Given a polynomial f(x), if (x − 4) is a factor, what else must be true? f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0
Question:
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0_______________________________________
Solution:
f(x) is a polynomial.
(x - 4) is a polynomial of f(x).
By converse of factor theorem: If (x - a) is a factor of f(x), then, f(a) = 0.
On comparing (x - 4) with (x - a), we get,
a = 4So,
f(a) = 0
=> f(4) = 0
does anyone know the answer to this?
Answer:
I think she has about 3 segments for sprinting and 6 segments for jogging
Alan has read 70% of a book and he has 15 pages left to read. How many pages are in the book
Answer:
Step-by-step explanation:
how would i graph
y=− 5/2x-3
and
x−y=−4
(_,_)
Given:
The system of equations is
[tex]y=-\dfrac{5}{2}x-3[/tex]
[tex]x-y=-4[/tex]
To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for [tex]y=-\dfrac{5}{2}x-3[/tex] is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for [tex]x-y=-4[/tex] is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).
Can someone help me with this question.
is ab tangent to the circle
Answer:
Yes. A tangent hits the side of a circle but does not go inside it.
Step-by-step explanation:
Please mark brainliest
thabo rounded the number of marbles to the nearest 5. His answer was 340. write down 2 possible numbers for the actual number of marbles.
Answer:
338 or 335 they both get rounded of to the nearest 5
2 possible numbers for the actual number of marbles 338 and 335, are rounded to the nearest 5.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, Thabo rounded the number of marbles to the nearest 5 and his answer was 340.
Therefore, 2 possible numbers for the actual number of marbles could be
Whether it's 338 or 335, both numbers are rounded to the nearest 5.
learn more about rounding of off numbers here :
https://brainly.com/question/13391706
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What is pi?
Why is pi day celebrated on March 14th?
When is pi Approximation Day
celebrated?
What does the symbol π mean?
What is the diameter of a circle?
What is the radius of a circle?
How do you find the area of a circle?
How do you find the circumference of a circle?
What year was Pi Day first celebrated?
Answer:
What is pi? Pi the ratio of the circumference of any circle to the diameter of that circle.
Why is pi day celebrated on March 14th? Be cause March 14 represents the value of Pi. March is the third month of the year, which is also the initial number of the value. The following number is 14, hence the March 14 date.
When is pi Approximation Day
celebrated? July 22
What does the symbol π mean? Pi
What is the diameter of a circle? Diameter is the length of the line through the center that touches 2 points on the edge of the circle.
What is the radius of a circle? The radius is half of the diameter.
How do you find the area of a circle? The area of a circle is pi times the radius squared. A = π r2
How do you find the circumference of a circle?
Two times it radius multiplied by pi or pi times its diameter.
What year was Pi Day first celebrated? 1988
If x=7 and y=-3 xy/3 + 2
Answer:
-5
Step-by-step explanation:
x = 7
y = -3
[tex]\frac{xy}{3} +2\\\\\frac{7(-3)}{3} +2\\\\\frac{-21}{3} +2\\\\-7+2\\-5[/tex]
Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?
Traverion wants to find the answer to the question “How much money does the average college professor make?” He surveys 50 professors from the university in his hometown. Which best describes whether or not the results of his survey would represent the responses from the entire population of college professors?
The results do not represent the population because not all college professors actually responded.
The results do not represent the population because the sample does not represent professors from different areas.
The results represent the population because the sample contained college professors and the population is college professors.
The results represent the population because he sampled a large number of professors.
A stack of 6 books weighs 4.8 pounds. If each book weighs the same amount, how much does each book weigh?
Answer:
Each book weights .8 pounds
Step-by-step explanation:
Take the total weight and divide by the number of books
4.8 /6
.8 lbs
Each book weights .8 pounds
PLZZ HELP I HAVE A TEST 20 POINTS
3( -2)(+3)(+4)
Answer:
8
Step-by-step explanation:
add ur positives
3+3+4=10
now add ur negative
10+ (-2)
8
I think the answer is -72. I'm not very sure, but I solved the equation the way I understood it, and I got -72.
The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $3.00 per ticket, while adults paid $5.00 per ticket. Last night’s show brought in $1050.
Write a system of equations for the problem.
9514 1404 393
Answer:
s + a = 2503s + 5a = 1050Step-by-step explanation:
Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...
s + a = 250 . . . . . . total of tickets sold
3s +5a = 1050 . . . dollar value of tickets sold
_____
The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.
can someone help please 13 points and those are the only answer options for all 4
Answer:
1 - x-axis, 2 - y-axis, 3 - y-axis, 4 - x-axis
Step-by-step explanation:
what the answer for the poles in feet.
Answer:
A)10 feet tall
Step-by-step explanation:
The man casts a shadow half his height and so does the telephone pole
The new patio at Tonya's house is 5 yards long by 10 feet wide. She is going to cover the patio with square bricks that measure 1 foot on each side. If each brick costs $4, how much will Tonya pay for the bricks? A rectangle that is five yards long and ten feet wide A. $600 B. $120 C. $150 D. $200
Answer:
A
Step-by-step explanation:
Steps to take to determine the answer
Because the length is in yards, it has to be converted to footFind the area of the patio using the length and width measured in footDetermine the area of the square brickMultiply the cost of the brick by the area1 yards = 3 foot
5 x 3 = 15 foot
Area of a rectangle = length x breadth
15 x 10 = 150 ft^2
Cost = 150 x 4 = $600
What is the image point of (8, -4) after a translation left 3 units and up 4 units?
Answer:
(5, 0) is the answer I believe.
The work I did:
8 - 3 = 5
4 - 4 = 0
Find the indicated side of the
triangle.
b = 7 [?]
b is a diagonal of a square. Diagonal is just [tex]a\sqrt{2}[/tex] which means that b is equal to [tex]7\sqrt{2}[/tex].
please help as soon as possible
Answer:
∠ABC = 54°
Step-by-step explanation:
an inscribed angle is 1/2 the size of an incenter angle.
so:
∠AMC = 2(∠ABC)
10x - 12 = 2(4x + 6)
10x - 12 = 8x + 12
simplify:
2x = 24
x = 12
∠ABC = 4(12) + 6 = 54°
Calculate the area of the shape below
3 1/2
Answer:
option B by using formula of area of circle.
Determine the value of y, if x is 6.
y = x2 – 6
Answer:
6
Step-by-step explanation:
[tex]y = 6(2) - 6 \\ = 12 - 6 \\ 6[/tex]
Therefore, when x is 6 y = 6
the length width and height of a box form an arithmetic sequence. if the surface area of the box is 365.04 square units and the box's smallest dimension is 3 units, what is the volumes of the box in cubic units?
Answer:
the answer will be 365.04÷3
=121.68
HELP PLSS!!
Let f(x)=x2+3x+2.
What is the average rate of change of f(x) from 3 to 6?
−112
12
−12
112
Answer:
12
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 6 ] , then
f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56
f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then
average rate of change = [tex]\frac{56-20}{6-3}[/tex] = [tex]\frac{36}{3}[/tex] = 12
Answer:
12
Step-by-step explanation:
help plsssssssssssss
Answer:
144
Step-by-step explanation:
72% of 200 is 144
Equation: 0.72*200 = 144
Answer:
B. 144
Step-by-step explanation:
A boogie board that normally sells for $69 is on sale at a 35% discount. what is the total cost of the boogie board?
Answer: 44.85
Step-by-step explanation:
The width of a rectangle is 4x^3y feet and the length of the rectangle is 9xy^5feet. Which expression represents the area of the rectangle in
square feet?
Answer:
36x^4y* y^5
Step-by-step explanation:
Given data
Width = 4x^3y ft
Length=9xy^5 ft
We know that the expression for the area is given as
Area= Length*Width
Area= 9xy^5*4x^3y
Area= 36x^4y* y^5
find AB and BC with the help of given in figure complete following activity
Answer:
let base side be x=AB=BC
by using Pythagoras law
h²=p²+b²
(√8)²=x²+x²
8=2x²
x²=8/2
x=√4=2=AB=BC
Step-by-step explanation:
sin BAC=BC/AC
<BAC=sin-¹(2/√8)=45
Find the median of the data set: 18, 22, 25, 15, 17, 35, 32, 32, 36, 22, 18
Answer:
32
Step-by-step explanation:
Will give brainlest for this question my practice test!!!!!!
Answer:
You didnt show the drop down. Just add 3 units to each point tho if u want to solve it.
Step-by-step explanation: