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astraxan [27]
3 years ago
8

Solve the following system of equations algebraically and check. y=x^2+3x+4 y-x=7

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0
Y=x^2+3x+4
y-x=7

x^2+3x+4-x=7
x^2+2x+4=7
(factor) x^2+2x-3=0
(x+3)(x-1)=0
X= -3 and X=1
(Plug x in for y)
Y= 1^2+3(1)+4
Y=8
(Check your answer on the second equation)
8-1=7
7=7 (Which is the solution)
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A used car is 34,000
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3 years ago
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only
Sladkaya [172]

Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

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50x - 40x = 20

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x = 20/10

x = 2

Hence,

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3 years ago
Which statement correctly compares the function shown on this graph with the function y=6x-1
zavuch27 [327]

Answer:

D.

Step-by-step explanation:

The function shown on the graph is y = 5x - 6 and it is being comapred to y = 6x - 1. The function shown on the graph has a smaller rate of change because 5x < 6x. The starting point of the function shown on the graph is also lower since - 6 < - 1.

4 0
3 years ago
Read 2 more answers
Please answer this, i am so confused
Virty [35]

The bag of dog food would last for 21 days.

The bag contains 42 cups of dog food. If the dog eats 2\frac{1}{3} cups everyday, the amount of cup in the bag decreases by 2\frac{1}{3} cups everyday. This can be represented with this expression: 42 - 2\frac{1}{3}d. Where d represents the number of days.

In order to determine the number of days in which the bag would be emptied, this equation can be used:

Number of days the dog food would last = number of cups in the cup / amount the dog eats each day

42 ÷ 2\frac{1}{3}

42 ÷ \frac{7}{3}

42 x \frac{3}{7} = 21 days

To learn more, please check: brainly.com/question/11801850?referrer=searchResults

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2 years ago
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You need to include the image of the question it doesn’t make sense if
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