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2 years ago

Use the table below to determine whether f(x) could represent a linear function If it could write f(x) in the form f(x)=mx+b

Mathematics

1 answer:

Elodia [21]2 years ago

3 0

Answer:

f(x) = 6x - 5

Step-by-step explanation:

We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)

<u>So the function is:</u>

f(x) = 6x - 5

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Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?

erica [24]

Answer:

(a)

$V=x^3+x^2-9x-9$

(b)

$x=10$

(c)

$x=\frac{7}{2}$

Step-by-step explanation:

we are given

length is x+1

$L=x+1$

width is x+3

$W=x+3$

height is x-3

$H=x-3$

(a)

we can use volume formula

$V=L\times W\times H$

now, we can plug it

$V=(x+1)\times (x+3)\times (x-3)$

now, we can simplify it

$V=x^3+x^2-9x-9$

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

$V=x^3+x^2-9x-9=1001$

now, we can factor it

$\left(x-10\right)\left(x^2+11x+101\right)=0$

$x-10=0$

$x=10$

(b)

we are given volume

so, we can set

$V=14\frac{5}{8}=\frac{14\times 8+5}{8}$

$V=\frac{117}{8}$

and then we can solve for x

$V=x^3+x^2-9x-9=\frac{117}{8}$

now, we can factor it

$8x^3+8x^2-72x-189=0$

$\left(2x-7\right)\left(4x^2+18x+27\right)=0$

$2x-7=0$

$x=\frac{7}{2}$

8 0

3 years ago

A car is traveling at 75 mi/hour. What is the car's speed in feet per second?

kirza4 [7]

<span>A foot per second is a unit of speed. Something traveling one foot per second is traveling 0.3048 meters per second, or about 0.682 miles per hour. hope this helped please mark me as the brainliest answer

</span>

8 0

3 years ago

Read 2 more answers

rhombus has sides of length 10 cm. and the angle between two adjacent sides is 76 degrees. Find the lengths of the other diagona

lisabon 2012 [21]

Let the length of one of the diagonals be 2x and the other be 2y, then
cos (76/2) = x/10
x = 10 cos 38 = 7.88 cm

sin (76/2) = y/10
y = 10 sin 38 = 6.16 cm

3 0

3 years ago

9(2.3n+6)+10.45>43.7

kifflom [539]

Answer:

Step-by-step explanation:

9(2.3n+6)+10.45>43.7

(9*2.3n)+(9*6)+10.45>43.7

20.7n+54+10.45>43.7

20.7n+64.45>43.7

7 0

3 years ago

I need the know the answer in A B C because I’m confused

bulgar [2K]

Answer:

Step-by-step explanation:

a) edj

b) ed

c) i think ag

4 0

2 years ago