All categories

3 years ago

We created this inequality to represent how Amy can meet her revenue goals:

Mathematics

2 answers:

brilliants [131]3 years ago

7 0

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

$-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5$

The only realistic value is x = 2 $2 increases

If the original price was $25, then the new rice required to reach Amy's goal is:

$P=25+2*2\\P=\$29$

The minimum ticket price is $29.

sergiy2304 [10]3 years ago

4 0

Answer: B: 2x^2-315x+622_< 0

C: (2x-311)(x-2)_< 0

("_<" means greaten than for equal to)

You might be interested in

Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table?

Ganezh [65]

★ 100% of 15 = X

$\implies \mathsf{100\%\;of\;15 = \left(\dfrac{100}{100} \times 15\right) = 15}$

$\implies \mathsf{X = 15}$

★ 20% of 15 = Y

$\implies \mathsf{20\%\;of\;15 = \left(\dfrac{20}{100} \times 15\right)}$

$\implies \mathsf{20\%\;of\;15 = 3}$

$\implies \mathsf{Y = 3}$

Answers : X = 15 and Y = 3

8 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL GIVE OUT BRAINLIST

guapka [62]

Hope this helped :)
Check the image below for working

3 0

2 years ago

Pls answer this i need help

Vitek1552 [10]

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.

therefore, the correct simplification looks like

16 - 8 - 6x

8 - 6x or -6x + 8

Amelia multiplied correctly, but then made a mistake summing things up

10x - 3(4x + 1)

10x - 12x - 3

10x - 12x = -2x

I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

so, the result is

-2x - 3

6 0

2 years ago

Please help 4+(-10)-(-9)

Hunter-Best [27]

Answer:

-15

Step-by-step explanation:

-10+-9=-19+4=-15

5 0

2 years ago

Read 2 more answers

The coordinates below represent two linear equations.

marshall27 [118]

Look at the first line in the first problem.
x y
–6 –6
–4 –3
find the slope:
y2-y1 / x2-x1
-3+6 / -4+6
3 / 2
the slope is 3/2. now plug this into point-slope form, along with one of the ordered pairs. i'll use (-4,-3) because the numbers are smaller.
y-y1=m(x-x1)
y+3=3/2(x+4)
y+3=3/2x+6
y=3/2x+3

now do the same for the other line.
x y
0 3
2 6
actually, this one's convenient, because it tells you the y-intercept is 3 (when an ordered pair has a 0 as its x coordinate, that means its on the y axis). so we just have to find the slope.
y2-y1 / x2-x1
6-3 / 2-0
3/2
the line is y=3/2x+3. it's the same line as before. that means there are infinitely many solutions, because there are an infinite amount of points where the lines "cross" each other (since they lie on top of each other).

follow the same procedure for the next problem. if the equations turn out to be the same, it has infinite solutions. if the two lines have the same slope but different intercepts, that means they're parallel, and have no solution since the lines will never intersect. if the lines have different slopes, they will have one solution. and it makes no sense for lines to intersect at two different points, so you can ignore that option altogether.

hope this helps

6 0

3 years ago