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3 years ago

Given the following function, find h(3). h(t) = t2 − t + 7

Mathematics

1 answer:

g100num [7]3 years ago

7 0

Answer:

Step-by-step explanation:

h(t) = t² - t + 7

h(3) = 3² - 3 + 7 = 9 - 3 + 7 = <em>13</em>

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Dakota is selling his trading cards. He will sell the first 5 cards for 3 and each card after that $1

qaws [65]

Answer:

Step-by-step explanation:

5 0

3 years ago

An algorithm takes 0.5 seconds to run on an input of size 100. How long will it take to run on an input of size 1000 if the algo

dexar [7]

Answer:

linear: 5s

quadratic: 50s

log-linear: 0.75 s

cubic: 500s

Step-by-step explanation:

Let $t_1,t_2$ be the running time associated with the input of sizes $s_1,s_2$

If the running time is linear

$t_2 = t_1\frac{s_2}{s_1} = 0.5*\frac{1000}{100} = 0.5*10 = 5s$

If the running time is quadratic

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^2 = 0.5*\left(\frac{1000}{100}\right)^2 = 0.5*10^2 = 50s$

If the running time is log-linear

$t_2 = t_1\frac{log(s_2)}{log(s_1)} = 0.5*\frac{log(1000)}{log(100)} = 0.5*1.5 = 0.75s$

If the running time is cubic:

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^3 = 0.5*\left(\frac{1000}{100}\right)^3 = 0.5*10^3 = 500s$

6 0

3 years ago

Easy math question n

kolbaska11 [484]

Answer: $|x| \leq 5$ (the last option)

Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.

7 0

1 year ago

Equation of the line that passes through the points -1,10.5 and 0,4.5

Elanso [62]

Answer: y = -6x + 4.5

Step-by-step explanation:

to put it into slope intercept form use the standard form y=mx+b

where m is the slope and b is the y intercept

First, we have to find the slope

the slope is found using (y1-y2)/(x1-x2)

so you have 10.5-4.5 over -1-0 or 6 over -1

So the slope is -6

Second, we have to use a given Y value for the intercept

y = -6x + 4.5

4 0

3 years ago

Can someone please help me with this? pls & thank you!

hjlf

Answer:

see explanation

Step-by-step explanation:

Equation for Fast Internet is

45 + 50.45x

Equation for Quick Internet is

57.95x

To find when they cost the same , equate the 2 equations

45 + 50.45x = 57.95x ← required equation

Solve the equation by subtracting 50.45x from both sides

45 = 7.5x ( divide both sides by 7.5 )

6 = x

Both services would cost the same after 6 months

4 0

2 years ago