Answer: [tex]2x^{2} - 10x -28[/tex]
Step-by-step explanation:
We know that f(x) = 2x +4 and g(x) = x -7 so to find f(g(x)) multiply them.
(2x + 4)(x-7) Apply the distributive property twice
2x(x-7)
2x^2 - 14x
4(x-7) = 4x - 28
2x^2 - 14x + 4x -28
2x^2 -10x - 28
A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?
If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540
The actual revenue collected was $450. The difference between $540 and $450 is $90.
The difference between the student and faculty tickets are $2.50-$2, or .50
$90.00 / .50 = 180 student tickets sold.
That leaves 216-180, or 36 as faculty tickets.
180 student tickets at $2 = $360
36 faculty tickets at $2.50 = $90
$360 + $90 = $450
Recycled CDs, Incorporated, offers a choice of 5 used CDs for $23 with each additional CD costing $3 Write a cost function for purchasing 5 or more CDs. What will the cost of buying 10 Ds be? Let x represent the number of CDs over 5
Answer:
-f(x)=23+3x
-The cost of buying 10 CDs will be $38.
Step-by-step explanation:
From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:
f(x)=23+3x, where:
x represents the number of CDs over 5
Using this function you can determine the cost of buying 10 CDs:
x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:
10-5= 5
Now, you can replace the value of x:
f(x)=23+(3*5)
f(x)=23+15=38
According to this, the cost of buying 10 CDs will be $38.
50% of what number is 11.72
Answer:
50% of what number is 11.72 = 23.44
Step-by-step explanation:
50% is half, so simply doube it.
if f(x) = 5x + 40, what is f(x) when x= -5
All we need to do is substitute and solve:
f(-5) = 5(-5) + 40
f(-5) = -25 + 40
f(-5) = 15
Best of Luck!
How do you add and subtract intergers.
Answer:
Add a positive integer by moving to the right on the number line.
Subtract an integer by adding its opposite.
Step-by-step explanation:
Step-by-step explanation:
1, Add a positive integer by moving to the right on the number line.
2, Add a negative integer by moving to the left on the number line.
3, Subtract an integer by adding its opposite.
4x - 7 = -3x
What is the answer?
Answer:
x = 1
Step-by-step explanation:
1. Add 3x to both sides of the problem
4x + 3x - 7 = -3x + 3x-3x + 3x cancels out and leaves us with zero7x - 7 = 02. Add 7 to both sides
7x (- 7 + 7) = 0 + 7-7 + 7 cancels out7x = 73. Divide both sides by 7
7x/7 = 7/7x = 1To make sure our answer is correct we can plug in 1 to x in the problem
4(1) - 7 = -3(1)4 - 7 = -3 : TrueAnswer: x= 7
Step-by-step explanation:
4x-7= -3x First add -3x on both sides
+3x +3x
7x -7 = 0
+7 +7 add 7 to both sides
7x = 7
x = 1 divide both sides by 7
look at image. reflection across x=-1
Answer:
U 0,-2 S -2,-1 T -3 -5 will be the new points
Step-by-step explanation:
1. In the expression 9x-11.9 is a coefficient
Answer:
9 is a coefficient
Step-by-step explanation:
9x-11.9
A coefficient is the number in front of the variable
9 is a coefficient and -11.9 is a constant
If (x + 5)/2 is an integer, then x must be?
how to do this question plz
Answer:
8
Step-by-step explanation:
Gradient = Slope
In y = mx + b
m is the gradient of the straight line
[tex]gradient = 8[/tex]
The noontime temperature was 29°F. This was 4°F lower than predicted. Write and solve an equation to determine the predicted noontime temperature
Answer:
29x-4
Step-by-step explanation:
David's airplane trip took 3.8 hours. For one-half of that time, the airplane flew at a speed of 680 miles per hour, and for the rest of the time, it flew at a speed of 740 miles per hour. What distance did David travel?
Answer:
2,698 mi
Step-by-step explanation:
3.8 hr × 1/2 = 1.9 hr
680 mi/hr × 1.9 hr = 1,292 mi
740 mi/hr × 1.9 hr = 1,406 mi
1,292 mi + 1,406 mi = 2,698 mi
Question 5 of 10
Which of the following functions best describes this graph?
Answer:
A
Step-by-step explanation:
The function that best describes the graph is y = x²-9x+1+20
What is function?A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).
Given that, a graph, we need to find its function,
The parabola is intersecting the x-axis at 4 and 5, therefore, the function in the option having value of equal to 4 and 5 is the function of the graph,
So, the first function is =
y = x²-9x+20
Put y = 0,
x²-9x+20 = 0
Factorizing the equation to get the values of x,
x²-9x+20 = 0
x²-4x-5x+20 = 0
x(x-4)-5(x-4) = 0
(x-5)(x-4) = 0
Therefore,
x = 5, 4
Since, the function is having solutions x = 5 and x = 4, therefore, the graph is of the function y = x²-9x+20.
Hence, the function that best describes the graph is y = x²-9x+1+20
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A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are the coordinates of point C
Answer:
C(-3,3)
Step-by-step explanation:
Given
A = (7,-1)
B = (2,1)
AB:AC = 1:2
Required
Determine the coordinates of C
Since, B is between A and C; we need to determine ratio BC as follows;
[tex]AB:AC = 1:2[/tex]
Convert to division
[tex]\frac{AB}{AC} = \frac{1}{2}[/tex]
AC = AB + BC;
[tex]\frac{AB}{AB + BC} = \frac{1}{2}[/tex]
Cross Multiply
[tex]2 * AB = 1 * (AB + BC)[/tex]
[tex]2 AB = AB + BC[/tex]
[tex]2AB - AB = BC[/tex]
[tex]AB = BC[/tex]
Divide both sides by BC
[tex]\frac{AB}{BC} = 1[/tex]
Rewrite as
[tex]\frac{AB}{BC} = \frac{1}{1}[/tex]
Write as ratio
[tex]AB:BC = 1:1[/tex]
Next is to determine the coordinates of C as follows;
Because B is between both points. we have:
[tex]B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex]m:n = AB:BC = 1:1[/tex]
[tex]B(x,y) = B(2,1)[/tex]
[tex]A(x_1,y_1) = A(7,-1)[/tex]
So; we're solving for x2 and y2
[tex]B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
Solving for x2;
[tex]x = \frac{mx_2 + nx_1}{m+n}[/tex]
[tex]2 = \frac{1 * x_2 + 1 * 7}{1+1}[/tex]
[tex]2 = \frac{x_2 + 7}{2}[/tex]
Cross Multiply
[tex]2 * 2 = x_2 + 7[/tex]
[tex]4 = x_2 + 7[/tex]
[tex]x_2 = 4 - 7[/tex]
[tex]x_2 = -3[/tex]
Solving for y2;
[tex]y = \frac{my_2 + ny_1}{m+n}[/tex]
[tex]1 = \frac{1 * y_2 + 1 * -1}{1+1}[/tex]
[tex]1 = \frac{y_2- 1}{2}[/tex]
Cross Multiply
[tex]2 * 1 = y_2 - 1[/tex]
[tex]2 = y_2 - 1[/tex]
[tex]y_2 = 2 + 1[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of C are: C(-3,3)
Someone please help me! I only have one attempt left.
Answer:
x=18
Step-by-step explanation:
10x-4+x-14=180
11x-18=180
11x=180+18
11x=198
x=[tex]\frac{198}{11}[/tex]
x=18
Answer:
x = 18
Step-by-step explanation:
(10x -4) + (x-14) = 180 (for linear pair)
<=> 10x + x - 4 - 14 = 180
<=> 11x - 18 = 180
<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11
<=> x = 18
The original price of a pair of shoes is $36.00. Edward buys the shoes for 13% off its original price. Two weeks later Chad buys the same shoes for 29% off its original price. How much more money did Edward spend than Chad on the shoes?
Answer:
$6.06
Step-by-step explanation:
Edward: 36.00*0.87=31.32
Chad 36.00*0.71=25.25
31.32-25.25=6.06
$6.06
Hope this helps :-)
|-6| = -|6| Are they equal to each other of which one has more value ?
Answer:
no. |-6| is +
Step-by-step explanation:
whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6
Answer:
|-6| has more value than -|6|
Step-by-step explanation:
|-6| = -|6| are not equal
|-6| = 6 absolute value of a number is positive no matter what is the sign
-|6| = -6 because the minus is out the absolute sign
Jan noticed that she has four times as many dimes as quarters. She has one more nickel than dimes. The
coins totaled $6.00. How many dimes does Jan have?
Answer:
Jan has 28 dimes.
Step-by-step explanation:
It would take 24 quarters or 60 dimes or 120 nickels to make $6.
So, I simply divided 24 by 3, which is 8 (but I did 7).
7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45
1.75 + 2.80 + 1.45 = $6
Sally shot her bow and arrow straight up into the air and she found the maximum height that her arrow reached was 30ft , but she wants to know how long it took to get there , what does she need to find ?
Answer:
Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.
Step-by-step explanation:
Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:
[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]
[tex]0 = v_{o}+g\cdot t[/tex]
Where:
[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.
[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
[tex]t[/tex] - Time, measured in seconds.
In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.
Can someone please tell me if this makes sense in English?, is well written and I have used the expressions well? Please I was learning English.
Dear Grievance Manager
I am writing this letter to bring your attention that I am not satisfied with your quality of sending services at "Adornet".
The last month, on 30th July exactly, I bought in a online way in "Adornet" because i live in other country. It was a collectiable necklace, that had an hourglass in its center.
The managers told me that the order should arrive in two weeks, but it arrived in three and a half weeks. I have been a regular client of your business but now I am complety disappointed, becuase when i received the package i notice that it was in bad condition and I found that the hourglass was broken. The way they packed it had been a lot more sloppy than the other times I shopped here.
i called to the shop the same day and I mentioned that they did not pack the necklace with due protection, but the shop assistant refuse to change it or make a refund. She said that it wasn't a store fault.
Please, I have always been satisfied with your services, but this time I think I'm entitled to a refund of my money and I would like to know how I can get it back. I look forward to hearing fron you soon.
Yours truly.
Gaby D.C
Answer:
Well Written
Step-by-step explanation:
Great Job
composite numbers greater than 10 but less than 20
Answer:
10, 12, 14, 15, 16,18,20
Step-by-step explanation:
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)
Hav a nice day
Happy if i get brainliest
The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, composite numbers must be greater than 10 but less than 20
An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"
In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.
To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.
Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.
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What is commutative property
Find negative square root of 36.
Answer:
The positive and negative square roots of 36 are 6 and −6 .
root of -36=-6
root of 36=6
plZz mark brainliest
A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $24.98. Cole bought several hats, and the total cost was $99.92 , How many hats did cole buy ?
Answer:
8 hats
Step-by-step explanation:
1. .50 x 24.98
2. 12.49 x 8
3. solve 12.49 x 8
4. Equals 99.92
Hope this helps you an stay safe:)
What does "when x is an integer" mean?
Answer:
x = whole-valued numbers without fractions or decimal.
Step-by-step explanation:
An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.
Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.
In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.
For instance;
2x + 5 = 11
2x = 11 - 5
2x = 6
Dividing both sides by 2, we have;
x = 3.
7. If f(x) = x2 – 3x, what is f(5)?
a. 4
b. 8
C. 10
d. 16
Answer: C
Step-by-step explanation:
this is only the answer if the x is squared
plug 5 in for x
(5)^2-3(5)
25-15= 10
Select the product that shows the correct placement of the decimal point
30.76
x 0.08
0 2.4608
0 24.608
X 246.08
2460.8
Answer:
0 2.4608
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
hope this helps
trust me
0.18 repeating fraction in the simplest form.
Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
5y>=75 can someone give me the answer and write how they did it?
Answer:
The answer is y = 15 (I'm pretty sure)
Step-by-step explanation:
Simplifying
5y = 75
Move all terms containing y to the left, all other terms to the right.
Divide each side by '5'.
y = 15
Simplify
y = 15
Answer:
y≥15
Step-by-step explanation:
5 times 15 = 75 so, y= y≥15
once again why is it so dumb???
Answer: vrey suptuidddd
Step-by-step explanation: