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My name is Ann [436]
3 years ago
9

URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——

Mathematics
1 answer:
valkas [14]3 years ago
4 0
<h3>Answer:  Q = 8</h3>

====================================================

Explanation:

The left hand side of the first equation is x-3y

The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y

If we multiply both sides of the first equation by 2, we get

x-3y = 4

2(x-3y) = 2*4

2x-6y = 8

Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.

We can say each solution is in the set {(x,y): x-3y = 4}

Which is the same as saying each solution is of the form (3y+4,y)

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Last year, there were 148 pies baked for the bake sale. This year, there were c pies baked. Using c, write an expression for the
solniwko [45]

\huge{\boxed{c+148}}

We need to find the number of pies baked in years 1 and 2.

There were 148 pies baked in year 1. 148

There were c pies baked in year 2. 148+c

Rearrange the terms so the variable is first. c+148

5 0
3 years ago
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Find any points of discontinuity for the rational function.What are the points of discontinuity? Are they all removable?
UkoKoshka [18]
Hello,
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7 0
3 years ago
How do I get this form?
serg [7]

Short answer: you don't.

The linear term in the numerator of the integral means the form shown is not applicable. Rather, you perform the integration using partial fraction expansion.

\displaystyle\int{\frac{5x+1}{25x^2+60x-13}}\,dx=\int{\frac{5x+1}{(5x-1)(5x+13)}}\,dx\\\\=\frac{1}{35}\int{\frac{5}{5x-1}}\,dx+\frac{6}{35}\int{\frac{5}{5x+13}}\,dx

The integral is ...

... (1/35)ln|5x-1| +(6/35)ln|5x+13| +C

_____

If the numerator of your integral were a constant, then the fractions multiplying the separate partial fraction integrals would have the same magnitude and opposite signs. You would end with the difference of logarithms, which could be expressed as the log of a ratio as shown in your problem statement.

6 0
3 years ago
Find the slope of the line
matrenka [14]

Answer:

1

Step-by-step explanation:

To find the slope of the line, use the equation:

slope = \frac{y_2-y_1}{x_2-x_1}

Let's find 2 obvious points on the line

(5,5) and (10,10)

Since (10,10) comes after (5,5), this will be our (x_2,y_2)

(5,5) will be our (x_1,y_1)

Let's Solve!

\frac{10-5}{10-5} =\frac{5}{5} =1

1

Therefore, our slope is 1

8 0
2 years ago
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Bad White [126]

Answer:

$108

Step-by-step explanation:

Number of Cartons of Ice Cream=19

Cost Per Carton of Ice Cream=$6

Total Ice Cream Cost = $6 X 19 =$114

Number of Cartons of Yoghurt=3

Cost Per Carton of Yoghurt=$2

Total Yoghurt Cost = $3 X 2 =$6

The difference in cost=Total Ice Cream Cost-Total Yoghurt Cost

=114-6

=$108

Brenda spent $108 more on ice cream than on yogurt

8 0
2 years ago
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