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marin [14]
4 years ago
11

Question- Dan and Perry each improved their yards by planting rose bushes and shrubs.They bought their supplies from the same st

ore. Dan spent $17 on 1 rose bush
and 7 shrubs. Perry spent $49 on 7 rose bushes and 14 shrubs. What is the cost of
one rose bush and the cost of one shrub?
Options
A) rose bush: $2, shrub $4
B) rose bush: $4 shrub. $4
C) rose bush: $3, shrub: $2
D) rose bush: $2, shrub S3
Mathematics
2 answers:
Sladkaya [172]4 years ago
4 0
C because if the 1 rose bush was $3, 17-3=14 and 14 divided by 7 is 2 meaning that the shrubs are $2 each
maks197457 [2]4 years ago
3 0

Answer:I think its c

Step-by-step explanation:

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fomenos

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d

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Mumz [18]

Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

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The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

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Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

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Step-by-step explanation:

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