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garik1379 [7]
3 years ago
6

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "le

ss than/less than or equal to" will change the way you solve the problem, depending on which sign it is.
True
False
Mathematics
1 answer:
Alex73 [517]3 years ago
7 0
It is true hopes this helps you
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Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)
alex41 [277]

Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

4 0
3 years ago
there are 70 students in the school band. 40% of them are sixth graders, 20 % are seventh graders, and the rest are eight grader
zheka24 [161]

Answer:

28 are 6th

14 and 7th

40% are 8th

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find all values of x in the interval [0,2π] that satisfy the equation sin2x=cosx. enter your answers as a list of numbers separa
yuradex [85]

\sin(2x)  =  \cos(x)  \\ 2 \sin(x)  \cos(x) =  \cos(x)  \\  \cos(x) (2 \sin(x)  - 1) = 0
so
\cos(x)  = 0 >  >  > x =  \frac{\pi}{2}  + k\pi \\  \sin(x)  =  \frac{1}{2}  >  >  > x =  \frac{\pi}{6}  + 2k\pi \\ or \: x =  \frac{5\pi}{6}  + 2k\pi
x =  \frac{\pi}{2} or \frac{3\pi}{2} \\  x =  \frac{\pi}{6} or \frac{5\pi}{6}
6 0
3 years ago
Part b evaluate each expression if b = 3 5 b + 9 + 8B + 22 + 8 + 4​
MrRissso [65]

Answer: 80

Step-by-step explanation: multiple b(3) with everything its next to, then add it all up

5 0
2 years ago
Read 2 more answers
Find y when x=10 if y=8 when x=20
Gelneren [198K]

Answer:

16

Step-by-step explanation:

10=8

20=y

10*y = 8*20

10y= 160

y=16

3 0
3 years ago
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