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olga nikolaevna [1]
3 years ago
10

Solve the system of equations by graphing. y=-2x y=-3x-2 A.(4,-2) B.(-2,4) C.(1,-1)D.(-1,1)

Mathematics
1 answer:
NeTakaya3 years ago
7 0

y = -2x

for x = 0 → y = -2(0) = 0 → (0, 0)

for x = 2 → y = -2(2) = -4 → (2, -4)


y = -3x - 2

for x = 0 → y = -3(0) - 2 = 0 - 2 = -2 → (0, -2)

for x = -2 → y = -3(-2) - 2 = 6 - 2 = 4 → (-2, 4)


Look at the picture.

<h2>Answer: B. (-2, 4)</h2>

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A virus that initially infected four people is spreading at a rate of 15% each week.
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Answer:

"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"

Step-by-step explanation:

<u>Complete Question:</u>

A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.

f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily

f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily

f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily

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<u>Solution:</u>

The weekly number of people infected would be:

f(x)=4(1.15)^x

7 days in a week, so daily number of people infected would be:

f(x)=4(1+r)^{7x}

To find daily rate, we set these 2 equations equal and solve for r:

4(1.15)^x=4(1+r)^{7x}\\1.15^x=(1+r)^{7x}\\1.15^x=((1+r)^7)^x\\1+r=1.02\\r=1-1.02=0.02

That is 0.02*100 = 2% daily

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How to get the answer.
Anna007 [38]

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is \displaystyle \boxed{y^x}. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

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