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2 years ago

21. Given: f(x) = (x - 2)2 + 4 g(x) = (x – 5)2 + 4 When compared to the graph of

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

7 0

2 your welcome d d d d d d. d d d d s s s s

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What is the balance on a deposit of $1,150 that earns 9% interest compounded annually for 2 years

igor_vitrenko [27]

Step One: Calculate interest.

$1150*0.09=103.5$

Step Two: Calculate the amount at the end of the first year.

$1150+103.5=1253.5$

Step Three: Calculate the amount at the end of the second year. This will be your final answer.

$1253.5+103.5=1357$

$1357 balance

3 0

3 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

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2 years ago

Which equation is equivalent to x^2 - 16x + 49 = 0?

goblinko [34]

Subtract 49 by its negative so now
x^2-16x=-49
then move -16 so
x^2=-49+16x
then add -49 and 16 so then you get
X^2+your answer)
then find the square root because this was in exponential form so find the square root of x^2 and of your answer so
X= Your answer
do the work

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3 years ago

Find the measure of

Paladinen [302]

Answer:

Step-by-step explanation:

If u use a protracter it will work

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2 years ago

the least common denominator for the sum 3/8 + 512 is 24 name another common denominator that you could use

bogdanovich [222]

You could also use 48 because 8 and 12 divide into it.

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3 years ago