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polet [3.4K]
3 years ago
7

Whats the missing number

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

<h2><u><em>5</em></u></h2>

Step-by-step explanation:

X * 3^2 +2 = 47

X * 9 + 2 = 47

9X = 47 - 2

9x = 45

x = 45 : 9

X = 5

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Please help me with fuction problems.
DerKrebs [107]

1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.

2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.

3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.

4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).

5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.

8 0
3 years ago
Read 2 more answers
Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, co
cricket20 [7]

Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.

8 0
3 years ago
9. A television regularly costs $180, but it is on sale for 40% off. There is a
Alexandra [31]

Answer:

C $113.40

Step-by-step explanation:

100%-40%=60%

$180x60/100

=$10800/100

=$108

100%+5%(tax)=105%

$108x105/100

=$11340/100

=$113.40 (C)

3 0
3 years ago
Find the area of the given shape
Luba_88 [7]
Answer:
The area of that triangle is 28 square inches.
Explanation:
You must choose a height that is perpendicular to the base.

In that case, the height 8 inches is perpendicular to the base 7 inches.

8 inches x 7 inches= 56 inches.

Since the formula for a triangle is base x height divided by 2, we divided 56 by 2

56 divided by 2 = 28
So the area is 28 square inches
MARK ME BRAINLIEST PLS
8 0
3 years ago
6. Evaluate f(g(-3)) given the functions below. *
Sholpan [36]

Answer:

21

Step-by-step explanation:

solve g(-3)

2(-3)^2 + 7

25

solve f(25)

25-4

21

6 0
2 years ago
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