The terms of expression 4x² - 3xy are
(a) 4x² and -3xy
(b) 4x² and 3xy
(c) 4x² and -xy
(d) x² and xy
What are the terms of an expression?A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4 x + y, the two terms are 4 x and y. It is to be noted here that terms add up to form the expression.
What are the constant terms in the expression?Terms: a2,6a,and 9.
Variables: a2,a
Constants:9
Factors: a,a are the factors of term 1,-6 and a are the factors of term 2,and 9 is the factor of term 3.
Coefficients:1 is the coefficient of a2,-6 is the coefficient of a,and 9 is the coefficient of the constant term
Operators:- and+
Given, the expression is 4x² - 3xy.
We have to find the terms of the expression.
The terms are the numbers or the variables added together.
Each term in an algebraic expression is separated by a + sign or - sign.
Therefore, the terms in the given expression are 4x² and -3xy.
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(1 point) Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x^3,y=4x
Answer:
(1664π)/7
Step-by-step explanation:
We first need to know the points of intersection of the two functions, y = x³ and y = 4x.
To do this, we equate both functions
x³ = 4x
x³– 4x = 0
x(x² – 4) = 0
x(x – 2)(x + 2) = 0
x = 0, x = 2 and x = –2
Since we are looking for the volume formed by rotating the region inside the FIRST QUADRANT, then the needed points of x are 0 and 2. These are our limits of integration.
The formula for the area of the solid is
[tex] \int\limits^2_0 {\pi (4x)^3} \, dx -\int\limits^2_0 {\pi (x^3)^3} \, dx [/tex]
This gives:
[tex] \int\limits^2_0 {64\pi x^3} \, dx -\int\limits^2_0 {\pi x^6} \, dx [/tex]
On integration, we have
16π(2⁴) – π(2^7)/7
=
256π – 128π/7
= (1792π – 128π)/7
= (1664π)/7
Which expression is equivalent to 2(4x + 7)?
6x + 7
6x + 9
8x + 7
8x + 14
Answer:
C, or D
Step-by-step explanation:
The answer is C, or D
Answer:
8 x + 14
Step-by-step explanation:
2(4x+7)
2×4x +2×7 =
8x+14
In AHIJ, HJ is extended through point J to point K, mZIJK = (7x – 15)°,
mZJHI
(3x + 18), and mZHIJ (x + 6)". Find mZJHI.
Answer:
3x + 18), and mZHIJ (x + 6)". Find mZJHI.
Step-by-step explanation:
it is 86[9=10+3]
Find the solution: Mrs. Simms is planning a garden. IT will be 27 feet long and 18 feet wide. What will be the area of the garden?
Answer:
486 feet squared
Step-by-step explanation:
plz plz plz help plz :( i only need 4
For Pitch Trax question, I'd say pitchers
For the def of technology, science of problem solving
For the automoblies and jets, answer should be trains.
For the last question, I think the answer you had is right.
I'm so sorry if anything of these are wrong.
hey please help me with this ty
Answer:
3d
Step-by-step explanation:
3 miles per day
if he runs for two days he runs 6 miles 3(2)
etc etc
what is the surface area of the image shown
6 in.
3 in.
5 in.
Answer:
126.0000
Step-by-step explanation:
The gas mileage for Peter's car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car's gas tank has 17 gallons of gas at the beginning of a trip. If. Peter's car travels at an average speed of 50 miles per hour, which of the following functions fmodels the number of gallons of gas remaining in the tank thours after the trip begins? 21 A. f(t) = 17 - 50T B. f(t) = 17 - 500 21 17-500 C. f(t) 17-210 50 D. f(t) = 21
Answer:
f(t)= 17- 50t/21
Step-by-step explanation:
distance covered after t hours= 50t miles
number of gal.=50t×1/21 =50t/21 gal.
f(t)=starting-consuming= remaining
= 17-50t/21
Answer:f(t)= 17- 50t/21
f(t)= 17- 50t/21
Step-by-step explanation:
distance covered after t hours= 50t miles
number of gal.=50t×1/21 =50t/21 gal.
f(t)=starting-consuming= remaining
= 17-50t/21
While completing a race, Ned spent 63 minutes walking. If the
ratio of time walking to jogging was 9:1, how many minutes
did he spend completing the race?
Answer:
therefore ned spent 1 hour and 10 minutes completing the race.
Solving the following system using substitution method.
y=3x-6
y=x-10
Answer:
x = -2, y = -12
Step-by-step explanation:
x - 10 = 3x - 6
-2x = 4
x = -2
y = -2 - 10
y = -12
0.75 is 0.24% of what number? Express your answer as a decimal.
Answer:
0.18
Step-by-step explanation:
24% × 0.75 =
(24 ÷ 100) × 0.75 =
(24 × 0.75) ÷ 100 =
18 ÷ 100 =
0.18
brainliest please?
A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend line with an equation of y=11x + 12, where y is the total number of retail stores and x is the number of years since 1990. Tracy and her family moved to the city in 2003. Use the equation to predict how many retail stores there were in 2003?
Answer:
155
Step-by-step explanation:
The problem sounds complicated, but it's not. Let's analyse.
The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.
We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.
Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).
In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.
y= 11x + 12
=> In Tracy's case: y= 11*13 + 12= 155
So the number of retail stores there were in 2003 was 155
Micah's Allowance was increased from $6 a week to $9 a week. By what percent did his allowance increase?
Answer:
60%
Step-by-step explanation:
Please need help will mark brainliest find the coordinates of y and x intercept in three order
HELP ME AS QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The difference in square feet is 75 square feet.
Step-by-step explanation:
Formula for area of a rectangle: Area = length x width
Current measurements: 12 by 10, so
A = 12 x 10 = 120 square feet
New measurements: 15 by 13 (adding 3 feet to each)
A = 15 x 13 = 195 square feet
Subtract to find the difference:
195-120 = 75
Please let me know if you have questions.
15. A TV is listed as being 40 inches. This distance is the diagonal across
the screen. We know that the TV is a rectangle (two right triangles). If the
screen measures 24 inches in height and 32 inches in length, is the
diagonal exactly 40 inches? *
Answer:
Its just a tv
Step-by-step explanation:
You owe the bank $2.50. You plan to
pay your debt at the end of the week.
You deposit $1.12 three separate times
during the week. How much did your
bank account change by the end of the
week?
Answer:
3.36
Explanation:
1.12x3=3.36
I hope it's helpful
solve this question plz 3 / 2 root 3
Answer:
Step-by-step explanation:
Actually, you are to put this expression into standard form, with no radical in the denominator. There's no equation here, just an expression.
3/(2√3) is to be multiplied by √3 to remove the radical from the denominator:
3 √3 3√3 √3
------- * ------ = ------------- = -------
2√3 √3 6 2
A spinner with 8 equally sized slices has 2 blue slices and 6 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answer:
0
Step-by-step explanation:
Probability = required outcome / Total possible outcomes
Total possible outcomes = (blue slice + yellow slice) = (2 + 6) = 8
Required outcome = number of red slices = 0
Probability of stopping on a red slice :
(0 / 8) = 0
Will mark Brianliest please answer :)
Answer:
3.5×10^4=35000
Step-by-step explanation:
Consider the value
3.5
we are saying that we are counting in units (1's) in that we have
3
1
2
of 1's
'.....................................................................................
Consider the value
3.5
×
10
. Now we are saying we have
3
1
2
of tens. That is; 3 lots of 10 is 30 and
1
2
of 10 is 5 so we have
30
+
5
=
35
'.................................................................................
Note that
10
2
is 100
Consider the value
3.5
×
10
2
. Now we are saying we have
3
1
2
of
100
'
s
So if we are counting in 100's then the decimal point stays where
it is and we move the number of 3.5 to the left until the
3 becomes hundreds.
Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.
3.5
×
10
2
−−−−−−−−−−−−−−−−−−→
slide to the left 2 places
350.0
A cylinder has a base diameter of 16 m in a height of 14 m. What is its volume in cubic meters to the nearest tenths place?
Answer:
896pi
Step-by-step explanation:
pi(8)^2(14)
A tower has lost contact with a GPS satellite. The satellite is at 4500 meters over the Earth at a location 2000 meters from the tower. At what angle should the tower point and scan to make contact again? Note the height of the tower is not included. Round answers to the nearest whole degree.The angle of elevation from the top of the tower to the satellite is?
Answer:
66°
Step-by-step explanation:
It is given that :
Distance of the satellite from the tower = 2000 m
Height of the satellite above the tower = 4500 m
Therefore the angle of elevation can be found out by :
[tex]$\tan \theta = \frac{4500}{2000}$[/tex]
[tex]$\tan \theta = \frac{9}{4}$[/tex]
[tex]$\tan \theta = 2.25$[/tex]
[tex]$\theta = \tan^{-1}(2.25)$[/tex]
[tex]$= 66 ^\circ$[/tex]
Therefore the tower can make contact with GPS satellite when it pointed at 66° angle.
find the measure for each angle indicated
Step-by-step explanation:
7. 180 -92 -67 =21. 180-21 = 159
8.180-144 = 36 + 94 = 130 180-130 = 50
Answer:
Step-by-step explanation:
TWO RULES:
⊳ Angles in a triangle add up to 180
⊳ Angles on a straight line also add up to 180
=================================================================
QUESTION 1
92 + 67 + x = 180
x + 159 = 180
x = 21
180 - 21 = 159
? = 159
=================================================================
QUESTION 2
144 + x = 180
x = 36
94 + 36 + ? =180
130 + ? =180
? = 50
=================================================================
! HOPE I HELPED !
11. Selvin owns x shoes. Trey has y shoes. The
number of shoes Selvin owns is 1 less than 2 times
the number Trey owns. Together they have a total of
11 pairs of shoes. How many shoes does Selvin and
Trey have each?
Which equation finds the area of a square with a side length of 5 n Superscript 4 units?
(5 n Superscript 4 Baseline) squared = 25 n Superscript 8 square units
(5 n Superscript 4 Baseline) squared = 5 n Superscript 8 square units
5 (n Superscript 4 Baseline) squared = 5 n Superscript 8 square units
5 (n Superscript 4 Baseline) squared = 10 n Superscript 8 square units
Answer:
A
Step-by-step explanation:
Squares are Equivalent, you need 4 to make a dollar, and they are worth 25c Each!
Just How I remember this.
Hope it Helps :D
5/6 of what number
= 35
Answer:
42
Step-by-step explanation:
In order to find the answer to this question, I had to multiply 35 times 6/5.
35x6/5=42
You can check to make sure your answer is right by doing: 42x5/6=35.
You just have to multiply the number that we are using by the reciprocal of the fraction.
For instance: 2/3 of what number is 32
32x3/2= 48
48x2/3=32
The requried number is 42, where 5/6 of 42 is 35.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42
Thus, the requried number is 42, where 5/6 of 42 is 35.
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HELP PLEASE
are these independant or dependant
Im stuck in this question. Please someone help me
Answer:
b) The constant term is 8; The exponent of the third term is 1
Greatest common factor of 112 and 63
Answer:
It's 7!
Step-by-step explanation:
can u help me with this question
Answer:
3. y = -2√(x+3) - 5Explanation:
reflected across the x-axis: the y is negative (2 eliminated)
vertically stretched by a factor of 2 (they're all stretched by a factor of 2)
translated left 3 units (1 eliminated)
translated down 5 units (4 eliminated)
3 is left which is y = -2√(x+3) - 5