Answer: 108
Step-by-step explanation:
f(x) = x2. What is g(x)?
If – 2/3X – 1 = 4, then x =
Answer:
2/5
Step-by-step explanation:
The value of x will be x = -15/2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation – 2/3X – 1 = 4
Here, we need to solve for x,
– 2/3X – 1 = 4
Now combine the like terms;
– 2/3X = 4 + 1
-2/3x = 5
x = -15/2
Therefore, the solution will be as;
x = -15/2
The value of x will be; x = -15/2
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Determine the approximate average rate of change in the number of tickets sold between the 3rd and 10th days after the release.
OA.
OB.
The number of tickets sold changed at an average rate of approximately -20 tickets per day.
The number of tickets sold changed at an average rate of approximately – 7 tickets per day.
The number of tickets sold changed at an average rate of approximately –10 tickets per day.
The number of tickets sold changed at an average rate of approximately –3 tickets per day.
Ос.
D.
Answer:
-3 Is the average rate
Step-by-step explanation:
The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.
What is the average rate of change?The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
The rate of change is calculated by the formula below:-
Rate of change = Final value - initial value.
From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.
The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-
Rate of change = Final value - initial value.
Rate of change = 80 - 100
Rate of change = -20
Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.
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which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21
Answer:
D. The equation has a maximum value with a y coordinate of -21Step-by-step explanation:
The quadratic equation has the extreme value at vertex with x-coordinate of
x = -b/2aFor the given equation the vertex is:
x = -12/2(-3) = 2The value of y at x = 2 is:
y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21Since the leading coefficient is negative, the extreme is the maximum for the given equation.
Correct choice is D
[tex] \sqrt{18} - \sqrt[x]{2 } = \sqrt{32} [/tex]
solve for x
A taxi service charges a flat fee of $4.20 per ride plus an additional $.80 per mile.
If a taxi ride costs $6.60, how many miles did the taxi travel?
A. 2
B. 3
C. 3.5
D. 4
Answer:
B.)
6.60
4.20
-______
Given a rectangle with length of (2x+9)cm and width of (3x+1)cm.Two squares, each with sides x cm is removed from the rectangle.The remaining shape has an area of 83cm².Find the value of length and width of the rectangle.
Answer: The length is 13cm and the width is 7cm
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = W*L
In this case we have:
L = (2*x + 9) cm
W=(3*x + 1) cm
Then the area of the rectangle is:
A = (2*x + 9)*(3*x + 1) cm^2
A = (6*x^2 + 2*x + 27*x + 9) cm^2
A = (6*x^2 + 29*x + 9) cm^2
now we remove two squares with sides of x cm
The area of each one of these squares is (x cm)*(x cm) = x^2 cm^2
Then the area of the figure will be:
area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2
area = (4*x^2 + 29*x + 9) cm^2
Now we know that the area of this shape is 83 cm^2, then we need to solve:
83 cm^2 = (4*x^2 + 29*x + 9) cm^2
0 = (4*x^2 + 29*x + 9) cm^2 - 83 cm^2
0 = (4*x^2 + 29*x - 74) cm^2
Then we need to solve:
0 = 4*x^2 + 29*x - 74
Here we can use Bhaskara's equation, the solutions of this equation are given by:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)} }{2*4} = \frac{-29 \pm 45}{8}[/tex]
Then the two solutions are:
x = (-29 - 45)/8 = -9.25 (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).
The other solution is:
x = (-29 + 45)/8 = 2
x = 2
Then the length and width of the rectangle are:
Length = (2*2 + 9)cm = 13 cm
Width = (3*2 + 1)cm = 7cm
Gilded Gifts Company hires employees to make handmade greeting cards. The manager is determining how the time spent training new employees affects their production of greeting cards. The scatter plot below shows how many greeting cards each employee made the past month and the number of hours of training the employee received. A line of best fit is drawn.
Complete the statements based on the scatter plot.
The slope of the line of best fit is
. This means that for every additional hour of training,
more greeting cards are expected to be made per month.
Without any training, an employee is expected to make
greeting cards per month.
If an employee has 70 hours of training, the employee is expected to make
greeting cards per month.
Answer:
I think its A
Step-by-step explanation:
a. The equation of the trend line is c=5x+100.
b. The equation of the trend line is c=-5x+100.
c. As the hours of training increase by 5, the greeting cards made increases by 25.
d. As the hours of training increase by 5, the greeting cards made decreases by 25.
Answer:
The slope of the line of best fit is 5.
Without any training, an employee is expected to make 100 greeting cards.
If an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.
Step-by-step explanation:
First, find the slope of the line of best fit by substituting any two points on the line into the slope formula. The following calculation uses (10,150) and (20,200).
So, the slope of the line of best fit is 5.
The y-intercept is the point at which the line crosses the y-axis or when x = 0. So, the y-intercept of the line of best fit is 100.
The equation of the line of best fit can be represented in slope-intercept form, where the slope, m, is 5 and the y-intercept, b, is 100.
A slope of 5 in this situation means that for every additional hour of training, 5 more greeting cards are expected to be made per month. The y-intercept is 100 when the number of hours of training is 0. So, without any training, an employee is expected to make 100 greeting cards.
To find the number of greeting cards an employee would produce after receiving 70 hours of training, substitute x = 70 into the equation for the line of best fit and solve for y.
So, if an employee has 70 hours of training, the employee is expected to make 450 greeting cards per month.
Please help.
Is algebra.
YO please help actually been waiting for an hour and a half cuz so many trolls lol. <3 giivng brainliest, and ty in advance guys
Hello!
For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.
This means that to find [tex]x[/tex], we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.
This means that 9 should also be the side length of side AD, which we're given a value of [tex]x/3[/tex].
[tex]x/3=9[/tex]
Solve.
[tex]x=27[/tex]
Hope this helps!
a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton candy and spent 12$. If the customer brought 2 bags of popcorn, how many orders of cotton candy were purchased?
Answer:
3
Step-by-step explanation:
12$-3$-3$=6 meaning they spent 6 Dollars on popcorn, and now have 6 left to spend, and with the cotton candy being $2 each, that means they bought 3 cotton candys
hope this helps!!!
5. Rizza bought 24 face masks for Php172.80 and sold them for Php10.00 each. How much profit did she get? A. Php 62.50 B. Php67.20 C. Php40.00 D. Php67.50
Answer: Rizza got a profit of Php 67.20---B
Step-by-step explanation:
Profit = Selling Price - Cost Price
But
Selling price =Php10.00 x 24=240Php
Cost Price =Php172.80
Therefore,
Profit=Php240 -Php172.80
=Php 67.20
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How
many dimes does Carter have?
Calculate the net profit margin for a
lamp sold for $80 that has a $50 cost
of goods sold and 20% operating
expenses.
A. 28%
B. 18%
C. 25%
D. $14
Does anyone know this answer??
Answer:
Obtuse
Step-by-step explanation:
One of the angles is above 90 degrees
Answer:
Its not acute or right.
It’s the size of obtuse
No idea what equilateral
To find the total cost ( c ), substitute the value of (p) you just found, 285.7 , into one of the equations in the system
Answer:
c = 214.28 OR 214.275
Step-by-step explanation:
You could do c = 0.75(285.7) and you would get c = 214.275
what is the dividend of 20 times 50
Answer:
1000
Step-by-step explanation:
Answer:
20 × 50
= 1000
Although u say dividend, which is division, not too sure here
A shark is swimming 25 feet below the surface of the water. It goes down another 12 feet. What is the new depth the shark is swimming at?
Answer:
37 feet below the surface or -37 ft
Step-by-step explanation:
HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!
Answer: B
Step-by-step explanation:
you use the coordinates to find the sides
Triangle AB is 15 BD 9 what is area ABC
Answer:
it is your answer...... if it is helpful plzz like ans comment
Find the slope pleaseeee hurry
Answer:
slope is -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let ( x1 , y1) = ( -4 ,1 )
(x2 , y 2) = ( -2 , -1 )
Now
slope (m)
= ( y2 - y1) / (x2 -x1)
= ( -1 - 1) / ( - 2 + 4)
= -2 /2
= - 1
Hope it helps :)
Mr. Torres bought 3 chairs on Saturday. He paid d dollars for each chair. Mr. Torres received $15 dollars in change when he bought the chairs. Which expression can be used to find the total amount Mr. Torres paid for these chairs
Answer: c. 3d + 15
Step-by-step explanation:
Mr. Torres paid d dollars for each of the three chairs which gives the expression of:
= 3 * d = 3d
He then paid with an amount that was greater than this 3d and got a change of $15.
That total amount that he paid is therefore, the price of the three chairs added to the $15 that he received back.
= 3d + 15
Explain how you would use the Distributive Property to simplify the following expression: 4(c + 8) when c = 2
Answer:
40
Simplified equation:
8+32
Step-by-step explanation:
4(2+8)
x4
8+32
40
If the mother's name is Mrs.62,Her son's name is 52 & her daughter's name is 42 ,then what is the name of father????
Answer:
Either Mr.62 or 72
Because if her name is 62 that means thats his name, but also it went down 10 so therefore his name could be 10 above
Answer:
72
Step-by-step explanation: beacuse the mother is 62 so the fartheher has to be older
Find the measures of the numbered angles
Pls hurry will give BRAINLYEST Jillian wanted to determine the difference of 7 and a number, n. She wrote in a table several possible expressions she could use to represent this. Which is the correct expression number?
Expression Number
Expression
1
n minus 7
2
7 minus n
3
7 n
4
StartFraction n Over 7 EndFraction
Expression number:
To find the difference between two numbers you would subtract them.
You are told the first number is 7 and you want to find the different of 7 and a number, which is represented by the letter n.
To find the difference you would subtract n from 7, which would be written as 7 - n
The correct answer would be 2. 7 - n ( 7 minus n)
Answer: 7 - n (Look at the explanation to understand it clearly)
Normally you'll subtract this equation, but since there isn't a number but is a variable, you would have to rewrite it.
In this problem, we would represent n as the variable and 7 as the number. Rewrite it like this:
7 - n
Or you could say it like this:
A number decreased by 7.
"A number" would represent the variable.
Hence, your answer is 7 - n.
Nick wants to build a banister for the staircase in his home. The height of the staircase is 8 feet, and the horizontal distance from the bottom to the top of the staircase is 15 feet.
What is the length of the banister? Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
By the Pythagorean Theorem
c^2=a^2+b^2 ( where c is the hypotenuse and a and b are the legs of a right triangle)
c^2=15^2+8^2
c^2=225+64
c^2=289
c=17 feet
need help don't know what I'm doing !!!!!
Answer:
50
Step-by-step explanation:
m a t h w a y is helpful too!
Tres empleados de una empresa tienen que pagar 3100€ de impuestos entre todos de forma inversamente proporcional a su sueldo mensual. Si Javier cobra 1500€, Antonio, 2000€, y Elvira, 1800€, ¿cuánto tiene que pagar cada uno?
Answer:
La cantidad que Javier paga como impuesto, A es de 1.200 €
La cantidad que Antonio paga como impuesto, B es 900 €
El importe que paga Elvira como impuesto, C es de 1.000 €
Step-by-step explanation:
Dejemos que 'A', 'B' y 'C', representen la cantidad que pagan Javier, Antonio y Elvira respectivamente, y que 'k' represente la constante de proporcionalidad, por proporcionalidad inversa, tenemos;
A = k / 1500, B = k / 2000, C = k / 1800
A + B + C = 3100
∴ k / 1500 + k / 2000 + k / 1800 = 3100
Simplificando la ecuación anterior usando una calculadora gráfica da;
31 · k / 18 000 = 3100
k = 18.000 × 3.100 / 31 = 1.800.000
k = 1.800.000
La cantidad que Javier paga como impuesto, A = 1.800.000 / 1.500 = 1.200
La cantidad que Antonio paga como impuesto, B = 1.800.000 / 2.000 = 900
La cantidad que paga Elvira como impuesto, C = 1.800.000 / 1.800 = 1.000
A rectangular tank of length 22cm, width 9cm and height 16cm is filled with water. The water is poured into a cylindrical container of radius 6cm.Calculate the volume of the rectangular tank
Answer:
3168 cm³
Step-by-step explanation:
From the question,
The volume of the rectangular tank = Length×width×heigth
V = lwh.................... Equation 1
Where l = length, w = width, h = heigth.
Given: l = 22 cm, w = 9 cm, h = 16 cm
Substitute these values into equation 1
V = 22×9×16
V = 3168 cm³
Hence the volume of the rectangular tank is 3168 cm³