Ask question

Ask question

All categories

4 years ago

15

In a school election, 3/4 of the students vote. There are 1464 ballots. Write and solve and equation to find the number of stude

nts.

1 answer:

erik [133]4 years ago

7 0

x = total number of students

equation is:

(3/4)x = 1464

to solve for x divide both sides by 3/4

x = 1464 / 3/4 = 1952

x = 1952

there are 1952 total students

You might be interested in

Does it matter if you group like terms?

Mashcka [7]

Answer: Yes it does matter because you can't add the like terms if they aren't the same.

Step-by-step explanation: 2x+8y you can't add these two because they don't have the same like terms.

4 0

3 years ago

Can someone pls help me with this!?

guapka [62]

Answer:

c or 3rd one

Step-by-step explanation:

6 0

3 years ago

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

What is the sum?<br> 8+(-12)<br> -20<br> -4<br> 4<br> 20

matrenka [14]

Answer:

-4

Step-by-step explanation:

5 0

3 years ago

Calculate the value of x

Katena32 [7]

Answer:

22⁰

Step-by-step explanation:

By angle sum property :

x + 127 + 31 = 180⁰

x = 180 - 158

x = 22⁰

3 0

3 years ago

Read 2 more answers