Answer:
31/24
Step-by-step explanation:
multiple 2 by 24, then add 17, which you get 31, and put it over 24
31/24
Which function is a quadratic function? y – 3x2 = 3(x2 + 5) + 1 y2 – 7x = 2(x2 + 6) + 7 y – 2x2 = 6(x3 + 5) – 4 y – 5x = 4(x + 5) + 9
Answer:
Option A.
Step-by-step explanation:
The general form of a quadratic function is
[tex]y=ax^2+bx+c[/tex]
It means, power of y should be 1 and highest power of x should be 2.
In option A,
[tex]y-3x^2=3(x^2+5)+1[/tex]
[tex]y-3x^2=3x^2+15+1[/tex]
[tex]y=3x^2+16+3x^2[/tex]
[tex]y=6x^2+16[/tex]
It is a quadratic function.
In option B,
[tex]y^2-7x=2(x^2+6)+7[/tex]
Here, power of y is 2. So, it is not be a quadratic function.
In option C,
[tex]y-2x^2=6(x^3+5)[/tex]
Here, highest power of x is 3. So, it is not be a quadratic function.
In option D,
[tex]y-5x=4(x+5)+9[/tex]
Here, highest power of x is 1. So, it is not be a quadratic function.
Therefore, the correct option is A.
Answer:
It is A
Step-by-step explanation: I took the test on edge 2020
Given f(x) = 2x – 3 and g(x) = x2, find f(g(3)).
Answer:
First find f(g(x))
= 2(x²)-3
= 2x² -3
f(g(3)) = 2(3)² -3
= 2(9) - 3
= 18 - 3
= 15
Hope this helps.
Answer:
f(x)=6 and g(x)=6
Step-by-step explanation:
This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.
1. find g(x)
2. x=3*
3. g(3)=3·2
4. x=6
Wherever there is an x put the number 3.....ONLY for g(x)
* ONLY in g(x)
4. Solve for f(x)
Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6
5. f(6)=2·6-3
6.f(x)=2·3
7.f(x)=6
Please help lots of points
Answer:
directrix
Step-by-step explanation:
The parabola is equidistant from the line called the directrix
and from a point called the focus
Answer:
The answer is B.
Please help this is due in 30 minutes!
Answer:
[tex]1.\ 12\ feet = 4\ yards[/tex]
[tex]2.\ 4\ miles = 21120\ feet[/tex]
Step-by-step explanation:
Given
12 feet = _____ yard
4 miles = ____ feet
To start with;
we need to understand the unit of conversion between the two measurements;
1. 12 feet = _____ yard
To convert from feet to yard;
[tex]1\ foot = \frac{1}{3} yard[/tex]
This implies that;
[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]
[tex]12\ feet = \frac{12}{3} yard[/tex]
[tex]12\ feet = 4\ yards[/tex]
2. 4 miles = ____ feet
To convert from miles to feet;
[tex]1\ mile = 5280\ feet[/tex]
This implies that;
[tex]4\ miles = 4 * 5280 feet[/tex]
[tex]4\ miles = 21120\ feet[/tex]
What is the slope of the line shown below?
(3, 8)
(1, -2)
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
Betty spent 50 minutes on solving 25 questions. If she spent the same amount of time solving each question, how long would it take to do 30 questions
Can somewon please help me?
Answer:
Bobs Data: range from 2 to 8
Rosa Data range from 4 to 7
Step-by-step explanation:
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
Find the product Enter the answer below
Answer:
56/33
Step-by-step explanation:
8/11 * 7/3
Multiply the numerator
8*7 = 56
Multiply the denominator
11*3 = 33
Put the numerator over the denominator
56/33
Answer:
56/33
Step-by-step explanation:
[tex]\frac{8}{11} *\frac{7}{3}[/tex] Original equation
[tex]\frac{8*7}{11*3}[/tex]
[tex]\frac{56}{33}[/tex] Simplify
Keenan is making a model of a stadium using a scale in which 0.25 centimeters equals 10 feet. If the actual length of the stadium is 300 feet, how long is the model, in centimeters? Your answer can be exact or rounded to two decimal places. the answer is not (75,1200, or 9144.0 cm)
Answer:
7.5cm
Step-by-step explanation:
0.25 cm=10ft
x30. x30
7.5 cm=300ft
Hpoe this helps! :) :)
If there are 80 toys in a shop, 40% of them are for boys. 50% of the boy's toys and 50% of the girl's toys are made by the shop owner. How many more girl's toys than boy's are made by the owner?
Answer: 8 more girl toys than boy toys
Step-by-step explanation:
First you need to find out how many of the toys are for boys and girls.
———————————————
80 * 40 = 80 * 0.4 = 32
32 toys are for boys
———————————————
80 - 32 = 48
48 toys are for girls
———————————————
Now find 50% of the boy and girl toys.
32 * 50% = 32 * 0.5 = 16
48 * 50% = 48 * 0.5 = 24
———————————————
Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.
24 - 16 = 8
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.
StartRoot 5 EndRoot mi
3 StartRoot 5 EndRoot mi
15 StartRoot 5 EndRoot mi
45 StartRoot 5 EndRoot mi
Answer:
The answer is 3√5 mi.
The formula is: d = √(3h/2)
Wyatt:
h = 120 ft
d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi
Shawn:
h = 270 ft
d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi
How much farther can Shawn see to the horizon?
Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi
Answer:
its b
Step-by-step explanation:
i just did it
What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 1/4?
Answer:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Step-by-step explanation:
Given
K(1,0)
L(1,4)
M(5,4)
N(5,0)
Scale Factor = 1/4
Dilation with center (0,0)
Required
New coordinates of the quadrilateral
To get the new coordinates, we simply multiply the scale factor with each coordinate;
This is done as follows;
[tex]If\ K =(1,0),\ then;[/tex]
[tex]K' = \frac{1}{4} * (1,0)[/tex]
[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]If\ L =(1,4),\ then[/tex]
[tex]L' = \frac{1}{4} * (1,4)[/tex]
[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]If\ M =(5,4),\ then[/tex]
[tex]M' = \frac{1}{4} * (5,4)[/tex]
[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]If\ N =(5,0),\ then[/tex]
[tex]N' = \frac{1}{4} * (5,0)[/tex]
[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Hence, the coordinates of the dilated figure are:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Given P(E) = 0.58 and P(FE) =0.32 , find P(F/E). Round the answer to the nearest hundredth.
A 0.19
B. 0.44
C. 0.55
D. 1.81
I WILL GIVE BRAINLEIST TO WHOEVER ANSWERS THIS FIRST
Is the value of 9−y twice as much as the value of y?
Answer:
I think it is greater because when you put the y alone it has the value of 1.
So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.
Step-by-step explanation:
The total sales made by a salesperson was $25,000 after 3 months and $68,000
after 23 months. Predict the total sales after 41 months.
$ 106,742
$106,670
$106,800
$106,700
Answer: $106,700
Step-by-step explanation:
y = money amount
x = months
Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150
Now, we have to write the equation in the form y =mx+b, using one of the points:
25000= 2,150(3) +b
25,000= 6,450+b
25,000-6,450=b
18,550=b
So, the final equation is:
y = 2,150x+18,550
So, when x=41 months
y = 2,150(41)+18,550
y= $106,700
Feel free to ask for more if needed or if you did not understand something.
what is the length of DE?
a) Mr.Wilson bought a mountain bike for Rs 7,600 and sold it at 10% profit. If he had bought it for Rs 8,000, what would be his profit or loss percent?
Answer:
[tex]5\%[/tex] loss.
Step-by-step explanation:
[tex]7600 \times (1+10\%)[/tex]
[tex]7600 \times 1.1=8360[/tex]
[tex]8000 \times (1+10\%)[/tex]
[tex]8000 \times 1.1=8800[/tex]
His loss is Rs 440.
[tex]\frac{440 \times 100}{8800}[/tex]
[tex]=5[/tex]
Answer:
Profit %age = 4.5 %
Step-by-step explanation:
Mr. Wilson bought the bike for = Rs 7,600
Profit %age = 10% of 7,600
Profit = [tex]\frac{10}{100}* 7600[/tex]
Profit = Rs 760
Amount in which the bike is sold = 7600 + 760 = Rs 8360
If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,
So he would still be
having a profit of Rs. 360
How much Profit %age:
Profit % age = [tex]Profit * 100/CP[/tex]
Profit %age = 360 * 100 / 8000
Profit % age = 36,000 / 8000
Profit %age = 4.5 %
The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?
1.) 2600
2.) 234
3.) 260
4.) 2106
Answer:
Correct option: 1) 2600
Step-by-step explanation:
The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Correct option: 1)
Answer:
1.) 2,600
Step-by-step explanation:
In the triangles, BC 2DE and AC FE.
If mZc is greater than mZE, then AB is
DF
MA
O congruent to
o longer than
shorter than
the same length as
A
CF
E
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan?
Answer:
15 years old.Ishaan is 15 years old.
Solution,
Let the age of Ben be X and ishaan be y.
Now,
X=4y
Six years ago,
[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]
Put the value of X
i.e X=4y
[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]
hope this helps..
Good luck on your assignment....
Start by setting up a chart based on age now
and age 6 years ago for Ben and Ishaan.
Since Ben is 4 times as old as Ishaan, use x to represent
Ishaan's age now and 4x to represent Ben's age now.
Ishaan's age 6 years ago would then be x - 6 and Ben's
age 6 years ago would be 4x - 6.
Now that your chart is filled out, read through the
second sentence of the problem to setup the equation.
Since the second sentence starts with 6 years ago,
we're going to be using the information in the
second column of our chart to setup the equation.
So 13 years ago, Ben, 4x - 6, was, equals,
6 times as old as Ishaan, 6(x - 6).
So we have the equation 4x - 6 = 6(x - 6).
Solving from here, we find that x = 15.
Steps are attache din the image provided.
Going back up to the chart, x represents Ishaan's age now.
So Ishaan is 15 years old now.
What is the volume of the cube below?
Answer:
C
Step-by-step explanation:
V=lwh
4 times x times x
4 x^2
Find P(Not a 3)????????????
Answer:
0.85Option B is the right option.
Solution,
P(3)=0.15
P(Not a 3)=1-P(3)
=1-0.15
=0.85
Hope this helps...
Good luck on your assignment
Answer:
I think it's c im not to sure
Step-by-step explanation:
PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,
Answer:
Parallelogram
Step-by-step explanation:
When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.
PLZ MARK BRAINLIEST!!!
What is the slope intercept equation of a line that has a slope of -2 and a y-intercept of (0, 3)
Answer:
y = -2 x +3
Step-by-step explanation:
If the slope must be "-2", then the slope intercept form of the line should look like;
y = m x + b
with the slope "m" = -2
That is:
y = -2 x + b
Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":
3 = -2 (0) + b
3 = b
Then the equation becomes:
y = -2 x +3
Write a word problem the equation -8f - 7 = -47
Answer:
The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?
Step-by-step explanation:
The equation can be rearranged to get:
-7-8f=-47
Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?
Answer:
Step-by-step explanation: negative eight f minus seven equals negative fourty-seven . answer: 5
Which of the following points are solutions to the inequality below check all that apply
Answer:
A, C, and D
Step-by-step explanation:
By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.
PLEASEEE HELPPPPPPPjjsek
Answer:
1.777777778
Step-by-step explanation:
hope that helps!
Answer:
16/9 or 1 2/9
Step-by-step explanation:
the fraction bar means divison
The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.
Answer:
32%
Step-by-step explanation:
Got it right on the quiz.
Pls give me brainliest
Answer:
32%
Step-by-step explanation:
What is the vertex of the graph of the function below? y = x^2 - 4x + 3 A. (1, -1) B. (1, 0) C. (2, -1) D. (2, 0)
Answer: (1, 0)
Step-by-step explanation:
Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.
(0) = (1)^2 - 4(1) + 3
0 = 1 - 4 + 3
0 = -3 + 3
0 = 0
Answer:
(2, -1)
Step-by-step explanation:
Ap3x