9514 1404 393
Answer:
357.70
Step-by-step explanation:
The final cost will be ...
(number of suitcases) × (cost per suitcase) × (1 +8%)
= 2(165.60)(1.08) = 357.70
Find the product. Simplify your answer.
(2c+3)(3c+1)
What is the value of the expression 3 (5to the 3rd power) + 4t to the 2nd power when s = 5 and t = 3?
Answer:
411
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
3s³ +4t² = 3(5³) +4(3²)
= 3(125) +4(9) = 375 +36 = 411
- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?
Answer: Definitely point A
Step-by-step explanation:
tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices.
Answer:
360 days
Step-by-step explanation:
It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.
Hope this helps!
what is (12x2)-(45/5)
Answer:
[tex](12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15[/tex]
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(12 × 2) - (45 / 5) ← evaluate parenthesis
= 24 - 9
= 15
8.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = −2x2 + 2x − 4
C. y = 4x2 + 2x − 4
D. y = −4x2 − 2x − 4
Answer: y= 4x² +2x -4
C. y = 4x2 + 2x − 4
Step-by-step explanation: f(x)=4x^2+2x-4
Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.
Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)
Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get
f(x)=4x^2+2x-4
Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.
...............................................................................................................................................
Answer:
y = 4x² + 2x − 4
Step-by-step explanation:
The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.
y = 4x² +2x -4
There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...
y = 4x² +2x -4 . . . . . as above
...............................................................................................................................................
Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?
HELP ME OUT PLEASE
A die was rolled six times. The polls were 1,2,3,3,4 and 5. What is the mean deviation for this data!
A) 3/5
B) 1
C) 2
D) 6
Answer:The mean deviation of the given data is;
Option B: 1
Step-by-step explanation:
Σ(x - x¯)/n
Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5
x¯ = 3
Thus;
1 - 3 = -2
2 - 3 = -1
3 - 3 = 0
3 - 3 = 0
4 - 3 = 1
5 - 3 = 2
Mean deviation is usually a positive value. Thus;
Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2
Σ(x - x¯) = 6
Thus;
Σ(x - x¯)/n = 6/6
Σ(x - x¯)/n = 1
15.
Use the quadratic model d = -3p^2 + 168p - 315 to predict d if p equals 15.
A. 2880
B. 1845
C. 2160
D. 1530
Answer:
D) 1530
Step-by-step explanation:
I used Desmos :)
3. If Superman can fly .25 miles in 8 seconds, how far could he fly in...
(a) 40 seconds?
Answer:
1.25 miles
Step-by-step explanation:
0.25 miles = 8 seconds
x miles = 40 seconds
0.25/8 = x/40
0.25 * 40 = 8x
10 = 8x
x = 1.25
-Chetan K
{3x−5y=4 -2x+6y=18
Please help solve for x and y
Answer:
hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be
Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.
This can be represented by the exponential function:
[tex]P=378(2)^\frac{t}{36}[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let P represent the population of the bacteria after t minutes.
Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:
[tex]P=378(2)^\frac{t}{36}[/tex]
Find out more at: https://brainly.com/question/12490064
what is 2x3y if x = -2y =4
Answer:
-48
Step-by-step explanation:
2x3y
\/
2(-2) * 3(4)
\/
-4 * 12
\/
-48
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer: -48
Step-by-step explanation:
2(-2)3(4) = -4*12 = -48
Find the product. Simplify your answer.
(4z+4)(z+4)
just letting you know that the variable is x on here thats just what happened it is the right answer though
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1 is 12
2 is 106
3 is 42
Step-by-step explanation:
1: PEMDAS. 5x2=10 4 to the power of 2 is 16 so 18-16=2 2+10=12
2: 9 to the power of 2 is 81. 4x7=28 28-3=25 81+25=106
3: 5 to the power of 2 is 25 7x3=21 25-4=21 21+21=42
Juan has x quarters and y dimes, having a minimum of 16 coins worth at
y
most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.
Element present in a sucrose molecule
Answer:
Carbon, hydrogen and oxygen
Step-by-step explanation:
Hope it can help you lovelots
Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]
[tex]\\ \sf\longmapsto 3=125+b[/tex]
[tex]\\ \sf\longmapsto b=-122[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=-25x-122[/tex]
help me please i beg you
If a crate of 250 apples costs $95, what is the unit cost
The unit cost of an apple in a crate of 250 apples is $2.63.
Given the following data:
Total number of apples in a crate = 250 applesCost of a crate of apple = $95To determine the unit cost of an apple:
In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.
Thus, we would divide the total number of apples by the total cost of all the apples as follows:
[tex]Unit\;cost = \frac{Total\;apples}{Total\;cost}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Unit\;cost = \frac{250}{95}[/tex]
Unit cost = $2.63
Read more on cost here: https://brainly.com/question/13214374
Relatively Simple Math, pls lend a hand. 50 points and Brainliest
Answer:
B. 192 miles in 3 hoursStep-by-step explanation:
Mr. Anderson's rate is:
480 / 7.5 = 64 mphGiven options, find rates and compare with the above number:
A. 120/2 = 60 mph, NoB. 192/3 = 64 mph, YesC. 100/1.5 = 66.66 mph, NoD. 240/3.25 = 73.85 mph, NoAmanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds interest yearly at a rate of 3.75%. How much money will be in Amanda's college fund when she turns 18? Round your answer to the nearest cent.
A. $20,652.19
B. $19,149.68
C. $20,146.75
D. $19,399.29
Answer:
D. $19,399.29[tex] \: \: \: \: \: \: [/tex]
CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!
Answer:
10 units
Step-by-step explanation:
Area of smaller ∆ ,
= 1/2 * 2 * 2 = 2 u
Area of larger ∆ ,
= 1/2 * 4 * 4 = 8u
Total area = 8u + 2u = 10 units
Please Help! I will give you a lot of points! (It's really the guess & check I'm having trouble with. Is there an easier way to find the standard divisor (d)?)
Four people pool their money to buy 60 shares of stock. The amount that each person contributes is shown in the following table. Use Adam's method with d=108 to apportion the shares of stock.
----Only pay attention to number 12 in the picture
Answer:
See below
Step-by-step explanation:
The given modifier solves this without further update.
See attached table
This table represents the gallons of water, g, left in a hot tub after draining it for m minutes.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
Drag and drop the slope and y-intercept into the corresponding boxes.
available options are -32, 15,32,480
Answer:
The answer is slope: -32 y-intercept:480
Step-by-step explanation:
I took the test
Answer: slope -32 y-intercept 480
Step-by-step explanation:
Took the k12 test
if f(x)= -2x^3 +14-8
if g(x)= 2x+6
find p(x) and g(x)
hurry upp please
Answer:x=3
Step-by-step explanation:
14/3, 343/32, 26/3 all in its simplest form
Answer:
Step-by-step explanation:
14/3 = 4⅔
343/32 = 10 ²³/₃₂
26/3 = 8⅔
Can someone answer these questions? Thank you!
Answer:
It's not a function
Because it's not a function, you don't have to answer b and c
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
What is the inverse of this function? f(x)=x−7
Answer:
f^−1(x) = x + 7Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
