitute in the formula above

$11,800=9,000(1+\frac{0.0475}{4})^{4t}$

Solve for t

$\frac{11.8}{9} =(1.011875)^{4t}$

Applying property of exponents

$\frac{11.8}{9} =(1.011875^{4})^{t}$

Applying log both sides

$log(\frac{11.8}{9})=log[(1.011875^{4})^{t}]$

$log(\frac{11.8}{9})=(t)log[(1.011875^{4})]$

$t=log(\frac{11.8}{9})/log[(1.011875^{4})]$

$t=5.7\ years$

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4 years ago

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Answer: b. the phosphorus cycle

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3 years ago

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Monica [59]

1/u = 1/f -1/v
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3 years ago

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F f(x) = 3(x + 4), find f(2).

inna [77]

Answer:

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Step-by-step explanation:

To evaluate f(2) , substitute x = 2 into f(x), that is

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3 years ago

The thickness of a block is approximately 2 centimeters. How many blocks are in a stack that is 1,000 millimeters high? ( 1 cm =

dangina [55]

Answer:

1block=2cm

1cm=10mm

therefore 1block=2×10=20

1000÷20=50

=50blocks

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3 years ago

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