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Andrew [12]
3 years ago
15

ALGEBRA-find the equation of a line passing through the given point and parallel to the given, write your answer in slope-interc

ept form. Answer all three
1. (-3,4) and y=-x+2

2. (-3,2) and y= -x+3

3. (-5,-5) and -x+2y=6
Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

1. find slope

2. plug points into formula

1.) y-4=-1(x+3)

2.)y-2=-1(x+3)

3.)2y=x+6

y=.5x+3

y+5=.5(x+5)

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When a number is decreased by 47%, the result is 20. What is the original number to the nearest tenth?
Naily [24]

Answer:

37.7

Step-by-step explanation:

n - 0.47n = 20

0.53n = 20

n = 37.7

4 0
2 years ago
In this scatterplot the individuals are states. The variable "cig" is the number of cigarettes sold per person in the state in 1
Ipatiy [6.2K]

Answer:

e= -5.41

Step-by-step explanation:

Hello!

In linear regression, a residual value is a distance between the observed values and the regression line.

The residual value (e) is calculated as the difference between the observed value (Y) and the predicted value (^Y).

e= Y - ^Y

e= 15.92 - 21.33 = -5.41

I hope it helps!

5 0
3 years ago
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
poizon [28]
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

<u>To solve this, we divide both sides by 1.29: </u>
</span>\frac{1.29x}{1.29}<span> ≤ </span>\frac{20}{1.29}<span>;
x ≤15.5.

We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
8 0
3 years ago
Read 2 more answers
A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round y
GaryK [48]
From V= 4/3*pi*r^3 
<span>dV/dt = 4pi(r^2)dr/dt </span>
<span>so when dV/dt=30 and r = 19 </span>
<span>30 = 4pi(361)dr/dt </span>
<span>dr/dt = 30/[4pi(361)] </span>

<span>now in </span>
<span>A = 4pir^2 </span>
<span>dA/dt = 8pi(r)dr/dt </span>
<span>= 8pi(19)*30/[4pi(361)] </span>
<span>= you finish it.</span>
<span>HOPE THIS HELPS.
</span>
3 0
2 years ago
Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p
OlgaM077 [116]

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

y=a\cdot (1-r\%)^{t}

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

y=a\cdot (1-r\%)^{t}

  =50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85

Thus, the correct option is, Exponential Decay, $23,914.85.

5 0
2 years ago
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