Answer:
=4m^2−11m+6
Step-by-step explanation:
Given algebraic expression:
(m-2)(m•2+2m-3)
To:
Simplify
Solution:
(m−2)(m(2)+2m−3)
=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)
=2m^2+2m^2−3m−4m−4m+6
=4m^2−11m+6
Consider the sets A = {4,6,8} and B = {4,5,6} Find Ax B (b) Find the power set AB)
a) A × B is the Cartesian product of A and B, given by the set
A × B = {(a, b) | a ∈ A and b ∈ B}
Then for A = {4, 6, 8} and {4, 5, 6}, we have the product
A × B = {(4, 4), (4, 5), (4, 6), (6, 4), (6, 5), (6, 6), (8, 4), (8, 5), (8, 6)}
b) The power set of a set X is the set containing all subsets of X. I'm not sure what you're asking to find the power set of, though. Hopefully it's not of A × B, since that would contain 2⁹ = 512 elements...
Instead I'll assume you mean a simpler set, such as A ∩ B. The intersection of A and B is
A ∩ B = {4, 6, 8} ∩ {4, 5, 6} = {4, 6}
and has only 2 elements, so its power set has 2² = 4 elements (much more manageable!) and is the set
Pow(A ∩ B) = {{}, {4}, {6}, {4, 6}}
A baseball "diamond" is actually a square with side lengths of 90 feet. In a game, a runner tries to steal second base. How far must the catcher throw from home plate to second base in order to get the runner out?
Answer:
about 127.28 feet
Step-by-step explanation:
The length of the hypotenuse of a right triangle with a base and a height of 90 feet each.
root (90)^2 + (90)^2
Find the area of the trapezoid.
The image is of a trapezoid with the lengths of lower and upper parallel sides marked as 12 in. and 8 in. respectively. The length of left side of the trapezoid which is perpendicular to the base is 7 in. and the fourth side is 8 in.
A. 140 in.2
B. 35 in.2
C. 75 in.2
D. 70 in.2
Answer:
Its a for me
Step-by-step explanation:
trust me fuys
3/y-3=12/y+3, what is y?
Answer:
i am not sure about your question but if it is 3 divided by y-3 =12 divide by y+3 you can use this
Step-by-step explanation:
3÷y-3=12÷y+3
cross multiply
12(y-3)=3(y+3)............brackets off
12y-36=3y+9..............group the same
12y-3y=9+36
9y=45.......duved by 9 both sides
y=5
Answer and EXplanatrion please
Answer:
whats nine + 10
Step-by-step explanation:
21
pencil is .10
pen is .90
Step-by-step explanation:
x = pencil y = pen
3x + y = 1.20
7x + 2y = 2.50
try make x or y cancelable
-2 times (3x + y = 1.20) = -6x - 2y = - 2.40
7x + 2y = 2.50
-6x - 2y = - 2.40
x = .10
plug .10 back into one of the equations
3(.10) + y = 1.20
.30 + y = 1.20
y = .90
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'
What are the two points?
The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
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Solve for x. Write both solutions, separated by a
comma.
6x² + 5x - 6= 0
Answer:
[tex]x=\dfrac{2}{3},-\dfrac{3}{2}[/tex]
Step-by-step explanation:
Given equation:
[tex]6x^2+5x-6=0[/tex]
First, factor the left side of the given equation.
To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]\implies ac=6\cdot-6=-36[/tex]
[tex]\implies b=5[/tex]
So the two numbers are: 9 and -4
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 6x^2+9x-4x-6=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 3x(2x+3)-2(2x+3)=0[/tex]
Factor out the common term [tex](2x+3)[/tex]:
[tex]\implies (3x-2)(2x+3)=0[/tex]
To solve for x:
[tex]\begin{aligned}\implies (3x-2) & =0 & \implies (2x+3) & = 0\\3x & = 2 & 2x & = -3\\x & = \dfrac{2}{3} & x & = -\dfrac{3}{2}\end{aligned}[/tex]
Therefore:
[tex]x=\dfrac{2}{3},-\dfrac{3}{2}[/tex]
Write a story that could represent this math problem. 2/6 times 3/4
WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE HELP!!!!!
Answer:
1) Ans; C .
2) Ans; D.
3) Ans; A.
4) Ans; C.
solve 2(r+6) =(6+1/3r)
Answer:
r = - 18/5
I hope this helps! ^^
( This problem has 13 steps, so it would take a lot of time to type them in ^^)
Directions: Solve the following by multiplying by the inverse of the fractional coefficient. 1. \frac{2}{5} t = 20 2. \frac{7}{8} p = 56 3. \frac{5}{6} x = 30 4. \frac{1}{2} x = 20 5. \frac{3}{5} s = 60 6. \frac{1}{3} t = 3 7. \frac{3}{4} x = 9 8. \frac{11}{12} x = 11 9. \frac{8}{10} t = 80 10. \frac{p}{3} = 9 11. \frac{n}{5} = 30 12. \frac{6a}{7} = 36 13. \frac{1}{2} t + 3 = 28 14. \frac{1}{6} r = 12 15. \frac{11}{12} b = 32
The answer of the following options are as 50, 64, 36, 40, 100, 9, 12, 12 100, 27, 150 42, 50 72, 28.3.
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be
[tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
a parts out of b parts of a thing.
[tex]1. \dfrac{2}{5} t = 20\\\\t = 20 \times \dfrac{5}{2}\\\\t= 50[/tex]
[tex]2. \frac{7}{8} p = 56\\\\p = 56 \times \frac{8}{7} \\\\ p= 64[/tex]
[tex]3. \frac{5}{6} x = 30 \\\\x = 30 \times \frac{6}{5} = 36[/tex]
[tex]4. \frac{1}{2} x = 20\\\\x = 20 \times 2 = 40[/tex]
[tex]5. \frac{3}{5} s = 60\\\\s = 60 \times \frac{5}{3} = 100[/tex]
[tex]6. \frac{1}{3} t = 3 \\\\t = 3\times 3 = 9[/tex]
[tex]7. \frac{3}{4} x = 9\\\\x = 12[/tex]
[tex]8. \frac{11}{12} x = 11\\\\x = 11 \times 12/11 = 12[/tex]
[tex]9. \frac{8}{10} t = 80\\\\t = 80 \times 10/8 = 100[/tex]
[tex]10. \frac{p}{3} = 9 \\\\p = 9 \times 3 = 27[/tex]
[tex]11. \frac{n}{5} = 30\\\\n = 30 \times 5 = 150[/tex]
[tex]12. \frac{6a}{7} = 36 \\\\a = 36 \times 7/6 = 42[/tex]
[tex]13. \frac{1}{2} t + 3 = 28\\\\t = (28 - 3)2 = 50[/tex]
[tex]14. \frac{1}{6} r = 12\\\\r = 12\times 6 = 72[/tex]
[tex]15. \frac{11}{12} b = 32\\ \\b = 32 \times 11/12 = 29.33[/tex]
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HELP PLEASE! THIS IS DUE SOON! HELP ME! QUESTION BELOW!
Answer:
A) x = 113°
Explanation:
Given three sides: 6.4 cm, 5.8 cm, 10.2 cm
Use the cosine rule:
c² = a² + b² - 2ab cos(C)
Insert/put variables:
[tex]\rightarrow \sf 10.2^2 = 5.8^2 + 6.4^2 - 2(5.8)(6.4) cos(x)[/tex]
[tex]\rightarrow \sf -74.24 cos(x) = 10.2^2 - 5.8^2 - 6.4^2[/tex]
[tex]\sf \rightarrow -74.24 cos(x) = 29.44[/tex]
[tex]\rightarrow \sf cos(x) = \dfrac{29.44}{-74.24}[/tex]
[tex]\rightarrow \sf x = cos^{-1}(-\dfrac{23}{58})[/tex] = 113.36° ≈ 113° (rounded to nearest degree)
AD are tangent to OC. Find the value of x.
NEED HELP WITH THIS QUESTION QUICK!!!
Answer:
x=5
Step-by-step explanation:
The two lines are the same length
2x+7 = 5x-8
15 = 3x
x = 5
Write this number in standard notation.
Answer:
12345678910
Step-by-step explanation:
TANQR
The standard notation of 7,250,000 is [tex]7.25 \times 10^6[/tex]
The standard notation of 0.000045 is [tex]4.5 \times 10^{-5}[/tex]
What is scientific notation?It is the way of writing a large number between 1 to 10 with a power of 10.
We have,
7,250,000
To write this number in standard notation, we can use powers of 10.
We start by counting the number of digits to the left of the decimal point.
In this case, there are 7 digits to the left of the decimal point.
We can then express this number in scientific notation as:
[tex]7.25 \times 10^6[/tex]
This means that we have 7.25 times 10 raised to the power of 6.
Now,
0.000045
To write this number in standard notation, we can again use powers of 10. We start by counting the number of digits to the right of the decimal point. In this case, there are 5 digits to the right of the decimal point.
We can then express this number in scientific notation as:
[tex]4.5 \times 10^{-5}[/tex]
This means that we have 4.5 times 10 raised to the power of -5.
Thus,
The standard notation of 7,250,000 is [tex]7.25 \times 10^6[/tex]
The standard notation of 0.000045 is [tex]4.5 \times 10^{-5}[/tex]
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The complete question.
Write this number in standard notation.
7,250,000
0.000045
ILL GIVE BRAINLYEST TO RIGHT ANSWER! The graph of a line has a positive slope if if is:
A. increasing/going up
B. horizontal
C. decreasing/going down
D. vertical
Answer: The correct answer is A.
Step-by-step explanation: A line with a positive slope always increases and goes up.
Which graph represents the following system of inequalities?
y>2x-5
y<-3x
give an answer with graph
The graph of the two given system of inequalities y > 2x - 5
y < -3x is; Attached below
How to graph Inequalities?We are given two inequalities;
y > 2x - 5
y < -3x
The graph that represents the 2 inequalities has been attached and from the graph, we see that;
The slope of the dotted line is negativeThe x- intercept of the dotted line is the point (0,0)The y- intercept of the dotted line is the point (0,0)The solution of the system of inequalities is the shaded pink area between the two dotted lines.
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Write the solution to -9×+4<40??
Answer:
Simplifying
-9 + 4 = 40
Combine like terms: -9 + 4 = -5
-5 = 40
Solving
-5 = 40
Couldn't find a variable to solve for.
This equation is a the left and right sides are not equal, therefore there is no solution.
Hope This Helped
A sample of 4 different calculators is randomly selected from a group
containing 46 that are defective and 26 that have no defects. What is the
probability that all four of the calculators selected are defective? Round to four
decimal places.
A) 0.1021 B) 0.1586 C) 0.1666 D) 10.9154
[tex]\displaystyle\\|\Omega|=\binom{72}{4}=\dfrac{72!}{4!68!}=\dfrac{69\cdot70\cdot71\cdot72}{2\cdot3\cdot4}=1028790\\|A|=\binom{46}{4}=\dfrac{46!}{4!42!}=\dfrac{43\cdot44\cdot45\cdot46}{2\cdot3\cdot4}=163185\\\\P(A)=\dfrac{163185}{1028790}=\dfrac{473}{2982}\approx0.1586[/tex]
Can someone help it’s a little confusing
Orange traffic cones comes in a variety of sizes. Approximate the volume, in cubic inches, of a traffic cone
that has a height of 2 feet and a diameter of 16 inches. Round your answer to the nearest tenth. Use 3.14
for a.
Answer:
V = 1607.7 in^3
V = 0.94 ft^3
Step-by-step explanation:
To find the volume of a traffic cone, use the formula for the volume of a cone: (1/3)*π*h*r^2
h = height
r = radius of cone
Step 1: determine variables and units
2 feet = 24 inches
diameter = 2 * radius
radius = (1/2) * diameter = (1/2)*16 in = 8 inches
Step 2: determine volume
V = (1/3)*π*h*r^2
V = (1/3)*3.14*24*(8)^2
V = 1607.7 in^3
Optional step 3: determine volume in ft^3
h = 2 ft
r = 0.67 ft
V = (1/3)*π*h*r^2 = (1/3)*3.14*2*(0.67)^2
V = 0.94 ft^3
The diameter of a circle is 5 meters. What is the circumference?
Answer:
15.71 m
Step-by-step explanation:
C = πd
d= diameter
C = π (3.14) * 5
= about 15.71 m
A. 15.71 m
Answer:[tex]5\pi[/tex]
Step-by-step explanation:The circumference is pi times the diameter. If you want a proof you can find it online with a quick search. This applied here means that since the diameter is 5, the circumference is 5*pi or rather 5pi.
X^2-4x+6=0 solve by completing square
Complete the square:
x² - 4x + 6 = 0
x² - 4x = -6
x² - 4x + 4 = -6 + 4
(x - 2)² = -2
But the left side is positive for any real number x, so there are no real solutions.
If you're solving over the complex numbers, we can go on to say
x - 2 = ± √(-2)
x - 2 = ± 2i
x = 2 ± 2i
where i = √(-1).
Simplyfy 56 64 I want to simplify
Answer:
56/64 simplified is 0.875 or 7/8 as a fraction
One block is needed to make an up-down-up staircase with one step up and one step down.
Four blocks are need to build and up-down-up staircase with 2 steps up and 2 steps down.
Complete parts (a) and (b) below.
***
a. How many blocks are needed to build an up-down-up staircase with 5 steps up and 5 steps down?
25 blocks are needed to build an up-down-up staircase with 5 steps up and 5 steps down.
(Type a whole number.)
b. How many blocks are needed to build an up-down-up staircase with n steps up and n steps down?
blocks are needed to build an up-down-up staircase with n steps up and n steps down.
Answer:
n² blocks are needed to build a staircase with n steps.
Step-by-step explanation:
G(F(x)) = 7√√x+1
A. F(x)=√x and G(x) = 7
B. F(x)= x and G(x) = √√7
C. F(x) = 7x and G(x)=√x+1
D. F(x)=√x+1 and G(x) = 7x
Answer:
D)
Step-by-step explanation:
[tex]\sf f(x) = \sqrt{x+1}\\\\\\g(x) = 7x\\\\ g(f(x)) = g(\sqrt{x+1}) = 7*\sqrt{x+1}[/tex]
What is the volume, in cubic meters, if the prism below?
=================================================================
Explanation:
Imagine rotating the figure so that the triangular face is flat on the ground. This makes the triangular faces to be the floor and ceiling of this room.
The floor is a triangle with base 24 meters and height 7 meters. The floor area is base*height/2 = 24*7/2 = 84 square meters.
Multiply this floor area with the height of the room (22 m) to get the volume of the room.
volume = (floor area)*(height) = 84*22 = 1848 cubic meters
12.simplify the following expression
21q + 5/2(3/2) + 4q -5
Answer:
i think the answer is 25q - 5 / 4
Help me out, please!
Answer:
a = 63
b = 117
c = 63
Step-by-step explanation:
The sum of interior angles in a triangle is = 180
so the measure of a:
85 + 32 + a = 180 add like terms
117 + a = 180 subtract 117 from both sides
a = 63
a and be are supplementary angles so their sum is equal to 180
180 - 63 = 117 is the b's value
since a and c are on a pair of parallel lines, their value must be equal therefore the value of c is also 63
what is the mean of 7,5,6,5,4,4,,8,6,6,7,4,5,5,6,6
Answer:
5.6 is the mean
Step-by-step explanation:
add up everything and then divide it over how many numbers are in the set to find the mean.
give brainliest, please!
hope this helps :)
The methods of solving quadratic equations
There are three main ways of solving quadratic equations. The quadratic formula, factoring, and completing the square.
[1] using the quadratic formula
When the equation is in the form of ax² + bx + c = 0.
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
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[2] factoring
Read more about how to solve with factoring here:
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[3] completing the square
To start out with completing the square, make sure your constant is isolated on one side. The equation will be as ax² + bx = -c
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If f(x) = 2x² +2 and g(x)=x²-1, find (f- g)(x).