Answers
the complete table is:
zeros: x = -2, x = 0, x = 2.
Increasing: (-∞, -1.25) and (1.25, ∞)
Decreasing: (-1.25, 1.25)
End Behavior: as x →∞, y →∞
as x → -∞, y→ -∞
How to find the zeros?Let's solve for the first function.
First, we want to find the zeros of the function. The zeros are the values of x such that the function becomes zero (intercepts the horizontal axis)
So we can see that the zeros are:
x = -2, x = 0, x = 2.
Now we want to see when the function is increasing. The function is increasing when it goes (reading from left to right) the function goes upwards.
The function is increasing on the intervals:
(-∞, -1.25) and (1.25, ∞)
And the function is decreasing between these two intervals:
(-1.25, 1.25)
Now we need to look at the end behavior.
When x tends to infinity, (right side) we can see that the function goes upwards, then:
as x →∞, y →∞
In the left side the function goes downwards, so:
as x → -∞, y→ -∞
Then the complete table is:
zeros: x = -2, x = 0, x = 2.
Increasing: (-∞, -1.25) and (1.25, ∞)
Decreasing: (-1.25, 1.25)
End Behavior: as x →∞, y →∞
as x → -∞, y→ -∞
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Related Questions
The perimeter of a rectangle is 108 meters. Find the length and width if the length is an integer and the width is 4 times the next consecutive integer.
Answers
The length of the rectangle is 45 yard and the width of the rectangle is 9 yard.
What is the perimeter of a rectangle?WE have Given that the length of a rectangle is 5 times its width, and the perimeter is 108 yd.
Let the width of rectangle be 'x' yard and the length of the rectangle is '5x' yd . also the length is five times the width.
we know that,
The Perimeter of the rectangle = 2(length + width)
The perimeter of rectangle is 108 yd.
Therefore the perimeter = 2( 5x + x )
108 = 2( 6x )
108 = 12x
108/12 = x
x = 9
Therefore, the width of given rectangle is 9 yard, and
The length of the rectangle is 5x = 5 * 9 = 45 yd.
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What are the real roots of √-16? Explain.
Answers
There is no Real number whose square is −16.
If
a∈R then a2≥0. So there is no real square root of −16
If i is the imaginary unit, then i
i^2=-1
and we find that:
(4i)2=2⋅i2=16⋅−1=-16
So 4i is a square root of −16.
(−4i)2=(−4)2i2=16⋅−1=−16
So, −4i is a square root of −16√−16=i√16=4i
There is no Real number whose square is −16.
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Which point is on the interior of angle CAB?
Answers
The point that is on the interior of angle CAB is Point E.
Which point is in the interior?A point that is in the interior of an angle or shape is on that is not on the angle, line or shape, and is instead within the shape itself.
Points A, B, and C are all on the line and so are not interior. Point B is outside the shape formed and so is not in the interior.
Point E is not on the line and it is inside the shape formed so it is in the interior.
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Question 16
Read the question and type your response in
the box provided. Your response will be saved
automatically.
Given E(2, -1) and F(6, 0), find M the midpoint of line
segment EF.
Answers
The midpoint is located at (4,-0.5)
In the problem we are given that
E is located at (2,-1)
F is located at (6,0)
To find the midpoint, add the 2 X values together and divide by two, then do the same with the y values:
X = (2 + 6) /2= 8/2 = 4
Y = (-1+ 0)/2 = -1/2 = -0.5
The midpoint is located at (4,-0.5)
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Convert 32 yards to inches
Answers
Answer:
1152
Step-by-step explanation:
32 * 36 lol
every yard is 36 inches
PLEASE HELP I AM DESPERATE I WILL GIVE BRAINLIEST!!!!
Answers
There will be more than a percentage of 33 % of households that have an interfaith marriage from 2017 onwards.
How to analyze and interpret linear equations
In this problem we find a linear equation that models the percentage of households with an interfaith marriage in time. The expression indicates that the percentage increases uniformly in time. Herein we must look up for the year, from which the percentage is at least 33 % greater. Then:
I = (1 / 4) · x + 23
(1 + 33 / 100) · 23 = (1 / 4) · x + 23
30.59 = (1 / 4) · x + 23
(1 / 4) · x = 7.59
x = 30.36
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!SUPER EASY!
btw the options are the same for the second box
Answers
Answer:
-4 is the coefficient to the variable [tex]f[/tex].
[tex]f[/tex] is, as said one line before, a variable.
Answer: -4 is a coefficient, and f is a variable.
Step-by-step explanation: I hope this helps.
In the diagram to the left, ABC and DCB are right angles. Which of the following is closest to the length of segment DE?
A.) 4.5
B.) 5.6
C.) 38.3
D.) 42.9
I think it is C, but am I correct?
Answers
plss help me am paying 100 points !!!!!!!!! At an amusement park there are 2 rides. the lightning bolt starts at a elevation of 15ft. from the platform and speeds the passengers to an elevation of 327 ft. The highest loop on the twirl mater is 295 ft and the lowest tunnel goes 21 ft underground. which ride ha the greatest elevation and how much is the change in elevation?
a) Lightning bolt : 312 ft
b) Lightning bolt : 327
C) Twirl Master : 274
d) Twirl Master : 316
Answers
Answer:
The correct answer is B - 327 ft.
5x-17=2x+50
Find x, pls show work
Answers
Answer:
x = 22 1/3
Step-by-step explanation:
5x - 17 = 2x + 50
~Add 17 to both sides
5x = 2x + 67
~Subtract 2x to both sides
3x = 67
~Divide 3 to both sides
x = 22 1/3
Best of Luck!
Read each question. Then write the letter of the correct answer on your paper.Find all the roots of 2 x⁴+x³-8 x²-4 x=0 .
(A) x=-2, x=-0.5, x=0, x=2 (B) x=-2, x=-0.5, x=2 (C) x=-2, x=0.5, x=0, x=2 (D) x=-2, x=0.5, x=2
Answers
All the roots of the polynomial 2x⁴+ x³-8x²- 4x = 0 are x = -2, x = -0.5, x = 0, x = 2 ( Option A ).
Given polynomial :
2x⁴+ x³-8x²- 4x = 0
The highest power of the polynomial is 4. This implies that this polynomial will have 4 roots or 4 zeroes.
There are numerous ways of finding roots or zeroes of a polynomial of any degree.
A root or zero of a polynomial is a solution or value of the variable which gives the value of the polynomial equal to 0.
Since this is a multiple choice based question, the easiest approach to this question is by eliminating options and finding the correct answer.
Option B and C get eliminated instantly because they have only three roots, however this is a polynomial of degree 4 and should have 4 roots.
For option A and C, we put x= -2, x = -0.5, x = 0, x = 2, and x = 0.5 in the given polynomial to check if the answer is equal to zero.
For x = -2, we get 2x⁴+ x³-8x²- 4x = 0
For x = 2, we get 2x⁴+ x³-8x²- 4x = 0
For x = 0, we get 2x⁴+ x³-8x²- 4x = 0
For x = -0.5, we get 2x⁴+ x³-8x²- 4x = 0
For x = 0.5, we get 2x⁴+ x³-8x²- 4x = -3.75
From this result, option C gets ruled out and all the values in option A check out as a root of the given polynomial.
Therefore, we get all the roots of the polynomial 2x⁴+ x³-8x²- 4x = 0 as x = -2, x = -0.5, x = 0, x = 2
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An auto transport carrier takes trucks and cars to dealerships around the country. The total weight of the load, in tons, can be found using the expression 3t+2c , where t is the number of trucks being transported and c is the number of cars being transported. What is the meaning of the 2 in the expression?
Answers
The meaning of the 2 in the expression 3t + 2c is the weight of each car
What are expressions?
Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine what is the meaning of the 2 in the expression?The expression is given as
3t + 2c
From the question we have the following parameters:
t is the number of trucks being transportedc is the number of cars being transportedThis means that the weight of each car is 2
Hence, the meaning of the 2 in the expression 3t + 2c is the weight of each car
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E is the midpoint of DF¯¯¯¯¯, DE=6x+1 and EF=7x−4. Find DE, EF, and DF.
31, 31, 56
37, 37, 74
31, 31, 62
22, 22, 44
Answers
Given that E is the midpoint of DF, the numerical values of DE, EF, and DF are 31, 31, and 62 respectively.
What are the numerical values of DE, EF, and DF?A midpoint is simply a point that divides a segment into two equal halves.Given the data in the question;E is the midpoint of D
Segment DE = 6x + 1Segment EF = 7x − 4Since E is the midpoint of DF, DE is equal to EF.
Segment DE = Segment EF
6x + 1 = 7x - 4
Solve for x:
6x - 7x = - 4 - 1
-x = -5x = 5
Now, the numerical values of DE, EF, and DF will be;
Segment DE = 6x + 1 = 6(5) + 1 = 30 + 1 = 31Segment EF = 7x − 4 = 7(5) - 4 = 35 - 4 = 31Segment DF = Segment DE + Segment EF = 31 + 31 = 62Learn more about midpoint here: https://brainly.com/question/28689713
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please do this fraction thanks
Answers
Answer:
1 3/10
Step-by-step explanation:
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x-10)^{\circ}∠A=(3x−10)
∘
and m\angle B=(8x-19)^{\circ}∠B=(8x−19)
∘
, then find the measure of \angle A∠A.
Answers
Applying the definition of supplementary angles, the measure of angle A is: 47°
What is the Definition of Supplementary Angles?The definition of supplementary angles states that two angles are referred to as supplementary angles if they give a sum of 180 degrees when added together.
Given that angle A and angle B are supplementary angles, therefore, based on the definition of supplementary angles, measure of angle A + measure of angle B = 180 degrees.
Measure of angle A = 3x - 10
Measure of angle B = 8x - 19
Substitute
3x - 10 + 8x - 19 = 180
Combine like terms
11x - 29 = 180
11x = 180 + 29
11x = 209
11x/11 = 209/11
x = 19
Measure of angle A = 3x - 10
Plug in the value of x
Measure of angle A = 3(19) - 10
Measure of angle A = 57 - 10
Measure of angle A = 47°
Thus, applying the definition of supplementary angles, the measure of angle A is: 47°
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Answer:Measure of angle A = 3x - 10
Measure of angle B = 8x - 19
Substitute
3x - 10 + 8x - 19 = 180
Combine like terms
11x - 29 = 180
11x = 180 + 29
11x = 209
11x/11 = 209/11
x = 19
Measure of angle A = 3x - 10
Plug in the value of x
Measure of angle A = 3(19) - 10
Measure of angle A = 57 - 10
Measure of angle A = 47°
Thus, applying the definition of supplementary angles, the measure of angle A is: 47°
Step-by-step explanation:
x + 4y = 9 solve for x
Answers
Answer:
x=−4y+9
Step-by-step explanation:
Let's solve for x.
x+4y=9
Step 1: Add -4y to both sides.
x+4y+−4y=9+−4y
x=−4y+9
Answer:
x = 9 - 4y
Step-by-step explanation:
ANSWER PLS!!!!!!!! hurry
Answers
Answer:
6 minutes
Step-by-step explanation:
No. of pages printed in 4 minutes = 72
No. of pages printed in 1 minute = 72/4 = 18
Remaining pages to be printed = 177 - 72 = 105
Time taken to print 105 pages = 105/18 = 5.83 minutes
Rounded off to the nearest whole number ⇒ 6 minutes
please help ASAP ggggggggggggggggggggggggggggggggggggggggg
Answers
Answer:
237500000000
Step-by-step explanation:
1.14 × [tex]10^{6}[/tex] = 1140000
4.8 × [tex]10^{-6}[/tex] = 0.000005
1140000 ÷ 0.000005 = 237500000000
running speed for adult men of a certain age group is known to follow a normal distribution, with mean 5.3 miles per hour and standard deviation 0.7. jim claims he run faster than 80% of adult men in this age group. what speed would he need to be able to run for this to be the case? give your answer accurate to two digits past the decimal point.
Answers
If Jim has to run faster than 80% of adult then he need to run with speed 5.89 mph.
A Normal Distribution is defined as the distribution where the random variable values are distributed symmetrically.
In the Question it is given that
mean (μ) = 5.3 ...(i)
standard deviation (σ) = 0.7 ...(ii)
and Jim runs faster than 80% of adult men,
and the group follows a normal distribution.
For Normal Distribution
Jim runs faster than 80% of adult men, is represented by
P(x<z)=0.80
z=φ(0.80)
z=0.842 ( from z table ) ...(iii)
we know that
[tex]z=\frac{x-\mu}{\sigma}[/tex] ...(iv)
Substituting the values of (i),(ii) and (iii) in (iv) we get
[tex]0.842=\frac{x-5.3}{0.7} \\ \\ x-5.3=0.842*0.7\\ \\ x-5.3=0.5894[/tex]
[tex]x=0.5894+5.3\\x=5.8894[/tex]
x≅5.89
Therefore , if Jim has to run faster than 80% of adult then he need to run with speed 5.89 mph.
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Model with mathematics. Graph the fraction -3/8 on the number line
Answers
The number line (d) represents the location of the fraction -3/8 on the number line
What is a number line?A number line is a vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval
How to model the fraction on a number line?The fraction is given as
-3/8
The above number is a negative number and it is greater than -1
This means that the location of the number line is between 0 and -1
To plot the number line, we make use of 8 intervals between 0 and -1 ( as represented by the number lines in the options)
The third point to the left of 0 represents -3/8
This means that the number line (d) represents the location of the fraction -3/8 on the number line
Hence, the number line (d) represents the location of the fraction -3/8 on the number line
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Can someone help me with this?
Answers
Answer:
x = 9
A(lol,brainly wont let me post this)F = 19
Step-by-step explanation:
see image. Since F is the midpoint, both halves of the segment must have the same measure.
If AhalfF is 2x+1, then the other half of AD must also be 2x+1.
We were given the length of the whole thing as well, so we can set up an equation to solve. See image.
For this performance assessment we are going to return to the fact that the sum of the three interior
angles of a triangle is 180 *. Your task will be to demonstrate that we can know this is true by
making an argument based on previously proved statements and logical ways of reasoning. In fact,
you are going to have an opportunity to prove this statement in two different ways.
Answers
The proof is shown below:
What is Angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given:
CB || HE
Now using the property of parallel lines.
So,
<HAC = <ACB (alternate interior angles)
<EAB= <ABC (alternate interior angles)
Now, HAE is a straight line then
<HAC + <CAB + <EAB = 180 ( linear pair)
<ACB + <CAB + <ABC = 180
Hence, the sum of the three interior angles of a triangle is 180.
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Feng went shopping for a new pair of pants because of a sale. The store was offering a 40% discount. If the price on the tag was $33, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
We need to know about percentage to solve the problem. The price of the pair of pants after discount but before tax is $19.8
Percentage of a number gives us a certain part of the quantity, suppose we say that 20% of 100 then we have 20. It can be defined as a given part in every hundred. In this question we know that the store Feng goes to buy a pair of pants offers 40% discount, which means that Feng can save 40% of the price of the pants. The original price on tag is given as $33, we have to find what 40% of $33 is and then subtract that amount from $33 to get the price of the pair of pants after discount but before tax.
Discount=[tex]\frac{40}{100}[/tex]x33=132/10=13.2
The price of the pants after discount =$(33-13.2)=$19.8
Therefore we found that the price of the pair of pants after discount but before tax is $19.8
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Find the inverse function for:
f(x) = 2x^3 - 3
Answers
Answer:
f−1(x)=3√4(x+3)/2 :)
pls pls help whoever gets it right gets a crown
Answers
Answer:
x = -5
Step-by-step explanation:
[tex]2x + 32 + x = 17[/tex]
[tex]3x + 32 = 17[/tex]
[tex]3x = - 15[/tex]
[tex]x = - 5[/tex]
Solve the following expression when
t = 6 and d = 8
t+d divided by 8-6
Answers
Step-by-step explanation:
t+d = is equal to 8+6=14
14divided by 8-6 equal to 14 divided by 2
Answer is 7
Question 9
Fill in the blank question.
Determine the value of the expression
–
56
–
8
+
(
−
3
)
.
Answers
Answer:
- 67
Step-by-step explanation:
note that + (-) = -
- 56 - 8 + (- 3)
= - 64 - 3
= - 67
To solve this problem, you need to use PEMDAS.
Parentheses, exponents, multiplication, division, addition, and subtraction.
--------------------
In the end, your answer would be -67.
--------------------
Hopefully I understood your question correctly!
Have a great day and God bless! :)
x=20
(Type a whole number.)
(x+21)° =
(Type a whole number.)
Answers
The whole number for the value (x + 21) is 41.
what is a whole number ?All integers starting from 0 are called whole numbers. The opposite of their corresponding positive numbers, the negative numbers are additive. The blackboard bold math Z or boldface Z is a common way to represent the set of integers in mathematical terminology.
given,
x = 20
then by putting the value of x = 20 in
(x + 21)° we get,
= (20 + 21)°
= 41°
Hence, the whole number of (x + 21) is 41
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Need help do not understand this problem at all
Answers
The function is f (x) = 3/4 x - 1.
What is Linear equation?
A linear equation is an algebraic equation with slope m is defined as,
y = mx + b
Where, b is the y - intercept.
Given that;
Slope of function (m) = 3/4
f (-12) = -10
Now,
A linear equation with slope m is defined as,
f (x) = mx + b
Substitute m = 3/4,
f (x) = 3/4 x + b
Apply the condition f (-12) = -10 we get,
f (-12) = 3/4 * (-12) + b
- 10 = 3 * (-3) + b
- 10 = - 9 + b
b = - 10 + 9
b = - 1
Substitute value of m and b in linear equation we get;
The function is,
⇒ f (x) = 3/4 x - 1.
Hence, The function is f (x) = 3/4 x - 1.
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Passes through (3, 3) and parallel to
y = 4x - 7
Answers
Answer:
y = 4x
Step-by-step explanation:
it's on the orgin and I got it right
Answer:
y = 4x - 9
Explanation:
slope intercept form:
y = mx + b [where m is slope, b is y-intercept]In the given equation y = 4x - 7, the slope is 4 and y-intercept is -7.
If the equation's are parallel to each other, the slopes are same. [tex]\sf m_1 = m_2[/tex]
So the slope for equation which passes through (3, 3) will be 4.
Equation:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\rightarrow y - 3 = 4(x - 3)[/tex]
[tex]\rightarrow y - 3 = 4x - 12[/tex]
[tex]\rightarrow y = 4x - 12+3[/tex]
[tex]\rightarrow y = 4x - 9[/tex]