Answer:
1.6
Step-by-step explanation:
you plug it into a calculator
Answer:
B.) 1.6
Step-by-step explanation:
What can be concluded about triangles RST and VTU?
The triangles are congruent and similar with a
proportional relationship of 1.
The triangles are congruent but not similar.
The triangles are similar but not congruent.
There is not enough information to determine if the
triangles are congruent or similar
Answer: It is A
Step-by-step explanation: Just did it on edg2020
Answer:
A
Step-by-step explanation:
Factorise: (a) 3x2 + 27y2 + z2 - 18xy + 6 √3yz -2 √3zx (b) 27 x3 + 125y3 (c) (2a – 3b + c )2
(d) 1 a3 + b3 + 125 c3 - 15 a b c (e) [x – 1/x y]3 (f) x4 y4 – x y
64^4
(g) 8x3 – (2x – y)3 (h) a6 _ b6
Answer please
Answer:
(a) [tex]3x^2 + 27y^2 + z^2 - 18xy + 6 \sqrt{3} yz -2 \sqrt{3} zx[/tex]
this can be written as
[tex](-x\sqrt{3})^2 + (y3\sqrt{3})^2 + (z)^2 +2 ( -x\sqrt{3} )( y3\sqrt{3}) + 2( y3\sqrt{3})(z) + 2(z)( -x\sqrt{3})[/tex]
which is equivalent to
[tex]a^2+ b^2 + c^2 + 2ab + 2bc + 2ac = (a+b+c)^2[/tex]
[tex](-x\sqrt{3} + y3\sqrt{3} + z)^2 = (-x\sqrt{3} + y3\sqrt{3} + z)(-x\sqrt{3} + y3\sqrt{3} + z)[/tex]
(b)[tex]27 x^3 + 125y^3[/tex] = [tex](3x)^3 + (5y)^3[/tex]
which is same as [tex]a^3 + b^3 = (a+b)(a^2 +b^2 -ab)[/tex]
= [tex](3x + 5y)(9x^2 + 25y^2 -15xy)[/tex]
(c) [tex](2a - 3b + c )^2[/tex] = (2a -3b +c)(2a -3b+c)
(d) [tex]a^3 + b^3 + 125 c^3 - 15 a b c[/tex]
this is same as
[tex]a^3 + b^3 +c^3 - 3abc[/tex] = [tex](a+b+c)( a^2+b^2+c^2 -ab-bc-ac)[/tex]
= [tex](a + b + 5c)(a^2+b^2 +25c^2 -ab -5bc -5ac)[/tex]
(e) [tex](x - 1/x y)^3[/tex] = [tex](x - 1/xy)(x - 1/xy)(x - 1/xy)[/tex]
(f) [tex]x^4 y^4 - x y64^4 = xy( x^3y^3 - 64^4) = xy( x^3y^3 - (256)^3) \\ = xy( xy - 256 )(x^2y^2 + 65536 + 256xy)[/tex]
(using the property of [tex]a^3 -b^3 = (a-b)(a^2+b^2 +ab)[/tex] )
(g) [tex]8x^3 - (2x - y)^3 = (2x)^3 - (2x-y)^3 \\ = (2x - 2x + y)(4x^2 + (2x-y)^2 + 2x(2x-y))\\ = y(8x^2 + y^2 -6xy +4x)[/tex] using the same property above
(h)
[tex]a^6 -b^6 = (a^2)^3 - (b^2)^3 = (a^2-b^2)( a^4+b^4 +a^2b^2)\\ = (a-b)(a+b)( a^4+b^4 +a^2b^2)[/tex]
Rob is buying some green apples to make some fresh apple juice. The price of the green apples is G and Rob has a coupon for 10% off. Consider the expressions given in the answers. Which expression is the price of the green apple after using the coupon?
A) 1.1g
B) 0.1g
C) g – 0.1g
D) g
E) g – 0.1
Answer:
c
Step-by-step explanation:
Bob bought 5 books for x dollars each and a DVD for $12. Write an expression for how much money Bob spent.
Answer:
5x+12
Step-by-step explanation:
X symbolizes how many he is buying plus the extra 12 dollars
Answer:
5x+12=y
Step-by-step explanation:
Y represents the amount of money spent.
if x represents the amount of one book and Bob bought 5 books than you have to multiply the amount of one book by five to get the amount spent on all the books. Thus getting 5x
You need an equation to find how much money spent total. Thus adding $12 because Bob also bought a DVD for $12.
Therefore, the only logical equation is 5x+12=y
$46 shoes; 2.9% tax.
Answer:
47.33
Step-by-step explanation:
youe welcome
The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply
Answer:
a, b ,e
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is solution to equations?"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."
For given question,
We have been given the graph of a quadratic function f(x) and an absolute value function g(x).
We need to find the x-values that are approximate solutions to the equation f(x) = g(x).
To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.
The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.
Also, the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.
So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
Learn more about the solution to the equation here:
https://brainly.com/question/14603452
#SPJ2
please solve this!
slope of dotted line:
slope of reflection line:
equation of reflection line:
Answer:
I-
Step-by-step explanation:
) 5)8%2=80)4)88=5=5=88=9=5)5=
Answer:
Slope of dotted/dashed line: -3
Slope of Reflection line: 0.25
Equation of Reflection line: y = 0.25x - 2
Step-by-step explanation:
Slope of dotted line: rise/run. So 3/1 = 3. It is a negative slop because of the way it is facing ( \ ).
Slope of reflection line: rise/run. So 1/4 = 0.25. It is a positive slope ( / ).
Equation of reflection line: y = mx + b
m = slope
b = y-intercept
y = 0.25x - 2
determine whether the given ordered pair is a solution of the equation y=-x-2; (1,-3)
Answer:
yes, the ordered pair is a solution for this equation
Step-by-step explanation:
y= -x-2
plug in 1 for x and -3 for y
-3= -1-2
-3= -3
There 18 rows of seats in the auditorium there are 24 seats in each row how many seats are in the auditorium
Answer:
432 seats
Step-by-step explanation:
Since 24 seats = 1 row, all we have to do is multiply 24 by 18, since there are 18 rows of seats. This would give us 432, which is the total number of seats in the auditorium.
What would the coordinates be if Figure A was dilated to three times the size and reflected across the y-axis?
A
(6, 18), (6, 3), and (18, 3)
B
(-6, 18), (-6, 3), and (-18, 3)
C
(-18, -6), (-3, -6), and (-3, -18)
D
(18, 6), (3, 6), and (3, 18)
Answer:B
Step-by-step explanation:
The new coordinates after dilation and the reflection across the y - axis will be (6, 3), (18, 3) and (6, 18).
What is dilation of a figure?
A dilation is a transformation that enlarges or reduces a figure in size.
Given is figure [A] as shown in the figure which is dilated three times the size and is reflected across the y-axis.
Given are the coordinates of the triangle as -
(-2, 1), (-6, 1) and (-2, 6)
When the image is dilated by K, then each coordinate will become -
(x, y) = (Kx, Ky)
Therefore, the new coordinates will be -
(-6, 3), (-18, 3) and (-6, 18)
Now, in reflection across the y - axis, the coordinates will become (-x, y) from the coordinates (x, y).
Therefore, the final coordinates will be -
(6, 3), (18, 3) and (6, 18)
Therefore, the new coordinates after dilation and the reflection across the y - axis will be (6, 3), (18, 3) and (6, 18).
To solve more questions on dilations, visit the link below-
https://brainly.com/question/20810552
#SPJ5
help me pls i want to pass my math class
Answer:
d
Step-by-step explanation:
The function is nonlinear. Linear is a straigt line and this function has a curve. You can find that by thinking of the story or placing it on a graph.
Answer:
d
Step-by-step explanation:
the answer is non-linear because a linear function would only have the first part not 9x+4
Which goddess corrupted Heracles' mind?
pleas
Answer:
his daughter, Megara
Step-by-step explanation:
Find the perimeter of the figure if the following is true:
A= x^2
B= 4x + 8
C= 2x^2
D= x
The perimeter of a figure is the distance around the outside of the figure. To find the perimeter of this figure, we need to add the lengths of all sides. This is:
P = A + B + C + D
P = x² + 4x + 8 + 2x² + x
P = 3x² + 5x + 8
The perimeter is 3x² + 5x + 8.
Find the sum of the finite geometric series
6 - 4 + 8/3 - 16/9 + 32/17
Answer:
The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
Step-by-step explanation:
We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17
The formula used to find sum of geometric series is [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a is 1st term, n is number of terms and r is common ratio
so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have
First Term a=6
Common ratio r= -0.6
Number of terms n= 5
Putting values in formula to find sum of given geometric series
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_n=\frac{6(1-(-0.6)^5 )}{1-(-0.6)}\\S_n=\frac{6(1-(-0.07776))}{1+0.6}\\S_n=\frac{6(1+0.07776)}{1.6}\\S_n=\frac{6.46656}{1.6}\\S_n=4.0416[/tex]
So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
please help me, solve for n
Answer:
The value of n will be:
[tex]n=\frac{89}{4}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{n}{2}-8^{-1}=11[/tex]
Apply the exponent rule:
[tex]a^{-1}=\frac{1}{n}[/tex]so the expression becomes
[tex]\frac{n}{2}-\frac{1}{8}=11[/tex]
Add 1/8 to both the sides
[tex]\frac{n}{2}-\frac{1}{8}+\frac{1}{8}=11+\frac{1}{8}[/tex]
[tex]\frac{n}{2}=\frac{89}{8}[/tex]
[tex]n=\frac{89}{4}[/tex]
Therefore, the value of n will be:
[tex]n=\frac{89}{4}[/tex]what is the consent term in the expression 6x^3y+8x^2+5x+7 PLZ HELP ME. NO THERE IS NO ANSWER CHOICES. giving brainliest to right answer
Answer:
+ 7
Step-by-step explanation:
The constant term in the polynomial is the only term with no variable attached to it.
In this case that is + 7 ← constant term
Find the exact value of sec 3pi/2
If not defined, write undefined.
Answer: Undefined
Step-by-step explanation:
Sec 3[tex]\pi[/tex]/2 = 1/Cos(3[tex]\pi[/tex]/2) = 1/0 = Undefined
The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests. Math Scores vs. Hours Spent Studying A graph titled math scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (2.5, 60) and (3.5, 70). Science Scores vs. Hours Spent StudyingA graph titled science scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 40) and (3.5, 50). Spelling Scores vs. Hours Spent Studying A graph titled spelling scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 80) and (4.5, 90). History Scores vs. Hours Spent Studying A graph titled history scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 50) and (2, 70). Which graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying
Answer:
The answer is C)Spelling Scores vs. Hours Spent Studying
Step-by-step explanation:
This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps
The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph
What is the slope of a line?The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values
Check below on how the trend line with the least slope can be determined
From the question, we have:
Line 1: (2.5, 60) and (3.5, 70)Line 2: (0.5, 40) and (3.5, 50)Line 3: (0.5, 80) and (4.5, 90).Line 4: (0.5, 50) and (2, 70).The slope (m) is calculated using:
m = (y₂ - y₁)/(x₂ - x₁)
So, we have:
m₁ = (70 - 60)/(3.5 - 2.5) = 10m₂ = (50 - 40)/(3.5 - 0.5) = 3.3m₃ = (90 - 80)/(4.5 - 0.5) = 2.5m₄ = (70 - 50)/(2 - 0.5) = 13.3The line 3 has the least slope
i.e. m₃ = 2.5
Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph
Read more about slope at:
https://brainly.com/question/1884491
Multiply out 3(2x-7)
Answer:
6x-21
Step-by-step explanation:
3*2x = 6x
3*-7 = -21
6x-21
need your help with math
Answer:
y=3/4x+2
Step-by-step explanation:
ILL MARK BRAINLIEST PLS HELP
Select all of the descriptions
which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x)=4x.
A
The graph is rotated about (0,0), becoming steeper.
B
The graph is vertically stretched.
The graph is translated 4 units up.
D
The graph is translated 4 units to the right.
E
The graph is vertically shrunk.
F
The graph is reflected across the x-axis.
Answer: A)
Step-by-step explanation:
The bakers at healthy bakery can make 330 bagels in 5 hours. How many bagels can they bake in 13 hours? what was that rate per hour
Which algebraic expression means "four less than three times a number"
Answer:
3x-4
Step-by-step explanation:
"3 times a number" is 3x where x is the number
"Four less than" means we subtract four from 3x
Therefore, 3x-4 is the correct algebraic expression
HELP! Which number is a rational number?
A. Square Root of 9/2
B. Square Root of 13/16
C. Square Root of 49
D. Square Root of 34
Answer:
its c or the square root of 49
Answer:
The answer is C. (square root of 49)
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Write the integer of where the flea is now on the number line. number line
Answer:
This is How to solve a integer: Write your number on a piece of paper. You can write your integer in a variety of ways. For instance, write your integer in standard form (such as 63), expanded form (such as 100+50+2, which in standard form would be 152) or in written form (such as one thousand two hundred thirteen).
Step-by-step explanation:
Multiply ()
Part A: What is/are the restricted value(s)?
Part B: What factor(s) can be eliminated before multiplying?
Part C: What is the simplified product?
Select all answers that apply for Part A and Part B, and select one answer for Part C.
C: 3x-12
———-
x^2+2^x
B: x+2
C:(x-4)(15x)
————-
(5x^2)(x+2)
A: -2
C: 3x-12
-———
x+2
A: 0
A: 5
C: 3x-6
———
x
A: -4
A: 2
B: x
A: 4
B: 5
B: x^2
Answer:
Step-by-step explanation:
b, i'm not sure but thats what i think.
Which of the following expressions are equivalent to x+2-x
A. 2(x + 3) + 2x and 4x + 3
B. -2 + 4 (x + 3 ) and 4x + 10
C. 3x + 5 ( x - 1) and 8x - 5
D. 5x - 2 (x + 4) and 3x + 8
E. 4 - 5 (x + 2) and 5x - 6
Answer: The anwer is A. x+2-x. It is correct!
Step-by-step explanation:
Khanacademy
Sharon’s organization hopes to raise more
than $10,000 at their annual 5k race. what is the inequality?
1 Subtracting Fractions
Find the sum of 5
7
and
10
1o
The expression written in equivalent form with common
denominators is
The sum is
Step-by-step explanation:
The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;
[tex]\frac{5}{7}+ \frac{10}{1} \\The \ LCM \ is \ 7\\\\= \frac{5(1)+10(7)}{7}\\\\= \frac{5+70}{7}\\\\= \frac{75}{7} \\\\= 10 \frac{5}{7}[/tex]
Hence the expression written in equivalent form of common denominator is [tex]\frac{5 + 70}{7}[/tex]
The sum is [tex]10 \frac{5}{7}[/tex]
The table shows the results of a survey on students'
favorite kind of movie. Select the appropriate values to
complete the model to find the fraction of students that
prefer comedy or action movies.
What fraction of the students who were surveyed prefers
comedy or action movies?
Answer:
71/100
Step-by-step explanation:
Action 29 plus comedy 42 equals 71 and if you add action, comedy, drama, and horror you get your denominator of 100
Fraction of the students is 71/100 who were surveyed prefers comedy or action movies.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
Number of students who prefer action = 29
Number of students who prefer comedy = 42
Here, Total students = 100
Hence, Fraction of the students who were surveyed prefers comedy or action movies is,
⇒ 29/100 + 42/100 = 71/100
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ2