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stepan [7]
4 years ago
5

Multiply the polinomials (x+4)(x^2-5x+3)

Mathematics
1 answer:
NeX [460]4 years ago
7 0

Answer: x^3 + x^2 - 17x + 12

Step-by-step explanation:

(x+4)(x^2-5x+3)

x^3 - 5x^2 + <u>3x</u> + 4x^2 <u>- 20x</u> + 12

underlined and bolded can be combined

That leaves you with x^3 + x^2 - 17x + 12

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3 years ago
1. A right triangle has a hypotenuse of length 10 yd and one leg of length 2 yd.
Aleonysh [2.5K]

Question 1.

The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.

h^2=l_1^2+l_2^2

From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.

This implies that,

10^2=l_1^2+ {2}^{2}

Evaluate the exponents

100=l_1^2+ 4

Subbtract 4 from each side

100 - 4=l_1^2

l_1^2 = 96

l_1=  \sqrt{96}

l_1 =  \sqrt{16 \times 6}

l_1 =  4\sqrt{6}

The correct answer is C

Question 2

We want to solve

{e}^{4x}  = 11

using inverse functions.

The inverse of an exponential function is a logarithmic function.

We take natural log of both sides to get;

ln({e}^{4x})   =  \ln(11)

Recall that

\ln( {a}^{n} )  = n  \ln(a)

This means

4x \ln({e})   =  \ln(11)

Logarithm of the base is 1

4x (1)   =  \ln(11)

4x   =  \ln(11)

Divide both sides by 4

x=  \frac{ \ln(11)}{4} \\x=0.5995\\ x = 0.6

7 0
3 years ago
Um help me thx :))))))
Grace [21]

Answer:

its actually a geometric because there is exponential growth. if it was arithmetic there would be a linear line as the quantities would be proportional (growing at a particular rate/at equal intervals) and if it was arithmetic it wouldn't curve

8 0
3 years ago
6q-5q=7 <br> What does q equal?​
Wittaler [7]

Answer: q=7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The number of people who use the ATM at night outside your local bank branch can be modeled as a Poisson distribution. On averag
Marina86 [1]

Answer:

0.6988

Step-by-step explanation:

Given that the number of people who use the ATM at night outside your local bank branch can be modeled as a Poisson distribution.

Let X be the number of customers arriving between 10 and 11 am.

X is Poisson with mean= 1.2

Required probability

=  the probability that in the hour between 10 and 11 PM at least one customer arrives

= P(X≥1)

=1-P(X=0)

=1-0.3012

= 0.6988

6 0
3 years ago
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