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3 years ago

What is the equation of the line, in slope-intercept form, that passes through (4.2) and (-2, -3)?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

y = 5/6x + -8

Step-by-step explanation:

you first need to find the gradient using the formula m = (y2 - y1)/(x2 - x1)

the gradient would be 5/6.

the slope intercept form equation is y = mx + c. so by taking one of the points, 2 = 5/6(4) + c

12 = 5(4) + c

12 = 20 + c

c = 12 - 20

c = -8

hence, y = 5/4x + -8

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What is the range of the data shown on the stem-and-leaf plot? <br>93<br> 43 <br>50<br> 48

notsponge [240]

Answer: C) 50

Step-by-step explanation:

The smallest number on the plot is 43. The largest is 93. The range of a chart is the largest number - the smallest number. Thus, simply do 93-43 to get 50.

Hope it helps <3

5 0

3 years ago

Read 2 more answers

What is the volume of this container?

Keith_Richards [23]

Answer:

The volume of the container is $56\ in^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to

$V=Bh$

where

B is the area of the base

h is the height of the figure

Let

$h=4\ in$

Find the area of the base B

$B=(4*4)-(1*2)=14\ in^{2}$

substitute

$V=14*4=56\ in^{3}$

3 0

3 years ago

Atul has 2/3 lb of candy. Jose has 3/5 lb and Maria has 1/2 lb less then José. How many more pounds of candy does Atul have than

liraira [26]

Given:

Atul has $\dfrac{2}{3}$ lb of candy.

Jose has $\dfrac{3}{5}$ lb of candy.

Maria has $\dfrac{1}{2}$ lb less than Jose.

To find:

How many more pounds of candy does Atul have than Maria?

Solution:

Since, Maria has $\dfrac{1}{2}$ lb less than Jose, therefore

Maria has = $\dfrac{3}{5}-\dfrac{1}{2}$ lb

Maria has = $\dfrac{6-5}{10}$ lb

Maria has = $\dfrac{1}{10}$ lb

Difference between the candies Atul and Maria have.

Difference = $\dfrac{2}{3}-\dfrac{1}{10}$ lb

Difference = $\dfrac{20-3}{30}$ lb

Difference = $\dfrac{17}{30}$ lb

Therefore, Atul have $\dfrac{17}{30}$ lb of candy more than Maria.

6 0

3 years ago

A concert ticket that originally cost $46.50 is on sale for $38.75. What is the percent of decrease, rounded to the nearest tent

Arturiano [62]

You subtract 38.75 from 46.5, which is 7.75. 7.75/46.5=about .16666, or 16.7 percent.

5 0

3 years ago

Tell whether the ordered pair is a solution of the linear system (-24,-10)

Dovator [93]

Answer:

IT is not

Step-by-step explanation:

Let's replace. If it's a solution, it means that BOTH equations has to be true.

$\left \{ {{-10=-5(-24)+22} \atop {-2(-24) +6(-10)=-12} \right.$

Now, the second equations seems good - $48-60 =-12$ indeed.

First alas isn't. RHS is 142, which is totally not the same as -10.

8 0

2 years ago