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LenKa [72]
3 years ago
15

If f(2) = 22 – 5, then what is the value of f(2) + f(5)?

Mathematics
2 answers:
jasenka [17]3 years ago
5 0

Answer:

67

Step-by-step explanation:

With the information of f(2) = 22-5,  you can assume the equation will be f(x) = 11x-5. Using this, you can calculate f(5) by doing 11(5)-5, which is 50. 22-5 is 17, so 50+17=67

kobusy [5.1K]3 years ago
3 0

22-5=f(2)

10.5-2.5=f(1)

52.5-10.5=f(5)

22-5+52.5-10.5

17+42=69

69

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The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this i
andre [41]

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality 2x+y is depicted in green, while the boundary line for the inequality 2x-4y>8 is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

2x+y

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

2x-4y >8\\2x-8>4y\\y

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.

5 0
3 years ago
What is the x in 2/3×-10=-12 answer to 2/3×-10=-12
satela [25.4K]
X= -3

2/3x-10=12

Step 1: Add 10 to both sides.

2/3x=-2

Step 2: Multiply both sides by 3/2.

x= -3
3 0
3 years ago
The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate
ella [17]

Interest paid after 30 years is $494,546.99.

Solution:

Principal (P) = $195,000

Interest rate (r) = 4.3%

Time (t) = 30 years

n = number of times interest calculated per year

n = 1

Compound interest formula:

$A=P\left(1+\frac{r}{n}\right)^{n t}

where A is the final amount

$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}

$A=195000\left(1+\frac{4.3}{100}\right)^{30}

$A=195000\left(\frac{100+4.3}{100}\right)^{30}

$A=195000\left(\frac{104.3}{100}\right)^{30}

A = 689546.99

Interest = Amount  - Principal

             = 689546.99 - 195000

             = 494546.99

Interest paid after 30 years is $494,546.99.

6 0
3 years ago
What is the volume of the rectangular prism?
Nataly_w [17]

Answer:

C. 72 cm^3

Step-by-step explanation:

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3 0
3 years ago
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What are the endpoint coordinates for the midsegment of △BCD that is parallel to BC?
natulia [17]

Answer:

<em>The endpoint coordinates for the mid-segment are:  (-2,-1) and (1,0)</em>

Step-by-step explanation:

According to the given diagram, the coordinates of the vertices of \triangle BCD are:   B(-3,1), C(3,3) and D(-1,-3)

Now, the endpoints of the mid-segment of \triangle BCD which is parallel to BC will be the mid-points of sides BD and CD.

<u>Formula for the coordinate of mid-point</u> :   (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}), where (x_{1}, y_{1}) and (x_{2}, y_{2}) are two endpoints.

So, the mid-point of BD will be:  (\frac{-3-1}{2},\frac{1-3}{2})=(\frac{-4}{2},\frac{-2}{2})=(-2,-1)

and the mid-point of CD will be:  (\frac{3-1}{2},\frac{3-3}{2})=(\frac{2}{2},\frac{0}{2})=(1,0)

Thus, the endpoint coordinates for the mid-segment of \triangle BCD that is parallel to BC are  (-2,-1) and (1,0)

4 0
3 years ago
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