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2 years ago

Write the fisrt four terms of the sequence start at 7 then subtract 3

Mathematics

2 answers:

s344n2d4d5 [400]2 years ago

6 0

Answer:7,4,1,-2

Step-by-step explanation:

Likurg_2 [28]2 years ago

6 0

Answer:

7 , 4 , 1 , - 1 ...

Step-by-step explanation:

7 , 4 , 1 , - 2 ... (7 - 3(n - 1) ) ...

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Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17

diamong [38]

Given:

The table of values is:

x : -7 -5 -3 -1

y : 5 9 13 17

To find:

Whether the given data is linear and then find the equation.

Solution:

The given data is linear if the slope and rate of change is constant.

Slope formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Using the slope formula. we get

$\dfrac{9-5}{-5-(-7)}=2$

$\dfrac{13-9}{-3-(-5)}=2$

$\dfrac{17-13}{-1-(-3)}=2$

Since the rate of change is constant, i.e., 2, therefore the given data is linear.

The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:

$y-y_1=m(x-x_1)$

$y-5=2(x-(-7))$

$y-5=2(x+7)$

$y-5=2x+14$

Adding 5 on both sides, we get

$y-5+5=2x+14+5$

$y=2x+19$

Therefore, the equation for the given data is $y=2x+19$ .

8 0

3 years ago

What is the value of f(7)

Lelu [443]

Answer:

7f

Step-by-step explanation:

You move 7 to the left of f.

This makes the exact value of f(7), 7f.

8 0

3 years ago

Find the directrix of the parabola y = (1/8)(x – 5)2 - 3.

V125BC [204]

I have no idea. Quick question for you though since we are working on similar stuff. How do I write this equation in graphing form: y=2x^2-12x+19

6 0

3 years ago

PLEASE HELP TIMED---

LekaFEV [45]

Answer:

6/10

Step-by-step explanation:

i think sorry if incorrect

3 0

3 years ago

Read 2 more answers

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

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

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago