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Ivanshal [37]
3 years ago
14

What is the term to term rule of the sequence 4,12,36,108,124

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
I’m assuming the 124 is supposed to be 324 and it was just mistyped, the Answer would be (Times 3)
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What are the slope and the y-intercept of the linear function that is represented by the equation y=9x-2? The slope is –2, and t
MatroZZZ [7]

Hello there!

Answer:

The slope is 9, and the y-intercept is –2

Step-by-step explanation:

The equation is y = 9x - 2

This follows the equation y = mx + b

Where as:

m = slope

b = y-intercept

When you know this, you would figure out that 9 is in the same place as m, and -2 is in the same place as b.

The y-intercept would not be a positive 2 because when there's a minus sign next to the number in the y-intercept spot, then you would have to bring that over to the number. We can also say the minus sign belongs to the 2, making it a -2.

With the information we know now, we can say that the slope of the equation is 9, and the y-intercept would be -2.

Therefore, giving your answer as "The slope is 9, and the y-intercept is –2"

6 0
4 years ago
You start at (3, -5). you move left 4 units. where do you end?
Marat540 [252]

Answer:

(-2,-5)

Step-by-step explanation:

you simply move five units to the left, since you are not going up and down, they Y axis stays the same. The X axis is the one you count.

4 0
3 years ago
What is the diameter of a sphere with volume of 7483
elena-14-01-66 [18.8K]

Answer:

The diameter of the sphere with the given volume is 24.268 units

Step-by-step explanation:

Volume of a sphere is given by the equation:

V=4/3\pi r^3

Plug in your volume and solve for r

7483=4/3\pi r^3

7483(3/4)=\pi r^3

5612.25=\pi r^3

5612.25/\pi =r^3

1786.43=r^3

\sqrt[3]{1786.43}=r

r = 12.134 units

d = 2r

d = 2(12.134)

d = 24.268 units

5 0
3 years ago
Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=24x^3-64x^2-21x+56
8090 [49]

Since this polynomial has 4 terms, factoring by grouping should be the first thing we try here.

So, we have:

8x^2(3x-8)-7(3x-8)=0 \implies\\ (8x^2-7)(3x-8)=0

So, we can use ZPP to find out roots:

3x-8 =0 \implies\\ x=\frac{8}{3}\\ 8x^2-7=0 \implies \\ 8x^2=7 \implies \\ x^2=\frac{7}{8} \implies \\ x=\pm\frac{\sqrt{7}}{\sqrt{{8}}}\\ \text{Rationalizing denominator:}\\ x=\pm\frac{\sqrt{56}}{8}

So our three roots are:

x \in \{\frac{8}{3},\frac{\sqrt{56}}{8},-\frac{\sqrt{56}}{8}\}

8 0
3 years ago
Latrell wants to paint his bedroom ceiling to look like the sky. He wants it to be 85% blue and 15% white. If he needs 4.25 gall
Mandarinka [93]

Answer:

0.75 gallons

Step-by-step explanation:

As the statement indicates that Latrell wants the bedroom ceiling to be 85% blue and 15% white and you know that he needs 4.25 gallons of blue which represents the 85%, you can use a rule of three to find the amount that represents the 15% to know the gallons of white that he needs:

4.25 gallons → 85%

          x         ←  15%

x= (4.25*15)/85

x=0.75

According to this, the answer is that if Latrell needs 4.25 gallons of blue, he needs 0.75 gallons of white.

6 0
3 years ago
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