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3 years ago

Y=3[x]+1 Step by step

Mathematics

1 answer:

finlep [7]3 years ago

7 0

y=3x+1

Use the slope-intercept form to find the slope and y-intercept

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Find the values of m

and b using the form y=mx+b

m=3

b=1

The slope of the line is the value of m

, and the y-intercept is the value of b

Slope: 3

Y-Intercept: 1

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Choose 0

to substitute in for x

to find the ordered pair.

Replace the variable x

with 0

in the expression.

f(0)=3(0)+1

Simplify the result.

Tap for more steps...

The first point is (0,1)

(0,1)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for fewer steps...

Replace the variable x

with 1

in the expression.

f(1)=3(1)+1

Simplify the result.

Multiply 3

by 1

f(1)=3+1

Add 3

and 1

f(1)=4

The final answer is 4

The second point is (1,4)

(1,4)

Create a table of the x

and y

values.

xy0114

Graph the line using the slope and the y-intercept, or the points.

Slope: 3

Y-Intercept: 1

xy0114

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hree vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)

zhannawk [14.2K]

V1=(-2,4)=(x1,y1)→x1=-2, y1=4
V2=(4,0)=(x2,y2)→x2=4, y2=0
V3=(2,-3)=(x3,y3)→x3=2, y3=-3
V4=(x4,y4)→x4=?, y4=?

V1-V2
dx=x2-x1=4-(-2)=4+2→dx=6
dy=y2-y1=0-4→dy=-4

V4-V3
dx=x3-x4→6=2-x4
Solving for x4:
6=2-x4→6-2=2-x4-2→4=-x4→(-1)(4=-x4)→-4=x4→x4=-4

dy=y3-y4→-4=-3-y4
Solving for y4:
-4=-3-y4→-4+3=-3-y4+3→-1=-y4→(-1)(-1=-y4)→1=y4→y4=1

V4=(x4, y4)→V4=(-4, 1)

Answer: The coordinates of the fourth vertex are (-4,1)

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3 years ago

A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N

Stolb23 [73]

Answer:

0.0764

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 33, \sigma = 0.7$

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?

This is the pvalue of Z when X = 32. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{32 - 33}{0.7}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0764, which is the correct answr

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4 years ago

I need help with Geometry

zepelin [54]

Answer:

The answer is 180 degrees.

Step-by-step explanation:

The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.

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3 years ago

Read 2 more answers

The length of a rectangle is 5 units more than the width, w. Which expression represents the area of the rectangle?

Slav-nsk [51]

You did not provide a list of expressions to select from.

Let A = area

Let w = width

Let (w + 5) = length

A = (w + 5)w

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3 years ago

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The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?

ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

The conversion rule is:

1 mile per hour = 1.467 feet per second

So, Speed in feet per second is:

1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

= 14.67 feet per second

So, 10 miles per second in feet per second is 14.67 feet per second

Keywords: Conversion of units

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3 years ago