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3 years ago

Pls answer the top one!

Mathematics

1 answer:

Zinaida [17]3 years ago

8 0

Answer:

15800

Step-by-step explanation:

17600/10 =

1760

17600

-1760

15800

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Determine the intercepts of the line that correspond to the following table of values. x y 4 0 12 5 20 10

gogolik [260]

Let

A(4,0)

B(12,5)

C(20,10)

we know that

The x-intercept of the line is the value of x when the value of y is equal to zero

The y-intercept of the line is the value of y when the value of x is equal to zero

The point A(4,0) is the x-intercept of the line

Find the slope AB

m=(y2-y1)/(x2-x1)

mAB=(5-0)/(12-4)--------> mAB=5/8

with the slope m and the point A(4,0) find the equation of the line

y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5

Find the y-intercept

For x=0

y=0.625*0-2.5---------> y=-2.5

the y-intercept is the point (0,-2.5)

therefore

the answer is

the x-intercept is the point (4,0)

the y-intercept is the point (0,-2.5)

see the attached figure to better understand the problem

4 0

3 years ago

The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are

WITCHER [35]

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10. Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

7 0

3 years ago

What is the area of the segment?

SVEN [57.7K]

Answer:

28.54 ft²

Step-by-step explanation:

Area of segment = $(\frac{\theta * \pi}{360} - \frac{sin(\theta)}{2}) * r^2$

Where,

$\theta = 90$

r = 10 ft

Plug in the values

$(\frac{90 * \pi}{360} - \frac{sin(90)}{2}) * 10^2$

$(0.7854 - 0.5) * 100$

$(0.2854) * 100$

= 28.54 ft²

6 0

3 years ago

If Tina traveled 2,000 miles in 5 hours on her plane flight to her vacation destination, how fast was the plane traveling?

IRINA_888 [86]

Answer:

400 miles per hour

Step-by-step explanation:

2.000 miles : 5 hours =400 miles per hour

have a nice day :)

6 0

3 years ago

FIRST GETS BRAILIEST Michael finds that 35 customers at his grandfather's grocery store use a coupon. To simulate the behavior

Nataly [62]

Answer:

$\frac{1}{3}$ .

Step-by-step explanation:

We are given that,

1, 2, 3 represents someone using a coupon and 4, 5 represents someone not using a coupon.

Now, the results out of 15 trials of the experiment are given to be:

43454, 24511, 55555, 43453, 55315, 25215, 32235, 43311, 11154, 13342, 42514, 13223, 44215, 45313, 13324.

Since, we can see that, the only possibilities where 4 or more customers use coupons are:

32235, 43311, 13342, 13223 and 13324.

That is, out of 15 trials, there are total 5 trials in which 4 or more customers use coupons.

Thus, the probability of 4 or more customers using a coupon is $\frac{5}{15}$ = $\frac{1}{3}$ .

Hence, the required probability is $\frac{1}{3}$ .

8 0

3 years ago