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4 years ago

Which equation has the same solution as x^2-6x-13=0?

1 answer:

8 0

$x^2-6x-13=0\\\\\underbrace{x^2-2x\cdot3+3^2}_{use:(a-b)^2=a^2-2ab+b^2}-3^2-13=0\\\\(x-3)^2-9-13=0\\\\(x-3)^2-22=0\\\\\boxed{(x-3)^2=22}$

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1. Jared borrowed $300 from his mother to buy an x-box 360. Jared will pay her back in 4 years with 3.5% simple interest. How mu

BigorU [14]

Answer:

1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342

2) using the compound interest formula:

future value = $225 x (1 + 4.1%)¹°⁵ = $238.98

Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.

3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21

since the interest is annual, we must convert 48 months to 4 years

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3 years ago

You decide to make a beanbag in the shape of a sphere with a diameter of 120 millimeters. You will need to find the volume to kn

Damm [24]

Answer:

The volume is $904,320\ mm^{3}$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=120/2=60\ mm$ ----> the radius is half the diameter

$\pi=3.14$

substitute the values

$V=\frac{4}{3}(3.14)(60)^{3}=904,320\ mm^{3}$

7 0

4 years ago

The low temperature during 4 days in September was 21°C, 21°C, 19°C and 19°C. What was the mean temperature?

Snowcat [4.5K]

Answer:

Step-by-step explanation:

The Answer is 20.

1: First, add up all the temperatures that has been provided, 21 + 21 + 19 + 19. It should give you 80.

2: Divide 80 by how many temperatures has been shown. There were 4 temperatures shown, so 80/4 = 20. Hope this helps you!

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3 years ago

what do the average rates of change of the function y= x+2 over the intervals {-2,0],[0,3], and [-2,3] indicate about the functi

kakasveta [241]

Answer:

The function is linear

Step-by-step explanation:

<u>Given function:</u>

y = x + 2

It is a line with the slope of 1.

Average rate of change is same in any interval of the linear function and it equals to the rate of change or slope of the line.

You can calculate the average rate of change in the given intervals and you will always get the value of 1.

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3 years ago

The diagram shows 2 congruent regular polygons joined together. Work out the number of sides of each polygon. The exterior angle

Svetlanka [38]

Answer: There are five sides in a polygon.

Step-by-step explanation:

Since we have given that

Measure of exterior angles = 72°

We need to find the number of sides of polygon.

As we know the formula for "Number of sides of polygon".

Number of sides is given by

$\frac{360^\circ}{72^\circ}\\\\=5$

Hence, there are five sides in a polygon.

5 0

3 years ago

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