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dybincka [34]
1 year ago
6

Write a linear equation that has m=-4 and passes through (5,9)!

Mathematics
1 answer:
sladkih [1.3K]1 year ago
4 0

Answer:

y=-4x+29

Step-by-step explanation:

Using point-slope form,

y-9=-4(x-5) \\ \\ y-9=-4x+20 \\ \\ y=-4x+29

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Find 3 consecutive even integers if their sum decreased by 10 equals -22
Orlov [11]
Three consecutive even integers can be represented by x, (x+2), and (x+4).

(x + (x + 2) + (x + 4)) - 10 = -22   Get rid of the parentheses
    x + x + 2 + x + 4 - 10 = -22   Combine like terms (x + x + x) and (2 + 4 - 10)
                               3x - 4 = -22   Add 4 to both sides
                                    3x = -18   Divide
                                      x = -6
Check you work.

x = -6
x + 2 = -4
x + 4 = -2

(-6 - 4 - 2) - 10 = 22
-12 - 10 = -22

So, your three integers are -6, -4, and -2 .
6 0
3 years ago
Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer
musickatia [10]

Answer:

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16

The mean number of gallons can be calculated as:

M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8

3 0
2 years ago
What is a Hamiltonian , and why are they important ?
katen-ka-za [31]

Step-by-step explanation:

<em><u>Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton </u></em>

6 0
2 years ago
At the beginning of a basketball season, the Panthers won 20 games out of 80 games. At this rate, how many games will they win i
balu736 [363]
They will win 25 games in 100 game season at that rate.Since they win 5 games out of every 20.

The answer is 25
6 0
2 years ago
How can a company's salespeople help with product development?
S_A_V [24]

Answer/Explanation

D: They can sell new products. The reason for this is, that's what salespeople are for, to sell the products that the company make.

7 0
2 years ago
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