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3 years ago

14

What is the slope of the line?

1 answer:

jarptica [38.1K]3 years ago

4 0

-3/2

slope = rise/run

We can use the two points to calculate rise (y value change) and run (x value change)

slope = (-6)/4 = -3/2

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A machine make 24 items in 8 minutes how many can it make in 14

yuradex [85]

So to solve we need to find out how many items per minute so 24 / 8 = 3 so the machine make 3 items per minute so now we take 3 and multiply it by 14 3 * 14 = 42 so 42 is our answer

6 0

3 years ago

Is 4/12 greater than 1/6

drek231 [11]

Answer:

Yes, 4/12 is greater than 1/6

3 0

2 years ago

Read 2 more answers

A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

What is the unit rate of a line that goes through the points (3,1)?

Ket [755]

Answer:

3.

Step-by-step explanation:

3 divided by 1 equals 3.

Please mark me brainliest I need it!!!

7 0

3 years ago

an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horiz

saul85 [17]

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The vertex is given by:

$(x_v, y_v)$

In which:

$x_v = -\frac{b}{2a}$

$y_v = -\frac{b^2 - 4ac}{4a}$

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

$x_v = -\frac{0.2}{2(-0.001)} = 100$

$y_v = -\frac{(0.2)^2}{4(-0.001)} = 10$

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

4 0

2 years ago