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Aleks04 [339]
2 years ago
7

Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

Mathematics
1 answer:
vichka [17]2 years ago
4 0

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

3x - 4 = 5 \frac{1}{3}x  - 4

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

9x - 12 = 6 x - 12

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

y =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

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Alex Ar [27]

Answer:

A=670

B=301,600

C=560

Step-by-step explanation:

A is K divided by the wavelength (m) 301,500 / 450

B is wavelength(m) multiplied by the Frequency (Thz) 520x580

C is K divided by the Frenquency (Thz) 302400 / 540

4 0
3 years ago
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-5 -(15y - 1) = 2(7y - 16) -y
Luda [366]
-5-(15y-1) = 2(7y-16) - y  // question
-5-15y+1 = 14y-32-y  // distribute
-15y - 4 = 13y - 32    // subtract
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7 0
3 years ago
Match each problem to its solution 8,8.2,9,56.25
Mekhanik [1.2K]

The computation shows that the amount will be:

  • $56.25.
  • $9
  • 8
  • 8.2 pounds

<h3>How to compute the values?</h3>

Jonah earns $12.50 per hour

He works for 4.5 hours

Amount he earned will be:

= 12.50 × 4.5 = $55.25

Items worth is $41.23

Amount paid is $50.23

Extra amount paid will be:

= 50.23 - 41.23

= $9

Length of cloth available is 20 m

Length of one long-sleeved blouse is 2.5m

Number of blouses that can be made will be:

= 20/2.5 = 8

Potatoes weight is 3.2 pounds

Oranges weight is 2.3 pounds

Onions weight is 2.7 pounds

Total weight of the purchase will be:

= 3.2 + 2.3 + 2.7 = 8.2 pounds

Learn more about the computation of amount on:

brainly.com/question/20038451

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<u>Complete question:</u>

Match each problem to its solution. 8 8.2 9 56.25 Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn? arrowRight Jessica purchased items worth $41.23 at the local grocery store. The cashier made a mistake while ringing up her items, and Jessica ended up paying $50.23. How many extra dollars did she pay? arrowRight Josie has 20 meters of cloth. She needs to make long-sleeved blouses with that cloth. If one long-sleeved blouse requires 2.5 meters of cloth, how many blouses can she make with the material? arrowRight Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh? arrowRight

3 0
2 years ago
One way to show that two triangles are similar is to show that
avanturin [10]

Answer:

show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

Step-by-step explanation:

7 0
3 years ago
An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
3 years ago
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