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3 years ago

Which table represents a linear function

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

Table D represents a linear function.

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−7x−50≤−1 AND−6x+70>−2

fgiga [73]

Answer:

$-7\geq x$ and $[-7,12)$ in interval notation.

Step-by-step explanation:

We have been given a compound inequality $-7x-50\leq -1\text{ and }-6x+70>-2$ . We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

$-7x-50\leq -1$

$-7x-50+50\leq -1+50$

$-7x\leq 49$

Dividing by negative number, flip the inequality sign:

$\frac{-7x}{-7}\geq \frac{49}{-7}$

$x\geq -7$

$-6x+70>-2$

$-6x+70-70>-2-70$

$-6x>-72$

Dividing by negative number, flip the inequality sign:

$\frac{-6x}{-6}$

$x$

Upon merging both intervals, we will get:

$-7\geq x$

Therefore, the solution for our given inequality would be $-7\geq x$ and $[-7,12)$ in interval notation.

7 0

3 years ago

The standard form of a linear equation is Ax + By = C. Rewrite this equation in slope-slope-intercept form. What is the slope? W

myrzilka [38]

Standard form is Ax + By = C, or By = C - Ax.

Dividing both sides by B, we get y = C/B - (A/B)x

Here the y intercept is C/B, and the slope is -A/B.

4 0

3 years ago

A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a

Mamont248 [21]

Answer

Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.

Step-by-step explanation:

5 1

2 years ago

The math department wants to sell pie slices to buy new math books. Each pie was cut into six slices. Two of the pies will be se

mars1129 [50]

We know that

Each pie was cut into six slices
there are a total of 48 pieces-----> divide by six to find the number of pies
48/6----> 8 pies

Two of the pies will be served to members of the department as courtesy
so
subtract 2 to the total of pies to find the pies available for sale
whole pies available for sale=8-2-----> 6 pies

the answer is
6 pies

7 0

2 years ago

Read 2 more answers

At the zoo there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there

Alex777 [14]

lions = x

monkeys = 3x ( 3 times as many )

3x +x = 24

4x = 24

x = 24/4

x = 6

6 lions

6*3 = 18 monkeys

3 0

3 years ago