Answer:
I think y=,48x+2 is correct
The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.
What are equations?Equations are relations between two equal expressions, usually used to find the values of unknown variables using the constants and the values of other variables (if any).
How do we solve the given question?In the question, we are informed that the profit earned by a hot dog stand is a linear function.
We are also informed that it costs the owner $48 each morning for the day's supply and that he earns $2 profit on each hot dog he sells.
We are asked to find the equation of profit y, for the number of hot dogs sold x.
The basic cost to the owner is $48. This will be his fixed cost, irrespective of the number of hot dogs he sells.
His profit on one hot dog is $2. So, his profit on x number of hot dogs sold will be $2x.
His total profit will be equal to the profits he earned by selling x hot dogs minus the basic cost he needs to pay.
∴ Profit earned = Profit on x hot dogs - Basic cost
or, y = 2x - 48.
∴ The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.
Learn more about equations at
https://brainly.com/question/21405634
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Simplify √49 + [√81 - x(9x = 14)]
[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
Answer:
15.25%
Step-by-step explanation:
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
We solve using the z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = μ = 12.34 ounces
σ is the population standard deviation = σ = 0.04 ounce
For x = 12.24
z = 12.24 - 12.34/0.04
z = -2.5
Probability value from Z-Table:
P(x = 12.24) = 0.0062097
For x = 12.30
z= 12.30 - 12.34/0.04
z = -1
Probability value from Z-Table:
P(x = 12.30) = 0.15866
Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice
P(x = 12.30) - P(x = 12.24)
= 0.15866 - 0.0062097
= 0.1524503
Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:
= 0.1524503 × 100
= 15.24503%
= 15.25%
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+232x+134
Answer:
Step-by-step explanation:
when it touch the ground,y=0
-16x²+232x+134=0
-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134
-16(x-29/4)²-16(-861/16)=-134
-16(x-29/4)²+861=-134
-16(x-29/4)²=-134-861
(x-29/4)²=-995/-16=995/16
x-29/4=±√995/4
rejecting negative sign
x=29/4+√995/4=(29+√995)/4≈15.14 second
URGENT HELP NEEDED!!!!!
Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year
What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B
What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)
In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B
In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer
Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.
Answer:
k
Step-by-step explanation:
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
I need help ASAP pleaseeeeeeee
Answer:
1 / 5^11
Step-by-step explanation:
5^ -6 * 5 ^ -5
We know that a^ b * a^ c = a^( b+c)
5^ ( -5+-5)
5^ -11
We also know that
a^-b = 1/ a^b
1 / 5^11
Answer:
1/5^11
Step-by-step explanation:
5^-6 * 5^-5
5^-6+(-5)
5^-6-5
5^-11
1/5^11
Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x < 1
x - 7 < -4
Answer:
The answer is the third one, x - 7 < 4
Step-by-step explanation:
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
Answer:
B
Step-by-step explanation:
They are alternate interior angles so that means they are equal
4x - 30 = 2x
2x = 30
x = 15
How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions? How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions?
Answer and explanation:
To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.
Theorem: the perpendicular bisector of a chord passes through the center of a circle.
Note: a diameter of a circle is a chord that passes through the center of a circle.
slope:1/6 point: (24 ,4)
Answer:
y -4 = 1/6(x-24)
y = 1/6x -2
Step-by-step explanation:
We can point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -4 = 1/6(x-24)
Or we can write slope intercept form
y = mx+b where m is the slope and b is the y intercept
Substituting the points
4 = 1/6(24)+b
4 = 6+b
4-6 = b
-2 =b
y = 1/6x -2
Answer:
[tex]y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x[/tex]
I need help please and thank you!!
Answer:
Option 4
Step-by-step explanation:
2x² + 32 = 0
2x² = -32
x² = -16
sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)
Given that a*b = 2a - 3b, then 2*(-3) =
Answer:
2*(-3)= -6
Step-by-step explanation:
I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6
a regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area
Answer:
a = 120 cm²
Step-by-step explanation:
n = number of sides
edge length
40/n
divide the polygon into n congruent triangles
a = (1/2)(edge * apothem) * number of triangles
a = (1/2)(40/n)(6) * n
n cancels out
a = (1/2)(40)(6)
a = 120 cm²
Please help!!!!!!
Which of these are examples of mutually beneficial interactions? Choose all that apply.
A. Ants living in special hollow thoms in a tree rush out and sting plant-eaters.
B. An orchid grows high in a tree to get more sunlight, but it does not affect the tree.
c. Wolves eat the deer that cannot run as fast as the other deer.
D. A bee gets nectar and pollen from the clover flowers in a meadow.
E. A tick bites a dog and drinks the dog's blood.
Answer:
A. The tree provides shelter for the ants, and the ants help the tree to stay alive
Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock?
Answer:
tan angle = x/5.
Step-by-step explanation:
If I understand your description,
tan angle at bottom of ramp = 1.2/3.
Then tan angle = x/5.
Check my thinking.
Which statements about the factors of the terms in the expression 12 x + 18 x y minus 24 y are true? Select three options.
The factors common to 12x and 18xy are 1, 2, 3, 6, x, and y.
The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
The GCF of the expression is 6xy.
The GCF of the expression is 6.
Answer:
i think the answer is Options B, C and E holds.
Step-by-step explanation:
this makes options B and C a choice:
Given the expression: 12x+18xy-24y
Factors of 12x=1,2,3,4,6,12 and x
Factors of 18xy=1,2,3,6,9,18,x and y.
Factors of 24y=1,2,3,4,6,8,12,24 and y.
next for E this is why its a choice:
12x+18xy-24y=6(2x+3xy-4y)
Answer:
bce
Step-by-step explanation:
I need help with this quickly, I only have a couple hours left before homework is gone.
last day of school is tomorrow....
please answer quickly..
It only has one x intercept
Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
20 POINTS
The function f(x)=45x represents the number of jumping jacks j(x) you can do in x minutes. How many jumpibg jacks can you do in 10 minutes
Answer:
450 jumping jacks
Step-by-step explanation:
f(10) = 45 (10)
45 * 10 is just 450 :)
Answer:
450.
Step-by-step explanation:
f(10) = 45 * 10 = 450 jumping jacks.
What’s the answer to this helpppp pleaseee
Answer:
Y= -1x-1
Step-by-step explanation:
The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1
Derek can carry 65% of his weight in
his backpack while camping. If his
backpack weighs 88.4 pounds, how
much does Derek weigh?
Factor this polynomial expression. 2X2 + 12x + 18
A. 2(x+3)(x+3)
B. 2(x - 3)(x-3)
c. 2(x+3)(x - 3)
D. (2x + 9)(x+2)
[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 12x + 18[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]
Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,
[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = 2 \: ( x + 3)(x + 3)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
A 23 foot ladder is leaning against a wall. The angle of elevation of the ladder with the ground is `58\ degrees.` How far away is the bottom of the ladder from the bottom of the wall? Round your answer to the nearest hundredth.
Answer: 12.19 ft
Step-by-step explanation:
Given
Length of ladder is [tex]23 ft[/tex]
Angle of elevation is [tex]58^{\circ}[/tex]
Suppose the bottom of the ladder is x ft away from the bottom of the wall
from the figure, we can write
[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]
Thus, the distance is 12.19 ft
A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.
Answer:
Correct to 1dp
127.3 cm = 127.0 cm
86.5 cm = 87.0 cm
Upper limits:
127.0 cm = 127.05 cm
87.0 cm = 87.05 cm
Lower Limits:
127.0 cm = 126.95 cm
87.0 cm = 86.95 cm
upper limit of perimeter of rectangle:
P = 2(l+w)
= 2(127.05 + 87.05)
= 2(214.1)
= 428.2 cm
lower limit of perimeter of rectangle:
P = 2(l+w)
= 2(126.95 + 86.95)
= 2(213.9)
= 427.8 cm
therefore;
[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]
The upperbound and the lowerbound for the perimeter of the rectangle are;
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 427.8 cm
To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;
Length; 127.3 cm ≈ 127 cm
Width; 86.5 cm ≈ 87 cm
Thus;
Upper limit of length = 127.05 cm
Lower limit of length = 126.95 cm
Upper limit of width = 87.05 cm
Lower limit of width = 86.95 cm
Formula for perimeter of rectangle is;
P = 2(length × width)
Thus;
Upper bound perimeter = 2(127.05 + 87.05)
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 2(126.95 + 86.95)
Lower bound perimeter = 427.8 cm
Read more on perimeter of rectangle at; https://brainly.com/question/17297081
how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x
Answer:
Step-by-step explanation:
The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x. Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.
To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1). We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3). Finally, we translate the entire new graph downward 5 units.
Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)
9514 1404 393
Answer:
A. (0, -3)
Step-by-step explanation:
Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...
(0, -3)
Please help I’ll give brainliest
b is correct Step-by-step explanation: i took the test
Answer:
There are 6 significant figures in the numbers 1.00421
Step-by-step explanation:
Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.
Hope this help
Pls mark me brainliest.
HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Algebra 1
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.
Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.
Answer:
A: [tex]f(x)=(4x+5)(x-3)[/tex]
B: [tex](-\frac{5}{4} , 0)[/tex] and [tex](3, 0)[/tex]
C: They are parallel, which means they have no endpoint.
Please HELP WITH THIS !!!
