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4 years ago

13

A convenient store has 8 different types of drinks and 12 types of chips. How many different drink and chip combinations are pos

sible when choosing one item of each?

1 answer:

Alex4 years ago

5 0

Answer:

24

Step-by-step explanation:

You might be interested in

What is the solution to the system of equations graphed below?

Nata [24]

Answer:

D

Step-by-step explanation:

The 2 lines intersect at (1, 5)

3 0

3 years ago

Read 2 more answers

A cylinder has a Height 12 and a radius 3.7 what is it’s volume?

Juli2301 [7.4K]

The formula for the volume of a cylinder is v = π r² h
Let's use 3.14 for π.
Square 3.7 to get 13.69.
Multiply that by 3.14.
v = 42.9866 x 12
Finally, multiply it by 12.
v = 515.8392

You could also express your answer in terms of pi.
Square 3.7 to get 13.69.
Multiply it by 12. 164.28 is what you get.
v = 164.28π

Hope this helps!

7 0

3 years ago

Find all the zeros of the polynomial function P(x) x^4-4x^3 -5x^2+38x- 30

worty [1.4K]

Answer:

The zeros of the polynomial function are 1, -3, 3+i and 3-i.

Step-by-step explanation:

The given function is

$P(x)=x^4-4x^3-5x^2+38x-30$

We can find a zero of the given function by hit and trial method.

Substitute x=1 in the given function.

$P(1)=(1)^4-4(1)^3-5(1)^2+38(1)-30$

$P(1)=0$

The value of function is 0 at x=1 it means (x-1) is a factor of given function.

Substitute x=-3 in the given function.

$P(-3)=(-3)^4-4(-3)^3-5(-3)^2+38(-3)-30$

$P(-3)=0$

The value of function is 0 at x=-3 it means (x+3) is a factor of given function.

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

Divide the given function by $x^2 + 2 x - 3$ , to get remaining factors.

$\frac{x^4-4x^3-5x^2+38x-30}{x^2 + 2 x - 3}=x^2 - 6 x + 10$

So, the factor form of given function is

$P(x)=(x - 1) (x + 3) (x^2 - 6 x + 10)$

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then

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

Using quadratic formula find the zeroes of $x^2 - 6 x + 10$ .

$x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(10)}}{2(1)}$

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

$x=\frac{6\pm 2i}{2}$ $[\because \sqrt{-1}=i]$

$x=3\pm i$

Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.

3 0

3 years ago

The equation of a circle is x2+4x+y2−10y+13=0 .

kiruha [24]

X^2+4x+4+y^2-10y+25=-13+25+4

(x+2)^2 + (y-5)^2= 16
Third option

8 0

4 years ago

Read 2 more answers

Andy's average driving speed for a 4-hour trip was 45 miles per hour. during the first 3 hours he drove 40 miles per hour. what

777dan777 [17]

3*40 + x / 4 = 45.

The answer of x comes out to be 60. Which means that the speed was travel around 60 miles per hour in the last one hour of the total journey.

Well to understand how i constructed its equation is very simple. I equated the total average speeds answer to 45 and just calculated the average speeds with the help of algebra where x is the number of miles..

8 0

3 years ago