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denpristay [2]
1 year ago
10

Factor this polynomial completely

tle=" {x}^{2} - x - 20" alt=" {x}^{2} - x - 20" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
larisa86 [58]1 year ago
7 0

Explanation

Given the expression

x^2-x-20

Therefore;

\begin{gathered} x^2-x-20 \\ =x^2-5x+4x-20 \\ =x(x-5)+4(x-5) \\ =(x+4)(x-5) \end{gathered}

Answer:

(x+4)(x-5)

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Use what you've learned in this unit to model the population of Western
nekit [7.7K]

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

However, the following is a general guide to solve the question.

An exponential function is represented as:

y = a(1 \pm r)^x

Where:

  • (a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
  • (r) represents the rate at which the population increases or decreases.
  • (x) represents the number of years since 2022
  • (y) represents the population in x years

Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)

Take for instance:

y = 2000 * 0.98^x

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

5 0
2 years ago
Chicken Delight claims that 87% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 80 or
jeka57 [31]

Answer:

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

Step-by-step explanation:

In this question we have to test an hypothesis.

The null and alternative hypothesis are:

H_0: \pi\geq0.87\\\\H_a:\pi

The significance level is assumed to be 0.01.

The sample of size n=80 gives a proportion of p=61/80=0.7625.

The standard deviation is:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }=\sqrt{\frac{0.87*0.13}{80} }=0.0376

The statistic z is then

z=\frac{p-\pi+0.5/N}{\sigma}=\frac{0.7625-0.87+0.5/80}{0.0376} } =\frac{-10125}{0.0376} =-2.70

The P-value is

P(z

The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

6 0
3 years ago
(x – 3)(4x + 2) using the distributive property. Select the answer choice showing the correct distribution
Nataly [62]

The distributive property: a(b + c) = ab + ac

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

= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6

<h3>= 4x² - 10x - 6</h3>
5 0
3 years ago
In a line of students. Jenna is number 8. The teacher says that a rule for a number patter is add 4. The first student in line s
tatyana61 [14]
She says 35 because number 7 in line says 31, so 31+4=35...

I hope this helped you!
7 0
3 years ago
Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? I have to write an equation and solve
Korvikt [17]
Variable x is ryans miles
amy-ryan=answer
40-31=x
x=9
ryan ran 9 miles
hope this helps
40-31=x is the equation
8 0
3 years ago
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