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telo118 [61]
4 years ago
8

Write and solve an equation to find the number six times the sum of a number and 15 is -42

Mathematics
1 answer:
Mumz [18]4 years ago
8 0

Hey there! I'm happy to help!

Sum means to add. Let's call our number n.

n+15

We multiply this whole thing by 6.

6(n+15)

And this is -42.

6(n+15)=-42

We use distributive property to undo the parentheses.

6n+90=-42

We subtract 90 from both sides.

6n=-132

We divide both sides by 6.

n=-22.

Have a wonderful day! :D

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Describe the location of point (-3, -2, 3) in three-dimensional coordinate space.
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Answer:

The usual way to draw a 3-D grid can be seen below.

The positive z-axis points upwards

The positive y-axis points to the right

The positive x-axis points towards you, or to the front.

And the notation for a point in 3-D is (x, y, z)

In this case, our point is (-3, -2, 3)

Then the location of the point can be described as:

So the x-value is -3, which means that the point is 3 units behind the origin.

The y-value is -2, which means that the point is 2 units at the left of the origin

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3 years ago
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julsineya [31]

Answer:

B. 1 and D. 3.  

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.

The solutions are at x = 1 and x = 3.

Check:

3 × 1 - 1 = 2¹     3 × 3 -1 = 2³

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4 years ago
Estimate √125 to the nearest integer.
Damm [24]

Given:

The number is \sqrt{125}.

To find:

The estimate value of given number.

Solution:

We have,

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It can be written as

\sqrt{125}=5\sqrt{5}

We know that, \sqrt{5}\approx 2.236. So,

\sqrt{125}=5(2.236)

\sqrt{125}=11.18

Approx the value to the nearest integer.

\sqrt{125}\approx 11

Therefore, the required integer is 11.

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3 years ago
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