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3 years ago

Which expression is equivalent to the expression below? Select all that apply.

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

Answer:

2 and 3

Step-by-step explanation:

To simplify this expression, you will need to use the distributive property.

Multiply -2/5 by 15 = - 6, -2/5 by -20d = 8d, and -2/5 by 5c = -2c.

you can switch these around to get -6 + 8d - 2c and -2c + 8d - 6.

Hope this helps :)

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Which proportion could you use to convert 4.5 pints to fluid ounces

poizon [28]

In 1 pint there is 16 fluid ounces
16 x 4.5 = 72 fluid ounces

i hope this helps :)

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2 years ago

Someone tell me the answer of an expression equivalent to 4-2(x+5). Please and Thank you.

igomit [66]

Answer:

-2x - 6

Step-by-step explanation:

Multiplication must be done before addition or subtraction. Thus, we leave '4' as is and multiply out -2(x + 5), obtaining:

4 - 2x - 10, or -2x - 6

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3 years ago

At a school, the ratio of boys to girls to teachers is 15:12:3. Find the number of boys in the school. Find the number of girls

Sonbull [250]

Answer:

15:12:3= 15 boys 12 girls and 3 teachers

Step-by-step explanation:

There are 5 boys in the School and 4 girls in the School and 1 teachers in the School

Because you got to try to look for a number that you can divide by all three numbers. And that number is 3. Because if you do 15 ÷ 3 =5, 12÷3=4, 3÷3=1

5 0

4 years ago

Which statement is equivalent to the inequality 5z<30

Sveta_85 [38]

Z < 6. Just divide each side by 5 :)

5 0

3 years ago

Read 2 more answers

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.

Therefore, the right answer is b. f(x) = 1/2(x + 11)^2 - 5

SECOND.

Translating 8 units to the right:

$g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2$

Then translating 1 unit down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.

Therefore, the right answer is a. g(x) = 1/3(x - 8)^2 - 1

7 0

3 years ago