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kompoz [17]
3 years ago
5

Solve each system of equations by using substitution. x+4y=3 2x-3y=17

Mathematics
2 answers:
olganol [36]3 years ago
4 0
X + 4y = 3 x = -4y + 3
2x - 3y = 17

2(-4y + 3) - 3y = 17
-8y + 6 - 3y = 17
-11y + 6 = 17
-11y = 11
y = -1

x = -4(-1) + 3
x = 4 + 3
x = 7

(7, -1) is your answer
Keith_Richards [23]3 years ago
3 0
Equation\ 1--- x+4y=3 \\ \\ Equation\ 2---2x-3y=17 \\ \\ x=3-4y \\ \\ \\ \\ Substitude\ x\ into\ equation\ 2, \\ \\ 2(3-4y)-3y=17 \\ \\ 6-8y-3y=17 \\ \\ -11y=11 \\ \\ y=-1 Substitude\ y\ into\ equation\ 1, \\ \\ x+4(-1)=3 \\ \\ x=3+4 \\ \\ x=7
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Answer:

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Step-by-step explanation:

Let x represent Alysha's time to drive home from the market.

Speed and time are inversely proportional to each other (for the same distance), so we have ...

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It takes Alysha 3 minutes to drive home from the market.

3 0
3 years ago
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andrew11 [14]
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3 years ago
A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample
dezoksy [38]

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}

Where, \overline{x} is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

CI=12.2\pm 1.96\frac{2.4}{\sqrt{10}}

CI=12.2\pm 1.487535

CI=12.2\pm 1.488

CI=[12.2-1.488, 12.2+1.488]

CI=[10.712, 13.688]

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

4 0
3 years ago
What is the value of 4 to the power of 6 over 4 to the power of 8?
Angelina_Jolie [31]
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4 0
3 years ago
Read 2 more answers
Determine all the transformations that have happened to f(x) = (x + 4)2 + 2 compared to
Sav [38]

Answer:

Folow the steps to learn what transformations were determined.

Step-by-step explanation:

First we would have to graph the parent function which is f(x) = x^2. Start by finding your x and y values. Find the y values by plugging in the x values into the parent function.

X    Y

2    4

1     1

0    0

-1     1

-2    4

Once these points are plotted you can start determining what are the transformations. Find the difference between the parent function and f(x) = (x + 4)^2 + 2 by looking below.

Vertical Shifts:

f(x) + c moves up,

f(x) - c moves down.

Horizontal Shifts:

f(x + c) moves left,

f(x - c) moves right.

The parent function has to be transformed left 4 and up 2. In order to do this shift each point from earlier left 4 and then up 2. In conclusion you will have two functions graphed (parent function and the transformed function).

3 0
3 years ago
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