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nikdorinn [45]
4 years ago
15

Evaluate f(0) for f(x) = x2 -7x-30

Mathematics
1 answer:
Nostrana [21]4 years ago
8 0
Just plug in the 0 as it says in f(x) = f(0) into the equation.

f(x) = x² - 7x - 30

f(0) = 0² - 7(0) - 30

f(0) = 0 - 0 - 30

f(0) = -30

hope this helps, God bless!
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What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2
Dimas [21]
Find how many numbers are divisible by two and three, then place that number above the total number of items in the set as a fraction. Like this:
\frac{Total-numbers -divisible-by-2-and-3}{Total-numbers-in-set}

4 0
3 years ago
kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percenta
eimsori [14]

Answer:

Loss %age = 25%

Step-by-step explanation:

<u><em>Cost Price of Item</em></u> = 250,000/-

<u><em>Loss </em></u>= 1/4 = 0.25 of 250,000

=> 62,500 /-

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=> 62,500 * 100 / 250,000

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=> 25 %

5 0
3 years ago
The half-life of radium-226 is 1600 years. Suppose we have a 27-mg sample.
slega [8]

A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)

The amount of sample that will remain after 4000 years is; 4.8357 mg

The number of years that it will take for only 17 mg of the sample to remain is;  1076 years

<h3>How to solve exponential decay function?</h3>

A) Using the model for radioactive decay;

m(t)= m₀e^(-rt)

where;

m₀ is initial mass

r is rate of growth

t is time

Thus, we are given;

m₀ = 27 mg

r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043

and so we have;

m(t) = 27e^(-0.00043t)

c) The amount that will remain after 4000 years is;

m(4000) = 27e^(-0.00043 * 4000)

m(4000) = 27 * 0.1791

m(4000) = 4.8357 mg

d) For 17 mg to remain;

17 = 27e^(-0.00043 * t)

17/27 = e^(-0.00043 * t)

In(17/27) = -0.00043 * t

-0.4626/-0.00043 = t

t = 1076 years

Read more about Exponential decay function at; brainly.com/question/27822382

#SPJ1

5 0
1 year ago
Solving each equation: -10-3(x-2)=-(4+3x)
juin [17]

Answer:

-4-3x = -4-3x

Step-by-step explanation:

-10-3(x-2)=-(4+3x)

-10-3x+6 = -4-3x

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3 0
3 years ago
The graph of a linear equation contains the points (3,11) and (-2,1) Which point also lies on the graph
Svet_ta [14]
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y - 11 = 2(x) - 2(3)
y - 11 = 2x - 6
  + 11        + 11
       y = 2x + 5
6 0
4 years ago
Read 2 more answers
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