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2 years ago

(08.03) Consider the following pair of equations:

Mathematics

1 answer:

Luba_88 [7]2 years ago

6 0

Substitution method is used to solve the linear system of equations for one or more variables.

Consider the first equation y = 3x + 3 -----(1)

In equation (1) plug in y=x-1, we get

x -1 = 3x + 3

Add -3x on both side , we get

x-3x -1 = 3x-3x +3

-2x-1=0 + 3

Now add +1 on both sides, we get

-2x-1+1= 3+1

-2x + 0 =4

Now divide both side by -2

-2x/-2= 4/-2

X= -2

Now put x=-2 in the the second equation,

y=x-1

y=(-2)-1

y=-3

Solution(-2,-3)

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The average cost of printing a book in a publishing company is c(x) =, <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5.5x%2Bk%7

Bogdan [553]

To find K, we must use the fact that
on the day 200 books were printed
the average cost was $ 9 per book.
Thus, substituting the values, we have:
c (x) = (5.5x + k) / (x)
9 = (5.5 (200) + k) / (200)
Clearing K
(200) * 9 = 5.5 (200) + k
k = (200) * 9 - 5.5 * (200)
k = 700
answer
the value of the constant k is 700

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3 years ago

Read 2 more answers

Please answer the question from the attachment.

bezimeni [28]

Look at the cars mpg (miles per gallon) then multiple it by 15

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2 years ago

You buy 1.75 pounds of apples and 2.05 pounds of oranges. Apples and oranges sell for the same price per pound. The total cost,

dlinn [17]

Answer:

$1.75c+2.05c=4.18\\\\Per\ pound\ cost=c=\$1.1$

Step-by-step explanation:

$Cost\ of\ per\ pound\ apple=Cost\ of\ per\ pound\ oranger=c\\\\$

Cost of Apples:

$Amount\ of\ apples=1.75\ pounds\\\\Cost\ of\ apples=Amount\times per\ pound\ cost\\\\Cost\ of\ apples=1.75\times c\\\\Cost\ of\ apples=1.75c$

Cost of oranges:

$Amount\ of\ oranges=2.05\ pounds\\\\Cost\ of\ oranges=Amount\times per\ pound\ cost\\\\Cost\ of\ oranges=2.05\times c\\\\Cost\ of\ oranges=2.05c$

Total cost:

$Total\ cost\ of\ fruits=cost\ of\ apple+cost\ of\ oranges\\\\Total\ cost\ of\ fruits=1.75c+2.05c\\\\After\ coupon\ cost=\$ 3.43\\\\ Original\ cost=After\ coupon\ cost+coupon\ amount\\\\ Original\ cost=3.43+0.75=4.18$

$1.75c+2.05c=4.18\\\\3.8c=4.18\\\\c=\frac{4.18}{3.8}\\\\c=1.1\\\\Per\ pound\ cost\ of\ fruits=\$1.1$

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2 years ago

Propane is stored in a cylindrical tank with a diameter of 15 inches and a height of 48 inches. Which equation could be used to

Virty [35]

Step-by-step explanation:

remember. the radius is always half the diameter.

volume of a cylinder

pi × r² × height

pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³

volume of a sphere

4/3 × pi × r³

and that volume should be the same as the cylinder. so,

4/3 × pi × r³ = pi×56.25×48

4/3 × r³ = 56.25 × 48

1/3 × r³ = 56.25 × 12

r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025

$r = \sqrt[3]{2025}$

which would be 12.65148998... in.

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1 year ago

Factor Completely : 3x^3 -12x

Thepotemich [5.8K]

The answer you're looking for will be,
ANSWER: 3x(x + 2)(x - 2)

You're welcome.

STEPS:
#1. Factor out common term 3x.

7 0

2 years ago