Answer:
900,000
Step-by-step explanation:
Given that the polynomial f(x) has degree 8, which of the following most accurately describes the number of turning points of f(x)?
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial f(x) that has a degree of 8 will have 7 turning points.
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
For any polynomial equation, the number of turning points is always less than or equal to the degree of the polynomial.
Generally, the number of turns is one less than the degree of the polynomial.
Hence, the polynomial f(x) that has a degree of 8 will have 7 turning points.
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Jenny began her pizza delivery route with 1/2 of a tank of gas in her car. When she made it
back to the pizzeria, 2/5 of a tank of gas was left. How much gas did Jenny use?
Write your answer as a fraction or as a whole or mixed number.
please just answer at least one
5(2y + 3)
can’t find any answers from this question
Answer:
10y + 15
Step-by-step explanation:
5(2y + 3)
= 5x2y + 5x3
= 10y + 15
Using synthetic division, what is the factored form of this polynomial
x^3+3x^2-13x-15
Answer:
D.
Step-by-step explanation:
(x-3)(x+1)(x+5)
The factored form of this polynomial x³ + 3x² - 13x - 15 will be (x - 3), (x + 5) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given as,
⇒ x³ + 3x² - 13x - 15
Factorize the polynomial, then we have
⇒ x³ + 3x² - 13x - 15
⇒ x³ - 3x² + 6x² - 18x + 5x - 15
⇒ x²(x - 3) + 6x(x - 3) + 5(x - 3)
⇒ (x - 3)(x² + 6x + 5)
⇒ (x - 3)(x² + 5x + x + 5)
⇒ (x - 3)[x(x + 5) + 1(x + 5)]
⇒ (x - 3)(x + 5)(x + 1)
The factored form of this polynomial x³ + 3x² - 13x - 15 will be (x - 3), (x + 5) and (x + 1).
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Translate the quadrilateral W(-2, 2), X(-3, 3), Y(-6, 5), Z(-6, 3) using the transformation
(x-2, y + 3)
Answer: W (-4, 5) X(-5, 6) Y (-8, 8) Z (-8, 6)
In quadrilateral ABCD shown below it is known that BC is perpendicular CD, angle A=5x+12, and angle C=7x-36. Given this information, which of the following is the degree measure of angle A?
Answer:
m∠A = 102°
Step-by-step explanation:
In quadrilateral ABCD, BC is perpendicular to CD
m∠BCD = 90°
(7x - 36) = 90°
7x = 90 + 36
7x = 126
x = 18
Since, m∠A = (5x + 12)
Therefore, m∠A = (5×18) + 12
= 90 + 12
= 102°
Measure of angle A = 102°
A gallon of milk cost 1.99. A half-gallon cost 3.89. Is this proportional or nonproportional?
Answer:
Non Proportional
Step-by-step explanation:
A proportional figure relates to two or more figures that correspond in size or amount to one another. The gallon of milk which costs 1.99 is nonproportional to the half-gallon which costs 3.89.
On the other hand, a nonproportional figure does not correspond to in size or amount to one another.
From the given information;
A gallon of milk cost = 1.99A half-gallon cost 3.89
i.e.
[tex]\mathbf{= \dfrac{1}{2} \times 3.89}[/tex]
= 1.945
Therefore, we can conclude that the gallon of milk which cost 1.99 is nonproportional to the half-gallon which cost 3.89.
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Which expression is equivalent to one over fivem − 20?
one over five(m − 4)
one over five(m − 100)
5(m − 4)
5(m − 100)
Answer:
one over five (m-100)
Step-by-step explanation:
the answer to your question is the 2nd one
Answer:
1 / [ 5(m - 4) ] is equivalent to one over five m -20
Step-by-step explanation:
one over five(m − 4)
5(m − 4)
Factor the denominator:
1 / [ 5m - 20 ] = 1 / [ 5(m - 4) ]
what % is 3% of 5%?
James ran 80 miles, xavier ran 0.75 of the total number that james ran. How many miles did Xavier run?
Answer:
60 miles
Step-by-step explanation:
Given the parent function f(x)=x^2 in red, write the equation for the transformed function g(x) in green.
Answer:
g(x) = 2x² + 1
Step-by-step explanation:
The parabola got thinner, so to show that, you put a 2 before x² to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.
Your full equation would look like this: g(x) = 2x² + 1
Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.
find the rate of change from the equation y=-x-1 will mark braniest
Answer:
-1
Step-by-step explanation:
slope=m
(keep in mind your equation is written in the form y=mx+b)
Answer:
-1Step-by-step explanation:
rate of change for y = -x - 1
so its the inverse of -x - 1 = -1 - x
therefore, the rate of change = -1
Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total? 8 15 19 26
Answer:
I believe the answer is D) 26.
Step-by-step explanation:
Xavier will need 26 weeks to first bike more than 500 miles.
Arithmetic ProgressionAn arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the successive terms is the same.
Sum of n terms of an arithmetic progressionThe distance biked by Xavier during his first week of training is 15 miles.
The increase in the distance biked each week is 0.4 miles.
And we have to find the number of weeks required to first bike more than 500 miles total.
The given situation represents an arithmetic progression (AP) in which,
First term, a = 15
The common difference, d = 0.4
And the sum of n terms, Sn = 500
The formula to find the sum of n terms of an AP is,
[tex]\text{S}_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
How to check which option is correct?We will check which option is correct by putting them in the above equation.
For n = 8, we have
[tex]\text{S}_n = \dfrac{8}{2}[2\times15+(8-1)0.4][/tex]
Sn = 4[30+2.8]
Sn = 131.2
Which is not more than 500, so option (A) is incorrect.
For n = 15, we have
[tex]\text{S}_n = \dfrac{15}{2}[2\times15+(15-1)0.4][/tex]
Sn = 7.5[30+5.6]
Sn = 267
Which is not more than 500, so option (B) is incorrect.
For n = 19, we have
[tex]\text{S}_n = \dfrac{19}{2}[2\times15+(19-1)0.4][/tex]
Sn = 9.5[30+7.2]
Sn = 353.4
Which is not more than 500, so option (C) is incorrect.
For n = 26, we have
[tex]\text{S}_n = \dfrac{26}{2}[2\times15+(26-1)0.4][/tex]
Sn = 13[30+10]
Sn = 520
Which is more than 500, so option (D) is the correct answer.
Hence, Xavier would bike more than 500 miles in 26 weeks.
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I’LL GIVE BRAINLY IF UR CORRECT!!!!!! Plus 25 points
what is the best estimate of the sum of the fractions? 31/4 + 17/3 + 8/18
13.86 would be about how much that is
Answer:it’s 13
Step-by-step explanation:
Use elimination to solve for x and y:
9x - 4y = 11
x + 4y = 19
Select one:
a. (7,3)
b. (4,3)
c. (-1,5)
d. (3,4)
Answer:
multiply second eqyation by 9
Step-by-step explanation:
then subtract with 1 st eqn
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
2.333333333
Step-by-step explanation:
divide 3 into 7 and it's is repeating
Answer:
Step-by-step explanation:
Which multiplication equation could represent the area model?
5.03×2.02=10.165 point 0 3 times 2 point 0 2 is equal to 10 point 1 6
3.05×2.02=6.163 point 0 5 times 2 point 0 2 is equal to 6 point 1 6
2.2×5.3=11.662 point 2 times 5 point 3 is equal to 11 point 6 6
2.2×3.5=7.72 point 2 times 3 point 5 is equal to 7 point 7
Answer: y
Step-by-step explanation:
Triangle ABC has a horizontal sido AC, and AB in perpendicular to BC. A vertical line is drawn from a point labeled Don AC to the point 8.
Which of the following statements are true? Select the two correct answers.
Answer:
Option (3)
Step-by-step explanation:
Given:
Horizontal side of a triangle ABC is side AC.
AB and BC are the perpendicular lines.
BD is perpendicular to side AC.
Solution:
Option (1).
Slopes of AB and BC are reciprocal.
False.
Option (2)
Angle DAB and BCD are equal.
False.
Option (3).
Since, sides AB and BC are perpendicular lines,
Slopes of AB and BC will be negative reciprocals.
True.
Option (4).
Triangles ABD and BCD are similar.
False.
Therefore, Option (3) will be the answer.
x - 2y = 10
3x - 5y = 4
Answer:
y = -26
x = -42
Step-by-step explanation:
3x - 5y = 4
x - 2y = 10
x - 2y = 10
x = 2y + 10
3x - 5y = 4
3(2y + 10) - 5y = 4
6y + 30 - 5y = 4
y + 30 = 4
y = -26
x - 2y = 10
x - 2(-26) = 10
x + 52 = 10
x = -42
Check:
x - 2y = 10
(-42) - 2(-26) = 10
-42 + 52 = 10
10 = 10
List the next even number after 149
Answer:
150
Step-by-step explanation:
Answer:
152
Step-by-step explanation:
you want to be my friend
PLs Help me I will give brainliest
Answer:
i cant see the pic srry dude
Step-by-step explanation:
Answer:
it c
Step-by-step explanation:
it is c because it does cost less by 3.01 per pound and because i did it and got it correct plase mark me as brainliest
4 Nestor works at a garden center where he pots plants. It takes him 2 1··2hours to pot 15 plants. Part A How many plants can Nestor pot in 1 hour? Fill in the blanks to complete the equation and the statement.15 5 Nestor can pot plants in 1 hour. Part B If Nestor continues working at the same rate, how many plants will he be able to pot in 3 1··2hours? Show your work. Answer: plants
Answer:
plants sbbsjdjdhdhhs
Anyone know the question?
Helpp !
Answer:
[tex]-\frac{1}{2}[/tex] is the slope value.
Step-by-step explanation:
By using the definition of slope (Δy/Δx), we can reason that the slope is:
[tex]\frac{-1}{2} = -0.5[/tex]
A manufacturing company produces 355 units per day currently. The company's goal is to increase the number of units manufactured per day by 35 each year. If the company meets the goal how many units will it be producing per day 4 years from now?
if johnny had 6 apples and ava took 3 how many would she have left
Answer: johnny will beat up ava and take his three apples back
Answer:
I'm assuming you mean how many would Johnny have left. If not I am providing both answers. Johnny has 3 apples leftover. Ava has 3 apples, now.
Step-by-step explanation:
Johnny's apples: 6-3 = 3
Ava's apples: 0+3 = 3
Jerome’s parents want to make sure he keeps reading for the summer. So they made deal, for every 7 minutes of reading he earns one minute of game time. How many minutes of video game time will he earn if he reads for 147 minutes?
Answer:
21 minutes of game time.
Step-by-step explanation:
Since its every 7 minutes he reads he gets one minute of game time and reads fir 147 minutes you would divide 147 by 7 to get 21 minutes of game time. hope this helped :)
The ticket prices at a movie theater are shown in the table. A family purchased tickets for 2 adults and 3 children, and the family purchases 3 boxes of popcorn of the same size. The family spent a total of $40.25 how much did each box of of popcorn cost
Answer:
$2.25
Step-by-step explanation:
The first thing you do is multiply the prices of tickets by how many they bought.
$8.50 x 2= $17
$5.50 x 3= $16.50
You then add these two numbers together and subtract that from $40.25.
$17+$16.50=$33.50
$40.25-$33.50=$6.75
You then divide $6.75 by 3 to find the answer
$6.75/3=$2.25
What fraction is 0.16% equivalent to? (16 is repeating)
Answer:
[tex]\frac{16}{10000}[/tex]
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
Bodytemperatures ofhealthy koalasarenormally distributed with a mean of 35.6°C and a standard deviation of 1.3°C. a.What is the probability that a health koalahas a body temperature lessthan 35.0°C? (1pt)b.Veterinarians at a nature preserve in Australiathought a population of koalas might be infected with a virus, so they chose a random sample of n=30koalas and measured their body temperatures. If they got a sample mean body temperature less than 35.0°C, do you think that this population of koalas is healthy? Why/why not?Be specific.(4pt)c.List a potential confounding variable for this study and briefly how it might have impactedthe results. (2pt)2.
Answer:
a
[tex]P(X < 35) = 32.3 \%[/tex]
b
[tex]P(\= X < 35) = 0.6 \%[/tex]
Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy
c
A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was [tex]P(X < 35) = 32.3 \%[/tex] but when the population was taken into account (i.e n = 30) the probability became
[tex]P(\= X < 35) = 0.6 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 35.6^oC[/tex]
The standard deviation is [tex]s = 1.3^oC[/tex]
The sample size is n = 30
Generally the probability that a health koala has a body temperature less than 35.0°C is mathematically represented as
[tex]P(X < 35) = P(\frac{X - \mu }{s} < \frac{35 - 35.6}{1.3} )[/tex]
Here [tex](\frac{X - \mu }{s} = Z (The \ standardized \ value \ of \ X )[/tex]
So
[tex]P(X < 35) = P(Z < -0.46)[/tex]
From the z-table P(Z < -0.46) = 0.323
So
[tex]P(X < 35) = 0.323 [/tex]
Converting to percentage
[tex]P(X < 35) = 0.323 * 100 [/tex]
[tex]P(X < 35) = 32.3 \%[/tex]
considering question b
The sample mean is [tex]\= x = 35[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{s}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{1.3}{\sqrt{30} }[/tex]
=> [tex]\sigma_{\= x} = 0.2373 [/tex]
Generally the probability of the mean body temperature of koalas being less than 35.0°C is mathematically represented as
[tex]P(\= X < 35) = P(\frac{\= X - \mu }{\sigma_{\= x }} < \frac{35 -35.6}{0.2373 } )[/tex]
[tex]P(\= X < 35) = P(Z< -2.53 )[/tex]
From the z-table we have that
[tex]P(Z< -2.53 ) = 0.006[/tex]
So
[tex]P(\= X < 35) = 0.006 /tex]
Converting to percentage
[tex]P(\= X < 35) = 0.006 * 100 [/tex]
[tex]P(\= X < 35) = 0.6 \%[/tex]
Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy
A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was [tex]P(X < 35) = 32.3 \%[/tex] but when the population was taken into account (i.e n = 30) the probability became
[tex]P(\= X < 35) = 0.6 \%[/tex]