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Delvig [45]
4 years ago
13

Identify the slope and y-intercept: y = -1/5x+12 Slope: y-intercept:

Mathematics
1 answer:
ipn [44]4 years ago
8 0

Answer:

Slope: -1/5  y-intercept: 12

Step-by-step explanation:

y = -1/5x + 12

The equation given is the slope-intercept form, y= mx + b

In this equation, the m, or number in front of the x, is the slope of the line.

The b in the equation represents the y-intercept.

Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.

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b. True
c. True
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3 years ago
Solve the inequality. Enter any fractions as reduced improper fractions. 4x ≤ -2/5(6x + 6) The solution is _____​
Deffense [45]

Answer:

x≤ -3/8

Step-by-step explanation:

4x\le \:-\frac{2}{5}\left(6x+6\right)\\

Expand ;

\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}

4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x

Simplify

\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}

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4 years ago
Determine the average rate of change for the graphs below!
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3 years ago
Out of 139 seventh graders 86 voted math as their favorite subject. What percent is this
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3 0
4 years ago
GIVING BRAINLIEST TO WHOEVER CAN GIVE THE RIGHT ANSWER
jeyben [28]

Answer:

B ∪ C =  (-∞, ∞)

B ∩ C = [1, 7)

Step-by-step explanation:

B ∪ C:  The union of two sets or intervals is the set of elements which are in <em>either </em>set.  

B ∩ C:  The intersection of two sets or intervals is the set of elements which are in <em>both </em>sets.

<u>Interval notation symbols</u>

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

  • B = {z | z ≥ 1}
  • C = {z | z < 7}

Therefore,

B = [1, ∞)

C = (-∞, 7)

Therefore,  B ∪ C =  (-∞, ∞)

As z is either less than 7, or equal to or more than 1 then the intersection is:

B ∩ C = {z | 1 ≤ z < 7} = [1, 7)

6 0
2 years ago
Read 2 more answers
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