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Julli [10]
2 years ago
13

A house painter used the equation y = 6.2x to determine the number of gallons of paint, y, needed to paint a number of houses, x

. Which table represents the equation?

Mathematics
1 answer:
lesya [120]2 years ago
5 0

Answer:

(2,12.4)  , (5,31),  (8,49.6)

Step-by-step explanation:

To Solve this problem, let substitute value  of x from given table into equation y = 6.2x and determine value of y .

For x = 2

y = 6.2x

=> y = 6.2*2 = 12.4

__________________________________________

For x = 5

y = 6.2*5

=> y = 31

__________________________________________

For x = 8

y = 6.2*8

=> y = 49.6

__________________________________________

Thus, second table represent the equation.

(2,12.4)  , (5,31),  (8,49.6)

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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
Nitella [24]

Answer:

C

Step-by-step explanation:

Given the logarithmic equation

\log_4x+\log_4(x-3)=\log_4(-7x+21)

First, notice that

x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

\log_4x+\log_4(x-3)=\log_4x(x-3),

then

\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3

Hence, x=3 and x=-7 are extraneous solutions

6 0
2 years ago
PLEASE HELP ASAP.. WILL FAN AND MEDAL
Komok [63]
C. 18.88 centimeters. Because with a tilted radius of 5.7. It ranges up. So it would be a higher number SLIGHTLY.
Hope this helps. 
4 0
3 years ago
Read 2 more answers
The number of cases of a new disease can be modeled by the quadratic regression equation y = -2x^2 + 40x + 8. What is the best p
Stels [109]

Answer:

158 cases

Step-by-step explanation:

Given tbe quadratic regression model :

y = -2x^2 + 40x + 8

y = number of cases of a new disease

x = number of years

The predicted number of cases of a new disease in 15 years can be calculated thus ;

Put x = 15 in the equation ;

y = -2(15)^2 + 40(15) + 8

y = - 2 * 225 + 600 + 8

y = - 450 + 600 + 8

y = 158

158 cases

5 0
2 years ago
Every month, Jim makes $49 less than his best friend Keenan.
ad-work [718]

Answer:

m+49=d ; d-49 = m

Step-by-step explanation:

Jim $ = m

Keenan $ = d

m+49=d ; d-49=m

btw please lmk if i get this wrong

6 0
2 years ago
Read 2 more answers
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state. The size of the
Ann [662]

The smallest county is 129 square miles large.

Step-by-step explanation:

Let,

Smallest county = x

Largest county = y

According to given statement;

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.

y = x+6064     Eqn 1

The size of the largest county is 48 times the size of the smallest county plus one square mile.

y = 48x+1         Eqn 2

As Eqn 1 and Eqn 2 are both equal to y, therefore,

Eqn 1 = Eqn 2

x+6064=48x+1\\6064-1=48x-x\\6063=47x\\47x=6063

Dividing both sides by 47

\frac{47x}{47}=\frac{6063}{47}\\x=129\ square \ miles

The smallest county is 129 square miles large.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/9328925
  • brainly.com/question/9184197

#LearnwithBrainly

7 0
3 years ago
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