All categories

3 years ago

7. A movie theatre just opened 2 new theatres. One theatre has

Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

The smallest number of seats that both theatres can have us 60

You might be interested in

What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

jenyasd209 [6]

Answer:

$x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}$

Step-by-step explanation:

My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

$-2\pm\sqrt{\dfrac{11}{2}}$

where the 2 in the denominator of the radical is the leading coefficient.

You can also use other clues:

the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.

The first answer choice is the only one with values symmetrical about -2 and one of them positive.

You may be expected to use the quadratic formula:

$x=\dfrac{-b\pm\sqrt{b^-4ac}}{2a}=\dfrac{-8\pm\sqrt{8^2-4(2)(-3)}}{2(2)}\\\\=\dfrac{-8}{4}\pm\dfrac{\sqrt{88}}{4}=-2\pm\sqrt{\dfrac{11}{2}}$

7 0

3 years ago

The image below is a triangle drawn inside a circle with center O: A triangle is shown inscribed inside a circle. The leg of the

Elis [28]

The area of a circle is given in terms of its radius by

A = π · r²

Your circle has r=4 (half the diameter) and you want π=3.14. Using these values in the formula gives

A = 3.14 · 4²

This matches your first selection

3.14 · 4²

<em> MARK AS BRAINLIEST</em>

7 0

3 years ago

How long will it take to sum of 6,000 naira to give an interest of 1500Naira at 5% rate

Sonja [21]

Answer:

5years

Step-by-step explanation:

Interest=Principal*Rate*Time/100 which is

I=P*R*T/100

1500=6000*5*T/100
1500=30000/100*T
1500=300T
1500/300=T
5=T

Therefore T which is Time=5 years.

HOPE THIS HELPS

8 0

2 years ago

Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form?

777dan777 [17]

$-3(x^{2} +5x+10)$ is the standard form of the given expression

The given expression is:

$=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)$

This is the standard form of the given expression.

Learn more about Simplifying expression here brainly.com/question/723406

#SPJ4

7 0

2 years ago

Find (f•g)(2) given f(x)=x-3 and g(x)=x+3<br><br> Please show your work

marissa [1.9K]

Answer:

$f.g(x) = f(g(x))\\f(g(2)) = ?\\\\g(x) = x+3 \\g(2) = 5\\\\f(x) = x-3\\f(g(2)) = f(5) = 2=f.g(2)$

Step-by-step explanation:

7 0

2 years ago