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Lemur [1.5K]
3 years ago
8

Find the intercepts of 6x – 2y = -24.

Mathematics
1 answer:
viva [34]3 years ago
7 0
The intercepts are where the line crosses the x and y axises

the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0


so find them by setting other to zero

xint, y=0
6x-0=-24
6x=-24
divide 6
x=-4
xint is x=-4

yint, x=0
0-2y=-24
-2y=-24
divide -2
y=12
yint is y=12





xint: x=-4
yint: y=12

given options A.x=4, y=-12 B.x=-12, y=4 C.x=-4, y=12 D. x=12, y=4

the answer is C


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Find the zeros of the following polynomial.<br> 3x3 + 9x2 - 12x
Arada [10]
x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

8 0
3 years ago
Read 2 more answers
Please help asap 25 pts + brainliest to right/best answer
patriot [66]

Look at the picture.

<h3>Answer: d. (-3, 1)</h3>

4 0
4 years ago
Which ordered pair is a solution to the inequality?<br><br> Help please!!
Murrr4er [49]

Choice A is the answer which is the point (1,-1)

=========================================

How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

-------------

checking choice A

plug in (x,y) = (1,-1)

y - 2x \le -3

-1 - 2(1) \le -3

-3 \le -3

This is true because -3 is equal to itself. So this is the answer.

-------------

checking choice B

plug in (x,y) = (2,4)

y - 2x \le -3

4 - 2(2) \le -3

0 \le -3

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

-------------

checking choice C

plug in (x,y) = (-2,3)

y - 2x \le -3

3 - 2(-2) \le -3

7 \le -3

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

-------------

checking choice D

plug in (x,y) = (3,4)

y - 2x \le -3

4 - 2(3) \le -3

-2 \le -3

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.


4 0
3 years ago
NEED HELP QUCKILY PLZ HURRY
wariber [46]

I want to say 17 but I don't know for sure

4 0
3 years ago
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Which equation matches the graph of the greatest integer function given below?? help pleaze
Alex787 [66]
The correct answer is C
4 0
4 years ago
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