[tex]factorise : - \\ \\ 4x {}^{2} - 56x + 196 \\ \\ please \: help \: [/tex]
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![[tex]factorise : - \\ \\ 4x {}^{2} - 56x + 196 \\ \\ Please \: Help \: [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/sm6DRc47LaZ6I4kDcWK0yJieLKlSLSrp.png)
[tex]\large\bold{\underline{\underline{ 4( {x - 7})^{2} }}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4x {}^{2} - 56x + 196[/tex]
Take [tex]4[/tex] as the common factor.
[tex] = 4( {x}^{2} - 14x + 49)[/tex]
[tex] = 4( {x}^{2} - 7x - 7x + 49)[/tex]
Taking [tex]x[/tex] as common from first two terms and [tex]7[/tex] from last two terms, we have
[tex] = 4 \: [ x(x - 7) - 7(x - 7) ][/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = 4(x - 7)(x - 7)[/tex]
[tex] = 4( {x - 7})^{2} [/tex]
[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]
Related Questions
On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2
Answers
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
For x between -1(inclusive) and 0, y takes a constant value of -1.
For x between 0(inclusive) and 1, y takes a constant value of -2.
For x between 1(inclusive) and 2, y takes a constant value of -3.
Additionally:
At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.
For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064
Answer:
Step-by-step explanation:
1. (1, 3); (2, 3)
2. (0, 0) (1, 0)
3. (-1, 1) (0,0)
What is the range of the function?
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Answer:
all real numbers greater than or equal to 11
How would I do this??
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Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?
Answers
Answer:
BC = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² + AC² = AB²
BC² + ([tex]\frac{5}{13}[/tex] )² = 1²
BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )
BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )
BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]
Factor completely 3x - 15.
O 3(x - 5)
O 3(x + 5)
O 3x(-15)
O Prime
Answers
Answer: First Choice. 3 ( x - 5 )
Step-by-step explanation:
Concept:
When we are doing factoring, we should try to find any Greatest Common Factor (GCF) of all constants in the given expression.
The Greatest Common factor is the largest value of the values you have, that multiplied by the whole number is able to "step onto both".
Solve:
Factors of 3: 1, 3
Factors of 15: 1, 3, 5, 15
As we can see from the list above, 3 appears in both lists of factors and is the greatest for 3. Therefore, [3] is the GCF of 3 and 15
Divide 3 for both numbers to find the remaining.
3x / 3 - 15 / 3x - 5Check whether or not the remaining can be divisible
Ans: NOPut the factored out 3 and remaining together
3 ( x - 5)Hope this helps!! :)
Please let me know if you have any questions
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
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they don't share any points
that's one thing, but I don't know what your options are of course.
see screenshot for illustration of the inequalities
Calculate the mean of the following list of numbers: 10, 12, 7, 9, 9, 11, 15, 9
PLEASE HELP!!!!
9
9.5
10.67
10.25
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82/8=10.25
2.1: Solve the one step equation
9. 70 = -5x
10. x4 = 36
11. 7x = -54
Answers
Answer:
-14, 9 and - 54/7
Step-by-step explanation:
70=-5x, x=-144x=36, x=97x=-54, x=-54/7A grocer purchased 200 eggs at rs.9each. 20 of them were broken and he/she sold the rest at rs.9.50 each.Find his /her profit or loss percent.
Answers
Answer:
5.55%
Step-by-step explanation:
Hope this helped you
If this helped you, plz mark me as brainiliest
Sorry for bad handwriting.
Thank you
What is the percent change from 75 to 14?
Answers
Answer:
the change is -81.33% (the 3 is repeating)
( x-3 ).( 2x-3 ) = 0
Answers
Answer:
Step-by-step explanation:
Assuming you want to find x, we can set two equations:
x-3=0
2x-3=0
This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.
solve for x on both sides, and you get 3 and 1.5
Answer:
[tex]x=3, x=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]
The zero product theorem will be used here to solve this non-linear problem.
means that in the original equation, each variable component must be set to zero.
[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]
To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.
so, -3 will be moved to the right side
Notice that when a term moves from one side of the equation to the other, it changes sign.
[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]
[tex]x\left \{ 3,\frac{3}{2} \}[/tex]
OAmalOHopeO
what is the sum of the square root of 63 and 144,divided by 5
Answers
Answer:
Step-by-step explanation:
(√63 + 144)/5 = (3√7 + 144)/5 = 0.6√7 + 28.8
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
PLEASE HELP ME!!! IVE BEEN AVOIDING THIS FOR SO LONG
Answers
(a) The IQR for the males' data is 12, because Q3 is at 15 and Q1 is at 3.
(b) The difference between the median values of each data set is 4 because 10-6 = 4
(c) For the males' data, the median would be a better measure of center, since the data is skewed right. For the females' data, the mean would be a better measure of center, because the data is pretty balanced (except for the outlier).
(d) Maybe a superhero movie had their opening night one day of this month, which would explain the outlier.
Please help me ill give brainliest!!
Answers
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
I need help ASAP!!Please explain how to do the problem
Answers
Answer:
i think its 30
Step-by-step explanation:
perimeter is the sides added together
Answer:
44 units
Step-by-step explanation:
The tangents from an external point to a circle are congruent, then
perimeter = (9 + 9) + (8 + 8) + (13 - 8 ) + (13 - 8)
= 18 + 16 + (5 + 5)
= 18 + 16 + 10
= 44 units
The circumference of a circle is 14 meters. Which of the following represents the area of the circle
Answers
Answer:
A = 49/pi
Step-by-step explanation:
C = 2 * pi *r
14 = 2 * pi *r
Divide each side by 2 pi
14/2pi = r
7/pi = r
The area is given by
A = pi r^2
A = pi ( 7/ pi)^2
A = pi * 49 / pi^2
A = 49/pi
Answer:
[tex]area = {15.61m}^{2} [/tex]
explanation is attached to the picture
Hope this helps you
Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.
Answers
Answer:
Step-by-step explanation:
Common difference is -9.
t_1 = 2
t_n = t_1 - (n-1)9
= t_1 - (9n - 9)
= 2 - (9n - 9)
= 11 - 9n
Which of the following graphs best represents the solution to the pair of equations below?
y = −x + 6
y = 2x − 3
Answers
The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area of the new object.
Answers
Answer:
Volume: 52 Units Squared
Surface Area: 94 units.
Step-by-step explanation:
The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.
The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.
Differentiate y= ln (6 – 3x)^4
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Step-by-step explanation:
[tex] \frac{dy}{dx} = \frac{1}{ {(6 - 3x)}^{4} } \times {4(6 - 3x)}^{3} ( - 3) \\ = \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} } \\ = - \frac{12}{6 - 3x} [/tex]
I hope I'm correct. I've never learnt differentiation for log and exponents before
In the right triangle ABC, angle A is 36 degrees.
Answers
Answer:
Step-by-step explanation:
Start with the Big 3. The Big three are the ones on your calculator. The other three are the reciprocals of the big 3.
Sin A = 0.5878
Cos A = 0.8090
Tan A = 0.7265
=============
Now for the reciprocals. I'll leave you to put them in the order that the question asks for.
Cot A = 1/ Tan(A) = 1/0.7265 = 1.3763
CSC A = 1/sin (A) = 1/0.5878 = 1.7013
SEC A = 1/ Cos(A) = 1/0.8090 = 1.236
A square has an area of 49 cm squared what is the length of each side
Answers
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
Can someone help me I don't understand
Answers
Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
Question 1 (1 point)
The perimeter of an iPad Air is 820 mm. Its length is 100 mm less than twice the
width.
If x = the length of the iPad Air and y = the width of the iPad Air, the linear system of
equations that could be used to model this situations is,
2x + 2y = a
bx = cy-d
The value of a is:
Answers
Answer:
a is the perimeter which is given as 820 mm.
Step-by-step explanation:
Perimeter, P = 820 mm
Length is 100 m less than twice of width
let the length is x and the width is y.
So,
x = 2 y - 100
P = 2 (x + y)
820 = 2 (2y - 100 + y)
410 = 3 y - 100
3 y = 510
y = 170 mm
x = 2 x 170 - 100 = 240 mm
The equation is
2 x = 2 y = a
where, a is the perimeter which is given as 820 mm.
Please help…
As soon as possible..
Answers
note: you may need to leave off the pi term if your teacher just wants to know what goes in the green box
======================================================
Work Shown:
C = 2*pi*r
C = 2*r*pi
C = 2*5*pi
C = 10pi
find cosØ if sinØ=-12/13 and tanØ>0.
A) -5/12
B) -5/13
C) 12/5
D) -13/12
Answers
Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:
B) -5/13
Step-by-step explanation:
i hope it will help
plzz mark as brainliest if you want
First, find the length of each edge of the cube.
Then, find the volume.
Answers
since in a cube length, width and height are equal,
h = 6
w = 6
l = 6
and volume is 6³ = 216cm³
hope it helps :)
rationalize the denominator of 7+3√2
Answers
Answer:
31
Step-by-step explanation:
To rationalise 7 + 3[tex]\sqrt{2}[/tex] , multiply by its conjugate
The conjugate of 7 + 3[tex]\sqrt{2}[/tex] is 7 - 3[tex]\sqrt{2}[/tex] , then
(7 + 3[tex]\sqrt{2}[/tex])(7 - 3[tex]\sqrt{2}[/tex]) ← expand using FOIL
= 49 - 21[tex]\sqrt{2}[/tex] - 21[tex]\sqrt{2}[/tex] - (3[tex]\sqrt{2}[/tex])²
= 49 - 18
= 31
for a mathematical statement to be an equation, the quantities on each side of an equal sign must be?
Answers
Answer:
equal or balanced
Step-by-step explanation
the = demonstrates the amounts need to be the same
Answer: Balanced.
Step-by-step explanation:
For an equation each side shall be equal (balanced) or else it's NOT an equation.
Rút gọn bthuc
7x(4y-x) + 4y(y-7x) - (4y^2 -7x)
Answers
¢✓¢==¢=
Step-by-step explanation:
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