Answer:
(x − 2)×(3x+1)
Step-by-step explanation:
We can use this method:
[tex]\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}[/tex]
All I did is Subtracting x then adding x which will not affect the result because -x + x = 0
Please help me please
Answer: x is 125
Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.
the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.
ANSWER
solution
here,
Correct option is B)
Total age of 40 old students =40×15=600years.
Total age of 40 old and 10 new students =50×15.2=760years
∴ Total age of 10 new students =760−600=160years
∴ Required average age =
10
160
=16years
Answer:
16 years is the answer
Step-by-step explanation:
My account got deactivated I am about to cry
Please help me I will give brainliest
Answer:
2,250 yd^3
Step-by-step explanation:
formula for pyramid is lwh/3
hurry !!! not much time left
The correct answer would be:
-10x + y = 4
10x - y = -4
Find The Eqn Of Normal To The Curve y= x² - x - 6 at The Point Where It Process x - axis.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
If it passes through x, then let's find x when y = 0
[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]
So, required values of x are 3 and -2
Now, let's differentiate the equation to get slope slope for tangent ~
[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]
[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]
Now, plug in the values of x to find slopes of tangents
[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]
[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]
[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]
and
[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]
We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'
[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]
and
[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]
Now, write the equations of normals using point slope form :
Normal 1 : passing through (3 , 0), and slope = -1/5
[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]
[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]
and
Normal 2 : passing through (-2 , 0), and slope = 1/5
[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]
[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]
That's all for Aunty ~ hope it helps !
What is the arithmetic mean of the
following numbers?
8, 10, 8,5, 4, 7,5,10,8
Help
Answer:
its simple just add all of the numbers and then divide it by the total frequency
Step-by-step explanation:
4+5+5+7+8+8+8+10+10
8
=65
8
=8.125
Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.
Answer:
C
Step-by-step explanation:
d / rate = time
d / 90 + d/60 = 6 hours
(2d+ 3d)/180 = 6
5d = 1080
d = 216 miles
The distance from NYC to Boston is 216 miles.
We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.
We have to determine distance between NYC and Boston.
What is the formula to calculate the distance travelled by the body moving with speed ' v mph ' for ' t hours '.The distance covered by the body will be -
d = v x t
According to question, we have -
Assume that the distance travelled by Steve from NYC to Boston be x.
Then, total distance covered for the round trip = 2x.
From NYC to Boston -
Suppose that in going from NYC to Boston, Steve takes t hours. Then
x = 90 x t (1)
From Boston to NYC -
Steve will take (6 - t) hours to travel the distance. Then -
x = 60 x (6 - t) (2)
Now, Equating the equations (1) and (2), we get -
90 x t = 60 x (6 - t)
1.5t = 6 - t
1.5t + t = 6
2.5 t = 6
t = [tex]\frac{12}{5}[/tex] = 2.4 hours
Therefore -
x = 90 x 2.4 = 216 miles
Hence, the distance from NYC to Boston is 216 miles.
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LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.
Answer: 7 cm
Step-by-step explanation:
How many members did not vote for the art club the percent is 75% and there are 60 people?
Answer:
45 people
Step-by-step explanation:
Find what 1/4 (25%) of 60 is by dividing it by 4.
You get 15, then multiply that (25%) by 3 to get 75%.
15x3 = 45
45 is your answer.
someone help, its calc
Differentiate
[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]
[tex]\\ \rm\rightarrowtail 4x+9[/tex]
Put x=5f'(5):-
4(5)+920+929Option C
instantaneous rate can be found by differentiating the function.
Here,
f(x) = 2(x)² + 9(x)so differentiating:
f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9So when x = 5,
f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain
Find the distance between the points
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
Find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
mean formula number of values divided by the total of all the values
so
100 divided by 10
ans 10
If ABC~ DEF, what is the scale factor of ABC to DEF?
Answer:
that would be 1/2 because its the only one that could reduce the numbers.
Step-by-step explanation:
hope this helps,
kleann
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,
SF = 10 / 20
SF = 1 / 2
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
More about the dilation link is given below.
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What is 7 less than y
In math
Answer:
The algebraic expression is "y - 7".
Step-by-step explanation:
"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".
y-7
Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.Hope it helps.
Do comment if you have any query.
The number 3 represents of the class.
Answer:
WE CANT ANSWER WITH THAT LITTLE OF INFORMATION
Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?
Answer:
the answer is k= -12
Step-by-step explanation:
use x-5= 0
x=5
Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?
Answer:
67.85 kph
Step-by-step explanation:
Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85
If the point (-4,b) is on the line what is the value of b
Answer: if you are talking about a grid than the answer is 0.
Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation
. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?
Step-by-step explanation:
the formula is distance/time
since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer
hey I need help please help if you can ty!!! :)))
Answer:
12.3
Step-by-step explanation:
cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3
Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?
Answer:
the answer is B
Step-by-step explanation:
Answer:
inactivity fee
Step-by-step explanation:
If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference
Answer:
110 cm
Step-by-step explanation:
Hope it will help you.
What is the degree of the polynomial?
1
2
4
6
Answer:
The answer is 6.
Step-by-step explanation:
The degree is the largest exponent on the variable. And in this case the answer is 6.
Will give brainliest thanks so much!!!
Answer:
76.6%
Step-by-step explanation:
345/450 * 100%
I hope it helps and sorry if I'm wrong
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? Please show explanations - also please do not ask any further question other than answering from what is questioned.
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
3w(x+y) - 4z(x+y)
Step-by-step explanation:
Hope it helps......
3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B
How to solve thisTo factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.
The given expression is 3wx + 3wy - 4zx - 4zy
First, put the terms into pairs.
The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.
Next, separate and remove the terms that are the same from each group.
The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).
This is a summary:
In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.
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Match the following, cylinder rectangular prism cone triangular prism square prism
Cylinder = 2πrh + 2πr²
where "h" - height, "r" - radiusRectangular Prism = 2lw + 2lh + 2wh also 2B + Ph
"l" - length, "w" - width, "h" - heightCone = πrl + πr²
"l" - slant height, "r" - radiusTriangular Prism = 2B + Ph
"B" - area of one base, "P" - perimeter of base, "h" - heightSquare Pyramid = 2l l + l²
"l " is height, "l" is side lengthCan someone help me?
Answer:
Step-by-step explanation:it is the degree of 4
James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h(x) represent the height of the shot put, when the horizontal distance is x feet.
h(x)= -0.05x² + x + 6
From the graph of h(x):
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
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Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.
Answer:
k>1 1/3
Step-by-step explanation:
i have rsm too bro
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
What is the condition for a solution?If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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