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Katyanochek1 [597]
3 years ago
5

Does the point (2, 6) lie on the line that connects (1, 4) and (0, 3)? Explain.

Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

The point does not lie on the line

Step-by-step explanation:

Find the slope of the equation with rise/run

This gets you -1/-1 = 1

The equation will be y = x + 3, given the y intercept at (0, 3)

Plug in the point (2, 6) to see if it works in the equation

6 = 2 +3

6 \neq 5

The point does not lie on the line

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How do I find the maximum profit of -30x2+660x-1500
lina2011 [118]

Answer:

2,130

Step-by-step explanation:

1. solve for x.

x=-\frac{b}{2a}

when ax^{2} +bx+c

x=\frac{-660)}{2(-30)}\\\\x=\frac{-660)}{-60}\\\\x=11

2. place value for X into equation

y=-30x^{2} +660x-1,500\\y=-30(11)^{2} +660(11)-1,500\\y=-30(121)+7,260-1,500\\y=-3,630+7,260-1,500\\y=3,630-1,500\\y=2,130

Maximim profit is 2,130.

3 0
3 years ago
Read 2 more answers
Which is a stretch of an exponential decay function?
Marta_Voda [28]

Answer:

The correct option is C. The function f(x)=\frac{5}{4}(\frac{4}{5})^x is a stretch of an exponential decay function.

Step-by-step explanation:

The general form of an exponential function is

f(x)=ab^x

where, a is the initial value and b is the growth factor.

If b<1, then it represents a decay function and if b>1, then it represents a growth function.

Let k be a stretch and compression factor.

g(x)=kf(x)

If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.

In third function

f(x)=\frac{5}{4}(\frac{4}{5})^x

k > 1

b < 1

Therefore the function f(x)=\frac{5}{4}(\frac{4}{5})^x is a stretch of an exponential decay function.

4 0
2 years ago
HELP <br> H E L P !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Anastasy [175]

Answer:

subject?

Step-by-step explanation:

5 0
3 years ago
Can anyone help me with this
Maksim231197 [3]

Answer:

D. 8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9

Step-by-step explanation:

(8x⁸ - 9x³ + 3x² + 9) + (4x⁷ + 6x³ - 2x)

Apply distributive property to eliminate parentheses

8x⁸ - 9x³ + 3x² + 9 + 4x⁷ + 6x³ - 2x

Collect like terms

8x⁸ + 4x⁷ - 9x³ + 6x³ + 3x² - 2x + 9

8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9

3 0
3 years ago
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
goblinko [34]

Hello!

<h3><u><em>Answer</em></u></h3>

The mean of the numbers shown in the table is C. 50.5

<h3>__________________________________________________</h3><h3><em><u>Explanation</u></em></h3>

To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.

18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555

There are 11 numbers in the table, so we divide by that.

555 / 11 = 50.45...

Finally, round to the nearest tenth: 50.5

<h3 />
3 0
3 years ago
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