Enrique can travel 15 miles per hour on his bicycle. at this rate, how far can he travel in 2 2/5 hours?

Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x)

horsena [70]

Hi there!

$\large\boxed{\text{Choice 4}}$

We can look at each function, f(x) and g(x), to determine which is exponential.

Use slope formula: m = y2-y1/x2-x1

f(x) starts off with a slope at about $1800/year, but becomes about $1100/year.

g(x) starts off with a slope of about $1500/year, but becomes about $1874/year.

Thus, g(x) is exponential, because g(x)'s slope is increasing across the interval.

3 0

2 years ago

Alx+b) = 4x + 10

Leokris [45]

Answer:

a=4, b=5/2

Step-by-step explanation:

Assuming the given equation is

$a(x + b) = 4x + 10$

We expand the left hand side to get:

$ax + ab = 4x + 10$

If this equation must have infinitely many solutions, then

$ax = 4x \\ \implies \: a = 4$

Also we must have

$ab = 10$

Put a=4 to get:

$4b = 10$

$b = \frac{10}{4} = \frac{5}{2}$

3 0

3 years ago

How do I solve this equation for x?

tester [92]

1) Divide both sides by 2
2x+12^2/3 =16

2) Solve the exponent
2x+12^2/3 =16

(2x+12^2/) ^3/2 =16^3/2 ( raise both sides to power)

2x+12 = 64

3) Subtract 12 from both sides
2x + 12 - 12 = 64-12

2x = 52

4) divide both sides by 2
2x/2 = 52/2

x = 26

Final answer : x = 26

7 0

3 years ago

3. In class today, 1/4 of the students wore shorts and

Mkey [24]

Answer:

A. $\frac{1}{4}$ = $\frac{3}{12}$