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3 years ago

A(a+5) expand and simplify

Mathematics

2 answers:

KIM [24]3 years ago

8 0

A^2+5A
(multiply a and a and 5 and a)

pochemuha3 years ago

4 0

$a^{2} + 5a$

You might be interested in

$1950 plus 15% is what

Fudgin [204]

15% of 1950 = 1950 * 0.15 = 292.5
So, sum would be: 1950 + 292.5 = 2242.5

In short, Your Answer would be $2242.5

Hope this helps!

6 0

3 years ago

If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

3 years ago

10% of the 150 students in sixth grade are on the student council. How many sixth graders are on the student council?

Vinil7 [7]

Answer:

The answer is 15.

Step-by-step explanation:

10% of 150 is 15. (you can take away the zero)

8 0

2 years ago

Read 2 more answers

The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 6%, and the

Olegator [25]

Answer:

62.92

Step-by-step explanation:

21 percent of 52$ is 10.92 then add em together hope it helps

7 0

2 years ago

Use the box plot to explain what you know about the spread of this data set.

k0ka [10]

Answer:

The Middle is 50, The outliers are 20 and 75

Step-by-step explanation:

4 0

3 years ago