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Paladinen [302]
3 years ago
11

Consider the following pair of equations:

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

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In a list of expenses for a budget , which should be included ?
Vinil7 [7]
A and D is the answers that I would choose 


8 0
3 years ago
If f(x)=3x-6 then find f(4)
masya89 [10]

Answer:

f(4) = 6

Step-by-step explanation:

f(x) = 3x - 6

f(4) = 3(4) - 6

f(4) = 12 - 6

f(4) = 6

8 0
3 years ago
Which of the following relations is NOT a function?
Alexxandr [17]

Answer:

It is A.

Step-by-step explanation:

In function A we see that there are 2 ordered pairs with value 2 in the first position with y values 6 and 2. So this is not a function.

5 0
3 years ago
What is<br> 1/6<br> as a decimal?<br> Give your answer rounded to 3 decimal places.
Pie

Answer:

0.16

Step-by-STep explanation:

0.16

3 0
3 years ago
Read 2 more answers
The left and right page numbers of an open book are two consecutive integers whose sum is 335 find these page numbers.
almond37 [142]

Answer:

167 and 168

you divide 335 by 2, you get 167.5

so it's gonna be either 166 and 167 or 167 and 168

then you add up 166 and 167, you get 333 (so this is not the answer)

it means the answer is <u>1</u><u>6</u><u>7</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>1</u><u>6</u><u>8</u> (167+168=335)

hope it helped, sorry for my bad english

if something is not clear, write a comment I'll answer

3 0
2 years ago
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