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
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
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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.
Help help help help help help math sucks help
The babysitter charges $10 per hour plus $5 for gas to come to the house. Let h represent the number of hours. Which expression represents the total
cost of hiring a babysitter for the evening?
Explanation:
10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.
For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.
PLEASE HELP WITH THIS ONE QUESTION
Answer:
The graph moved down 5 units
Step-by-step explanation:
Answer:
Step-by-step explanation:
The best way to get an answer to this question is to study the graph you get when you study the result from Desmos, which is a free graphing program.
Notice the way the graph is laid out. If the graph was simply y = x^2 - 6x then the y value for the minimum value would be x = 3 (just like the 2 values you do get) and y = -9
But y = x^2 - 6x + 3 has you moving up 3 units to y = - 6 and y = x^2 - 6x + 8 moves you to y = - 1. Which way are you going? The difference is 5 units and you are moving down because you start at y = x^2 - 6x + 8 and move down to x^2 - 6x + 3.
Without finding minimums (which is a cumbersome process which needs to be done twice) there's no easy way to do this except graphing.
The answer is B.
HELP PLSSSS OMG Round answer to nearest tenth too I KEPT GETTING I WRONG
Answer: where is the picture?
F=8
e=0.2
When F=25 find x
Answer:
0.625
Step-by-step explanation:
hope it can help you lovelots
Five students share the writing of a term
paper evenly. If each person writes more
than six pages, how long is the paper?
Answer:
Over 30
Step-by-step explanation:
There is no definite answer if you don't know how many pages each person. All you have to do is multiply 5 by 6
Use the distributive property to write an expression equivalent to 7(48).
Drag and drop the appropriate number into each box.
Answer:
336
Step-by-step explanation:
7x48=
7(8)= 56
7(4)+5= 33
7(48) = 336
Answer:
336
Step-by-step explanation:
- Kerry multiplied 143.64 X 10 and got 14.364. Is Kerry's answer correct?
If not, tell what Kerry might have done incorrectly.
Is the wrong answer, the correct answer is 1,436.4
List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay
Answer:
no clue -0- if I knew I would tell you
Hi I need help pls
50 points
Answer:
in the first box i do believe it would be 55 and in the second box it would be 45,
Step-by-step explanation:
Write the equation of the line passing through (-2, 1) and parallel to the line whose equation
is y = 2x + 1. Express the equation in point-slope form and slope-intercept form.
Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)
Step-by-step explanation:
Parallel means the m value or slope are equal
Given those points and the slope you can begin to write the slope y intercept form
y=2x+B
Solve B or Y intercept x=0 and the Y value we get from the given points.
1=2*0+B
y=2x+1 (slope intercept form)
for point slope plug the points in this equation
y-y1=m(x1-x1)
y-1=2(x+2) (point slope form)
using the rectangle below calculate the values of x and y
Answer:
x=4, y=9/7
Step-by-step explanation:
We will use the property that the opposite sides of a rectangle are equal
3(3y-1)=2(y+3)
9y-3=2y+6
7y=9
y=9/7
2x=4(x-2)
2x=4x-8
2x=8
x=4
Help pls will give brainlist
Answer:
should be c
Step-by-step explanation:
Answer:
B) is the answer I hope I could help
Write the equation of the line passing through the points (9,2 ) and (-3, -2)
Answer:
[tex]y=\frac{1}{3} x-1.[/tex]
Step-by-step explanation:
if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:
[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]
2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:
[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]
or in slope-interception form:
[tex]y=\frac{1}{3} x-1.[/tex]
Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the significance level be 5%. Group 1: 15, 17, 26, 11, 18, 21, 13, 29 Group 2: 23, 14, 24, 13, 22, 23, 18, 21 What rank will be given to the value 15
Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.
At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:
[tex]H_0: \mu_2 - \mu_1 = 0[/tex]
At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:
[tex]H_1: \mu_2 - \mu_1 \neq 0[/tex]
First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:
[tex]\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678[/tex]
The standard errors are:
[tex]s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21[/tex]
[tex]s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089[/tex]
For the distribution of differences, we have that:
[tex]\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676[/tex]
We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu[/tex] is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{1 - 0}{2.676}[/tex]
[tex]t = 0.37[/tex]
To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.
Using a t-distribution calculator, this p-value is of 0.72.
Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.
A similar problem is given at https://brainly.com/question/15682365
Fireworks are fired from the roof of a 100-foot building and travel 84 feet per second. The equation h = -16t 2 + 84t + 100 models the height h of the fireworks at any given time t seconds.
The firework reaches the ground after 6.25 seconds.
A projectile is the curved motion of an object thrown into space under the influence of gravity.
Given that the firework experiences a projectile motion given by the equation:
h = -16t² + 84t + 100
where h is the height after t seconds.
The firework reaches the ground when h = 0, hence:
0 = -16t² + 84t + 100
t = 6.25 seconds.
Therefore the firework reaches the ground after 6.25 seconds.
Find out more at: https://brainly.com/question/11422992
what are the first four terms in the sequence Tn=4n+9?
Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2
For constant term: f(a,b,g(t)), pattern term: f(a,Y,X) when pattern matching we can use the following assignment Y=b and X=g(t) to make the two terms match.
Note: A variable in the pattern is allowed to match anything in the other structure.
What do the uppercase letters X,Y represent?
Answer:
fuctions and constants
Step-by-step explanation:
please mark as brainliest if it helped :D
PLZ HElp 24nanjoshua PLZZZZ
Answer: 11/14
Step-by-step explanation:
1/7 = 2/14 (when you time 2 at the top and at the bottom)
2/14 + 9/14 = 11/14
Write an integer to represent each situation
1. walking to the track 6 feet ______
2. digging 10 holes a day _____
3. writing 5 papers ______
Find the absolute value
1. /-3/3 2. /+3/3 3. /-2/
4. /-6/ 5. /+9/ 6. /-15/
7. /=32/ 8. /+32/ 9. /-47/
10. /+78/
Answer:
1. 6 2. 10 3. 5
for others see below
Step-by-step explanation:
1. 6 feet
2. 10 holes
3. 5 papers
1./-3/3=3*3=9
2. /3/3=3*3=9
3./-2/=2
4./-6/=6
5./9/=9
6. /-15/=15
7. /-32/=32
8. /32/=32
9. /-47/=47
10. /78/=78
Which fractions are equivalent to 1012?
Select each correct answer.
23
56
1224
3036
5060
6084
Answer:
5/6, 30/36, 50/60
Step-by-step explanation:
10/12 divided by 2= 5/6
10/12•3= 30/36
10/12•5= 50/60
A motor that’s rated at 1/8 horsepower is used to drive a pump. How much horsepower will be applied to the pump if the motor delivers only 2/7 of its rated horsepower?
A. 23/56
B. 1/28
C. 2/15
D.7/16
Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.
From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.
Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:
= 2/7 × 1/8.
= 2/56
= 1/28
Learn more about fraction on:
https://brainly.com/question/25803541
help fast
E explaination
Answer:
a)3.4
b)8.3
c)6.30
d)19
Step-by-step explanation:
hope it can help you lovelots
#LEARN WITH BRAINLY
the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?
Answer:
210
Step-by-step explanation:
3000×0.07
Can someone please help me I will mark u brilliant
Answer:
the correct answer is 7/20
find thr value of a and b
Answer: a) 250
b) I don’t understand
Step-by-step explanation: I’m not sure if it’s correct or not
Step-by-step explanation:
a⟩. a = (5x²)/2 = {5(10)²}/2 = {5(10*10)}/2 = {5(100)}/2 = 500/2 = 250Ans.
b⟩. b = {2x²(x - 5)}/10x = [2(10)²{10²-5}]/10(10)² = [2(10*10){10*10 - 5}]/10(10*10) = [2(100){100 - 5}/10(100) = [200 {95}]/1000 = 19000/1000 = 19 Ans.
Hope this helps!!
Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain.
To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.
What Value is equivalent to 30-6 x 3
Answer:
5/1
Step-by-step explanation: I could be wrong though
Have a Good Day <3
Name one problem-solving strategy and briefly describe how it can help you as a problem-solver.?
Answer:
Trial and error
Step-by-step explanation:
It can help you by testing mulitple solutions to decleare which one is best.