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inn [45]
3 years ago
13

what is the equation for the line that passes through the given point and is parallel to the graph of y=2/3x+19; (-9, 4)​

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

Step-by-step explanation:

We're given the line

y = \frac{2}{3}(x) + 19

The slope of the line is \frac{2}{3}

We have to find another line with the same slope that goes through the point

(-9, 4). We can solve this by using

y = mx + b\\y = \frac{2}{3}(x) + b\\4 = \frac{2(-9)}{3} + b\\4 = -6+ b\\b = 10\\\\y = \frac{2}{3}(x) + 10

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3 0
3 years ago
Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza. Mary received a gift card of $11
stepan [7]

Answer:

a)Amount of money left on Keith's card in dollars = $90 - $15x

= $(90 - 15)

b) Amount of money left on Mary's card in dollars= $110 - $20x

= $(110 - 20x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$90 - 15x = $110 - 20x

Step-by-step explanation:

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Keith

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Keith's card after purchasing x pizzas =

$90 - $15x

For Mary,

Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.

Hence, x number of pizzas cost =$20 × x

= $20x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$110 - $20x

Amount of money left on Keith's card in dollars = __________

Amount of money left on Mary's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$90 - 15x = $110 - 20x

Collect like terms

-15x + 20x = $110 - $90

5x = 20

x = 20/5

x = 4

Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.

5 0
4 years ago
What is the opposite integer of-11
umka2103 [35]
Positive 11................
4 0
4 years ago
Read 2 more answers
If f(x)=6^3x-4 and g(x) = 2x+2 find (f-g)(x)
natima [27]

Answer:

5x+3

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   =2x−6+3x+9=5x+3

Hope this helped

4 0
4 years ago
A photographer will arrange 6 people of 6 different heights for a photograph by placing them in two rows of three so that each p
Svetllana [295]

Answer:5

Step-by-step explanation:

This can be solved by fixing the position of shortest and tallest person in the first and second row respectively .

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4 years ago
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