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ValentinkaMS [17]
3 years ago
13

4. Which of the following functions has a rate of change that stays the same?

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer:

y=-4x+10

Step-by-step explanation:

A linear function has a constant rate of change.

So all you need to do is to identify which of the given options is a linear function.

y=-4x+10 is a linear function and the rate of change is -4.

We can see this is a constant.

y=\frac{1}{2}x^2 has a variable rate of change which is x

y=3^x also has a rate of change which is  3^x\ln3

y=x^2+2 also has a variable rate of change which is 2x

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(x+4)²=9= 0
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Answer:

A -4±3

Step-by-step explanation:

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3 0
1 year ago
A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo
Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

a)

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) 10X+5X+5X=300 => 20X = 300 => X = 15 days for the lessons

b) 5X+10X+8X = 300 => 23X = 300 => X = 13.04 days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) 10X+5X=300 => 15X = 300 => X = 20 days for the lessons

b) 5X+10X = 300 => 15X = 300 => X = 20 days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) 10(10/24)+5X+5X= 300 => X = 29.58 days for the lessons

b) 5(10/24)+10X+8X = 300 => X = 16.51 days for the tests

so at the end to complete both tasks they need 29.58 days

4 0
3 years ago
Find the measure of the missing angles.<br> b<br> 100°<br> 0
Jobisdone [24]

Step-by-step explanation:

Angle b + 100 = 180 (angles on the same straight line)

b + 100 = 180 \\ b = 180 - 100 \\  = 80

Angle c = Angle b (Vertically opposite angles)

= 80 deg

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3 years ago
The Federal Pell Grant Program gives grants to low-income undergraduate students. According to the National Postsecondary Studen
Gekata [30.6K]

Answer: the t-test statistic is - 1.77

Step-by-step explanation:

For the null hypothesis,

H 0: μ = 2600

For the alternative hypothesis,

H a: μ ≠ 2600

This is a two tailed test

Since no population standard deviation is given, the distribution is a student's t.

Since n = 50,

Degrees of freedom, df = n - 1 = 50 - 1 = 49

t = (x - µ)/(s/√n)

Where

x = sample mean = $2450

µ = population mean = $2600

s = samples standard deviation = $600

Therefore,

t = (2450 - 2600)/(600/√50) = - 1.77

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3 years ago
Solve for x. 3x-8=2(5-x)​
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