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maksim [4K]
3 years ago
10

What are the x-intercept and y-intercept of the graph of y=−12x+4 ? Drag and drop your answers into the boxes. x-intercept: y-in

tercept:
Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Answer:

y intercept = 4

x intercept = 1/3

<u>x - intercept</u>

To find the x intercept, substitute 0 for y and solve for x.

0 = -12x + 4

0 = -12 (1/3) + 4

0 = -4 + 4

0 = 0

The x - intercept is 1/3

<u>y - intercept</u>

To find the y intercept, substitute 0 for x and solve for y.

y = -12 (0) + 4

y = 0 + 4

y = 4

The y - intercept is 4.

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PLEASE, I REALLY NEED YOUR HELP!!!
Brrunno [24]

Answer:

d + q + p= ¢

Step-by-step explanation:

you add all the variables

3 0
3 years ago
Read 2 more answers
Question 3- Please help. Find the area of the sector for the image below:
bezimeni [28]

Answer:

The answer is 16.8 cm^ 2.

6 0
3 years ago
A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the south
igor_vitrenko [27]

Answer:

Step-by-step explanation:

Part A

<u>Givens</u>

b1 = 265

b2 = 180

h  = 90

<u>Formula</u>

Area = (b1 + b2)*h / 2

<u>Solution</u>

Area = (265 + 180) * 90 / 2

Area = 445 * 90 / 2

Area = 40050 / 2

Area = 20025 square meters

Part B

1 hectare = 10000 square meters

x hectare = 20025 square meters         Cross multiply

x * 10000 = 20025 * 1                             Divide by 10000

x  = 20025 / 10000

x = 2.0025

Rounded to the nearest hectare that would be 2

Part C

The best shape is a square.

That would mean that the area is given by

s^2 = 20025

sqrt(s^2) = sqrt(20025)

s = 141.51

Each side of the rectangle (square) = 141.51

4 0
3 years ago
A shop sells packs of black pens, packs of red pens and packs of green pens.
olchik [2.2K]

Answer:

85 pens  

Step-by-step explanation:

The computation of the number of green pens sold is shown below;

As the number of black pens, red pens, and green pans is 3:5:6

And, the ratio of sold of black pens, red pens, and green pans is 7:3:4

So, the ratio of pens in a number of pens is

= 3 × 7 : 5 × 3 : 4 × 6

= 21: 15 : 24

= 7: 5 : 8

And, the total of 212 pens are sold

So, the number of green pens sold is

= 8 × 212 ÷ (7 + 5 + 8)

= 85 pens  

4 0
3 years ago
Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
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