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3 years ago

Determine the relation of the following lines: y = -2x + 4 and y = -2x + 1.

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

Parallel

Step-by-step explanation:

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Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

ivolga24 [154]

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

4 0

2 years ago

What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?

Rainbow [258]

Answer:

The base is: $3 \sqrt[3]{4}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{4}(\sqrt[3]{108})^x$

Required

The base

Expand 108

$f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x$

Rewrite the exponent as:

$f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x$

Expand

$f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x$

$f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x$

Rewrite as:

$f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x$

An exponential function has the following form:

$f(x)=ab^x$

Where

$b \to base$

By comparison:

$b =3 \sqrt[3]{4}$

So, the base is: $3 \sqrt[3]{4}$

4 0

3 years ago

Select the list that correctly includes all of the coefficients from the problem

matrenka [14]

Answer:

( B.) 6, 1, -2 , -4

Step-by-step explanation:

A coefficient is a number multiplied by a variable. So, in this case let's take a look at the problem.

-2+6y+m-2y+8-4m

Now we have to find the numbers that have a variable next to it

which are 6,m,-2, and -4

(If you are wondering that why m is a coefficient its because it is also known as 1m)

Final answer = 6, 1, -2 , -4

Hope this helps!

7 0

2 years ago

Three times as much as one hundred thirty plus twenty

oee [108]

This equals 410. You must first multiply and then add

4 0

3 years ago

Read 2 more answers

Colin buys a car for £42800. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to

11111nata11111 [884]

Principal=₹42800

Rate of interest=5% but 2 years so multiply by 2 =5×2=10%

Time=2 years

Simple interest=42800×10×2/100= ₹8560

Amount=42800+8560=Rs51360

The answer is ₹ 51360

7 0

2 years ago