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3 years ago

Solve the equation below. Simplify if necessary.

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

15 1/6

Step-by-step explanation:

change -8 2/3 into an improper fraction = -26/3

-4/7v = -26/3

cross-multiply:

3(-4v) = (-26)7

-12v = -182

v = 182/12

v = 15 1/6

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1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0

3 years ago

What is 8.51 x 104 in standard form?

notsponge [240]

I think the answer would be 85.1

8 0

2 years ago

Read 2 more answers

What is the Volume if the Mass = 35g and Density = 5g/cm^3 ?

VLD [36.1K]

density = mass / volume

4 = 35 / v

v = 35/4 = 8.75 cm^3

6 0

3 years ago

Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.

alexira [117]

Answer:

The correct answer is if you want no roots in the denominator, the correct answer is $\frac{2x}{y}$ * $\sqrt[3]{2y^{2} }$

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when $y^{2}$ is taken out.

5 0

2 years ago

Beg someone help please

dem82 [27]

Answer:

a=-26,b=-10,c=-1,d=-2

Step-by-step explanation:

when x=-3

y=-(-3)^2 +4(-3)-5=a

a=-9-12-5

=-14-12

=-26

when x=-1

y=-(-1)^2 +4(-1)-5=b

=-1-4-5

b=-10

when x=2

y=-(2)^2 +4(2)-5=c

=-4+8-5

=-9+8

c=-1

when x=3

y=-(3)^2 +4(3)-5=d

=-9+12-5

=-14+12

d=-2

6 0

3 years ago

Read 2 more answers