Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
what is the answer to 2q + 2 +9
Answer:
Step-by-step explanation:
2
+
2
+
9
2q+2+9
2q+2+9
Simplify
1
Add the numbers
2
+
2
+
9
2
+
1
1
Solution
2
+
1
1
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
16.69 cm³
Step-by-step explanation:
In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism
Volume of the cylinder assuming there is no prism through it
V=πr²h where r is radius of the cylinder and h is height of the cylinder
Given that diameter = 2, then r= 1 cm and height, h = 6cm
V= π * 1 * 1 * 6
V= 18.85 cm³
Volume of the rectangular prism
V= l*w*h
V= 6*0.6*0.6
V= 2.16 cm³
The volume of the cylinder without the prism
18.85 cm³-2.16 cm³ = 16.69 cm³
Answer:
Not an answer
Step-by-step explanation:
Which number is between -0.49 and 0.01 on a number line?
Alvin is 15 younger than elga the sum of their age is 27 what is elga age
Answer:
27 years old
Step-by-step explanation:
Let Alvin's age be x and Elga's age is y:
y - x = 15
x + y = 27
2y = 42 (use elimination method)
y = 21
x = 6 (plug it back into either equation)
Therefore Alvin is 6 and Elga is 27
Solve the problem. Round the solution to the nearest hundredth where applicable. What is the tangent of ZH?
check photo for image and options
Two employees Maggie and Rachel earn $18 per hour. Maggie receives 1.00 raise each 6 months and Rachel receives a 6% raise each year. Write an equation to represent Maggie pay over x years
1206.37 ROUNDED TO NEARST HUNDRETH
Answer:
It is already rounded
Step-by-step explanation:
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
Here is a number machine.
Answer:
The output is 3n + 6
Step-by-step explanation:
You have to apply all of the steps in order:
Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.
Answer: 3n + 6
what is 5000000000000000times 409458374.9394ir
Answer:
2,047,291,874,697,000,000,000,000
Step-by-step explanation:
that is the answer to the multiplication statement xD
Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstone’s diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form.
Answer:
the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.
Step-by-step explanation:
I'm not sure if that's what you were asking for but there .
brainiest please.
1. Find the slope and y-intercept of the graph of the following equation.
y=-x+4
Answer:
Slope -1 , y intersept is (0,4)
Answer:
Y intercept=4 and the slope is -1/1 or -1
Step-by-step explanation:
The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1
What are is the answer here and why? Use the notes in the left.
Answer:
X = 3.
explanation is in the picture.
hope it helps.
Answer:
x = 3
Step-by-step explanation:
2(3x -5) + 3x + 3 = 20
^^ solve parenthesis
6x - 10 + 3x + 3 = 20
+10 +10
add ten to both sides
6x + 3x + 3 = 30
add like terms
9x + 3 = 30
-3 -3
subtract 3 from both sides
9x = 27
divide both sides by 9
x = 3
this too pls pls pls
Answer:
0.333n + 28 ; 33.3 ; $41.653
Step-by-step explanation:
For the best fit line :
The slope of the graph :
Drawing a right angled triangle at any point on the best fit line :
Gradient = (y2 - y1) / (x2 - x1)
Gradient = (45 - 30) / (50 - 5)
Gradient = 15 / 45
Gradient = 0.333
Intercept :
Where best fit line crosses the y - axis = 28
b = 0.333n + 28
The extra cost of each extra call made made is the slope of the graph :
$0.333 = 33.3 cents
Estimated cost of 41 calls
b = 0.333(41) + 28
b = $41.653
Kindly note that, the values used were obtained from a graph which isn't lined, therefore values taken may not be very accurate.
What is the sum of the expression below? (9c – 8d) + (2c – 6) + (–d + 3)
A. 11c + 9d – 9
B. 11c – 9d – 3
C. 7c – 7d – 3
D. 7c – 9d + 3
Answer:
Answer:
11c−9d−3
Step-by-step explanation:
9c−8d+2c−6−d+3
=9c+−8d+2c+−6+−d+3
=9c+−8d+2c+−6+−d+3
=(9c+2c)+(−8d+−d)+(−6+3)
=11c+−9d+−3
Answer--
=11c−9d−3
90 Points! Select the correct answer. (Screenshot attached)
[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]
Option C
SOLVE FOR X, EXPLAIN PLEASE URGENT.
roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation
Answer:
he can buy 5 quarts of milk
Step-by-step explanation:
find the length of side a HURRRY
Step-by-step explanation:
Since it is a right-angled triangle,
we have a² + 5² = 13². (Pythagoras' Theorem)
=> a² = 13² - 5² = 144, a = 12. (C)
Denise owes her friend Jessica $25. She pays her back $17. How much
does she still owe?
Answer:
8
Step-by-step explanation:
25-17
thanks me later
An ice cream factory makes 210 quarts of ice cream in 2 hours. Calculate the unit rate of quarts per hour.
Answer:
105 quarts an hour
Step-by-step explanation:
divide 210 by 2
A holiday costs £1900. Work out the price after a 9% discount
Hey there!
The answer to your question is £1729.
To solve this equation, first we find how much is left. 100% - 9% = 91 %. That means that the new price is 91% of the old price. So, we can do 0.91 x 1900, and we get 1729.
Therefore, the new price is £1729.
Hope it helps! Have a great day, and good luck!
A holiday costs £1900.The price after a 9% discount is £1729
For better understanding , check the calcualtion to find out price after discount below.
CalculationA holiday costs £1900. we need to find out the price after a 9% discount
We are given with 9% discount. find out the discount amount from the cost .
Discount amount = original cost * the discount percentage
discount amount
[tex]1900 \cdot 9percent\\\\1900 \cdot \frac{9}{100} \\171[/tex]
Discount amount is £171
Now subtract the discount amount from the original cost
Final cost after discount is
[tex]1900 - 171 \\1729[/tex]
A holiday costs £1900.The price after a 9% discount is £1729
Learn more information about 'Discount' here
brainly.com/question/851744
Which one is equivalent? Answer needed ASAP!!
Will mark Brainliest!!
Answer:
-5÷17, -5/17, 5/-17
Step-by-step explanation:
Answer:
-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)
Step-by-step explanation:
solve the system using elimination -2x + y = 11 2x + 3y= 17
Answer:
point form: (-2,7)
equation form: X = -2, Y = 7
x - y = 2
x + y = -3
Solve this using elimination
Quickly please!!!!
Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?
Answer:
[tex]Probability = 0.2975[/tex]
Step-by-step explanation:
Giving:
Swimming
[tex]P(Win[Swim])= 65\%[/tex]
Running
[tex]P(Win[Run])= 85\%[/tex]
Required
Determine the probability of winning at running and losing at swimming
First, we calculate the probability of losing at swimming using
[tex]P(Win) + P(Lose) = 1[/tex]
Substitute 65% for P(Win)
[tex]65\% + P(Lose[Swim]) = 1[/tex]
Collect Like Terms
[tex]P(Lose[Swim]) = 1 - 65\%[/tex]
[tex]P(Lose[Swim]) = 35\%[/tex]
The required probability is then calculated using:
[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]
[tex]Probability = 85\% * 35\%[/tex]
Convert to decimal
[tex]Probability = 0.85 * 0.35[/tex]
[tex]Probability = 0.2975[/tex]
Write a real-world problem that is represented by the inequality below. x >5
On Saturday Hallie received a $20 allowance. By Tuesday she had spent $9.35 and on Wednesday she
spent $8.20. How much of Hallie's allowance was left after Wednesday?
Find the sum or difference:
(2w - 9) + (-4w - 5)
(6d + 5) - (2 - 3d)
(4 - 5y) - (2y - 16)
Answer:
-2w+-14
3d+3
-7y+-16
Step-by-step explanation:
Remove ()- 2w+-9+-4w+-5
2w+-4w = -2w
-9+-5 = -14
-2w+-14
Remove ()- 6d+5+-2+-3d
6d+-3d = 3d
5+-2 = 3
3d+3
Remove ()- 4+-5y+-2y+-16
-5y+-2y = -7y
4+-16 = -12
-7y+-12
[tex] {3}^{4} \times x \times ( \frac{3}{ {x}^{2} } ) {}^{2} [/tex]
how do you do this please
Answer:
the solution for x²+2x+8<0