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3 years ago

Given the function h(x) = 3(5)x, section a is from x = 0 to x = 1 and section b is from x = 2 to x = 3. part

1 answer:

katrin2010 [14]3 years ago

4 0

A.
h(x)=3*5ˣ; h(0)=3, h(1)=15: rate of change is (15-3)/1=12 (1st section)
h(2)=3*25=75, h(3)=3*125=375: rate of change (375-75)/1=300 (2nd section)
b.
So the second section is 300/12=25 times greater than the first section.
The function is exponential and as x gets larger the difference between consecutive values of h(x) increases dramatically so the rate of change increases.

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--2m + 4n2 for m = -6 and n=-5<br> Evaluate the expression

Tamiku [17]

Answer: 112

Step-by-step explanation:

Since we were given m and n, we plug them into the expression and solve.

-2(-6)+4(-5)² [exponent]

-2(-6)+4(25) [multiply]

12+100 [add]

112

Now, we know that the value of the expression is 112.

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3 years ago

Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?

Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

$x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3$

Now that we have the value of x, plug it into either equation to solve for y:

$3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5$

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>

5 0

3 years ago

It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 1012

tia_tia [17]

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

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3 years ago

Wendy ordered 50 scarves for her clothing shop. She received 53 scarves. What percent of her order did Wendy receive?

oee [108]

Answer: 106%

Step-by-step explanation:

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3 years ago

Find the Least Common Factor of 25 and 60

Firlakuza [10]

25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350,…
60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840,…

LCM(25, 60) = 300

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3 years ago