The given function g(x) is positive for all real values of x, and increasing for the interval (-3,∞) , decreasing for the interval (-∞,-3) and
the end behavior is that g(x) → ∞ as x → -∞ an g(x) → ∞ as x → ∞ .
In the question ,
the graph of the function g(x) is shown ,
we see that ,No part of the graph of function g(x) is below the x axis ,
So, the negative of the function g(x) does not exist .
Also from the graph we can see that the graph is above the x axis for all values of x,
So , the function g(x) is positive for all real values of x .
the graph shows that the function is decreasing for x<-3 means
function g(x) is decreasing in the interval (-∞,-3) .
the graph shows that the function is increasing for x>-3 means
function g(x) is increasing in the interval (-3,∞) .
From the graph ,
the end behavior of the function g(x) is that g(x) → ∞ as x → -∞ and g(x) → ∞ as x → ∞
Therefore , the given function g(x) is positive for all real values , and increasing for the interval (-3,∞) , decreasing for the interval (-∞,-3) and
the end behavior is that g(x) → ∞ as x → -∞ and g(x) → ∞ as x → ∞ .
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a) Work out
Give
(5 x 10^3) * (9 x 10^7)
your answer in standard form.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(5\times10^3) \times (9\times10^7)}[/tex]
[tex]\mathsf{= (5\times 10\times 10\times 10)\times (9\times 10\times10\times10\times 10\times10\times10\times 10)}[/tex]
[tex]\mathsf{= (5\times 100\times 10) \times (9\times 100\times 100\times 100 \times 10)}[/tex][tex]\mathsf{= (5\times 1,000) \times {(9\times 10,000\times 1,000)}}[/tex]
[tex]\mathsf{= (5,000)\times(90,000\times1,000)}[/tex]
[tex]\mathsf{= (5,000)\times (90,000,000)}}[/tex]
[tex]\mathsf{= 5,000\times 90,000,000}}[/tex]
[tex]\mathsf{= 450,000,000,000}[/tex]
[tex]\mathsf{= 4.5\times10^{11}}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{4.5\times 10^{11}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The equation 3(2x + 2) = 3x − 15 models the change in water level in a lake in one month. Solve for x, which is change in height in inches.
x = −7
x equals negative seventeen thirds
x = 3
x = 7
Answer:
x = -7
Step-by-step explanation:
Answer:
x=-7
Step-by-step explanation:
Determine whether the relation is a function (explanation please)
A function is defined as a relation where each input value is paired with exactly one output value. The input -1 has 2 outputs, thus the relation is not a function.
Elijah buys 112 words of exterior equipment from thestereo store there is a 2.5% processing fee for using a credit card what is the total cost of the stereo quitman
Given,
Elijah buys $112 worth of exterior equipment from the stereo store.
Processing fee for using the credit card = 2.5%
Therefore,
Total cost of the exterior equipment
= Worth price + procession fee
= 112 + 2.5% of 112
= 112 + 2.8
= 114.8
Hence, the total cost would be $114.8
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Solve the following system of equations.
-8x -9y = 10
4x -5y = 14
(See picture attached)
Answer:
x=10 and y=-10
Step-by-step explanation:
-8x-9y=10
4x-5y=14
put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.
-5(-8x-9y=10)
-9(4x-5y=14)
the subtract the first equation from the second equation after multiplying.
40x+45y=-50
-
-36x+45y=-90
4x=40
x=10
Now get any equation from the two equations and find the value of y.
-8x-9y=10
-8*10-9y=10
-9y=10+80
-9y=90
y= -10
10(-8-2c) simplify expressions
The function $d(t)=300,000t$ represents the distance (in kilometers) that light travels in $t$ seconds.
a. How far does light travel in 15 seconds?
kilometers
b. How long does it take light to travel from the Sun to Earth?
Between
seconds and
seconds.
The distance of the light travels in 15 seconds is 4500000 kilometers.
How to illustrate the information?It should be noted that a function is simply used to illustrate the relationship between the variables that are given.
In this case, the function is given as d(t) = 300000t. Therefore, it should be noted that the distance of the light travels in 15 seconds will be:
d(t) = 300000t
where t = 15
d(t) = 300,000 × 15
distance = 4,500,000 kilometers
The distance is 4500000 kilometers.
Note that the second question wasn't written properly and hence can't be solved.
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Find the number that makes the ratio equivalent to 4:5. 28:_
Answer:
7
Step-by-step explanation:4*7=28
Therefore 5*7=35
28:35= 4:5
Please help me in your own words I only have 30 minutes
1) given
2) corresponding angle theorem
3) vertical angle theorem
4) transitive
Solve this equation -4(X-26)=-200
Answer:
x = 76
Step-by-step explanation:
First, distribute -4:
-4x + 104 = -200
Isolate x:
-4x = -200 - 104 = -304
x = -304/-4 = 76
Darrel divided 575 by 14 by using partial quotients. What is the quotient? Explain your answer using numbers and words.
Answer: 41 1/14
Step-by-step explanation:
41R1 ==> 41 1/14
14|575
-56
____
15
-14
__
1
can someone help me with this
Answer:
if im not mistaken its $11
Step-by-step explanation: dint know how to explain but i think its correct
Solve the following system of equations
2x -9y = -1
-4x -3y = -19
(See picture attached)
Solution :-
2x - 9y = -1
2x = 9y - 1
x = 9y - 1 / 2 _________ (1)
Now, substitute it here!
-4x - 3y = - 19
-4 (9y - 1 /2) - 3y = -19
(-36y + 4 - 6y / 2) = -19
(-42y + 4 / 2) = -19
-42y + 4 = -38
-42y = -38 - 4
-42y = -42
y = 1
Value of x :
Substituting the value of y that is 1 in this equation. x = 9y - 1 / 2
x = 9(1) - 1 / 2
x = 9 - 1 / 2
x = 8 / 2
x = 4
Can someone please help me with this problem?
Find perimeter PERMITER NOT AREA
Answer:
perimeter = 38 units.
Step-by-step explanation:
30 + 7.85
= 37.85
≈ 38 units
Answer:
37.85 (Assuming you are supposed to estimate pi)
Step-by-step explanation:
First, add the easy stuff:
10+10+5+5=30
Then, find the circumference of the circle:
c = 2 π r
c = 2(5)π
c = 10π
Divide by 4:
10π/4 ≅ 7.85
7.85 + 30 = 37.85
w = 2x squared + 1
workout the value of w when x = -3
Answer:
-35
Step-by-step explanation:
w = 2x^2 + 1
= (2 x -3)^2 +1
= -6^2 + 1
=-36 + 1
= -35
which critical value is appropriate for a 99% confidence level where n17, is unknown, and the population appears to be normally distributed? question content area bottom part 1 a. 2.567 b. 2.921 c. 2.898 d. 2.583
The critical value that is appropriate for a 99% confidence level where n17, is unknown, and the population appears to be normally distributed is 2.921 (Option B).
What is the Critical Value in statistics?A Critical value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.
How did we arrive at the above conclusion?
We are given:
n=17, where n is the size of the set
df = n-1; (df means degree of freedom)
= 17-1
df = 16, at 99% confidence level.
Here we apply the t-test because the data is normally distributed.
∝ = 1-99% [Shere ∝ is the significance level)
= 0.01
∝/2 = 0.01/2
= 0.005
hence,
[tex]t_{\alpha /2} ,df[/tex] = [tex]t_{0.005}[/tex], 16 = 2.921. this is derived using the T-Table.
The above leads us to conclude therefore that Option B is correct.
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Factor completely.
25 - 9x²
IF YOU CHECK YOU WILL FIND THAT THIS IS A DIFFERENCE OF TWO SQUARES
[tex] = (5 - 3x)(5 + 3x)[/tex]
ATTACHED IS THE SOLUTION
given a function f (x), what transformation(s) take place in the graph of -f (x + 4)?
Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.
What is the transformation of the function?We are told that a function f(x) undergoes transformation to get -f(x + 4).
Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.
Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.
Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.
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The sum of a number and its half is thirty. Find the number
Answer:
20
Step-by-step explanation:
The sum of a number and its half is thirty. Find the number:
the formula would be:
1.5x = 30
divide both sides by 1.5:
1.5x/1.5 = 30/1.5
x = 20
check:
20 = 20
1/2 of 20 = 10
20 + 10 = 30
Answer:
x+0.5x=30
1.5x=30
x=20
If a store advertised a sale that gave customers a 1/4 off the original price of $825.00 he also wanted to use a coupon for 1/5?of the sales price . How much did he pay ?
If a store advertised a sale that gave customers a 1/4 off the original price of $825.00 he also wanted to use a coupon for 1/5 off the sale price, then he paid $453.75
The original price of the item = $825
The off offered by the store = 1/4
The off offered by the coupon = 1/5
Total off = 1/4 + 1/5
= 9/20
Then the selling price = The original price of the item - The original price of the item× (9/20)
= 825 - 825×9/20
= 825-371.25
= $453.75
Hence, if a store advertised a sale that gave customers a 1/4 off the original price of $825.00 he also wanted to use a coupon for 1/5 off the sale price, then he paid $453.75
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4x+3y
Please help me or im going to have a F all year
The values of x and y in the system of equations are x = 1 and y = 2
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
4x + 3y = 10
y - x = 1
Make y the subject in the second equation, by adding x to both sides of the equation
y - x + x = x + 1
This gives
y = x + 1
Substitute y = x + 1 in 4x + 3y = 10
4x + 3(x + 1) = 10
4x + 3x + 3 = 10
Evaluate the like terms
7x = 7
This gives
x = 1
Substitute x = 1 in y = x + 1
y = 1 + 1
Evaluate
y = 2
Hence, the solution for the system of linear equations 4x + 3y = 10 and y - x = 1 are x = 1 and y = 2
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Possible question
Solve for x and y in the following system of equations
y - x = 1
4x + 3y = 10
Use the number line to add the fractions.
Drag and drop the answer into the box to match the sum.
The value gotten when -1/2 is added to 2/3 is 1/6.
What is the sum of the fractions?Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.
[tex]-\frac{1}{2} + \frac{2}{3}[/tex]
[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]
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Show the relationship between -5/6 and -7/10. Use an inequality symbol.
[number] / [number] < Fraction btw not division
The relationship between -5/6 and -7/10 is -5/6< -7/10.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.
It is given that,
Fraction 1,
-5/6 = -0.83
Fraction 2,
-7/10 = -0.7
As we know the value of -0.7 is greater than -0.83.
As a result, the relationship is -5/6< -7/10.
Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.
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I need help on my homework it's hard
Answer:
3913
Step-by-step explanation:
Step:1 setup
set up your multiplication problem like this
91
43
X_______
Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:
0
91
43
x_______
3
Step 3:Multiply
3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:
91
43
X
----------
273
step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:
91
43
X
_______
273
+ 0
Step 5: Multiply
4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:
0
91
43
x
________
273
+ 40
Step 6:Multiply
4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:
91
43
x
__________
273
+ 3640
Step 7: Add to get answer
Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:
91
x 43
_________
273
+ 3640
____________
= 3913
YOU GET 50 POINTS ANMD BRAINLEST IF YOU ANSWER THIS CORRECTLY
help i don’t get it
answers pls
The value of x in the given right-angled triangle is 13.
What is the value of x?A triangle is a polygon with three sides and three vertices. The sum of angles in a triangle is 180 degrees. A right triangle is a triangle in which one of its angles measure 90 degrees. The longest side of a right triangle is known as the hypotenuse.
180 = 39 + (3x + 12) + 90
Combine similar terms: 180 - 39 - 12 - 90 = 3x
Add similar terms together: 39 = 3x
Divide both sides of the equation by 3: x = 39/3
x = 13°
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100 points plus brainiest
The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.
x g(x)
1 81
2 83
3 85
Part A: Determine the test average for your math class after completing test 2. (2 points)
Part B: Determine the test average for your science class after completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)
after using each and every details of science class and maths class given in the question
solution of
part a - f(2) = 81
part b - g(2) = 83
part c - Test average for maths class after test 2 is greater
WHAT ARE FUNCTIONS ?Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.
CALCULATIONf(x) = 0.5x + 80
solving (A) f(2) = 0.5 * 2 + 80
= 1 + 80
= 81
solving (B) : g(2) =83 when x= 2
so :
g(2) = 83
solving (C) : which is greater f(2) or g(2)
in (a) and (b)
f(2) = 81
g(2) = 83
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Answer:
part a - f(2) = 81
part b - g(2) = 83
part c - average for maths class after test 2 is greater
Step-by-step explanation:
Got it right
what are the zeros in the problem y = 2(x+3)(x+3)-1
The zeros in the equation y = 2(x+3)(x+3)-1
[tex]x=-\frac{6-\sqrt{2}}{2},-\frac{6+\sqrt{2}}{2}[/tex]
This is further explained below.
What are the zeros in the problem?2(x+3)(x+3)-1
Set 2(x+3)(x+3)-1 equal to 0 .
2(x+3)(x+3)-1=0
Solve for x.
Simplify [tex]2(x+3)(x+3)-1[/tex]
[tex]$2 x^2+12 x+17=0$[/tex]
Use the quadratic formula to find the solutions.
[tex]\frac{-b \pm \sqrt{b^2-4(a c)}}{2 a}[/tex]
Substitute the values a=2, b=12, and c=17 into the quadratic formula and solve for x.
[tex]\frac{-12 \pm \sqrt{12^2-4 \cdot(2 \cdot 17)}}{2 \cdot 2}[/tex]
Simplify.
[tex]x=\frac{-6 \pm \sqrt{2}}{2}[/tex]
In conclusion, The final answer is the combination of both solutions.
[tex]x=-\frac{6-\sqrt{2}}{2},-\frac{6+\sqrt{2}}{2}[/tex]
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Your original grades on your exams were: 75, 85, 90, 90,
100, 75, 80, 100, 90.
You retake the exams and now your scores are:
85, 85, 100, 90, 100, 85, 80, 100, 90.
By how many percentage points did you improve
your average score?
Hint: Find the mean of both sets of data. Then
find the difference between the two. Round to
the nearest %.
His grades improved by 2.2 %
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given: Original grades = 75, 85, 90, 90,
100, 75, 80, 100, 90.
And grades after the retake = 85, 85, 100, 90, 100, 85, 80, 100, 90.
So the sum of the original scores = 785.
Thus the percentage can be calculated by 785/ total marks
= 785/ 900 × 100 = 87.2 %
And the sum of the grades after retake= 805
Thus the percentage will become = 805/900 × 100 = 89.4 %
The mean of the first set is 87 and the mean of the second set is 89.
Thus the difference between the two is 2.
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