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larisa86 [58]
3 years ago
14

13. For what value of b would the following system of equations have an infinite number of solutions?

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

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Step-by-step explanation:

y = 3x/3

y = x

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Lynomials and Linear Factors
kodGreya [7K]

Answer:

y = x³ + 2x² - 13x + 10

Step-by-step explanation:

Given

y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)

  = (x + 5)(x² - 2x - x + 2)

  = (x + 5)(x² - 3x + 2)

Multiply each term in the second factor by each term in the first factor

= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis

= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms

y = x³ + 2x² - 13x + 10

4 0
2 years ago
Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using P=x^2+10x-12
Vladimir79 [104]
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3 years ago
Which of the following data could be graphed using a dot plot?Select all that apply.
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Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
If FH = 9x + 15 and GH = 5x + 4,<br> then FG = ?
Tatiana [17]

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

4 0
3 years ago
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