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3 years ago

Answer this question please

Mathematics

1 answer:

g100num [7]3 years ago

4 0

Answer:

No correlation

Step-by-step explanation:

There's no discernible trend in the data.

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Factorise 24e^2-28e-12

Helga [31]

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

8 0

3 years ago

Will the perimeter of a

Julli [10]

Sometimes I’m pretty sure

6 0

3 years ago

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

4 0

3 years ago

Kate can mow lawns at a constant rate of 45 lawns per hour. How many lawns can Kate mow in 20 hours?

poizon [28]

Answer:135

Step-by-step explanation:

bcs 45x60 is 2700 ÷20= 135

4 0

3 years ago

The population of Rwanda in 2016 was about 11.8 million. The population tends to increase by about 2% per year. Which equation d

natita [175]

Answer:

B - P=11.8(1.02)^t

Step-by-step explanation:

An exponential function is defined as:

$y=ab^{x}$ .

Recall, a is the starting value, b is the rate, and x is the input (often time).

We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.

We write: $y=11.8(1.02)^{t}$ where y is population in millions.

5 0

3 years ago