3.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
B. linear function; linear term: 6x2; constant term: −12
C. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
D. linear function; linear term: x; constant term: −12
Answers
Answer:
A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
We have been given the equation
The degree of the given polynomial is 2.
Hence, the function is quadratic.
The term with exponent 2 on x is called the quadratic term. The term with exponent 1 on x is called linear and the term without any variable is a constant term.
Therefore, we have
Quadratic term= 6x^2
Linear term= x
Constant term= -12
9514 1404 393
Answer:
A. quadratic function; quadratic term: 6x²; linear term: x; constant term: −12
Step-by-step explanation:
The squared term (6x^2) is also called the "quadratic" term. The term with x to the first power (no exponent) is the "linear" term. The term with no variable at all is the "constant" term.
It should be no mystery that the quadratic term is 6x^2; the linear term is x; and the constant term is -12.
_____
Additional comment
As with much of algebra, this is about vocabulary and pattern recognition.
Related Questions
Write the prime factorization of 26.
Answers
Answer:
The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.
Step-by-step explanation:
Answer:
2 and 13
Step-by-step explanation:
First, we can see that the last digit of
26
is even, and thus
26
is divisible by
2
. If we divide by
2
, we find
26
2
=
13
. As
13
is a prime number, there are no further prime factors of
26
, and so the prime factorization of
26
is
2
×
13
.
Convert to an exponential equation.
In 17 = 2.8332
Answers
Answer:
17 = e^2.8332
Step-by-step explanation:
I dare you to answer this ,’:)
I’m serious just help me already
Answers
9514 1404 393
Explanation:
Put the given value of x into the expression and evaluate it.
x, 10(x +6), y = 10x +60
2, 10(2 +6), y = 10(8) = 80
4, 10(4 +6), y = 10(10) = 100
6, 10(6 +6), y = 10(12) = 120
8, 10(8 +6), y = 10(14) = 140
whats the answer can someone answer please
Answers
Answer:
b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
3 is being distributed into x and 3 inside the parenthesis. So it is distributive property.
Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?
Answers
Answer:
15h+10n
Step-by-step explanation:
You forgot to list the equations.
10 * n = 10n = $ paid for amount of televisions sold
15 * h = 15h = $ paid for hours worked
15h + 10n = Total amount paid
The answer for n television sold and h hours working is 15h +10n.
Expression:
An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations
Given that
Cliff earned for one hour = $15
Therefore for h hours = 15h
Also he earned additional for each television sold = $10
Therefore for n television sold = 10n
How to add the algebraic terms?Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.
Therefore the total earning is the addition of both
15h + 10n
The final answer is 15h + 10n
Learn more about expression here-
https://brainly.com/question/4344214
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Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе ԁօmаіn іѕ {-3, 9, 15}.
Answers
Answer:
Range: {-5, 19, 31}
Step-by-step explanation:
Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.
In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.
x = -3f(x) = 2x + 1
f(-3) = 2(-3) + 1
f(-3) = -6 + 1
f(-3) = -5
x = 9f(9) = 2x + 1
f(9) = 2(9) + 1
f(9) = 18 + 1
f(9) = 19
x = 15f(15) = 2x + 1
f(15) = 2(15) + 1
f(15) = 30 + 1
f(15) = 31
Therfore, the range of the function is: {-5, 19, 31}.
Determine the intercepts of the line.
Do not round your answers.
y = 4r +7
Answers
Answer:
(-7/4, 0) (0, 7)
Step-by-step explanation:
I'm assuming r is x
0=4r+7
r=-7/4
y=0r+7
y=7
can someone pls help me with dis ill give brainliest
Answers
Answer:
274900
Step-by-step explanation:
Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.
Answer:
Yes it is written in scientific notation.
Step-by-step explanation:
Scientific notation is --> a x 10^b. where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.
I need to answer the bottom question please help me ASAP
Answers
Answer:
60 degrees
Step-by-step explanation:
Because line ED exists, the sum of 100, 20, and x must be 180. So, just solve for x in the equation 100 + 20 + x = 180
20 + x = 80
x = 60
There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 play attack only. Represent the information on a Venn diagram and find number of players who play all the three positions
Answers
Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...
Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.
4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12
Answers
Answer:
12/12
Step-by-step explanation:
6/12= 1/2
so 1/2+1/2 = One Whole and that the same thing as 12/12
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Do you think you could use a multiply a 4 digit number by a 1 digit number
Answers
Answer:
line them up straight with the bottom number and the top number.
A line is reflected. Which of these could be the result?
Answers
b bcause i knew it and i mean i have a 5.0 gpa
Solve the problem below by finding a common denominator.
5/6+1/8
Answers
Answer:
5/6+1/8 = 23/24
Step-by-step explanation:
The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8. It is 24. Note that 6 = 2·3 and that 8 = 2·2². We use the factors 2³ and 3 to come up with the LCD 24.
Then 5/6 + 1/8 can be rewritten with this LCD as:
20/24 + 3/24 = 23/24
5/6+1/8 = 23/24
When thirteen is reduced by two-thirds of a number, the result is 7. Find the number.
The number is
Answers
Answer:
30Step-by-step explanation:
Let,
The req. number be = x
So,
Two - thirds of the number
[tex] = \frac{2}{3} x[/tex]
Then, it is reduced by 13
[tex] = \frac{2}{3} x - 13[/tex]
After that,
The req. result we get is = 7
Therefore,
By the problem,
[tex] = > \frac{2}{3} x - 13 = 7[/tex]
(On putting like terms on one side)[tex] = > \frac{2}{3} x = 7 + 13[/tex]
(On Simplification)[tex] = > \frac{2}{3}x = 20[/tex]
(On multiplying both sides with 3/2)[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]
(On Simplification)=> x = 30
Hence,
The req. number is 30.
Given that :
Thirteen is reduced by two-thirds of a number. And their result is 7.To Find :
The number.Solution :
Let's assume the number as x
According to the question :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]
Adding 13 to both sides we get :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]
Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]
[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]
[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]
Therefore, The number is 30.
9:12=15:______
I need the answer pls!
Answers
Answer:
15:20
Step-by-step explanation:
We can simplify the ratio to 3:4
after doing that we can multiply both sides by 5 giving us
15:20 as our answer
Or you can cross multiply
9 : 12 = 15 : x
Now we have 9x = 180
divide both sides by 9 and we get
x=20
which would work giving us the ratio of 9 : 12 = 15 : 20
Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!
Answers
Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.
The resulting mixture is 19% milkReasons:
The known quantities are;
The volume of milk Dita adds to an cup of coffee = 18 oz
The percentage of milk in the cup of coffee = 10%
Required:
The percentage milk in the resulting mixture.
Solution:
Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz
The total amount of milk in the resulting mixture = 2 oz + 1.8 oz = 3.8 oz
Volume of the resulting mixture = 2 oz + 18 oz = 20 oz
The percentage of milk in the resulting mixture is therefore;
[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]
The resulting mixture is 19% milk.
Learn more here:
https://brainly.com/question/22599498
A family buys airline tickets online. Each ticket costs $208. The family buys travel
insurance with each ticket that costs $16 per ticket. The web site charges a fee of
$22 for the entire purchase. The family is charged a total of $1142. How many
tickets did the family buy
Answers
Answer:
5 tickets
Step-by-step explanation:
Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.
Therefore, the equation is 224x + 22 = 1142
First, you have to subtract the 22 from both sides to amount to 224x = 1120
Now, you divide 224 from 1120 to get 5
The family bought 5 tickets.
¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?
Answers
Answer:
The slope of a line perpendicular to a vertical line is zero.
Step-by-step explanation:
What is the answer to, one half of 9?
Answers
4.5
Step-by-step explanation:
One half of 9 = 9/2 = 4.5
please help :,) it’s due tomorrow and i’m so confused
Answers
I cant really interpret it for you, but here's what all the numbers mean in context:
Constant
Coefficient
This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.The other 3 values for the constant can usually be ignored.
Wins
Coefficient
This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.SE Coefficient
This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.T-value
Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.Before moving on, I'll use these hypothesis:
H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁ slope ≠ 0 (alternative hypothesis, there is a relationship)P-value
This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.Alpha value
The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.Other things
S
This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etcR²
This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.Adjusted R²
This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.Conclusion
Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.
However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.
Which equation represents a line which is parallel to the line y=1/5x -1
5x +y =3
X+ 5y =10
5y - x = -20
5x - y = -3
Answers
9514 1404 393
Answer:
(c) 5y - x = -20
Step-by-step explanation:
When the x- and y-terms are on the same side of the equation, the slope of the line will be ...
m = -(coefficient of x)/(coefficient of y)
So, the slopes of the offered choices are ...
a) -5/1 = -5
b) -1/5
c) -(-1)/5 = 1/5 . . . . . parallel to given line
d) -5/-1 = 5
The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.
measurement 6 is 126
find measurement 1 and 4
Answers
Step-by-step explanation:
just stop wasting ur pionts
7. Sid has a board that is 8 5/6
feet long. He cuts a piece off of the board that
is 3 1/4 feet long. How long is the remaining piece of board
Answers
Answer:
5 7/12 feet left
Step-by-step explanation:
Step 1: 8 5/6 - 3 1/4
Step 2: = 67/12 (Put into proper fraction)
Step 3: = 5 7/12
Hope that helps :)
Answer:
5 7/12
Step-by-step explanation:
Given that the board is 8 5/6 feet long.
Cuts off 3 1/4 feet.
8 5/6- 3 1/4
Change fractions into improper fractions.
8 5/6=53/6
3 1/4=13/4
-------------------------------------------------------------
53/6x2/2=106/12
13/4x3/3=39/12
106/12-39/12=67/12
=5 7/12
Hope this helps :)
Please answer the question on the following screenshot
Answers
Answer:
E
Step-by-step explanation:
16. In April, Harry received his phone bill and found that he was charged $40 for 120
minutes of talking. In May, Harry received his phone bill and found that he was
charged $50 for 140 minutes of talking
Part A: Find the rate that Henry is charged for each minute of use.
a. $2 per minute
b. $1 per minute
C. $5 per minute
d. $0.50 per minute
Part B: Describe an equation in point slope form for calculating the cost (y) based on
minutes of use (x)
Answers
Step-by-step explanation:
A. Take two pairs of points:
(120, 40) and (140, 50)Find the rate of change:
(50 - 40)/(140 - 120) = 10/20 = 0.5This is the rate, $0.50 per minute
B. Take one pair of points (120, 40) to show the relationship between number of minutes and the cost:
y - 40 = 0.5(x - 120)It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?
Answers
Answer:
$139 463.95
Step-by-step explanation:
100% - 4.6% = 95.4%
95.4% ÷ 100 = 0.954
0.954 --> decimal multiplier
$185 000 × 0.954^6 = $139 463.95
Hope this helps! <3
if someone helps me with dis ill give u brainliest
Answers
Answer:
4 different answers
Step-by-step explanation:
1.
[(24/3) + (5*2^2)] = 28
2.
[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3
3.
[(24/3 + 5)*2^2] = 52
4.
[(3 + 5*2^2)/24] = 23/24
Answer:
Step-by-step explanation:
1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.
32 is 40 percent of what number? A 12.8 B 128 C 114 D 124
Answers
Answer: C
.Step-by-step explanation:
it was right for me so if its wrong im sorry :)
What is the inequality shown?
o
I
1
1
-9
-8 -7 -6 -5
-4 -3 -2 -1
I
0
| 1
1 2
1 1
3 4
T 1
5 6 7
00
8
9
Answers
Answer:
-4 < n ≤5
Step-by-step explanation:
The lower limit is -4. It has an open circle, so there is no equal sign
-4 < n
The upper limit is 5. It is a closed circle so there is an equals sign
-4 < n ≤5