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katen-ka-za [31]
3 years ago
13

Select True or False for each statement.

Mathematics
1 answer:
Margarita [4]3 years ago
7 0
The first statement and the second statement are FALSE.

In mathematics, a function<span> is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the </span>function<span> that relates each real number x to its square x</span>2<span>.
</span>
I hope my answer has come to your help. God bless you and have a nice day ahead!
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Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

4 0
3 years ago
Neelam's daily income is ₹ 800. Her daily savings amount is ₹100. What is the ratio of her SAVINGS to her EXPENDITURE?
sveta [45]

Answer: ratio of her SAVINGS to her EXPENDITURE=1:7

Step-by-step explanation:

Neelam's daily income = ₹ 800

Neelam's daily savings amount = ₹100

Therefore  her expenditure will be Daily income - Daily savings

= ₹ 800- ₹ 100= ₹ 700

 ratio of her SAVINGS to her EXPENDITURE

= 100: 700

=1:7

3 0
3 years ago
Can a vector have a component greater than the vector's magnitude ?<br>​
Mars2501 [29]
Answer: No, it can never be greater. At most it can be equal though.

5 0
2 years ago
A bag contains 8 black marbles and 20 yellow marbles. You reach into the bag and pull out a black marble. Then you reach into th
sveticcg [70]
You have a bag containing 8 + 20 = 28 marbles.

After you pull a black marble you have 28 - 1 = 27 remaining marbles.

There are 20 yellow marbles in the bag.

The probability of pulling a yellow marble is now

\frac{20}{27} which \: is \: approximately \: equal \: to \\ 74.07\%
6 0
3 years ago
Solve the equation and check your solution for -14=k+6
andrew11 [14]

Answer:

-20=k

Step-by-step explanation:

-14=k+6

-6       -6

-20=k

-14=-20+6

-14=-14

5 0
3 years ago
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