Given function:-
f(x) = 2x6 – 2x2 – 5.In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficent.Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x --> ∞ f(x) = +∞
x-->-∞ f(x) = +∞
Please look for the question in the picture.
Answer:
Step-by-step explanation:
B
whether the negative sign is next to the fraction bar or next to the numerator, it doesnt matter.
A results in the last number being different from the one in the question.
answer is B
Find the value of x in the figure.
Answer:
64 degrees
Step-by-step explanation:
X equals 64 degrees because it shares a vertical angle pair with another angle which is 64 degrees. Since they are across from each other, x is 64 degrees.
Vertical angles are a pair of opposite angles formed by intersecting lines.
TRUE OR FALSE
There are whole numbers that are not integers.
There are rational numbers that are not whole
numbers.
All rational numbers are integers.
All whole numbers are rational numbers.
ANSWERS:
[tex]1. False \\ 2. True \\ 3. False \\ 4. True \\ [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Statement of cash flows (partial)
What is the solution
Answer:
the answer is -21
Step-by-step explanation:
(4²-42)+(3²-4)
=16-42+(9-4)
=-26+5
=-21
I am so bad at this.Do you know the answer?
Answer:
it's for sure option (B) cuz it's represented in the form of a straight line which means it's linear!
hope helpful~
Answer:
B
Step-by-step explanation:
I thinks its the best answer
Find the area of the figure. (Sides meet at right angles.)
Answer:
51
Step-by-step explanation:
if there isn't such an answer tell me so that I can try again.goodbye
Two positive numbers are in the ratio 2 : 3. Find the numbers if (a) their sum is 55 and (b) their product is 384.
say the numbers are "a" and "b", we know that they're in the ratio of 2:3, or namely that
[tex]\stackrel{\textit{in the ratio of 2 to 3}}{a~:~b\qquad \qquad 2:3}\qquad \qquad \implies \qquad \cfrac{a}{b}=\cfrac{2}{3}\implies \cfrac{3a}{2}=b \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their sum is 55}}{a + b = 55}\implies a + \cfrac{3a}{2}=55\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( a + \cfrac{3a}{2} \right)=2(55)} \\\\\\ 2a+3a=110\implies 5a=110\implies a = \cfrac{110}{2}\implies \boxed{a = 22}[/tex]
[tex]\stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(22)}{2}=b\implies \boxed{33=b} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their product is 384}}{ab=384}\implies a\left( \cfrac{3a}{2} \right)=384\implies \cfrac{3a^2}{2}=384\implies 3a^2=768 \\\\\\ a^2=\cfrac{768}{3}\implies a^2=256\implies a=\sqrt{256}\implies \boxed{a=16} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(16)}{2}=b\implies \boxed{24=b}[/tex]
The positive numbers for both the parts are obtained as 22,33 and 16,24 respectively.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
(a) As per the question, the numbers can be considered as 2x and 3x respectively.
Then, the equation for their sum can be written as follows,
3x + 2x = 55
⇒ 5x = 55
⇒ x = 11
The numbers are obtained as 2 × 11 = 22 and 3 × 11 = 33.
(b) Similarly, the equation for the product of numbers can be written as,
3x × 2x = 384
⇒ 6x² = 384
⇒ x² = 64
⇒ x = 8
The numbers are obtained as 2× 8 = 16 and 3 × 8 = 24.
The required number for both the cases are 22,33 and 16,24 respectively.
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pls help me
I m giving brainliest
Step-by-step explanation:
the general line equation format is
y = ax + b
a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.
(i)
A (3, 5)
B (5, 9)
x changes by +2 (from 3 to 5).
y changes by +4 (from 5 to 9).
so, the slope (or gradient) is +4/+2 = 2
(ii)
the semi-finished equation is
y = 2x + b
let's use A to get b :
5 = 2×3 + b = 6 + b
b = -1
and the full equation is
y = 2x - 1
(iii)
for point (4, k) we get
k = 2×4 - 1 = 8 - 1 = 7
Find the value of x! GIVING BRAINILEST
Answer:
the value of x must be 71°
Step-by-step explanation:
180° - (38° + 33°) = 109°
x = 180° - 109°
x = 71°
Answer:
x = 71
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 38 + 33 = 71
Please help, very urgent!!!! 50 points!!
Answer:
f = 14
Step-by-step explanation:
it is because skephalo and hot and poggers science and dnf
helpp ☹️☹️ plsplspsospsl
Answer:
BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING
Step-by-step explanation:
PLEASE HELP ME IN THIS QUESTION THE ASSIGNMENT IS DUE IN 2 MINUTES
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
x=3
Step-by-step explanation:
What u should always do is look at the letters of the triangles given:
It will tell u that:
[tex] \frac{tu}{dc} = \frac{uv}{cb} [/tex]
Now we once again just sub in the values:
[tex] \frac{12}{9} = \frac{20}{4x + 3} [/tex]
we can simplify the fraction on the right
[tex] \frac{4}{3} = \frac{20}{4x + 3} [/tex]
And now we cross multiply
3×20=4(4x+3)
60=16x+12
60-12=16x
48=16x
Therefore :
x=3
After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $27,175 (U.S. News & World Report, America’s Best Colleges, 2009 ed.). Assume the population standard deviation is $7,400. Suppose that a random sample of 60 USC students will be taken from this population.
a. Refer to Exhibit 2. What is the value of the standard deviation of the mean? (Note: keep two decimal places.)
b.What is the probability that the sample mean will be more than $27,175
c.What is the probability that the sample mean will be within $1,000 of population mean? (Note: keep two decimal places for the z value and four decimal places for the final probability value.)
d.What would be the probability in Part c if the sample size were increased to 100? (Note: keep two decimal places for the z value and four decimal places for the final probability value.)
The solutions are:
(a) Standard error is 957.04. (b) The probability is 50%. (c)The probability is 0.8491. (d) The probability is 0.8617.
To calculate the values, use the standard error formula for the sample mean:
(a)
The standard error is given by:
[tex]Standard\ error =\dfrac{ Population \ standard \ deviation}{\sqrt{sample\ size}}\\Standard\ error=\dfrac {\$ 7,400 }{ \sqrt60}\\Standard\ error =\ $957.04[/tex]
(b)
To find the probability that the sample mean will be more than $27,175, convert it into a z-score and then find the area under the normal distribution curve:
z = (sample mean - population mean) / standard error
z = ($27,175 - $27,175) / $957.04
z = 0
Since the z-score is 0, the area under the curve to the right of this point is 0.5 or 50%.
c. To find the probability that the sample mean will be within $1,000 of the population mean, we need to find the area between the range of $(27,175 - $1,000) and $(27,175 + $1,000).
Lower limit: $27,175 - $1,000 = $26,175
Upper limit: $27,175 + $1,000 = $28,175
Now, we calculate the z-scores for both limits:
lower = ($26,175 - $27,175) / $957.04 ≈ -1.045
upper = ($28,175 - $27,175) / $957.04 ≈ 1.045
Using a standard normal distribution table or calculator, the probability of a z-score being between -1.045 and 1.045 is approximately 0.8491.
(d)
If the sample size were increased to 100.
[tex]Standard error = \dfrac{ \$7,400}{ \sqrt{100}} \\Standard error = \$740[/tex]
Find the probability that the sample mean will be within $1,000 of the population mean, did in part c:
Lower limit: $27,175 - $1,000 = $26,175
Upper limit: $27,175 + $1,000 = $28,175
lower = ($26,175 - $27,175) / $740
lower ≈ -1.351
upper = ($28,175 - $27,175) / $740
upper ≈ 1.351
Using a standard normal distribution table or calculator, the probability of a z-score being between -1.351 and 1.351 is approximately 0.8617.
Hence,
Standard error is 957.04.The probability is 50%.The probability is 0.8491.The probability is 0.8617.Learn more about Probability here:
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Two same-sized triangular prisms are attached to a rectangular prism as shown below.
If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters
Answer:
answer will be a 1,208 square centimeters
Given x+2y=-6 solve for y
y= x-6/2
y= -x+6/2
y= -x-6/2
Answer:
y= -x-6/2
Step-by-step explanation:
Given,
x+2y=-6
or,2y=-x-6 (cross multiplication)
or,y= -x-6/2
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m
Mrs. Lovejoy and Christi spent the day baking cookies. When they divided them into 8 stacks, they had 14 cookies in each stack. How many cookies did they have? Solve and label the word problem. Please I need help.
Answer:
they had 112 cookies
Step-by-step explanation:
14×8 = 112
A set of data has a correlation coefficient of 0.05. What is the best way to describe the correlation of the data set
A strong negative correlation
B strong positive correlation
C weak postive correlation
D little or no correlation
3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140
9
00
8-
7+
6+
5-
3+
H
-9-8-7-6-5-4-3-2
2 3 4 5 6 7 8 9
-2+
-3+.
-4+
-5+
-6+
-7+
op -
what is the slope of the graph
Answer:
-5+
Step-by-step explanation:
Slope of the line passing through the points (1, 4) and (3, 2) is -1.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through the points (1, 4) and (3, 2)
Plug in the points in the slope formula.
Slope = 2-4/3-1
=-2/2
=-1
Hence, slope of the line passing through the points (1, 4) and (3, 2) is -1.
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What fraction is equivalent to 4/3?
the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?
Answer:
p=1
Step-by-step explanation:
[tex]\frac{4-p}{1-0}[/tex]=3
4-p=3
p=1
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call
voters and ask for donations.
Josh and Adelina define X as the amount donated by a given voter they call. Based on data from their volunteer
callers, the expected value of X is E(X) = $18.07.
Adelina says, "For every 100 voters we call, we can expect to bring in about $1,807 in total donations."
Josh says, "If we call a very large number of voters, the average donation will be close to $18.07."
Whose statement is correct based on the expected value?
According to the given expected value, it is found that Josh's statement is correct.
The interpretation of the expected value is that over a large number of trials, the average value will be close to the expected value.In this problem, the expected amount donated by a given voter they call is $18.07.
Hence, considering a very large number of voters called, the average amounts of their donations will be close to $18.07, hence, Josh's statement is correct.100 voters is not a large amount, hence the expected value should vary around $18.07, and we can't say that Adelina's statement is correct.You can learn more about expected value at https://brainly.com/question/25858347
Answer:
both correct :)
Step-by-step explanation:
What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard
Answer:
Option A is the correct answer
Step-by-step explanation:
We know that
1 yard = 3 foot
1 foot = 12 inch
1 yard = [tex]3\times12[/tex] inches
[tex]=36[/tex] inches
Option A is the correct answer
If 3 paintings cost $30, then how much does 1 painting cost?
Answer:
10$
Step-by-step explanation:
because 10$ + 10$ + 10$ equals 30$ so one is 30$
Solve the Inequality for x.
-5x + 20 < 5
A) x > 5
B) x < 3
C) x > 3
D) x < -5
Thanks!!! :D
Answer:
x>3
Step-by-step explanation:
-5x+20<5
-5x<5-20
-5x<-15
5x>15
x>15/5
x>3
Answer:
A) x > 3
Step-by-step explanation:
[tex]-5x + 20 < 5\\\rule{150}{0.5}\\-5x + 20 - 20 < 5 - 20 \\\\-5x < -15 \\\\\frac{-5x < -15}{-5}\\\\\boxed{x > 3}[/tex]
Layla missed 38 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Layla answer correctly?
Answer:
81%
Step-by-step explanation:
200-38= 162
162/200= 81/100
81%
what is the value of x that makes the equation 8 x -4 equal 96 true
Answer:
x= 12.5 or 25/2
Step-by-step explanation:
8x - 4 (+4) = 96 (+4)
8x (/8) = 100 (/8)
x= 12.5 or 25/2