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3 years ago

Simplify the expression -3 divided by -2/5.

1 answer:

5 0

You can either convert -3 into a fraction, or convert -2/5 into a decimal so you can solve this.
If you decide to convert -3, into a fraction, it would be -3/1, and you'd have to multiply that by the reciprocal of -2/5.
So, you'd have -3/1(-5/2)=15/2, which can be simplified to 7 1/2.
If you decide to convert -2/5 into a decimal, you would get -0.4. You would then divide -3 by -0.4, which is equal to 7.5.
Both 7.5 and 7 1/2 are correct answers, and if you were to convert 7.5 into a fraction and 7 1/2 into a decimal, you would notice that they are the same number, but in different forms.

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How do I solve question 6 through 8?<br> Solve for me

rewona [7]

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

<h3>How to determine the functions?</h3>

A quadratic function is represented as:

y = a(x - h)^2 + k

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

Read more about parabola at:

brainly.com/question/1480401

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5 0

2 years ago

What is 10 times as much as in decimal 0.2?

saul85 [17]

0.02 this isa the answer

3 0

3 years ago

What is the range of the function f(x) = −(x + 3)2 + 7? all real numbers less than or equal to 7 all real numbers greater than o

ss7ja [257]

<span>all real numbers less than or equal to 7</span>

4 0

3 years ago

Read 2 more answers

Somebody help me out plz-

sleet_krkn [62]

Answer:

Vertex: (2,-2)

Axis of symmetry: x=2

Step-by-step explanation:

The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).

The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.

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3 years ago

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PLS HELP SHOW ALL YOUR WORKING OUT BRAINLIEST! WILL BE GIVEN :D

aliina [53]

Answer:

(a) Five

(b) Thirteenth

Step-by-step explanation:

We have the mean is 12.6 and

that 11 occurs 4 times, 12 occurs 7 times, 13 occurs 9 times, and 14 occurs f times.

How many children are there in all (that is the sum of the frequencies).

4+7+9+f

20+f

Alright so the mean could be found by doing:

$\frac{4(11)+7(12)+9(13)+f(14)}{20+f}$

But we are given this is also equal to: 12.6.

So we have

$\frac{4(11)+7(12)+9(13)+f(14)}{20+f}=12.6$

I'm going to simplify what I can on top.

$\frac{245+14f}{20+f}=12.6$

I'm going to write 12.6 as $\frac{12.6}{1}$ because I want to cross multiply:

$\frac{245+14f}{20+f}=\frac{12.6}{1}$

$(245+14f)(1)=12.6(20+f)$

Distribute:

$245+14f=252+12.6f$

Subtract 12.6f on both sides:

$245+1.4f=252$

Subtract 245 on both sides:

$1.4f=7$

Divide both sides by 1.4:

$f=5$

There are five 14 years old.

(b) I would say 13 is good age to represent this bunch.

The means was 12.6 which when rounded is 13.

The mode is 13 because it is the most occurring

The median is also 13. Why? If you list out the data 13 will be the middle number. Or you could say there are 25 kids and if I divide it by 2, I get 12.5. This means you only need to count to the 13th kid with the ages in order to tell with the median is.

There are 4 eleven yr olds.

There are 7 twelve yr olds. That is 11 kids so far.

So the median has to be included in the 9 thirteenth yr olds.

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3 years ago