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sergij07 [2.7K]
3 years ago
5

If x= -8 and y=-4​, evaluate the expression.

title="\frac{3x-4}{y-3}" alt="\frac{3x-4}{y-3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0

Your answer would be 4.

If we substitute in x = -8 and y = -4 into the expression, we get:

\frac{3(-8) - 4}{-4 - 3}

This then becomes:

\frac{-24 - 4}{-7} = \frac{-28}{-7} = 4.

I hope this helps!

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The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning
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3 years ago
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear fun
grandymaker [24]

Answer:

  • y = 260x + 700
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Step-by-step explanation:

<u>We can describe it as a linear function with points of:</u>

  • (5, 2000) and (15, 4600)

<u>Slope intercept formula:</u>

  • y = mx +b

<u>Finding the slope using the two given points:</u>

  • m = (4600-2000)/(15-5) = 2600/10 = 260

<u>Finding b:</u>

  • 2000 = 5*260 + b
  • b = 2000 - 1300 = 700

<u>Formula obtained:</u>

  • y = 260x + 700

<u>For x = 20, value of y is:</u>

  • y = 260*20 + 700 = 5200+700 = $5900
5 0
3 years ago
Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the c
Alla [95]

Answer:

chef salads = $2

turkey sandwiches = $1

Step-by-step explanation:

two equations can be derived from the question

13t + 69c = 151 eqn 1

61t + 41c = 143 eqn 2

t = turkey sandwiches

c = chef salads

multiply equation 1 by 61 and equation 2 by 13

793t + 4209c = 9211 eqn 3

793t + 533c = 1859 eqn 4

subtract equation 4 from 3

7352 = 3676c

c =2

substitute for c in equation 1

13t + 69(2) = 151

13t + 138 = 151

13t = 151 - 138

13t = 13

t = 1

3 0
3 years ago
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