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Georgia [21]
2 years ago
12

Determine the equation whose roots are –1 –5 and –3

Mathematics
1 answer:
Alexus [3.1K]2 years ago
5 0
Well you are given the roots.

if we have 3 it would.have to be x^3. So something like:

y = ax^3 + bx^2 + cx + d

this could.also be written:

y = (x + a) (x + b) (x + c)

when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.

y = (-1 + a) (-5 + b) (-3 + c)

now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.

y = (x + 1) (x + 5) (x + 3)

this is your equation. You can multiply out if necessary
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Nine times a number decreased by 4 yields four times the number increased by 16
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The answer would be the following:
9 x - 4 = 4x + 16


8 0
3 years ago
Simplify the expression.
OlgaM077 [116]

Answer:

5.1

Step-by-step explanation:

-44.288-31.6 / -3.1(6-1.2)

Add -44.288 and -31.6

= -75.888 / -3.1(6-1.2)

Subtract 1.2 from 6

= -75.888 / -3.1(4.8)

Multiply -3.1 and 4.8

= -75.888 / -14.88

Divide -75.888 by -14.88

-75.888 / -14.88

=5.1

6 0
3 years ago
Read 2 more answers
You are scheduled to receive $38,000 in two yeara. when you receive it, you will invest it for 10 more years at 6.0 percent per
Savatey [412]
You will have 38,0000 dollars
7 0
3 years ago
Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has
zlopas [31]

Answer:

3.02

Step-by-step explanation:

quarters are .25

dimes are .10

nickels are .05

pennies are .01

9 * .25 + 4 * .10 + 7 *.05 + 2 *.01

2.25+0.4+0.35+0.02

3.02

7 0
3 years ago
Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is
Vlada [557]

The probability that the number selected is the square of a natural number will be  \frac{1}{5}.

<h3 /><h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}

Hence the probability that the number selected is the square of a natural number will be  \frac{1}{5}.

To learn more about the probability link is given below.

brainly.com/question/795909

8 0
2 years ago
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