A polynomial function contains the factors x, x - 3 , and x + 1 Which graphs could represent the polynomial function? SELECT ALL THAT APPLY.
Answers
Answer:
Option B and F.
Step-by-step explanation:
Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,
[tex]x = 0[/tex]
x - 3 = 0 ➡️ x = 3
x + 1 ➡️ x = -1
Plus, the polynomial has the zeroes -1, 0 and 3.
It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.
Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).
It is observed that the graphs in options B and F follow this path.
So the correct choices are option B and F.
Related Questions
A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?
100 POINTS
Answers
Answer:
Step-by-step explanation:xmccc
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
1048 = (2x+19)*8
X= ((1048/8)-19)/2
=56
Truck speed is 56 miles per hour
Car speed is 56+19=75 miles per hour
Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the right triangle is 2 1/3 yards. Find the area of the triangular playground.
Answers
Answer:
area of right triangle = ab/2
base = 18yards
height = 2 1/3 = 7/3yards
area = (18 * 7/3) /2 = 42 /2 = 21[tex]yards^{2}[/tex]
hope this answer helps you.....
Need answer please !!
Answers
You would get D
You would get 13/3
This solid was created by joining two right rectangular prisms.
7 cm
9 cm
5 cm
4
4 / 3cm
12 cm
Enter the volume of the solid in cubic centimeters.
Answers
Answer: 648
Step-by-step explanation:
Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8
Answers
Answer:
3.5
Step-by-step explanation:
A high-school administrator who is concerned about the amount of sleep the students in his district are getting selects a random sample of 14 seniors in his district and asks them how many hours of sleep they get on a typical school night. He then uses school records to determine the most recent grade-point average (GPA) for each student. Here is the regression output. Assume the conditions for inference are met. 1.
Predictor Coef SE Coef T P
Constant 2.6476 0.3281 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
Required:
Predict the GPA for a senior in this district who gets 8 hours of sleep on a typical school night.
Answers
Answer:
3.46
Step-by-step explanation:
Given the regression output :
Predictor Coef ___SE __ Coef __ T ___ P
Constant 2.6476_0.3281_ 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
The regression equation which models the relationship between hours of sleep a student gets and his GPA can be obtained from the regression output :
The GPA is the dependent, y variable
Hours of sleep is the independent, x variable
y = 0.10176x + 2.6476
Hence, the GPA of a student who gets 8 hours of sleep on a typical school can be computed thus ;
Hours of sleep, x = 8
y = 0.10176(8) + 2.6476
y = 0.81408 + 2.6476
y = 3.46168
Thus, predicted GPA = 3.46
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)
Answers
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
We have,
To write an exponential growth function to find the monthly growth rate, use the following formula:
[tex]P(t) = P_0 (1 + r)^t[/tex]
Where:
P(t) is the population at time t
P₀ is the initial population (350 in this case)
r is the growth rate per time period (monthly rate in this case)
t is the time in the corresponding time period
To find the monthly growth rate.
[tex]= (1 + r)^{1/12} - 1[/tex]
= [tex](1 + 0.03)^{1/12} - 1[/tex]
= 0.02493
= 2.493 %
Therefore,
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
Learn more about exponential growth functions here:
https://brainly.com/question/14355665
#SPJ4
Find the area of the following figure: 12yd 8yd 4yd
Answers
12 * 4 + (22/7 * 4^2)/2
48 + 25.14
73.14 yard square
Quadrilateral ABCD is translated 2 units to the left and 5 units down to create quadrilateral A'B'C'D'.
D
6.1
1.4
А A
2.2
4.5
B
D
36
А?
36°
В?
Answers
Answer: 14.2
Step-by-step explanation: Khan Academy
ACED PLEASE HELP I NEED THIS FAST.
Answers
Answer:
The Answer is B
Hope that helps
y = -x + 2 –6x + 2y = 8
Answers
Answer:
rewrite the whole expression;
X+Y =2
-6x + 2y = 8
divide the 2nd expression by 2 on both sides we get
-3x + y = 4
substract the 1st expression from the newly found 2nd expression
-3x-x + y-y = 8-2
-4x = 6; x= 3/2
y = 2-(3/2) = 1/2
x= 3/2 , y= 1/2
Take home pay is equal to
Answers
Answer:
gross income - ( required deductions + optional deductions )
Here it is sry and thx!
Answers
Answer:
B
Step-by-step explanation:
hard to explain xD
Answer:
#2
Step-by-step explanation:
1x60+45=105
2x60+45=165
3x60+45=225
4x60+45=285
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answers
Answer:
D. 6
Step-by-step explanation:
Finding M:
M is the midpoint of L and P, which is given by the mean coordinates of L and P.
x for L is -3, and for P is 9. So
(-3 + 9)/2 = 6/2 = 3
Finding N:
N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So
(3 + 9)/2 = 12/2 = 6
The correct answer is given by option D.
if you add an exclamation I will give you a Brain list
A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.
Answers
Answer:
it would be 3 tons if I'm correct
Answer: 3 tons
Step-by-step explanation:
1 ton is equal to 2,000 pounds.
Divide 6,000 from 2,000 to find how many tons the animal weighs.
6,000/2,000=3.
Hope this helps!
helppppppppppppppppp
Answers
Answer: x smaller than or equal to -4
5th grade math. correct answer will be marked brainliest
Answers
Answer:
sorry but the picture if you put one on here isn't showing up maybe Repost and I could answer
What value of x makes the following equation true x + 10 = 18
Answers
x+10-10=18-10
x=8
Step-by-step explanation:
The value should be
X=18-10= 8
X=8 Answer
-2 4/5 divided by -7
Answers
Answer:
2/5 or 0.4
Step-by-step explanation:
convert -14/5 / (-7)
divide 14/5 / 7 ( two negatives equal a positive)
equals 2/5 or 0.4 in decimal
f(x)=-2x² + 3x-6, find f (3)
Answers
Answer:
f(3) = -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + 3x - 6
f(3) is x = 3 for the function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6Exponents: f(3) = -2(9) + 3(3) - 6Multiply: f(3) = -18 + 9 - 6Add: f(3) = -9 - 6Subtract: f(3) = -15Answer:
f(3) = -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Functions
Function Notation
Step-by-step explanation:
Step 1: Define
f(x) = -2x² + 3x - 6
f(3) is x = 3 for the function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6
Exponents: f(3) = -2(9) + 3(3) - 6
Multiply: f(3) = -18 + 9 - 6
Add: f(3) = -9 - 6
Subtract: f(3) = -15
Please help me out here.............
Answers
Can someone please give me this answer
Answers
Answer:
42°
Step-by-step explanation:
According to Exterior Angle Theorem,
an exterior angle of a ∆ is equal to the sum of the opposite interior angles.
So,
h+96°=138°
h=138°-96°
h=42°
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
(3, -2)
Step-by-step explanation:
Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work
Answers
Answer: false, 44 is not less than 24
Step-by-step explanation:
Substitute-3 for x and -7 for y.
4(-3)-8(-7)<24
-12+56<24
44<24
Inequality question PLEASE HELP
Answers
Answer:
40x4x<60
x<5
Step-by-step explanation:
40x4x<60
4x<60-40
4x<20
x<20÷4
x<5
A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?
Answers
Answer:
87.5%
Step-by-step explanation:
The area of the entire rectangle is 8 by 6,
8x6=48 so the area is 48 units^2.
The area of the triangle is A=1/2bh
A=1/2(2)(6)
A=1(6)
A=6 units^2
6/48=0.125
0.125=12.5%
You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.
100-12.5=87.5
There is an 87.5% chance it will not land in the triangle
The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.
Complete the following sentences based on the graph of the function.
1. The longer the sailboat is, the [FASTER/SLOWER] it can go.
2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.
3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.
4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed.
Answers
Answer:
Review the graph to get answers:
1. The longer the sailboat is, the FASTER it can go. As it is a increasing function.
2. For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.
3. The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.
4. Top speed of a 16-foot boat is 10 kilometers per hour and of a 4-foot boat is 5 kilometers per hour.
The ratio is:
10/5 = 2 timesA 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.
I need help please.
Answers
So
I tho l it’s B
At a bookstore Mrs.McIntyre buys three books, one for each of her children. Each book cost the same amount. She also buys $1.50 magazine for herself. Her purchases have a total price of $13.47. The equation 3x+1.50=13.47 models this situation. Solve this equation for x. Explain what this value of x means in terms of the bookstore purchases.
Answers
Answer:
X= $3.99
Step-by-step explanation:
X is the value of each book
Answer:
x=3.99
Step-by-step explanation:
3x + 1.5= 13.47
3x + 1.5 - 1.5 = 13.47 - 1.5
3x = 11.97
3x/3 = 11.97/3
HOPE THIS HELPSSS
Choose the sets of equivalent expressions (select all that apply)
A. 4x and 5 + x
B. 2b + b and 3b
C. 3x and 3 + x
D. a ÷ 1/3 and 1/3 a
E. a ÷ 1/3 and a × 3
F. 1a and a
Answers
9514 1404 393
Answer:
B, E, F
Step-by-step explanation:
A. 4x and 5 + x
B. 2b + b and 3b
C. 3x and 3 + x
D. a ÷ 1/3 and 1/3 a
E. a ÷ 1/3 and a × 3
F. 1a and a
_____
Comment on the above
ax is multiplication of x by 'a'. a+x is addition. They are different operations.
x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.