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kykrilka [37]
3 years ago
11

3. Which of the following points satisfies the inequality y > 5x – 2?

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0

Answer:

b

Step-by-step explanation:

GREYUIT [131]3 years ago
5 0

Answer:

Step-by-step explanation:

to satisfy the inequality then the point needs to make the inequality true

y > 5x -2

for (x=3, y=11) we have, 11 >5*3 -2 ; 11 > 13 false

for (x=2, y=10) we have, 10 >5*2 -2; 10 > 8 true

for (x=1, y= -1) we have -1 > 5*1 -2 ; -1 > 3 false

for (x= -3, y= -17) we have , -17 > 5* -3 -2 ; -17 > -17 false

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Factor the expression completely 40-5x
tatyana61 [14]

Answer:

5(8-x)

Step-by-step explanation:

Fact using the GCF (Greatest Common Factor) of 40 and 5

Factors of 5:

1,5

Factors of 40:

1,2,4,5,8,10,20,40

The greatest factor they both have is 5

Factor by distributing out a 5

40-5x

5(8-x)

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3 years ago
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Evaluate the piecewise function at the given values of the independent variable
snow_lady [41]
A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:

2(-1) + 3 = 1

b) For f(0), we use the part for when x \geq 0.

4(0) + 5 = 5

c) For f(2) we use the part for when x \geq 0.

4(2) + 5 = 13
3 0
3 years ago
What is the result when x^3-2x^2+5x-13x 3 −2x 2 +5x−13 is divided by x-2x−2?
Aleksandr [31]

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3 0
3 years ago
HELP i’m having trouble with my homework assignments
Aleksandr-060686 [28]

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

5 0
3 years ago
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