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Naily [24]
3 years ago
6

Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

y =  -  \sqrt{x + 8}

The parent function is

y =  \sqrt{x}

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

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What is 4,938,503 rounded to the nearest 1,000 and 10,000
BabaBlast [244]
To the nearest 1,000: 4,939,000
to the nearest 10,000: 4,940,000
3 0
3 years ago
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Two towns, Ancaster and Dundas, are 4 km and 6 km, respectively, from an old railroad line that has been made into a bike trail.
serg [7]
Okay, so first you draw a picture and let x be the distance from point D to the rest stop. Then the distance from point  to the rest stop is  8 - x

You know that the length of the new trail is y + z, where y is the distance from Ancaster to the rest stop and z is the distance from Dundas to the rest stop. 

Now by the Pythagorean theorem,  y^2 = 4^2 + x^2 and  z^2 = 6^2 + (8 - x) ^2

So take square roots of these, add them, and minimize. 

Note: I am assuming the path is perfectly straight, otherwise this approach fails.
8 0
3 years ago
Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly
ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that n = 4

10 years, so t = 10

9% interest, so r = 0.09

There is $300.00 in the account, which means that A = 300

How much did Maureen earn doing odd jobs?

This is P.

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

300 = P(1 + \frac{0.09}{4})^{4*10}

(1.0225)^{40}P = 300

P = \frac{300}{(1.0225)^{40}}

P = 123.19

Maureen earned $123.19 doing odd jobs

5 0
4 years ago
Please help me solve this
Phoenix [80]

Answer:

1/49

Step-by-step explanation:

1/7^2 is merely 1^2/7^2  which is 1/49

Hope this helps :D plz mark brainliest if correct.

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3 years ago
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Which expression is equivalent to −76x+92?
KATRIN_1 [288]

Answer:

4(−19x+23) is equivalent to the expression

Step-by-step explanation:

5 0
3 years ago
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