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ehidna [41]
1 year ago
12

Which statements about the graph of the function y = (StartFraction 1 Over 3 EndFraction) Superscript x are true?

Mathematics
2 answers:
WARRIOR [948]1 year ago
6 0

the function is decreasing and the y intercept is (0,1)

swat321 year ago
4 0

Answer

B. The function is decreasing

D. the y-intercept is (0,1)

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Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = ___ (x +11)2 +____.
wel

The\ vertex\ form:\\\\f(x)=a(x-h)^2+k

\text{Use}\ (a+b)^2=a^2+2ab+b^2\qquad(*)

g(x)=4x^2+88x=4(x^2+22x)=4(x^2+2\cdot x\cdot11)\\\\=4(\underbrace{x^2+2\cdot x\cdot11+11^2}_{(*)}-11^2)=4[(x+11)^2-121]=4(x+11)^2+(4)(-121)=4(x+11)^2-484

5 0
1 year ago
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Round all-the-way 2,689
Stels [109]
<span>The number rounded all the way is 3,000. If you round to the hundreds you have to remove the units number which is 9, then you have to increase the tens number to 9, resulting 2,690. Next you have to remove the number 9 and increase the 6 to 7, obtaning 2,700. Finally, you remove the seven and have to incrase the number 2 to 3, to get 3,000. This is three thousdand. </span>
7 0
1 year ago
Patricia can drive 36 kilometers for every 3 liters of gas she puts in her car
Anna35 [415]

Answer:

Patricia will run 132 kilometers with 11 liters of gas.

Step-by-step explanation:

The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.

With 3 liters of gas she drives 36 kilometers.

This means in one liter of gas distance covered by the car = \frac{36}{3}=12 kilometers.

Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = \frac{48}{4}=12 kilometers

Now with 11 liters of gas distance covered by the car will be = 11×12

= 132 kilometers

Therefore, with 11 liters of gas Patricia can run 132 kilometers.

3 0
1 year ago
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Stacie is a resident at your medical facility where you work. You are asked to chart the amount of solid food that she consumes.
enot [183]
4.75 ounces of solid food
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1 year ago
. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf
liberstina [14]

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

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Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

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24 inches = 2 ft

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3 0
1 year ago
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