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Vika [28.1K]
3 years ago
7

larissa asked 40 students to name their favorite food. 10 students said their favorite food was pizza. What percent of the stude

nts survayed said their favorite food was pizza?
Mathematics
2 answers:
dimulka [17.4K]3 years ago
5 0
The answer would be 25% or 1/4 if you wanted it in fraction form. 
Doss [256]3 years ago
5 0
The percent of the students surveyed said their favorite food was pizza is 25%. You can simplify 10/40 by 10/10 which gives you 1/4. You then multiply 1/4 to a number that gives you ?/100, which would be 25/100. And that would give you 25%.
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2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0
1 year ago
Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of un
REY [17]

Answer:

Step-by-step explanation:

Given that:

R(x) = \frac{17}{2x+1} + 34x − 17

As we know that derivative of revenue function is marginal revenue function .

We will use following rules of derivative

=> dR/ dx = \frac{-17*2}{(2x+1)^{2} } + 34

=> R' (x) =   \frac{-34}{(2x+1)^{2} } + 34

=> R '(2000) =  \frac{-34}{(2*2000+1)^{2} } + 34 = 34

The revenue when 2000 units are sold is:

R(2000) = \frac{17}{2*2000+1} + 34*2000 − 17 = $69,783

3 0
3 years ago
5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
Alexus [3.1K]

Answer: C

Step-by-step explanation:

the equation for X is

\frac{2+x}{2} =\frac{8}{1}  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

\frac{-1+y}{2} =\frac{3}{1} use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

8 0
2 years ago
4(x + 3) + 2x in the simplest form
leonid [27]

Answer:

6x + 12

Step-by-step explanation:

Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.

3 0
2 years ago
Read 2 more answers
What is the value of m in 3(2m-9+6m)=3m+29-7m<br> i got 1/10 but the choices are -3, 2, 5, and 120
kirill [66]
Hello,

3(2m-9+6m)=3m+29-7m
==>3(8m-9)=-4m+29
==>24m+4m=29+27
==>28m=56
==>m=2

Answer B


5 0
3 years ago
Read 2 more answers
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