All categories

3 years ago

determine the intercepts of the line that correspond to the following table of values. -14,9 -10,18 -6,27

1 answer:

8 0

I'll need to assume that your "-14,9" means (-14,9); if so, please use parentheses next time to indicate that you're sharing the coordinates of a point.

As we go from (-14,9) to (-10,18), x increases by 4 and y increases by 9. Thus, the slope of this line is m = rise / run = 9/4.

We want the intercepts of this line. Let's use the slope-intercept form y = mx + b. Substituting the given info: -10 for x and 18 for y, and m = 9/4, we get:

18 = (9/4)(-10) + b, where b is the y-intercept.

Solving for b, we get 18 + 90/4 = (72+90)/4 = 162/4, or 81/2.

Then b = 81/2, and the equation of the line is y = (9/4)x + 81/2.

Now find the x-intercept. To do this, let y = 0; then (9/4)x = -81/2, Mult. both sides by 4 to eliminate the fractions: 9x = -162, or x = -18. The x-intercept is (-18,0) and the y-intercept is (0,81/2)

You might be interested in

JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n

Sladkaya [172]

3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees.

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = $\sqrt{27}$

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/ $\sqrt{27}$
$\sqrt{27}$ Tan(31) = MJ
3.122 = MJ

7 0

4 years ago

Read 2 more answers

Select all the choices that decision makers could use marginal analysis for to make effective decisions.

son4ous [18]

Marginal anylasis is thinking at the margin or when right before you will make the choice

A.
producing another car
depends on how fast you can product, I don't think it is very fast, so no

B.
this is marginal thinking, you already have the pizza in front of you

c. same as A, not

D. you are already buying one

B and D

8 0

3 years ago

Read 2 more answers

You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want

Arlecino [84]

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = $2L + 2W + 2W$

The fencing material costs $30 per meter.

The material for the partitions costs $25 per meter

$cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W$

$7000=60L+110W$

Solve for L

$7000=60L+110W\\7000-110W= 60L\\L=\frac{700}{6} -\frac{11}{6} W$

Area = length times width

$( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2$

Now take derivative and set it =0

$A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W$

set the derivative =0 and solve for W

$0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8$

So width = 31.8 that gives maximum area

$L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4$

$Area = length \cdot width = 31.8 \cdot 58.4= 1857.12$ square meter

4 0

3 years ago

If f(x)= |4x - 1|, find the value of x if(x) = 7

vaieri [72.5K]

F(x) = | 4x - 1 | .....when f(x) = 7
7 = | 4x - 1 |

4x - 1 = 7 -(4x - 1) = 7
4x = 7 + 1 -4x + 1 = 7
4x = 8 -4x = 7 - 1
x = 8/4 -4x = 6
x = 2 x = -6/4
x = - 3/2

solutions are x = -3/2, 2

6 0

3 years ago

Read 2 more answers

Ellen purchased two binders for $1.25 each, two binders for $3.75 each, two packs of paper for $1.50 each, four packs of pens fo

laiz [17]

Answer:

$29

Step-by-step explanation:

2*1.25

2*3.75

2*1.5

4*1.75

4*2.25

multiply these and add them all up and you get 29

6 0

3 years ago

Read 2 more answers