Answer:
[tex]4x^2-21x-2[/tex]
Step-by-step explanation:
Given that:
Difference of two trinomials is [tex]x^2 - 10x + 2[/tex]
One of the two trinomials is [tex]3x^2 - 11x - 4[/tex]
To find:
The other trinomial = ?
Four options are:
[tex]2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2[/tex]
Solution:
Let the two trinomials be A and B.
Given A - B = [tex]x^2 - 10x + 2[/tex]
B = [tex]3x^2 - 11x - 4[/tex]
We have to find the other trinomial A.
A - B = [tex]x^2 - 10x + 2[/tex]
A - ([tex]3x^2 - 11x - 4[/tex]) = [tex]x^2 - 10x + 2[/tex]
[tex]\Rightarrow[/tex] A = [tex]x^2 - 10x + 2[/tex] + ([tex]3x^2 - 11x - 4[/tex])
[tex]\Rightarrow[/tex] A = [tex]4x^2-21x-2[/tex]
So, the correct answer is [tex]4x^2-21x-2[/tex].
please help me as soon as you can please
Answer:
f(x) = 5 * ( 8/5) ^x
Step-by-step explanation:
f(x) = a b^x
Let x = 0
5 = a * b^0
5 = a*1
a = 5
Let x = 1
8 = 5 * b^1
Divide each side by 5
8/5 = b
f(x) = 5 * ( 8/5) ^x
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠T ≅ ∠C ∠T ≅ ∠A ∠T ≅ ∠D
Answer:
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
Pls help Q16 thx guys
Answer:
35°
Step-by-step explanation:
Extending line BC to point E on line AD
angle CED = 20° + 95°= 115°
ang|BCD|= ang|CED| + y
150°=115° + y
y= 150° - 115°
y= 35°
Answer:
y = 35°°
Step-by-step explanation:
∠BCD = 360 - 150 = 210°
Sum of angles of quadrilateral = 360°
210 + 20 + 95 + y = 360
325 +y = 360
Subtract 325 form both sides
y = 360 - 325
y =35°
Please answer this question now
Answer:
112°
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\widehat {BCD} = 2\times m\angle BAD\\
\therefore m\widehat {BCD} = 2\times 129\degree \\
\therefore m\widehat {BCD} = 258\degree\\\\
\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\
\therefore m\widehat{CD} = 258\degree - 146\degree \\
\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}} [/tex]
What is 105x - 125y + 236z if "x = 10, y = 23, and z = 54" (40 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT RIGHT FIRST GETS BRAINLIEST.
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
105x-125y+236z
Now you need to multiply the values which are given for respective variables.
=105*10-125*23+236*54
=1050-2875+12744
=10919
Hi there friend!
The answer: 10,919
First we need to rewrite the problem.
105(10) - 125(23) + 236(54)
Now we need to multiply everything like so it looks like this:
1050 - 2875 + 12744 which equals:
10,919
list the next three terms in the following sequence
1,2,4,7, 11, 16
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
The following are scores obtained by some students in a test.
8 18 10 14 18 11 13 14 13 17 15 8 16 13. Find the mode of the distribution
Answer:
[tex] \boxed{13}[/tex]
Step-by-step explanation:
Arranging the data in ascending order:
8 , 8 , 10 , 11 , 13 , 13 ,13 , 14 , 14 , 15 , 16 , 17 , 18 , 18 ,
In the case of discrete data, mode can be found just by inspection, i.e just by taking an item with highest frequency.
Here, 13 has the highest frequency
So, Mode = 13
Extra information
Mode
The mode of a set of data is the value with the highest frequency. A distribution that has two modes is called bimodal. The mode of a set of data is denoted by Mo.
Hope I helped!
Best regards!
How do I solve this question 5x - [7 - (2x - 1)] = 3(x - 5) + 4(x + 3)
Answer:
x = 6/4, or x = 3/2, OR x = 1 1/2
Step-by-step explanation:
5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)
Pick one side to work on first, I will chose the right side,
Distribute on the right side.
5x - [7 - (2x-1)] = 3x - 15 + 4x + 3
Now, add like terms on the right side.
5x - [7 - (2x-1)] = 7x - 12
Now, to isolate 7 - (2x -1), subtract 5x from both sides.
so now,
-7 - (2x-1) = 2x - 12
Now, we can add 7 to both sides of the equation to isolate -(2x-1)
we add instead of subtract because the seven is a negative.
-(2x-1) = 2x - 5
Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.
-2x + 1 = 2x - 5
Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.
6 = 4x
Divide both sides by 4
x = 6/4, or x = 3/2, OR x = 1 1/2
In a circle, an arc measuring 130° is what percentage of the circumference of the circle
Answer:
≈ 36.1%
Step-by-step explanation:
In any circle the following ratio is equal
[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus
percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%
an arc measuring 130° is approximately 36.11% of the circumference of the circle.
To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Let's assume the radius of the circle is r.
The circumference of the circle is C = 2πr.
To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:
Fraction of the angle = (130° / 360°) = (13/36).
Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:
Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).
Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:
Percentage = (Arc length / Circumference) * 100
Percentage = [(13/36) * (2πr)] / (2πr) * 100
Percentage = (13/36) * 100
Percentage = 36.11%
Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.
Learn more about arc length here
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8 times the sum of a and b
Answer:
c
Step-by-step explanation:
i did the quiz
Answer:
8(a + b)
Step-by-step explanation:
Sun of a and b = a + b
8 times of (a + b) = 8(a + b)
Indi, Mark, and Tess each pick a slip of paper with a subtraction
expression written on it. The person holding the card with the
greatest value wins a prize. Who wins the prize?
Answer:
Tess wins the prize.
Step-by-step explanation:
[tex]\boxed{\text{Indi}: 2-3}[/tex]
[tex]\boxed{\text{Mark}: -7-(-4)}[/tex]
[tex]\boxed{\text{Tess}: -1-(-7)}[/tex]
The expression of Indi's card is 2 - 3 = -1
The expression of Mark's card is -7 - (-4) = -7+4= -3
The expression of Tess's card is -1 - (-7) = -1+7= 6
I need helps will give you a good rating.
Answer: x = 3
Step-by-step explanation:
Sqrt(x+7) - 1 = x
Sqrt(x+7) = x + 1
x+7 = x^2 + 1
x = x^2 - 6
x=3
Can anyone help idk how to do it
Answer:
Carl can type 450 words in 5 minutes at that rate.
Step-by-step explanation:
Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)
if we multiply 90wpm by 5 Minutes, we get 450 words per minute
7.If 18, a, b, - 3 are in A.P., then a+b = ?
(1 Point)
1212
1515
1616
1111
please give the answer as fast as you can
please
Answer: 15
Step-by-step explanation:
General terms in AP
f, f+d, f+2d, f+3d, .... , where f= first term and d= common difference.
The given A.P. : 18, a, b, - 3
here, f= 18
[tex]f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\[/tex]
Put f= 18 in (iii) ,
[tex]18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7[/tex]
Put f= 18 and d= -7 in (i) and (ii) , we get
[tex]a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4[/tex]
Now, [tex]a+b= 11+4=15[/tex]
Hence, the correct answer is "15".
URGENTLY NEED THIS ASAP PLZ TYSM
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
She subtracted 6x from both sides when she should have added.
She subtracted 10 from both sides when she should have added.
She did not make a mistake.
When dividing by −8, she did not change the direction of the sign.
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Sally left Tampa traveling 66 mph. Keith, to catch up, left some time later driving at 75 mph. Keith caught up after 8 hours. How long was Sally driving before Keith caught up?
Answer:
9.1 hours
Step-by-step explanation:
Given
Sally
Speed = 66mph
Keith
Speed = 75mph
Time = 8 hours
Required
Determine how long Sally has traveled
To solve this, we make use of Speed formula.
Speed = Distance/Time
Make Distance the subject of formula
Distance = Speed * Time
For Sally:[Substitute 66mph for speed]
Distance = 66 * Time ------ Equation 1
For Keith [Substitute 75mph for speed and 8 hours for Time]
Distance = 75 * 8
Distance = 600m----- Equation 2
From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.
Hence;
Equation 1 = Equation 2
66 * Time = 600
Time = 600/66
Time = 9.1 hours
Hence, Sally has traveled 9.1 hours
The height of the rectangular prism is 2 m. If its volume is 72 cubic meters, what is the area of the base, in square meters?
Answer:
Base area is 36 square meters
Step-by-step explanation:
The volume of a rectangular prism is V = (height)(length)(width). We know all of these dimensions except for the area of the base, which is (length)(width).
Solving this equation for (length)(width), we get:
volume 72 m^3
(length)(width) = (area of base) = -------------- = ------------- = 36 m^2
height 2 m
Solve for d.
4d - 4 = 5d – 8
d =
Answer:
Step-by-step explanation:
-d - 4 = -8
-d = -4
d = 4
Answer:
d= 4
Step-by-step explanation:
4d - 4 = 5d – 8
Subtract 4d from each side
4d-4d - 4 = 5d-4d – 8
-4 = d-8
Add 8 to each side
-4+8 = d-8+8
4 =d
Cobalt-60 is used for radiotherapy. It has a half-life of 5.26 years. If 4 g of cobalt-60 is administered, how much remains in 3 years? A. 1.2 g B. 2.7 g C. 3.3 g D. 2.1 g E. 0.2 g
Answer:
B. 2.7 g
Step-by-step explanation:
The half life of a substance is the time taken for the substance to reduce to half of its original amount. It is given by:
[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\ Where\ A\ is \ the \ amount \ of \ substance\ remaining\ after\ t\ years, \\A_o \ is \ the\ initial\ value\ of \ the\ substance,\ t_{1/2} is\ the\ half\ life\ and\\t\ is\ the\ years\ spent[/tex]
Given that:
Ao = 4 g, t = 3 years, t(1/2) = 5.26 years. Therefore:
[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\A=4*(\frac{1}{2} )^\frac{3}{5.26}=4*0.6735=2.7\\ A=2.7\ g[/tex]
When writing a equation how do you know where to put the equal sign ?
Answer:
The equal sign is generally placed at the separation between the left hand side and the right hand side
Step-by-step explanation:
Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:
1. The left hand side2. The right hand sideGenerally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations
The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.
Find y round to the nearest tenth
Y is 27.8
Just trust me please :)
Choice #1: Marie made an error when solving the equation below.
Part A: Identify Marie’s error and explain why it resulted in an incorrect solution.
Part B: Correctly solve 4x - 8 = 36 for x. Show your work.
Answer:
Marie´s error was not to consider the number 8:
4x - 8 = 36
it´s equal to:
(4x-8)/4 = 36/4
4x/4 - 8/4 = 36/4
x - 2 = 9
x = 9+2
x = 11
probe:
4*11 - 8 = 36
44 - 8 = 36
Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
4x - 8 = 36
Marie add +8 on the left-hand side but forgot to add it to the right-hand side.
Thus, add +8 on the left as well as the right-hand side.
4x - 8 + 8 = 36 + 8
4x = 44
x = 11
Hence "Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11".
For more about the equation,
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If x is 5, then 6x = _____. please help >-
Answer:
30
Step-by-step explanation:
6x
Replace 'x' with 5.
6(5) =
6 * 5 =
30
Hope this helps.
Answer:
30
Step-by-step explanation:
6 x 5 = 30
Which expressions are factors of the quadratic function represented by this graph?
A. x and (x+6)
B. (x-6) and (x+6)
C. x and (x-6)
D. x and -6x
Answer:
C. [tex]x[/tex] and $(x-6)$
Step-by-step explanation:
The roots of the quadratic equation are $0$ and $6$.
Hence the equation is $(x-0)(x-6)=x(x-6)$
Answer:
See below
Step-by-step explanation:
4x + 5y = 19 , 5y - 4x = 38
Answer:
Step-by-step explanation:
Adding both equations
4x+5y+5y-4x=19+38
10y = 57
y= 5.7
Subtracting equation i from ii
5y-4x-4x-5y=38-19
-8x=9
x= -0.9
Where can parentheses be placed in the expression so that it has a value of 26? 4+2 ⋅ 14−3
Answer: 4+2 x (14-3)
Step-by-step explanation:
what is the key term for at most
Answer:
less than or equal to it hope this helps you!
(-2 + 1)² + 5(12 : 3) - 9.
Answer:
5(12 : 3) -8
Step-by-step explanation
when you solve the first half of the equation you get 1.
so 9-1 is 8.
A rhombus that is a rectangle is called
square ?
although this statement doesn't make any sense.
Answer:
Square!
Step-by-step explanation:
A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.
Hope helped.. If yes mark me BRAINLIEST
TYSM!
Estimate the solution to the following system of equations by graphing 3x +7y=10 2x-3y=-6
please mark me brain list
Answer:
(- 1/2,5/3)
Step-by-step explanation:
