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Karo-lina-s [1.5K]
3 years ago
10

Determine weather either of the points (-1,-5) and (0,-2) is a solution to the given system of equation

Mathematics
1 answer:
Anika [276]3 years ago
4 0
Only the first one works
y = 3(-1)-2 = -5
y = -(0) -6 = -6 not  -2 

This is a substitution problem...
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Find the x- and y-intercepts of the line<br> (-6.-6), (2, -4)<br> The x-intercept is
Marianna [84]

Answer:

x-int = 18

y-int = -9/2

Step-by-step explanation:

Use slope-intercept form y=mx + b

To find the slope, substitute the two points into the slope formula and solve.

m  = \frac{y2 - y1}{x1 - x1} \\m  = \frac{-4 - (-6)}{2 - (-6)} \\m = \frac{2}{8}\\m= \frac{1}{4}

Substitute a random point (2,-4) and m=1/4 into slope-intercept form

y = mx+b

-4 = 1/4 (2) + b

-4 = 2/4 + b

-4 = 1/2 + b

Isolate b to solve

b = -4 - 1/2

b = -8/2 - 1/2

b = -9/2    <= this is the y-intercept

b is the y-intercept in slope-intercept form

Substitute b= -9/2 and m=1/4 to get the equation of the line.

y = 1/4 x - 9/2

Substitute y for 0 to find the x intercept

y = 1/4 x - 9/2

0 = 1/4 x - 9/2

9/2 = 1/4 x

x = (9/2) / (1/4)

x = (9/2) X (4/1)

x = 36/2

x = 18

4 0
3 years ago
Which ones are rational
Alenkasestr [34]
A rational number is a number that can be made by dividing two integers. An integer is a number that doesn't have a fraction part.

1. 2.4 - rational
2. 74 - rational
3. 17.3333333… - rational
4. π -irrational
5. there is no number
6. –18 - rational
7. there is no number
8. 87.125 - rational
9. –30 - rational
10. –8.3 -rational
11. 58.25 -rational
12. 121 -rational
13. 4.5 -rational
14. 3 7/10 -rational

As you can see, most numbers are rational. But, when you come across pi or when you have a decimal that goes on forever without repeating (like some square roots), it tends to be irrational.
3 0
3 years ago
For the linear function ƒ(x) = 7x – 4, find the range of ƒ(x) at x = –2, 0, and 2.
Tomtit [17]

Answer:range is -2

Step-by-step explanation:

5 0
3 years ago
Given two temperatures, 39 °F and 51 °F, which of the following correctly compares the number of chances for particles to bounce
spin [16.1K]
The answer to this question would be: 
<span>Lower at 39 °F

The kinetic energy of a molecule is influenced by temperature. Higher temperature will result in higher kinetic energy which means the molecule moves at a higher velocity. This will increase the chance of the chemical reaction. That is why the rate of reaction will be higher at the higher temperature. Then, a lower temperature will mean a lower speed too.</span>
3 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points (-4, -7)
Firlakuza [10]

Step-by-step explanation:

To find the equation of the line in slope intercept form, we must have the slope and the y intercept. Finding the slope is easy:

So now we want the y intercept. We can use either points to do this, so for simplicity let's use the second one since the numbers are smaller. First of all, we have:

y=-3x+b. Plugging in 6 for x and 2 for y we have, 2=-18+b which means b=20. Checking our answer we have:

y=-3x+20 which means 8=-3*4+20, which is true. So our equation is indeed y=-3x+20

PLZ MARK BRAINLEST

6 0
3 years ago
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