Answer:
Step-by-step explanation:
I also need the answer
Round to one decimal place (BRAINLIEST)
Answer:
The abswer woudl be 6.4
Step-by-step explanation:
you would divide 4.9 by 2.6 and get 1.884615 and then multiply that by 3.4 to get 6.4
Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Factor x2 − 16. Show your work. (3 points) (10 points)
Answer:
Part A : y²(x + 2)(x + 4)
Part B: (x + 4) (x + 4)
Part C: (x + 4) (x - 4)
Step-by-step explanation:
Part A: Factor x²y²+ 6xy²+ 8y²
x²y²+ 6xy²+ 8y²
y² is very common across the quadratic equation , hence
= y² (x² + 6x + 8)
= (y²) (x² + 6x + 8)
= (y²) (x² + 2x +4x + 8)
= (y²) (x² + 2x)+(4x + 8)
= (y²) (x(x + 2)+ 4(x + 2))
= y²(x+2)(x+4)
Part B: Factor x² + 8x + 16
x² + 8x + 16
= x² + 4x + 4x + 16
= (x² + 4x) + (4x + 16)
= x( x + 4) + 4(x + 4)
= (x + 4) (x + 4)
Part C: Factor x² − 16
= x² − 16
= x² + 0x − 16
= x² + 4x - 4x - 16
= (x² + 4x) - (4x - 16)
= x (x + 4) - 4(x + 4)
= (x + 4) (x - 4)
Suppose for every dollar change in household wealth, consumption expenditures change by $0.05. If real household wealth declines by $45 billion, potential GDP is $120 billion, and the multiplier effect for the second year after an expenditure shock is 1.1, what is the total change in output relative to the potential for the second year?
Which expression is a perfect cube?
12x12y18
O 12x27,125
O 64x15y18
64x27
27,125
Answer:
D: 64 x^27 y^125
Step-by-step explanation:
You can use either a calc or your knowledge of cube roots. I will be using knowledge.
You can automatically rule out a and b as if you take the cube root of 12, no whole number comes out. You are left with c and d. Option D is correct because the cube root of 64 is a whole number (4), the cube root of 27 is a whole number (3), and the cube root of 125 is also a whole number(5).
how can 18, 3, 24 = 30 in order of operations
Answer:
*,-
Step-by-step explanation:
18x3=54
54-24=30
GUYS PLEASE ANSWER URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
17 : i 12x^2(4x−3) ,
ii : 5x(x−3y) ,
iii: 5xy^2z(3x^2−5z^2)
18) since the two polynomial are equal then :
2x^3+ax^2+3x-5 = x^3+x^2-2x+a same remainder x-2 then x=2
2(2)^3+a(2)^2+3(2)-5=(2)^3+(2)^2-2(2)+a solve for a
-3a=9
a=-3
18 ) x^3+y^3 -125+15xy
x^3+y^3-(5)^3-3(x)(y)(-5) then factorize x^3+y^3
(x+y)(x^2-xy+y^2)- (5)(5)^2-3(x)(y)(-5) common factor x+y-5
(x+y-5)(x^2-xy+y^2-5^2-3xy given x+y=5
5-5( x^2-xy+y^2-25-3xy) = 0
the value of the expression equal to zero
Calculate the sample standard deviation of data from Question 1
76,45,64,80,92
Answer:
[tex]S.D = 15.98[/tex]
Step-by-step explanation:
Given: 76,45,64,80,92
Required: Determine the standard deviation
We start by calculating the mean
[tex]Mean = \frac {\sum x}{n}[/tex]
Where x-> 76,45,64,80,92 and n = 5
[tex]Mean = \frac {76+45+64+80+92}{5}[/tex]
[tex]Mean = \frac{357}{5}[/tex]
[tex]Mean = 71.4[/tex]
Subtract Mean (71.4) from each of the given data
[tex]76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6[/tex]
Determine the absolute value of the above result
[tex]|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6[/tex]
Square Individual Result
[tex]4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36[/tex]
Calculate the mean of the above result to give the variance
[tex]Mean = \frac {\sum x}{n}[/tex]
[tex]Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298[/tex]
Hence, Variance = 255.298
Standard Deviation is calculated by [tex]\sqrt{Var}[/tex]
[tex]SD = \sqrt{255.298}[/tex]
[tex]S.D = 15.9780474402[/tex]
[tex]S.D = 15.98 (Approximated)[/tex]
100 POINTS Please help asap !! Select the correct answer from each drop-down menu. The graph represents the piecewise function ____ ( Answer choices: -x^2 ; 2x^2 ; (x/2)^2 ; x^2 ), if ____ (answer choices: x is less than 2 ; x is greater than 2 ; x is less than or equal to 2 ; x is greater than or equal to 2) ; ____ ( answer choices: -5 ; -5/2 ; 4 ; 5 ) , if ____ (answer choices: 2 is less than or equal to x and x is less than or equal to 4 ; 2 is less than or equal to x and x is less than or equal to 4 ; 2 is less than or equal to x and x is less than 4 ; 2 is less than x and x is less than or equal to 4 )
Answer:
Step-by-step explanation:
The graph represents the piecewise function:
f(x)=x^2 if x<2(if x is less than 2) (the parabola was not transformed by any means and represents the parent function y=x^2)
f(x)=5 if 2≥x<4 (if x is greater than or equal to 2, but less than 4)(this is a horizontal line on y=5)
Answer:
THAT GUY SAID IT RIGHTD=
Step-by-step explanation:
8.7x – 1.9x = 116.96
Help please
Answer: x = 17.2
Step-by-step explanation:
So we can combine 8.7x and 1.9x as they are considered like terms.
So basically since they have the same base of x we can disregard the x when subtracting.
So its more like 8.7-1.9 which = 6.8
Now add the x back
So it is 6.8x = 116.96
Now we need to isolate the variable.
To do this we need to divide the 6.8 on both sides.
So x = 116.96/6.8
x = 17.2
Simon gets some money for his birthday.
Simon spends ¹/₂ of his money on a bike.
He then gets £20 more from his gran for his birthday.
He spends ¹/₄ of what he has left on a new game.
He has £57 left.
How much does Simon get for his birthday altogether?
Answer:
£112 initial + £20= £ 132
Step-by-step explanation:
Initial amount= x
(x-x/2+20)*3/4= 57(x/2+20)= 4*57/3x/2+20=76x/2=56x=2*56x=112And he received £20, added to initial amount it total to £132
Lets verify the answer:
112112-56= 5656+20=7676-76/4= 76-19= 5757=57Answer:
27
Step-by-step explanation:
(57 ÷ 4_1 +57 _20) ÷2
(57÷3 +57 _20) ÷2
(19+57 _20)÷2
(76 _ 20)÷2
(56 ) ÷2
= 28
Please complete the rest.
Answer:
Step-by-step explanation:
9)
10110 in base 2
base 5= 10110*5/2=50550/2=25275
base 10=10110*5=50550
10)
110001 in base 2
base 5= 110001*5/2=550005/2=275002.5
base 10=110001*5=550005
11)
14 in base 5
base 2=14*2/5=28/5=56/10=5.6
base 10=14*2=28
12)
40 in base 5
base 2=40*2/5=80/5=160/10=16
base 10=40*2=80
13)
124 in base 5
base 2=124*2/5=248/5=49.6
base 10=124*2=248
14)
200 in base 5
base 2=200*2/5=400/5=80
base 10=200*2=400
15)
21 in base 5
base 2= 21*2/5=42/5=84/10=8.4
base 10=21*2=42
Given y = (2x + 3)2, what is the standard form of the given quadratic equation.
Answer:
[tex]y=4x^2+12x+9[/tex]
Step-by-step explanation:
Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:
[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]
23. Choose the solution(s) to the equation 4x2 - 100=0
Show your work.
A.
x = -5, 5.
В.
x = -10, 10
C.
x = 5
D.
x = 25
Answer:
X=5
Step-by-step explanation:
4x²=100
x2=100÷4
x²=25
√x²=√25
x=5
The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
Step-by-step explanation: Our first task in this problem is to setup variables representing length and width and we do that by using the second sentence.
The length is twice the width
So if we call our width x, that means that our length is 2 times x or 2x
Width of the rectangle ⇒ x
Length of the rectangle ⇒ 2x
Before moving on, go ahead and draw a picture of your
rectangle so that you can visualize what's going on.
I have done this for you below.
We label our widths x and our lengths 2x.
Now we can use the first sentence to setup our equation.
The perimeter of a rectangle is the distance
around the outside of the figure.
So if our perimeter is 60, that means that x + x + 2x + 2x = 60.
Simplifying by combining like terms, we get 6x = 60.
Now dividing both sides by 6, we find that x = 10.
Since x represents width, our width is 10.
Our length therefore with be 2(10) or 20.
So our width is 10 and our length is 20.
Which comes first? Intermediate algebra, or algebra?
Answer
Algebra
Step-by-step explanation:
Intermediate is the same as algebra 2
Answer:
Step-by-step explanation:
Algebra
PLEASE HELP!!!!!!!!!!!!
(02.01)The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
Which of the four triangles was formed by a translation of Triangle ABC?
1
2
3
4
here is the picture
Answer:
4
Step-by-step explanation:
4 have same sides and sizes
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.1 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer:
c ≅ 35.4 cm.
Step-by-step explanation:
To find the length of the Hypotenuse of a triangle, the formula a² + b² = c² will need to be used. Therefore:
26² + 24² = c² (c is the hypotenuse)
1252 = c²
√1252 = c
c ≈35.38
Round to tenths place:
c ≅ 35.4 cm. This is the Hypotenuse of the triangle.
What are the values of x and y in the matrix equation below?
X+4
y^2+1
+
-9x
-17
=
28
0
Answer:
4.) x=-3 and y=4
Step-by-step explanation:
[x+4] + [-9x] = [28]
First plug in x into the equation
[-3+4] + [-9(-3)] = [28]
[1] + [27] = [28]
1+27=28 (True)
Next, plug in y into the equation
[y^2+1] + [-17] = [0]
[(4)(4)+1] + [-17] = [0]
[16+1] + [-17] = [0]
[17] + [-17] =[0]
17 + -17=0 (True)
The Answer is D- X = -3 and Y= 4
Answer:
D, -3, 4
Step-by-step explanation:
EDGE 2020
Choose the equation that satisfies the data in the table.
Answer:
[tex]y=-4\,x-4[/tex] which agrees with answer "A" in the list of possible options
Step-by-step explanation:
From the fact that there is a steady rate of increase in the x and in the respective y values (notice that x increases in steps of 1 unit, and at the same time y values increase in steps of "-4" units) the data belongs to the equation of a line.
We can determine that equation using just two pairs of points, like for example (-1, 0) and (0, -4).
We first find the slope using the slope formula for the segment that joints any two points on the plane:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-4-0}{0-(-1)}\\slope = -4[/tex]
we now write the slope-intercept general form of a line with slope "-4", and solve for the intercept by using the point (0,-4) which should be in the line:
[tex]y=m\.x+b\\y=-4\,x+b\\-4=-4\,(0)+b\\b=-4[/tex]
Therefore the equation for this points is:
[tex]y=-4\,x-4[/tex]
6 (2n+3) whats the answer T-T
Answer:
12n+3
Step-by-step explanation:
Which expressions are equivalent to -3(2w+6)-4
Answer:
B
Step-by-step explanation:
Am equivalent expression would be 2(-3w+(-11))= -6w-22
Sorry for my first answer
Mark wishing brainliest
Answer:
B. 2(-3w+(-11))
Step-by-step explanation:
-3(2w+6)-4=
-6w-18-4=
-6w-22=
2(-3w+(-11))
6:
Which expression is equivalent to−2(4+3x)
A
−8+12x
B
8−6x
C
−8+6x
D
−8−6x
Answer: The expression equivalent to -2(4+3x) is D. -8-6x
Answer:
-8 -6x
Step-by-step explanation:
−2(4+3x)
Distribute
-2*4 -2*3x
-8 -6x
Help how do you do this help fast please
Answer:
x= 50°
Hope it helps!
Step-by-step explanation:
The sum of the exterior angles of a polygon is always 360°
So, x+40+x+20+2x+2x = 360
6x + 60= 360
6x = 360-60 = 300
6x= 300
x= 300/6
= 50
A small theater sold 72 tickets for a
play. The ratio of adult tickets to child
tickets was 4:1. The ratio of adult
tickets to senior tickets was 4:3.
Answer:
Number of child tickets = 9
Number of adult tickets = 36
Number of senior tickets = 27
Step-by-step explanation:
Given:
The ratio of adult tickets to child tickets = 4:1
Ratio of adult tickets to senior tickets = 4:3
Number of total tickets = 72
Find:
The number of each ticket.
Computation:
Ratio between Adult to senior to child = 4:3:1
So,
Number of child tickets = [1 / (4+3+1)]Total tickets
Number of child tickets = [1 / (8)]72
Number of child tickets = 9
Number of adult tickets = [4 / (4+3+1)]Total tickets
Number of adult tickets = 36
Number of senior tickets = [3 / (4+3+1)]Total tickets
Number of senior tickets = 27
What is the solution set of –|–x| = –12?
Answer:
I-xI=12
-x=12
-x=-12
x=-12 or -12.
{-12, 12}
What is the value of X ?
Answer:
30
Step-by-step explanation:
180 = 90 + x + 20 + x + 10
90 = 2x + 30
x = 30
Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Answer:
Around 16.73 feet
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. Therefore:
[tex]\sin 42 = \dfrac{x}{25} \\\\x=25\cdot \sin 42\approx 16.73[/tex]
Hope this helps!
When constructing an angle bisector of an angle, the first step is to draw
Question 6 options:
A)
two arcs in the interior of the angle.
B)
a segment bisector of both the sides of the angle.
C)
a line passing through the intersection of the arcs and the vertex.
D)
an arc using the vertex as the center, intersecting both sides of the angle.
if y=56+7+8x find x
Answer:
the answer should be 7.875 I think?Hope this helps.
Step-by-step explanation:
Suppose a normal distribution has a mean of 18 and a standard deviation of 4.
A value of 24 is how many standard deviations away from the mean?
A: -3
B: -1.5
C: 1.5 **** The answer I believe is correct :)
D: 3
24 is 2.5 standard deviations away from the mean.
What is standard deviation?Now it given that,
mean = 18
standard deviation = 4
value = 24
Let x be the standard deviation away from the mean.
Since we know that,
Mean + Standard deviation * x = Value
Therefore putting the value we get,
18 + 4x = 24
Subtracting 18 both the side,
or, 4x = 24 -18
or, 4x = 6
Dividing by 4 both the side we get,
or, x = 6/4
or, x = 2.25
Hence,24 is 2.5 standard deviations away from the mean.
Read more about mean and standard deviation :
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