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3 years ago

Please help. Evaluate 5(n+3)-7n , when n = 6

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

7 0

Answer:

Step-by-step explanation:

Okay, since we know what n equals to, all we have to do is insert 6 where n was:

$5(6+3)-7(6)$

Now we just need to simplify, so:

$30 + 15 - 42$

$45-42$

And we get our answer

$= 3$

never [62]3 years ago

5 0

Answer:

Step-by-step explanation:

because if N = 6, then you will have to substitute the n to n and then do the order of operation. first it will be 6+3=9 and then 9*5=45. then you will do 7*6=42 and then subtract 45-42=3

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3x = 27

lawyer [7]

Answer:

Step-by-step explanation:

Since you are trying to make x on its own, you are trying to get rid of the co-efficient. The co-efficient is three, so you divide 3 by 3, which would equal one, leaving x on its own. Whatever you do to one side you do to the other, so you would divide 27 by 3 as well.

x = 9

8 0

3 years ago

Read 2 more answers

If holly,alex and ben had 100 balls. holly had 20 balls and alex had 2x as many as she did, how many did ben have?

umka2103 [35]

Holly has 20 balls, and there are 100 balls in total.

So there are 100-20 = 80 balls left.

Alex had 2 * the amount Holly had, which is 20.

So Alex has 20 * 2 = 40 balls.

Together, they have 60 balls.

Which means 100-60 = 40. So Ben has 40 balls.

Check:

Holly: 20

Alex: 40

Ben: 40

Add them: 20 + 40 + 40 = 100

8 0

3 years ago

Read 2 more answers

one factor of the function f(x) = x^3 -7x^2+14x-8 is (x-4). describe how to find the x intercept and the y intercepts of the gra

Xelga [282]

Answer:

(2 , 0)

(1 , 0)

(4 , 0)

(0, -8)

Step-by-step explanation:

f(x) = x³ -7x² + 14x - 8

The y intercept occurs when x = 0.

This means the first three terms all go to zero an the result is y = -8

As we are given one factor, (x - 4), we know that one zero will occur when this factor is zero

x - 4 = 0

x = 4

taking out the x - 4 term from the quadratic

x³ -7x² + 14x - 8 = (x² ± Cx + 2)(x - 4)

we can see that

2x ± 4Cx = 14x

±4C = 12

C = 12/±4 = ±3

also

±Cx² - 4x² = -7x²

±C - 4 = -7

so C = -3

(x² - 3x + 2)

(x - 2)(x - 1)

x = 2

x = 1

7 0

3 years ago

PLEASE SOMEONE HELP ILL GIVE BRAINLIEST!

grin007 [14]

Answer:

Part A

The rotation of the point (x, y) 180° about the origin gives the point (-x, -y)

Therefore, we have the points, ΔLMN, L(1, 1), and M(2, 2), and N(3, 3)

The coordinates of the vertices of the image, ΔL'M'N' are L'(-1, -1), and M'(-2, -2), and N'(-3, -3)

Please find attached the graph of triangle ΔLMN and ΔL'M'N'

Part B

The lines drawn through L and L' and through M and M' are colinear

Part C

A line is defined by two points, such as L and M. Rotation of a line through 180° about the origin will give an image location on the same path as the extension of the original line.

The third point, N, however, defines a plane, and the rotation of a plane by 180° will give an image which is turned upside down with regards to the preimage

Therefore, a trough in the preimage becomes a peak in the image and the lines drawn through N and N' crosses the colinear lines drawn throgh M and M' and L and L'

Step-by-step explanation:

5 0

3 years ago

Write the equation of the parabola whose focus is (4,0) and directrix at y = 2

goldfiish [28.3K]

Answer:

$\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}=\left ( y-2 \right )^{2}$

Step-by-step explanation: We know that distance from a point on the parabola and focus is equal to their distance from a the directrix. Let (x, y) be the point,

So,

$\sqrt{\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}}=\frac{\left | y-2 \right |}{1}$

$\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}=\left ( y-2 \right )^{2}$ . This is the required equation.

3 0

4 years ago