The solution set for this inequality is {x | x > 2}
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the inequality:
2x - 3 > 11 - 5x
We can start by simplifying the expression on both sides:
2x - 3 > 11 - 5x
Adding 5x to both sides
7x - 3 > 11
Adding 3 to both sides
7x > 14
Dividing both sides by 7
x > 2
This means that any value of x greater than 2 will make the inequality true.
Thus,
The solution set for this inequality is {x | x > 2}
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What percent of 150 is 900
Answer:
600 %
Step-by-step explanation:
x · 150 ÷ 100 = 900
150x = 90000
x = 600
For the given functions f and g find the indicated composition. f(x) = -2x + 2, g(x) = 3x + 2 A. - 6x - 4.B. - 6x + 8.C. 6x + 8.D. - 6x + 6.Find the Inverse of the one-to-one function. f(x) = 4x + 8
Answer:
i'm not sure if it is right
Step-by-step explanation:
1, B
g(f(x)) --> g(-2x+2)=3x+2
g(-2x+2)=3.(-2x+2)+2=-6x+6+2=-6x+8
2,
#1: Write as a linear equation
y=4x+8
#2: Swap x and y variables
x=4y+8
#3: Solve for y
4y+8=x
4y=x-8
y=[tex]\frac{x-8}{4}[/tex]
#4: Write in inverse notation:
[tex]f^{-1}[/tex](x)=[tex]\frac{x-8}{4}[/tex]= (x/4) - 2
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.
Point (9,−11); Slope=−8
Answer:
Step-by-step explanation:
y + 11 = -8(x - 9)
y + 11 = -8x + 72
y = -8x + 61
The equation of the line in slope-intercept form having the given point and slope is: y = -8x + 61.
How to Find the Equation of a Line in Slope-intercept Form?Slope-intercept formis expressed as y = mx + b.
Given the following:
A point = (9, -11) = (a, b)
Slope = -8 = m
Substitute m = -8 and (a, b) = (9, - 11) into y - b = m(x - a)
y - (-11) = -8(x - 9)
Rewrite in slope-intercept form
y + 11 = -8x + 72
y = -8x + 72 - 11
y = -8x + 61
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How can you tell that 7. 630 and 7. 63 are equivalent decimals?
because if you add a zero onto something after the decimal point it doesn't increase or decrease the value of the number.
7.630 is literally just 7.63.
but if it was 76.3 and 760.3 it would be different.
A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: ; directrix: y = focus: (8,0); directrix: x = –8 focus: ; directrix: x =
Answer:
the coordinate of the focus is: (0, 1/2)
the equation of the directrix is: y=-1/2
Step-by-step explanation: The standard equation for a parabola that opens upward- parallel to the y-axis, is: x2=4ay. Meaning, a = distance from the vertex to focus and the vertex is at origin: (0,0).
4a is equal to 2
a is equal to 2/4
a is equal to 1/2 or 0.5
The parabola has
focus: (0,1/2)
directix: y=-1/2
What is the formula for focus and directrix of a parabola?If the parabola is given by
y=a(x-h)²+k
then the focus of the parabola is given by
(h,k+1/4a)
and the directrix of the parabola is given by
y=k-a
How to solve the problem?Given parabola is x²=2y
So, the parabola is y=(1/2)x², when compared with y=a(x-h)²+k we have
a=1/2, h=0 and k=0
So, the focus of the parabola is
[tex](0,\frac{1}{4\frac{1}{2}})= (0,\frac{1}{2})[/tex]
and, the directrix of the parabola is
y= -1/2.
Hence, the parabola has
focus: (0,1/2)
directix: y=-1/2
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An apartment building has 11 floors in it. Each floor has 9 rooms on it. If each room has two people living there, how many people live in this apartment building?**
Answer: 198 total people
Step-by-step explanation:
so there are 11 floors and each obtain 9 rooms so if there are two people in each of the 9 rooms there will 18 total people in one floor and since there are 11 floors multiply it by 18 to find out how many people live in the apartment.
11 * 18 = 198
Decide whether the set S = {−1, 0 ,1} is closed under each of the following operations. Be sure to justify
each of your conclusions.
1. Multiplication
2. Addition
3. Subtraction
4. Division
5. Squaring
6. Square rooting
7. Averaging 2 numbers
8. Averaging 3 numbers
Answer:
Explained below
Step-by-step explanation:
Sol: 1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, -1 x 0 = 0 Є S and -1 x 1 = -1 Є S, Hence the set S is closed under multiplication.
2. Addition
When we add two sets S elements, the answer should also belong to the set S, for example, 1 + 0 = 1 Є S but 1 + 1 = 2, which does not belong to set S; hence S is not closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set S.
4. Division
The set S is not a closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring if we square an element of the set S, and the result also belongs to the set S, for example, (0)2 = 0 and (-1)2 = 1, which belongs to the set S. Hence set S is closed under squaring.
6. Square rooting
The set S is not closed under square rooting because when we take the square root of an element of set S, the answer does not belong to the set S. √-1 = undefined.
7. Averaging two numbers
Averaging two numbers mean the sum of two numbers of set S is divided by two. For example, 1 + 0/2 = 1/2, which is not belongs to set S. hence set is not closed under averaging two numbers.
8. Averaging three numbers
The sum of three numbers of set S is divided by 3; the answer should belong to the set S.
-1 + 0 + 1 / 3= 0, 0 belongs to set. Hence the set S is closed under averaging three numbers.
Answer is explained below. We can say that Subtraction is not closed under the set.
Given set S = {−1, 0 ,1} we have to check the given set is closed or not.
1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, [tex]-1\times 0=0[/tex], 0 Є S and [tex]-1\times 1 = -1[/tex] , -1 Є S, so the set S is closed under multiplication.
2. Addition
On adding the any two values of the set, the result belong to the set itself, for ex if we add [tex]-1+0=-1\\[/tex] Є S but 1. so we can say that the given set is closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set element S.
4. Division
The set S is not belongs to closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring,since we square an element of the set S, and the result also belongs to the set S. for example, [tex]0^{2} =0[/tex] and[tex]-1^{2} =1[/tex] which belongs to the set S. Hence set S is closed.
Hence We can say that Subtraction is not closed under the set.
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A factory makes toy cars. For the past 6 days, the factory-made 7,737 toy cars each day. How many toy cars did the factory make? PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN
If a factory made 7,737 toy cars each day for 6 days, to find the total number of cars, we can add 7,737 to itself 6 times or just multiply by 6.
[tex]7737*6=46422[/tex]
The factory made 46422 toys in the last 6 days.
Hope this helps.
頑張って!
Find height when diameter is 1.4m and its hold 770l water
≈ 0,5 m
≈ 50 cm
Step-by-step explanation:d = 2r => r = d/2 = 1,4m/2 = 0,7 m
V = πr²·h => h = V/πr²
770 l = 0,77 m³
h = 0,77m³/3.14×0,49m²
= 0,77m³/1,5386m²
= 0,5004 m
≈ 0,5 m
≈ 50 cm
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
Answer:
well the length on both increases by x3 and the height increases by 2
Step-by-step explanation:
What is the image of (-5, -8) after a reflection over the y-axis?
Answer:
[tex](5,-8)[/tex]
Step-by-step explanation:
The rule for a reflection over the y-axis is
[tex](x,y) -> (-x,y)[/tex]
In this situation, we have to change the sign of x.
[tex](-5,-8) -> (5,-8)[/tex]
2 ( x - 6 ) = 3 ( x + 9 )
Steps to solve:
2(x - 6) = 3(x + 9)
~Distribute both sides
2x - 12 = 3x + 27
~Add 12 to both sides
2x = 3x + 39
~Subtract 3x to both sides
-x = 39
~Divide both sides by -1
x = -39
Best of Luck!
Answer:
2×-12=3×+27
2×-3×=27+12
-×=39
Step-by-step explanation:
Grouping like terms
then simplify to get x
PLEASE HELP QUICK what algebraic expression represents GK
Answer:
answer is 6x+4
mark it as branliest.
Answer:
GK = 6x + 4
Step-by-step explanation:
3x + 5 - x + 4x - 1 - x + x
3x -x + 4x - x + x + 5 -1
6x + 4
You want to share 1000 dollars between you and 5 friends,
Can you share the money evenly
What is the maximum amount that can be shared evenly
What is then the leftover as a fraction
Answer:
the answer is 200
Step-by-step explanation:it's because
you have to divide 1000 in to 5 and 1000 divided by 5 is 200
Rewrite as a logarithmic equation.
*=8
Answer:
yes in the steps
Step-by-step explanation:
conclusive
Business: Discount Pricing A store sells refurbished
iPhones that cost 12% less than the original price. If the new price of a refurbished iPhone is $572, what was the original price? How much is saved by purchasing the refurbished
The original price of the iPhone will be $650 thus the buyer saved $78 by buying the refurbished mobile.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's say the original price of the mobile is x.
12% of x is 0.12x
The cost of refurbished mobile will be as x - 0.12x = 0.88x
0.88x = 572
x = $650
The amount saved = $650 - $572 = $78
Hence "The original price of the iPhone will be $650 thus the buyer saved $78 by buying the refurbished mobile".
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Write an equation of the line passing through the points (3,7) and (-1,-13)
Answer:
Step-by-step explanation:
(-13 - 7)/(-1 + 3) = -20/2 = -10
y - 7 = -10(x - 3)
y - 7 = -10x + 30
y = - 10x + 37
Find x and round to the nearest tenth
Answer:
The answer is
x = 38.7°Step-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we use tan
[tex] \tan(\theta) = \frac{opposite}{adjacent} [/tex]
From the question
the opposite is 12
the adjacent is 15
We have
[tex] \tan(x) = \frac{12}{15} \\ x = \tan^{ - 1} ( \frac{12}{15} ) \\ x = 38.659808[/tex]
We have the final answer as
x = 38.7°Hope this helps you
42 is 64% of what number
Answer:
the answer is 65.625, 42 is 64% of 65.625
Suppose R is the solid bounded by the plane z=5x, the surface z=x2, and the planes y=0 and y=3. Write an iterated integral in the form below to find the volume of the solid R.
I have attached the complete question.
Answer:
See 2nd attachment
Step-by-step explanation:
We are told that R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y = 3.
Thus, the region in the xz plane would be defined as;
0 ≤ x ≤ 3 and x² ≤ z ≤ 5x
For the iterated integral for the volume of the solid R, see 2nd attachment.
Define intersecting lines
Answer:
lines that meet at a point
A train leaves Philadelphia at 3:00 PM. A second train leaves the same city in the same direction at 9:00 PM. The second train travels 120mph faster than the first. If the second train overtakes the first at 11:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
2nd train DATA:
time = 2 hrs ; rate = x + 120 mph ; distance = 2(x+120) = 2x+240 miles
------
1st train DATA:
time = 8 hrs ; rate ; x mph ; distance = 8x miles
------------------
Equation:
distance = distance
8x = 2x+240
6x = 240
x = 40 mph (speed of the 1st train)
x+120 = 160 mph (speed of the 2nd train)
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What is the area of the soccer field in square feet if A soccer field is a rectangle 150 feet wide and 350 feet long.
Answer:
52,500 sq feet
Step-by-step explanation:
150 x 350 = 52,500 sq feet
To find the area, you do width x length.
Hope this helps!!
what is the answer to 1.58x1.78=
what is the distance between -7 and -3 1/2
Answer:
3.5 units
Step-by-step explanation:
I'm big brain
Find the distance between points P and Q.
Answer:
4;3 might be the answer
Find the nth term of this quadratic sequence 7,16,25,34,43
Answer:
52
Step-by-step explanation:
everytime it adds by 9:
7+9=16
16+9=25
25+9=34
34+9=43
43+9=52
Evaluate the given expression if x= -3 and y=6.
x+3y / 6+3y
Answer:
5/8
Step-by-step explanation:
The given expression is [tex]\dfrac{x+3y}{6+3y}[/tex]
We need to find of above expression when x = -3 and y = 6
Put x = -3 and y = 6 in given expression such that,
[tex]\dfrac{x+3y}{6+3y}=\dfrac{(-3)+3(6)}{6+3(6)}\\\\=\dfrac{-3+18}{6+18}\\\\=\dfrac{15}{24}\\\\=\dfrac{5}{8}[/tex]
So, the value of given expression is 5/8.
(3 + 5i) + (11 -7i) Write answer in standard form a +bi
Answer:
14-2i
Step-by-step explanation:
[tex]\left(3+5i\right)+\left(11-7i\right)\\\\Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3+11\right)+\left(5-7\right)i\\3+11=14\\5-7=-2\\\\=14-2i[/tex]
Simplify the expression: 42x3y6 6xy6 A) 7x2y12 B) 7x2y C) 36x2y12 D) 7x2
Answer:
D
Step-by-step explanation:
So first you simplify
Step 1: (2•3•7x3y6) (2•3xy6)
Step 2: you divide x3 by x1 = x (3-1) = x2
step 3: You cancel out y6 as it appears on both sides of the fraction line.
step 4: cancel out 2 as it appears on both sides.
step 5: cancel out 3 as it appears on both sides.
step 6: final result 7x2