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3 years ago

How can you use a number line to model and compare positive and negative rational numbers

1 answer:

8 0

You can use a number line to compare negative and positive numbers because the negative numbers will be located after the 0 while the positive numbers will be located before the 0.

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What are the points for f(x)=3^(x-1)-2

Savatey [412]

Answer: (0, -1 $\frac{2}{3}$ ), (1, -1), (2, 1)

Step-by-step explanation:

Set the exponent equal to zero - that is your anchor point.

Then choose an x-value less than and greater than the anchor point.

$\left\begin{array}{c|c|l}&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^{0-1}-2=3^{-1}-2=\frac{1}{3}-2 = -1\frac{2}{3}}\\\\anchor\ point&1&3^{1-1}-2=3^{0}-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^{2-1}-2=3^{1}-2=3-2 = 1}\end{array}\right$

4 0

4 years ago

Simplify 7x+42/x^2+13x+42

ehidna [41]

42x^2 + 20x + 42

Hope this helps

6 0

3 years ago

Read 2 more answers

-1/2(7z+4)+1/5(5z-15)

Helga [31]

$\frac{-(5 ( z + 2 ))}{2}$ I am pretty sure this is the answer.

6 0

3 years ago

Solve this alg 2 question

abruzzese [7]

Answer:

Step-by-step explanation:

something about a formula lol i learned this yesterday i just dont know how to explain

4 0

4 years ago

If a car has tires with a radius of 1.5 ft and the tires are spinning at 840 rpm (revolutions per

tamaranim1 [39]

Answer:

89·98 mph

Step-by-step explanation:

First, we get the circumference of the tires:

Circumference = $\pi$ × (radius × 2)

Circumference = 3.142 × (1·5 × 2)

Circumference = 3·142 × 3

Circumference = 9·426 ft

The circumference of the tire is equal to one round.

1 round = 9·426 ft

840 rounds = ?

We cross multiply to get the length that the tires would cover in a minute

= 840 × 9·426

1 minute = 7917·84 ft

60 minutes = ?

60 × 7917·84

= 475070·4 ft

5280 feet = 1 mile

475070·4 feet = ?

475070·4 × 1

5280

475070·4 ÷ 5280 = speed of the car in mph

89·97545

Round this off to 2 decimal places...

= 89·98 mph

hope this helps! =)

5 0

3 years ago