Given:
4 is a root of f(x).
To find:
A factor of f(x).
Solution:
We know that, if c is a root of a function f(x), then (x-c) is a factor of f(x).
In the given problem, 4 is a root of f(x).
So, we have c=4.
By using the above property we can say that, (x-4) is a factor of function f(x).
Since, (x-4) is a factor of function f(x), therefore, the correct option is C.
the quadrilateral obtained by joining the mid points of adjacent sides of a square is?
Answer:
Square
Step-by-step explanation:
the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square
Slope intercept form for (2,3) and (-1,6)
Answer:
the answer is [tex]y=-x+5[/tex]
Step-by-step explanation:
I hope this helps! :)
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Please help I don't want just the answer I want to know how to solve it.
Answer:
149 degrees
Step-by-step explanation:
Since m and n are parallel you need to remember the rules of transversals, this means that <1 and <2 are corresponding. Corresponding angles are always congruent, so we can solve for x by setting them equal to each other.
[tex]8x-1=7x+3[/tex]
First, move the variables to one side, I will move them both to the right, but remember you can do it on either side. To do this subtract 7x from both sides
[tex]8x-1-7x=7x+3-7x[/tex], then simplify
[tex]x-1=3[/tex]
Next, add 1 to both sides to isolate the variable
[tex]x-1+1=3+1[/tex], then simplify
[tex]x=4[/tex]
Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation
[tex]8(4)-1=31[/tex]
Finally, you can solve for <3 because <1 and <3 are supplementary. So to solve add both and set them equal to 180, in this equation let x stand for <3. [tex]180=31+x[/tex], then subtract 31 from both sides [tex]180-31=31+x-31[/tex] and simplify, [tex]149=x[/tex]. So angle 3 is equal to 149.
2x + y = -2
x + y = 5
The x-coordinate of the solution to the system shown is _____.
3
-7
-3
7
Answer:
The answer to da question is 3
Determine if the sequence is arithmetic write yes or no 5,9,14,20
Answer: No
Step-by-step explanation:
An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.
In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.
carmen ran 1 3/8 miles yesterday. her sister lola ran 2 1/4 miles how much farther dad lola run than carmen show your work
Answer:
7/8 miles
Step-by-step explanation:
1/4 can be rewritten as 2/8 to have the same denominator between the two numbers. 2 2/8 - 1 3/8. 2 2/8 - 3/8 = 1 7/8. 1 7/8 - 1 = 7/8
what is sum of -3x^2 - 7x + 9 and - 5x^2 + 6x - 4
Help lord mercyyyy ♂️
Combine like terms
(x+y)+(x+y)+(x+y)+(x+y)
the combine like terms is
Answer:
It is 4x + 4y.
Step-by-step explanation:
All you have to do is add all of the y's toghther and then add all of the x's toghther.
Answer:
4x+4y
Step-by-step explanation:
Combine the four "x" so x+x+x+x likewise the four "y" y+y+y+y.
On a 1 mile track, Runner A has made 18 laps in the time it took Runner B to make 8 laps. If Runner A is running 5 mph faster than Runner B, how fast is each of them running?
9514 1404 393
Answer:
A: 9 mphB: 4 mphStep-by-step explanation:
Let b represent the speed of runner B. then the ratio of speeds is ...
b/(b+5) = 8/18
18b = 8(b +5) . . . . cross multiply
10b = 40 . . . . . . . . subtract 8b
b = 4 . . . . . . . . . . . divide by 10
Runner B's speed is 4 mph; runner A's speed is 5 mph more.
Runner A is running at 9 mph; Runner B is running at 4 mph.
What is the measure of angle x?
Answer:
X=135
Step-by-step explanation:
180-69-66=45
And the angle of a line is also 180 and 180-45=135
what is the answer to 2.4 × 10-4
Answer:
(2.4)(10)−4
=20
Step-by-step explanation:
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
Answer:
[tex]y=-\frac{1}{4}x+\frac{9}4}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x₁ , y₁) = (3, -3) & (x₂ , y₂) = (1 , 2)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{2-3}{1-[-3]}\\\\= \frac{-1}{1+3}\\\\=\frac{-1}{4}[/tex]
m = (-1/4)
y - y₁ = m(x - x₁)
[tex]y - 3 = \frac{-1}{4}(x - [-3])\\\\y - 3 = \frac{-1}{4} (x + 3)\\\\y - 3 = \frac{-1}{4}x-\frac{3}{4}\\\\ y = \frac{-1}{4}x-\frac{3}{4} + 3\\\\ y =\frac{-1}{4}x+\frac{-3+12}{4}\\\\ y =\frac{-1}{4}x+\frac{9}{4}[/tex]
Which is correct please hurry <3
Answer:
The last one I did the math
Answer:
D
Step-by-step explanation:
bc it is just put it
Arely has 4 fewer than twice as many music files as Valerie. They have a combined number of 86 music files. Which is the number of music files that Arely has?
Answer:
56 music files
Step-by-step explanation:
From the above question:
Let the number of music files
Arely has = x
Valerie has = y
Arely has 4 fewer than twice as many music files as Valerie.
x = 2y - 4
They have a combined number of 86 music files.
x + y = 86
We substitute 2y - 4 for x in the above equation
2y - 4 + y = 86
3y - 4 = 86
3y = 86 + 4
3y = 90
Divide both sides by 3
3y/3 = 90/3
y = 30
Hence, Valerie has 30 music files.
The number of music files that Arely has is calculated as:
x = 2y - 4
x = 2(30) - 4
x = 60 - 4
x = 56
Arely has 56 music files
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Answer:
(1) The slope of the line segment AB is 1.[tex]\bar 3[/tex]
(2) The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is (5, 7)
(4) The slope of a line perpendicular to the line AB is-0.75
Step-by-step explanation:
The coordinates of the line segment AB are;
A(2, 3) and B(8, 11)
(1) The slope of a line segment is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) and (x₂, y₂) are two points on the line segment
Therefore;
The slope, m, of the line segment AB is given as follows;
A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)
[tex]Slope, \, m_{AB} =\dfrac{11-3}{8-2} = \dfrac{8}{6} = 1 \frac{1}{3} = 1.\bar3[/tex]
The slope of the line segment AB = 1.[tex]\bar 3[/tex]
(2) The length, l, of the line segment AB is given by the following equation;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
[tex]l_{AB} = \sqrt{\left (11-3 \right )^{2}+\left (8-2 \right )^{2}} = \sqrt{64 +36} = 10[/tex]
The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is given as follows;
[tex]Midpoint, M = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )[/tex]
Therefore;
[tex]Midpoint, M_{AB} = \left (\dfrac{2 + 8}{2} , \ \dfrac{3 + 11}{2} \right ) = (5, \ 7)[/tex]
The coordinates of the midpoint of AB is (5, 7)
(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;
[tex]m_1 = -\dfrac{1}{m_2}[/tex]
Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1.[tex]\bar 3[/tex] is given as follows;
[tex]m_1 = -\left (\dfrac{1}{\frac{4}{3} } \right ) = -\dfrac{3}{4} = -0.75[/tex]
The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.
at a particular time the length of the shadow of Qutub Minar whose height is 72 metres is 18 what will be the height of an electric pole the length of whose Shadow at the same time is 1000 CM
Answer:
40m
Steps:
1000cm=10m
72m:18=10:x
x=(10*72)/18 = 40
Hope this helps, have a great day
What is the value of the expression below when x = 4
2x² + x – 5
The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons find the diffrence in the fuel tank of the teo car
Given :
The cooper family owns a luxery sedan and a compact car the fuel tank capacity for the luxury seden is 22.45 gallon and of the compact car is 8.7 gallons.
To Find :
The difference in the fuel tank of the two car.
Solution :
Capacity of sedan, S = 22.45 gallons.
Capacity of compact car, C = 8.70 gallons.
Difference in the capacity :
D = S - C
D = 22.45 - 8.70 gallons
D = 13.75 gallons
Therefore, difference in the fuel tank of the two car is 13.75 gallons.
Hence, this is the required solution.
From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn's population increased by 11,870 more than the population increase of Queens. a) Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011. (Round the addends to estimate.)
Answer: 44000
Step-by-step explanation:
From the question, we are informed that the population of Queens increased by 16,075.
Brooklyn's population increased by 11,870 more than the population increase of Queens. This means that Brooklyn's population will be:
= 16075 + 11870
= 27945
The total combined population increase of Queens and Brooklyn from 2010 to 2011 will then be:
= 16075 + 27945
Estimating 16075 gives 16000
Estimating 27945 gives 28000
Adding then together equals
16000 + 28000 = 44000
A 10,000-gallon swimming pool needs to be emptied. Exactly 2,000 gallons have already been pumped out of the pool and into the tanker. As the pump is pumping water, the amount of water in the pool decreases at a constant rate of 720 gallons per hour. What is the slope and what is the y-intercept
Answer:
slope = -720
y-intercept: 8,000
Step-by-step explanation:
The slope in this case is a negative slope, since the word "decreased" is being used. The rate of 720 gallons per hour can be seen as -720 / 1, which gives you the -720 slope.
The y-intercept in an equation represents the initial value. Since 2,000 gallons has already been pumped out, the initial value is 8,000.
The constant rate at which the water decreases results in a straight line
function between the volume of water in the tank and time of pumping.
The slope is -720 (gal/hour)
The y-intercept is 8,000 (gallons)
Reasons:
The volume of the swimming pool = 10000 gallon
Volume of water already pumped out = 2,000 gallons
Rate at which the water is being pumped out = 720 gallons per hour
Required:
The slope and y-intercept of the function
Solution:
Volume of water in the tank = (10,000 - 20,000) gallons = 8,000 gallons
Volume of water decreasing from the tank after t hours = 720·t
Therefore;
Volume of water in the tank after t hours, is V(t) = 8000 - 720·t
Comparing the above function with the equation of a straight line, in slope
and intercept form, y = m·x + c, we have;
V(t) = -720·t + 8000
Slope, m = -720y-intercept = 8000Learn more here:
https://brainly.com/question/13881458
WILL MARK BRAINLIEST IF YOU GIVE THIS ANSWER TO ME
Answer:
[tex]10 {}^{5} = 1000000[/tex]
So,
4.6*1000000
Therefore, 46000000
Drag each label to the correct location on the graph. Not all labels will be used.
SallorsBay is a boat rental company that offers sailboat rentals for tourists. They charge a certain rate for the rental of a sailboat and
an additional hourly fee according to the length of time for which the tourists rent the boat.
Complete the graph with the appropriate quantities that describe SailorsBay's rental charges.
у
C
Number of Sailboats
Time (weeks)
Rental Charge ($)
Time (days)
Time (hours)
Number of People
Answer:
Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.
write an equation of the line passing through points (3,8) and (-2,-22)
Answer:
[tex]y=6x-10[/tex]
Step-by-step explanation:
First, we can find the slope using the two given points.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]
Then, we can use the slope we just found and one of the given points to find the y-intercept.
[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]
And we can put our equation together.
[tex]y=6x-10[/tex]
Hope this helps!
If the measure of angle ACB is 50 degrees, what is the measure of angle AOB
The answer is 100 degree
...................///////////////////////
Answer:
2880 if u multiply
Step-by-step explanation:
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Find the value of c so that the polynomial p(x) is divisible by (x – 3).
p(x) = -x3 + cx2 - 4x + 3
с=
Answer:
c = 4
Step-by-step explanation:
p(x) is divisible by (x - 3).
So, p(3) = 0
-(3)³ + c(3)² - 4 *3 + 3 = 0
-27 + 9c - 12 + 3 = 0
9c - 36 = 0
9c = 36
c = 36/9
c = 4
Please help I need help
Which expression best estimates
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The Williamson's went to dinner at the Olive Garden. If their dinner cost $42.00 and they
paid a total of $49.56, what percent of the dinner cost represents the tip?
Answer:
7.56
Step-by-step explanation:
i did was 49.56 - 42,00 to see how much tip they did.