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3 years ago

Julio's age is 3 times Sally's age plus 2. Sally's age is Julio's age minus 14 what is the difference in their ages?

1 answer:

5 0

J = 3S + 2
S = J - 14

S = 3S + 2 - 14
S - 3S = 2 - 14
-2S = - 12
S = -12/-2
S = 6

J = 3S + 2
J = 3(6) + 2
J = 18 + 2
J = 20

and the difference is : 20 - 6 = 14 <===

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4, 6, 2, 8, 4, 4, 2, 10<br> Mean:<br> Median:<br> Mode:

Troyanec [42]

Answer:

Mean: 5

Median: 4

Mode: 4

Step-by-step explanation:

Mean:

1. To find the mean given a data set, you have to add up all the data points and then divide them by the number of data points there is.

$\frac{4+6+2+8+4+4+2+10}{8}$
$\frac{40}{8}$
$5$

Therefore, the mean is 5.

Median:

1. To find the median given a data set, we first have to arrange the data points in order.

$2, 2, 4, 4, 4, 6, 8, 10$

2. Next, we have to find which data point is in the middle. In this case, the middle number is 4.

Therefore, the median is 4.

Mode:

1. To find the mode given a data set, you just have to find which data point is the most frequent.

1 data point of 2
3 data points of 4
1 data point of 6
1 data point of 8

1 data point of 10

Because the most frequent value is 4, the mode is 4.

6 0

3 years ago

Read 2 more answers

Trisha had the following seven distances (in feet) in the triple jump.

butalik [34]

The range of a data set is the greatest value minus the smallest value.

The greatest value here is 32, and the smallest value is 27:

$\sf Range=32-27=\boxed{\sf 5}$

5 0

3 years ago

The ordered pair (a,b) satisfies the inequality y < x + 6. which statement is true ?

natka813 [3]

Answer:

True: If you add 6 to a, this will be greater than b.

Step-by-step explanation:

If the ordered pair (a,b) satisfies the inequality y < x + 6, then the coordinates of this point satisfy the inequality. Substitute into the inequality x = a and y =b:

$b$

Check all options:

A. Subtract 6 from b:

$b-6$

So, if you subtract 6 from b it will be less than a but never equal to a, so this option is false.

$bb\\ \\a>b-6$

So, a is greater than b - 6, not b. This option is false.

C. If you add 6 to a, then

$bb$

This option is true.

D. a+6 is greater than b, so it cannot be less than b. This option is false.

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3 years ago

Find all real zeros of 2x^3-10x<br>

lisov135 [29]

Answer:

2x^3-10x

2x^3/x -10x/x

2x^2-10

2x^2/2 - 10/2

x^2-5

x^2=5

8 0

2 years ago

Read 2 more answers

Which is the inverse of the function f(x) = x2 − 4?

Rudiy27

The function is not one-to-one function, hence the inverse doesn't exist for the whole domain of the function. But if we restrict the domain to $x\in(-\infty,0]$ or $x\in[0,\infty)$ , then we can give the inverse.

$f(x)=x^2-4\\\\y=x^2-4\\\\x^2=y+4\\\\x=\sqrt{y+4} \vee x=-\sqrt{y+4}\\\\f^{-1}(x)=\sqrt{x+4}\vee f^{-1}(x)=-\sqrt{x+4}$

So, when $D_{f(x)}:x\in(-\infty,0]$ , the inverse is $f^{-1}(x)=-\sqrt{x+4}$ and when $D_{f(x)}:x\in[0,\infty)$ , the inverse is $f^{-1}(x)=\sqrt{x+4}$ .

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3 years ago