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3 years ago

9

Which graph represents the relationship between the x-values and the y-values in the equation y = 3x + 2?

1 answer:

Gre4nikov [31]3 years ago

4 0

Answer:

c

Step-by-step explanation

because 2 is the y intercept and 3 is the slope so you plot (0,2) than do the slope.

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Find an equation to the line perpendicular to 4x + 36y =80 an goes through the point (3,6) write answer in form y= Mx+b

Veronika [31]

Answer:

$\textbf{y = 9x + 21 }\\$

Step-by-step explanation:

$\textup{Given equation is: $4x + 36y = 80 $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\$

$\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\$

$\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\$

$$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }$

8 0

3 years ago

Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is

joja [24]

Answer:

$16

Step-by-step explanation:

This method is probbaly working backwards. I'm not sure.

12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)

8 x 2 = 16 (They mentioned she spent half of her weekly allowance)

6 0

2 years ago

Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe

evablogger [386]

Answer:

Algebraic expression representing number of coffee B = 100-x

Step-by-step explanation:

An algebraic expression is an expression that contains unknowns denoted with alphabets or symbols and natural numbers.

Coffee blend is 100 pounds and x represent number of pounds of coffee A

Hence coffee B = 100-x

Algebraic expression representing number of coffee B = 100-x

8 0

2 years ago

Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year

Sati [7]

Birth=+600000
Death=-350000
Immigrants=+100000
emigrants=-5000

. Population Change:-

$\\ \sf\longmapsto 600000-350000+100000-5000=+350000$

Population:-

$\\ \sf\longmapsto 2000000+350000=2350000$

7 0

2 years ago

Read 2 more answers

What’s the quotient of 20 and 2

olasank [31]

the answer is 10 hoped this helped have a great day

5 0

3 years ago

Read 2 more answers