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4 years ago

14

How do you graph the function f(x)=−1/4x−2?

1 answer:

Georgia [21]4 years ago

4 0

Welll the y-intercept is negative 2 so on the y axis the first point is negative 2. 1/4 is the rise over run so you would go up from your first point one unit and over to the left four units or vise versa down one unit and over to the right four units, or the image

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Jake can mulch a garden in 30 minutes. together, jake and ross can mulch the same garden in 16 minutes. how much time t, in minu

Gelneren [198K]

"Jake can mulch a garden in 30 minutes." So, for 1 min Jake can mulch 1/30 part of a garden.

Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.

If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.

At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.

Now, we can write an equation

$\frac{1}{30} + \frac{1}{x} = \frac{1}{16} \\ \\ \frac{1}{x} = \frac{1}{16} - \frac{1}{30} \\ \\ \frac{1}{x} =\frac{30-16}{16*30} \\ \\ \frac{1}{x} =\frac{14}{16*30} \\ \\x=\frac{16*30}{14}$

x≈34.3 (min)

8 0

3 years ago

What is the sum of the interior angles of the polygon shown below?

borishaifa [10]

Answer:A quadrilateral always has a sum of 360o in total.

4 0

3 years ago

Read 2 more answers

29/3 into a mixed fraction

garri49 [273]

Answer: 29/3 into a mixed fraction would be 9 2/3

I hope I helped you. Have a great day!

Step-by-step explanation:

Simplify:

29/3 = 9 2/3

6 0

2 years ago

**The expression (3x^2 + 5x - 12) - 2(x^2 + 4x + 9) is equivalent to which of the following?

kramer

Answer:

x^2 - 3x - 30

Step-by-step explanation:

step 1: -9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6

9 + 1 = 10

No two factors can be found

Trinomial can not be factored

step 2: ((3x2 + 5x) - 12) - 2 • (x2 + 4x + 9)

step 3: -30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1

-3 + 10 = 7

-2 + 15 = 13

-1 + 30 = 29

so the answer is x^2-3x-30

7 0

3 years ago

. Use the grid on the right.

timofeeve [1]

Answer with Step-by-step explanation:

We are given that

O(0,0),P(3,-1) and Q(2,3) on the coordinate plane.

Mark point O(0,0), P(3,-1) and Q(2,3) on the graph and then join OP,PQ and OQ.

b.We have to find OP and OQ are perpendicular or not.

Slope-formula: $m=\frac{y_2-y_1}{x_2-x_1}$

By using the formula

Slope of OP= $\frac{-1-0}{3-0}=-\frac{1}{3}$

Slope of OQ= $\frac{3-0}{2-0}=\frac{3}{2}$

When two lines are perpendicular then

Slope of one line= $-\frac{1}{slope\;of\;other\;line}$

Slope of line OP $\neq -\frac{1}{slope\;of\;line\;OQ}$

Hence, line OP and OQ are not perpendicular.

3 0

3 years ago