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3 years ago

Algebra 1 taking stock

Mathematics

1 answer:

bonufazy [111]3 years ago

6 0

Given:

36 inch long pipe

Must be cut into 21/4 inch long pieces

Required:

How many pieces to be cut

Solution:

All you need to do is to divide 36 by 21/4

Dividing this will result to 48/7 pipes or 6 and 6/7 pipes

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Find the sum for each and present - 66 + 42

Fed [463]

-24

-66+42

=-24 since it is negative

3 0

3 years ago

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Number 2 and please provide a step by step explanation!!!!

Alekssandra [29.7K]

The number of students in 5th grade is 60, since 24% of 250 is 60.

Since 90 is 38% if 250, 38 is going to be the percent of all students in sixth grade.

20% of 250 is 50, so the percent of all students in seventh grade is 50.

Finally, 45 is 18% of 250, so 18 percent of all students are in eight grade.

Hope this helped :)

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2 years ago

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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.

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2 years ago

100 POINTS AND BRALIEST

ddd [48]

Answer:

I think that the answer is Cezanne.

Step-by-step explanation:

Because Michelangelo, Raphael, and De Vinci were the greatest of all time, so they were most likey commissioned by the Medici family

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2 years ago

Solve the following equation x+2=10

Maru [420]

Answer:

x=8

Step-by-step explanation:

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3 years ago

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