Answers
4
x
2
−
6
x
+
8
−
(
3
x
2
−
6
x
+
2
)
Distribute the Negative Sign:
=
4
x
2
−
6
x
+
8
+
−
1
(
3
x
2
−
6
x
+
2
)
=
4
x
2
+
−
6
x
+
8
+
−
1
(
3
x
2
)
+
−
1
(
−
6
x
)
+
(
−
1
)
(
2
)
=
4
x
2
+
−
6
x
+
8
+
−
3
x
2
+
6
x
+
−
2
Combine Like Terms:
=
4
x
2
+
−
6
x
+
8
+
−
3
x
2
+
6
x
+
−
2
=
(
4
x
2
+
−
3
x
2
)
+
(
−
6
x
+
6
x
)
+
(
8
+
−
2
)
=
x
2
+
6
Answer:
x² + 6
Step-by-step explanation:
(4x² -6x + 8 )- ( 3x² -6x +2 )
4x² -6x +8 - 3x² + 6x -2
now group like terms
4x² -3x² -6x +6x +8-2
⇒ x² +6
Related Questions
The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?
Answers
Answer:
Option D. 91/4950
Step-by-step explanation:
The following data were obtained from the question:
Barcelona (B) = 23
Real Madrid (R) = 23
Liverpool (L) = 22
Manchester City (M) = 18
Juventus (J) = 14
Total (T) = 100
Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:
P(J1) = n(J) /n(T)
P(J1) = 14/100
Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e
Juventus = 13
Total = 99
Therefore, the probability that the 2nd pick is Juventus is given below:
P(J2) = 13/99
Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:
P(J1 and J2) = P(J1) x P(J2)
P(J1) = 14/100
P(J2) = 13/99
P(J1 and J2) = P(J1) x P(J2)
P(J1 and J2) = 14/100 x 13/99
P(J1 and J2) = 7/50 x 13/99
P(J1 and J2) = 91/4950
Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950
So I’m not great in math at all I spent 15 min crying because I don’t get it so anyone pls help
Answers
Answer:
A
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 13 and h = 4 , thus
A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A
Answer:
A, 26
Step-by-step explanation:
Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
x ≈ 6.9
Step-by-step explanation:
We use tan∅ to solve this:
tan21° = x/18
18(tan21°) = x
x = 6.90955
Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300 followed by monthly payments of $110. The two options accumulate the same amount of interest and require the same number of monthly payments. What is the amount of interest for this loan?
Answers
Answer: $500
Step-by-step explanation:
Hi, since both credit options accumulate the same amount of interest:
1000+125x=1300+110x
Solving for x(number of months)
125x-110x =1300-1000
15x = 300
x =300/15
x= 20 months
Replacing x =25 in one equation:
1000+125x =
1000+125(20)=
1000+2500= $3500
Finally, we have to subtract the amount of the purchase (3000) to the result obtained:
3500-3000=$500
Feel free to ask for more if needed or if you did not understand something.
Will name brainliest please help me.
Answers
Answer:
CD = 9
Step-by-step explanation:
ΔADE is similar to ΔBCD
Such that:
AD is similar to CD
BD is similar to ED
AE is similar to BC
Taking the proportion of their sides to find the unknown sides CD
=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]
Cross Multiplying
=> 2(CD) = 3*6
=> CD = 18/2
=> CD = 9
True/False Worth
points)
(05.02 LC)
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
O False
Answers
Answer:
the answer is true
Step-by-step explanation:
Because a parallelogram would be the result.
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x). Question 11 options: A) (ƒ + g)(x) = x2 + 6x + 3 B) (ƒ + g)(x) = –x2 + 6x + 7 C) (ƒ + g)(x) = x2 + 2x + 3 D) (ƒ + g)(x) = –x2 + 2x – 7
Answers
Answer: C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HELP AM BEING TIMED!!!!!!!!!!
Answers
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021
An electrician uses the function f(x) = 60 + 40x to calculate the total cost, in dollars, for a service call that takes x hours to
complete. What does the coefficient 40 represent?
A)
The electrician works 40 hours.
B)
The electrician charges $40 per hour.
Eliminate
The electrician drives 40 miles to work.
D)
The electrician charges a $40 trip charge.
Answers
Answer:
(B) The electrician charges $40 per hour.
Step-by-step explanation:
Total cost=fixed cost + variable cost
F(x)=60+40x
Fixed cost =60
Variable cost=40x
x=hours of service
40=40 dollar per hour charge
The coefficient 40 represent the electrician charge of $40 per hour
(B) The electrician charges $40 per hour.
Khan academy question
Answers
Step-by-step explanation:
There it is..................
Answer:
(2,5)
Step-by-step explanation:
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
Answers
The cargo plane's speed was 500 mph.
Change the percent to a decimal equivalent.
9 7/10
Answers
Answer:
0.97
Step-by-step explanation:
97 /100
You can round once from behind to convert 97% to 0.97
9 7/10 equals 9.7
sorry if the answer is wrong
Which of the following statements correctly describes the items shown below? (Zoom on to see)
Answers
Answer:
D
Step-by-step explanation:
Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?
Answers
Answer:
[tex]6\:\mathrm{pages}[/tex]
Step-by-step explanation:
[tex]3 \times 4 = 12[/tex]
[tex]1\frac{1}{2} \times 4=6[/tex]
Answer:
6 pages
Step-by-step explanation:
1.5 pages x pages
--------------- = ------------
3 minutes 12 minutes
Using cross products
1.5 * 12 = 3x
Divide each side by 3
18 /3 = 3x/3
6 =x
6 pages
the students in Mrs. Kranger's class are holding a car wash to raise money for their end- of- year field trip. they washed 45 cars by noon, and their goal is to wash 110 cars by the end of the day. write and solve an addition equation to find c, the number of cars they still need to wash to meet their goal.
Answers
Answer:
45 + c = 110
c = 65
Step-by-step explanation:
110 - 45 = 65
Please mark as brainliest!
Answer:
They need to wash 65 more cars to reach their goal.
Step-by-step explanation:
45+c=110
subtract 45 from both sides
c=65
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Answers
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
Learn more about rate: brainly.com/question/24304697
#SPJ1
Which equation is quadratic in form
Answers
Answer:
The answer is A because the quadratic equation formula
Step-by-step explanation:
because the quadratic equation formula is
ax^2+bx+c=0
and when you sub A into it, you get it in the needed form
Answer:
The Answer is A
Step-by-step explanation:
Solve x/-4 - (-8)=12
16
80
-80
-16
Answers
Answer:
-80
Step-by-step explanation:
Solve for x for the x value.
(
[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
solve
Answers
Answer:
[tex]8x^{2} -3x-5[/tex]
Step-by-step explanation:
[tex]8x^{2} +4x+4-7x-9[/tex]
[tex]8x^{2} +4x-7x+4-9[/tex]
[tex]8x^{2} -3x-5[/tex]
A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.
Answers
Answer:
volume of water in the tank when it its half full
The capacity of the water tank = (5.04) /2 = 2.52 m³
2,520 litres
Step-by-step explanation:
Dimensions of a water tank:
Length (l) = 2.0 m,
wide (w) = 1.4 m,
Depth (h)= 1.8 m,
Volume of the tank (V)
LWH
2.0m × 1.4m × 1.8 m
= 5.04 m³
= 5.04 × 1000 litres
/* 1m³ = 1000 litres */
5,040 litres
Therefore,
The capacity of the water tank = 5.04 m³
5,040 litres
the ratio of boys to girls in a school is 4:5 there are 22o boys in the school. How many students attend the school
Answers
Answer:
495 students
Step-by-step explanation:
The 4 part of the ratio is the number of boys.
Divide the number of boys by 4 to find the value of one part of the ratio.
220 ÷ 4 = 55 ← value of 1 part of the ratio, thus
5 parts = 5 × 55 = 275 ← number of girls
Number of students = 220 + 275 = 495
Answer:
495 studentsStep-by-step explanation:
[tex]220 \: boys \\ 4:5 = 4 + 5 \\ boys \: = \frac{4}{9} \times x = 220 \\ = \frac{4x}{9} = \frac{220}{1} [/tex]
[tex]4x = 1980 \\ \frac{4x}{4} = \frac{1980}{4} \\ x = 495 \\ total \: no \: of \: students \: = 495 \\ [/tex]
What is the volume of the rectangular prism below? (Don't forget to
label your answer!)
Answers
Answer: 84 3/8 or 84.375 inches cubed
Step-by-step explanation:
4 1/2 * 5 = 22 1/2
22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8
675/8 = 84 3/8 or 84.375
Which of the following lies between 0 and -1?
0
-3
-2/3
-4/3
Answers
Answer:
-2/3
Step-by-step explanation:
We need a negative fraction
The numerator has to be smaller than the denominator to be between 0 and -1
Answer:3rd one
Step-by-step explanation:
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answers
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
If f(x) = 4x - 12, what is f(2)?
O A. -4
O'B. 4
O c. -20
D. 8
Helpppp plzzz
Answers
Answer:
-4
Step-by-step explanation:
f(x) = 4x - 12
Let x=2
f(2) = 4*2 - 12
= 8-12
= -4
|7t|=35 solve the equation
Answers
Answer:
t = 5,-5
Step-by-step explanation:
35/7 = 5
because it is an absolute value, it will always be positive:
-35/7 = -5
Answer:
T = 5,
Step-by-step explanation:
7T = 35
divide 7 by both
T = 5
hope this helps
Helpppppppppppppppppppp solve for x
Answers
Answer:
x=35
Step-by-step explanation:
Since a quadrilateral's interior angles add up to 360°, we get this:
360-85-20=360-4x+x
340-85=360-3x
255=360-3x
-105= -3x
Multiply both sides by -1
105=3x
3x=105
Divide both sides by 3
x=35
Calculate the mean and median of: 202, 199, 223, 199, 223, 256, 301, 199
a. mean = 199, median= 212.5
b. mean = 225.25, median = 199
c. mean = 225.25, median = 212.5
d. mean = 212.5, median = 225.25
Answers
Answer:
C. mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Answer:
C. mean =225.25, median= 212.5
Step-by-step explanation:
which equation is represented by the graph below
Answers
Answer:
C). y = ln x + 4
Step-by-step explanation:
First off, we can cancel out the [tex]e^{x}[/tex] graphs.
Now looking at the graph, one can see that when x = 1, y = 4.
So for each [tex]ln[/tex] function, plug in 1 for x.
In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.
hi what is the answer for this
Answers
Step-by-step explanation:
first find the side length by
considering a triangle under
the square
[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]