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Liono4ka [1.6K]
3 years ago
14

Solve the following system by the substitution method.1/4x+2/3y=-17/43x-y=3

Mathematics
1 answer:
madam [21]3 years ago
6 0
3x - y = 3.....3x - 3 = y

1/4x + 2/3(3x - 3) = -17/4
1/4x + 2x - 2 = -17/4 ...multiply everything by 4
x + 8x - 8 = -17
9x = -17 + 8
9x = - 9
x = -1

3x - y = 3
3(-1) - y = 3
-3 - y = 3
-3 - 3 = y
-6 = y

solution is (-1,-6)
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2 years ago
The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.
den301095 [7]

Answer:

x=2.4

Step-by-step explanation:

<u>Solving Equations Using Successive Approximations</u>

We need to find the solution to the equation

f(x)=g(x)

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The approximation has been already started and reached a state for x=2.5 where

f(2.5)=0

g(2.5)=2.5^2-6=0.25

The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)

Let's test for x=2.4

f(2.4)=-0.2

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The new difference is -0.2+0.24=0.04

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\boxed{x=2.4}

5 0
3 years ago
Here are two similar rectangles.
asambeis [7]

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7 0
3 years ago
In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average o
ivann1987 [24]
Larry needs to score 33 points in the last game to have an average of 25 PPG.

To find the answer, we can solve the equation:

\frac{(4)23+p}{5}=25

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To find the mean of a group of numbers, you add them all up and divide the total by the number of numbers there are. Since Larry averaged 23 PPG in 4 games, we can multiply 23 by 4 to get the total of the first 4 games from the data. Then, we find <em>p</em>, which we will add to get our final total. Then, you divide by the 5 games.

\frac{(4)23+p}{5}=25
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First, I simplified 4 x 23 to get 92. Then, I multiplied each side by 5 to get rid of the denominator. Finally, I subtracted 92 from each side to isolate <em>p</em>, and found that <em>p</em> = 33.


8 0
3 years ago
Read 2 more answers
Jada rode her bike at a constant speed for 3 hours. During that time, she traveled 7.2 miles. What was Jada's riding speed?
NeTakaya

Answer: 2.4 miles per hour

Step-by-step explanation: just do 7.2/3=2.4

or another way you could do this is do 2.4 x 3=7.2

3 0
3 years ago
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