Answer:
the answer is the last one, f(x) = 4x + 3
The wheely fast co. Makes custom skateboards for professional riders. They model their profit with the relation P=-2b^2 + 14b - 20, where b is the number of skateboards they produce(in thousands) and P is the company's profit in hundred thousands of dollars. When does wheely fast break even?
Answer:
The answer is below
Step-by-step explanation:
Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.
Given the profit function:
P=-2b² + 14b - 20
At breakeven P = 0, hence:
0 = -2b² + 14b - 20
-2b² + 14b - 20 = 0
-2b² + 10b + 4b - 20 = 0
-2b (b - 5) + 4(b - 5) = 0
(b - 5)(-2b + 4) = 0
b - 5 = 0; or -2b + 4 = 0
b = 5; or b = 2
Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
Which exponential function is represented by the graph
Answer:
the answer is "B" the second one...
(1/2)(2)^x
at
0 = (1/2)(1) = 1/2
2= (1/2)(4) = 2
Step-by-step explanation:
The solution set for -18 < 5x - 3 is _____.
A. 3 > x
B. -3 > x
C. 3 < x
D. -3 < x
Answer:
D. -3 < x
Step-by-step explanation:
-18 < 5x - 3
-18 + 3 < 5x
-15/5 < 5x/5
-3 < x
Which set best represents the positive integers?
O A. {1, 2, 3, 4, ...)
OB. {0, 1, 2, 3, 4, ...)
O C. {..., -4, -3, -2, -1}
D. {..., -3, -2,-1, 0, 1, 2, 3, ...)-
Answer:
A
Step-by-step explanation:
The positive integers are numbers that start at 1 and go on towards the right: are natural numbers 1,2,3,4,5,6,7,...
Elijah has \frac{1}{2} 2 1 bag of candy. A bag of candy weighs 55 pounds. How many pounds of candy does Elijah have?
Answer: 137.5 pounds
Step-by-step explanation:
Elijah has 2¹/₂ bags of candy. A single bag of candy weighs 55 pounds so to find the quantity of pounds that Elijah has, multiply 55 by the number of bags that Elijah has:
First convert bags to mixed fraction:
= 2¹/₂ = 5/2
Quantity that Elijah has:
= Number of bags * Weight per bag
= 5/2 * 55
= 137.5 pounds
Tylers mom had a coupon for four dollars each of the train tickets.If they bought If they bought five train tickets and paid a total of $145, what was the original cost of each ticket?
Answer:
The original cost of each ticket will be = $33
Step-by-step explanation:
Number of coupons Tylers mom had = 5
The value of each coupon is = $4
Total value of coupons = 5 x 4 = $20
In order to find the original cost of the ticket, we just have to add the value of coupons to the amount paid for tickets.
The original cost of tickets = $145 + $20
The original cost of tickets = $165
Thus, the original cost of each ticket will be = 165 / 5
Thus, the original cost of each ticket will be = $33
The sides of a triangle are x cm, (x -1) cm and (x+2) cm. IF the perimeter is 31 cm, then the SHORTEST side is
Answer:
9 cm
Step-by-step explanation:
Applying,
P = a+b+c................. Equation 1
Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.
From the question,
Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm
Substitute these values into equation 1, and solve for x
31 = x+(x-1)+(x+2)
31 = 3x+1
3x+1 = 31
3x = 31-1
3x = 30
divide both side by 3 to get x
3x/3 = 30/3
x = 10.
Therefore, the sides of the triangle are
a = x = 10 cm,
b = (x-1) = (10-1) = 9 cm
c = (x+2) = (10+2) cm = 12 cm
Hence the shortest side is 9 cm
Change 5x - 6y =3 into a slope-intercept form.
A. Y = -5/6x + 1/2
B. 6y = 5x + 3
C. Y =5/6x - 1/2
D. X = 6/5y + 3/5
PLS HELP. I NEED TO PASS THIS
What is 3 the cube root of
The following is a student’s work when solving for y. There is a mistake in the work. What is the mistake? What is the correct answer? Explain. Step 1: P=2x+2y Step 2: P+2x=2y Step 3: P+2x2=y
Answer:
Part 1
The mistake is Step 2: P + 2·x = 2·y
Part 2
The correct answer is
Step 2 correction: P - 2·x = 2·y
(P - 2·x)/2 = y
Step-by-step explanation:
Part 1
The student's steps are;
Step 1; P = 2·x + 2·y
Step 2: P + 2·x = 2·y
Step 3: P + 2·x/2 = y
The mistake in the work is in Step 2
The mistake is moving 2·x to the left hand side of the equation by adding 2·x to P to get; P + 2·x = 2·y
Part 2
To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;
Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y
∴ P - 2·x = 2·y
(P - 2·x)/2 = y
y = (P - 2·x)/2
Hurry!
Solve for X, Round to the nearest tenth, if necessary
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
Tiger is playing for the Masters Championships. His goal for the week is to average at most 68 for his rounds of golf. During his first three rounds he scores 69, 67, and 70. Which inequality could be used to determine what he must score on his fourth round is S represents the fourth round score?
Answer:
B
Step-by-step explanation:
4 scores add all together divided by 4 needs to be greater or equal to his goal
x(x+2) + y (x + 2) - 5(x + 2)
factor
Answer:
x² + xy - 3x + 2y - 10
Step-by-step explanation:
x(x + 2) + y(x + 2) - 5(x + 2)
x² + 2x + y(x + 2) - 5(x + 2)
x² + 2x + xy + 2y - 5(x + 2)
x² + 2x + xy + 2y - 5x - 10
x² - 3x + xy + 2y - 10
x² + xy - 3x + 2y - 10
Johanna buys two poster frames that have the same area, but different shapes. One is a rectangular frame with a width of 40 inches and a length of 30 inches. The other frame is square. What a poster with dimensions of 36 inches X 36 inches fit in the square frame?
Answer:
No, the poster would not fit in the frame
Step-by-step explanation:
A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.
A square is a quadrilateral in which all sides are equal.
Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:
Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²
Since the square frame has the same area as the rectangular frame, hence:
Area of square frame = length * length
length² = 1200
length = √1200 = 34.64
Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.
Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.
Write the word that describes the part of figure A written below.
Answer:
GA = Ray
Step-by-step explanation:
EB = Line
AB = Line Segment
Find the slope of the line through the pair of points.
L(–9, 6), M(–1, –9)
Answer:
slope = y2 -y1/x2 -x1
= -9 - 6/-1 - (-9)
= -15/8
= -1.875
can someone help me plz
Answer:
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Find x round your answer to the nearest tenth of a degree
Answer:
x = 49.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 14/12
Taking the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 (14/12)
x =49.39870535
x = 49.4
Answer:
x = 49.4
Step-by-step explanation:
It's right triangle , so we can use trigonometry functions
tan θ = opposite side / adjacent side
tan x = 14 / 12
Taking inverse tan of each side
[tex] \small \sf \leadsto \: tan { }^{ - 1} (tan \: x \: ) = tan \: {}^{ - 1} ( \frac{14}{12}) \\ [/tex]
x = 49.39870535
Round nearest tenth of degree = 49.4
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
let f={(1,2),(2,3),(5,6),(7,8) evaluate f(2)and f(5)?
Given:
[tex]f=\{(1,2),(2,3),(5,6),(7,8)\}[/tex]
To find:
The values of f(2) and f(5).
Solution:
If an ordered pair [tex](x,y)[/tex] is in the function [tex]f[/tex], then [tex]f(x)=y[/tex].
In the given set of ordered pairs one ordered pair is (2,3). So, by using the above definition, we get
[tex]f(2)=3[/tex]
In the given set of ordered pairs one ordered pair is (5,6). So, by using the above definition, we get
[tex]f(5)=6[/tex]
Therefore, the value of f(2) is 3 and the value of f(5) is 6.
URGENT a right triangle is shown enter the value of x
Answer:
Hello! answer: 10
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore x = 10 hope that helps!
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Greatest common factor for 5x^2, 10x^3, 6x^5
Answer:
x^2
Step-by-step explanation:
The greatest common factor of 5x^2, 10x^3, 6x^5:
For the numbers, there is no greatest common factor except for 1.
For the variables, the furthest we can go is x^2.
In conclusion, the greatest common factor of 5x^2, 10x^3, 6x^5 is x^2.
The time t required to drive a certain distance varies inversely with the speed, r. If it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour?
A. about 2.91 hours
B. about 160.00 hours
C. about 22.00 hours
D. about 5.50 hours
Answer:
option D
Step-by-step explanation:
4 hours = 40 miles/per hour
? hour = 55 miles/per hour
step one, find rate :
40 divided by 40
1 hour = 10 miles/per Hour
If 4 x 10 = 40
then n x 10 = 55
It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles
Answer is Option D
Find many ways of arranging 24 counters in equal rows as you can. Write a multiplication sentence for each way
Answer:
6×4
2×12
8×3
Step-by-step explanation:
I know!
pls help me with thid
Yo help a nixxa out please the struggle is real
Option C: Three sides measuring 5 in, 12 in, and 14 in.
Can someone pls help me with this :')
7.5cm2
Step-by-step explanation:
5x3cm=15cm2 because of base x height/2 you would do
15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2
Answer:
D.
Step-by-step explanation:
Area of a triangle is bh/2
So your base is 5 and your height is 3.
So you do 5*3 which is 15.
And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16
So 7.5 times 2 is 15
