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maksim [4K]
3 years ago
8

-6x + 1 > -23 which value of x is in the solution set of the inequality

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0
-6x + 1 > -23 <=>

-6x > -24 <=>

x < 4
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The points(0,2) and (4,-10) lie on the same line and the points (-5,-3) and (2,11) lie on another line. Determine by graphing wh
joja [24]
You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.

If this were homework or a test, you'd get full credit only if you follow the directions given.

If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or   m =-3.  Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.

If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:

m = 14/7 = 2.  Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.

Where do the 2 lines intersect?  Set the 2 equations equal to one another and solve for x:

</span>y = -3x + 2 = y = 2x + 7.  Then 5x = 5, and x=1.

Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.

That results in the point of intersection (2,9).

Doing this problem by graphing, on a calculator, produces a different result:  (-1,5), which matches D.

I'd suggest you find and graph both lines yourself to verify this.  If you want, see whether you can find the mistake in my calculations.

3 0
3 years ago
The product of 2 consecutive positive odd integers is 483. Write the equation that would be used to find x, the smaller integer.
Montano1993 [528]

Answer: 21

Step-by-step explanation:

Let the consecutive odd numbers be represented by x and x+2. Therefore,

x × (x+2) = 483

x² + 2x = 483

x² + 2x - 483 = 0

x² + 23x - 21x - 483 = 0

x(x + 23) - 21(x + 23) = 0

(x - 21) = 0

x = 0 + 21

x = 21

The smaller integer is 21

The larger integer is 21 + 2 = 23.

5 0
2 years ago
Jenni is comparing the cost of two packages of socks. One package has 8 pairs of socks for $12. Another package had 3 pairs of s
Oksi-84 [34.3K]
No, because if you add on 6 more dollars to package 2 you would only have 6 socks for 12 dollars and on package A you would have 8 pairs for 12 dollars.
8 0
3 years ago
Read 2 more answers
What type of number is -100​
Harlamova29_29 [7]

Answer:

The number -100 is a rational number and an integer

3 0
2 years ago
B = 4 and c = -5, evaluate b 2 - c 2
NISA [10]

Hey!

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

Steps To Solve:

~Substitute

(4)2 - (-5)2

~Multiply

8 - (-10)

~Subtract

18

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

Answer:

18

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

Hope This Helped! Good Luck!

4 0
3 years ago
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