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andreev551 [17]
3 years ago
10

Select the correct answer.

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Given g(x) then g(x + a) is a horizontal translation of g(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

h(x) = g(x - 3) = (x - 3)² with a < 0

The graph of h(x) is the graph of g(x) horizontally shifted right 3 units

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The ratio of boys to girls in a class is 2:3. If there are 18 girls in the class, what is the probability of a boy being in the
lukranit [14]

Answer:

0.4

Step-by-step explanation:

If the ratio of boys to girls in a class is 2:3, then

  • there are 2x boys;
  • there are 3x girls.

If there are 18 girls in the class, then

3x=18\\ \\x=6

Thus, there are

  • 2\cdot 6=12 boys;
  • 3\cdot 6=18 girls;
  • 12+18=30 students in total.

The probability of a boy being in the class is

P=\dfrac{12}{30}=\dfrac{2}{5}=0.4

7 0
3 years ago
The radius of a sphere is 9cm. Volume= Round to the nearest tenth
Schach [20]

Answer:

3053.6

Step-by-step explanation:

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3 years ago
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Artyom0805 [142]

Answer:

C

Step-by-step explanation:

4 0
2 years ago
What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
vlabodo [156]

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = ax^{2} +bx +c

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = x^{2} +8x - 2   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = (-4^{2}) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

5 0
2 years ago
Algebraic models grade 12 math college please write the answers without explaining thank you.
Zinaida [17]

From the problem :

6^4\times6^{-5}

In multiplying expressions with the same bases, the exponent will be added accordingly.

For example :

a^m\times a^n=a^{m+n}

the exponent of a are m and n, and the product will be a raised to the sum of m and n.

Applying this to the problem, we have :

6^4\times6^{-5}=6^{4-5}=6^{-1}

The answer is d. 6^-1

6 0
1 year ago
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