Answer:
The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0
Step-by-step explanation:
The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.
Given
[tex]P(a) = 0[/tex]
The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0
Take for instance, the polynomial is:
[tex]P(x) = x^2 - x - 2[/tex]
And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.
[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]
Factorize the numerator
[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]
[tex]\frac{P(x)}{x} =x + 1}[/tex]
See that x - 2 is a divisor
To check
Set x - 2 to 0
[tex]x -2 = 0[/tex]
[tex]x = 2[/tex]
So, we have:
[tex]P(x) = x^2 - x - 2[/tex]
[tex]P(2) = 2^2 - 2 - 2[/tex]
[tex]P(2) = 4 - 2 - 2[/tex]
[tex]P(2) = 0[/tex]
A recipe needs 3/4 cup of water for every 2 cups of flour. If you plan to use 6 cups of flour, how much water will you need?
Answer:
2 1/4 cups
Step-by-step explanation:
3/4 times 3 2.1/4
Answer:
2 1/4
Step-by-step explanation:
Add 9¢ to $3.48. Include the dollar sign and no spaces in your answer.
Answer:$
$3.97
Step-by-step explanation:
Answer:
$3.48+9¢=$3.57
Step-by-step explanation:
i added 48 cents to 9 cents
Question in photo too lazy to solve lol
The value of 3centimeters to kilometers is 0,00003 km
Converting centimeters to metersIn order to convert centimeters to kilometers, we will use the conversion factor below.
100cm = 1m
1000m = 1km
Given 3cm
3cm = 3/100 m
3cm = 0.03m
Convert to km
Since 1000m = 1km
0.03m = 0.03/1000
0.03m = 0.00003km
Therefore the value of 3centimeters to kilometers is 0,00003 km
Learn more on cm to km here: https://brainly.com/question/1549097
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which equation represents the graph
What is the area of a circle if the diameter is 27?
Answer:
Step-by-step explanation
A = (3.14)(r^2)
r^2 = (1/2 d) = 13.5^2 = 182.25
A = 3.14 x 182.25 = 572.265 unit sq.
4. Which of the following differences could not give a distance between two points on a number line? Explain why. a. 19-7 c. -12-(-7) b. -3 - (-18) d. 14-(-6)
-12 -(-7) could not be a distance.
Distance:
Distance traveled is the total length of the path traveled between two positions. It can either be a 0 or a positive number that's mean it can never be a negative number.
So from the above-given statement we have
a) 19-7 = 12 (which is positive number)
b) -12 - (-7) = -12 + 7 = -5 ( which is a negative number)
c) -3-(-18) = -3 + 18 = 15 ( which is a positive number)
d) 14-(-6) = 14 + 6 = 20 ( which is a positive number)
Therefore option b i.e., -12 - (-7) cannot be a distance between two points on a number line.
To know more about the distance refer to the link given below:
https://brainly.com/question/17273444
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Perry's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and 7 child tickets for a total of $57. The school took in $63 on the second day by selling 7 adult tickets and 14 child tickets. What is the price of one adult ticket and one child ticket?
Answer:
$6
Step-by-step explanation:
Answer:
both cost 3 dollars
Step-by-step explanation:
x=adult ticket
y=child ticket
12x+7y=57
7x+14y=63
24x+14y=114
-7x-14y=-63
17x=51
x=3
7(3)+14y=63
21+14y=63
14y=42
y=3
what would be the best first step to solve this
(4x-9x)(12+8x)=9(4x)
Answer:
open the brackets is the first step
Step-by-step explanation:
4x(12 + 8x) -9x( 12+8x) = 36x
48x + 32x^2 -108x -72x^2 =36x
32x^2 - 72^2 + 48x - 36x - 108x = 0
-40x^2 -96x = 0
find x using quadratic formular
18/44 simplified tysm
Answer:
9/27
Step-by-step explanation:
18/44=9/22
THIS IS AMSWER
Answer:
18/44 simplified is 9/22.
Step-by-step explanation:
Since both of these numbers can be divided evenly by 2, then we can divide them by 2.
18 ÷ 2 = 9
44 ÷ 2 = 22
Since 9 and 22 don't have any like factors, the simplified fraction is 9/22.
Hope this helps! :D
24) IF area of quadrant of a circle is
38.5 sq.cm then diameter is *
O 7cm
O 14 cm
0 21 cm
O None of these
Answer:
none of these
Step-by-step explanation:
I got a question ????
Answer:
it is 5.6 in the blocks
Step-by-step explanation:
41 - 13 = 28
28 divided by 5 is 5.6
hope this helps!
Jenny, Keith, and Joanna participated in a mini-
marathon. At the end of the marathon, Keith ran 3 miles
more than Jenny. Joanna ran two times more miles
than Keith. The three runners covered a total distance
of 16 miles. How many miles did each person run?
M
Answer:
Jenny 1.75 miles, Keith 4.75 miles, Jonna 9.5 milesStep-by-step explanation:
Distance per person:
Jenny - x, Keith - y, Joanna - zEquation as per given:
y = x + 3z = 2y = 2(x + 3)x + y + z = 16Substitute and solve for x:
x + (x + 3) + 2(x + 3) = 162x + 3 + 2x + 6 = 164x = 7x = 7/4 = 1.75Then
y = 1.75 + 3 = 4.75z = 4.75*2 = 9.5solve all for brainliest
hope this helps!!!!!
would this be real or imaginary?
Can help with this please,
A phone shop sells iPhones and Samsung phones in a ratio of 7:5.
Last week the shop sold 42 iPhones.
How many Samsung phones did it sell?
Answer:
30
Step-by-step explanation:
Given the ratio 7 : 5
The 42 iPhones sold relates to the 7 part of the ratio.
Divide 42 by 7 to find the value of one part of the ratio.
42 ÷ 7 = 6 ← value of 1 part of the ratio, thus
5 parts = 5 × 6 = 30 ← number of Samsung phones sold
Which table shows y as a function of x
Write an equation in point-slope form of the line that passes through the point (1, 6) and has a slope of −1/2
Answer:
y-6 = -1/2 * (x-1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope. Plug in (1,6) for (x1, y1) and -1/2 for m.
4 (x-2) = 4x+10
What is the answer
Answer:
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
4x - 8 = 4x + 10 (subtract 4x on both sides)
-8 = 10
The answer is -8 = 10 No solution
Hope this helps ya!!
what is 7+20 answer quick
Answer: 27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Add 20+7
2 4/5 divided by 2 1/5 plz answer corectly ps this is mixed number ones
Answer:
The correct answer is 1.27.
Step-by-step explanation:
Step 1: Turn the mixed numbers into improper fractions.
2 4/5 = 14/5
2 1/5 = 11/5
Step 2: Turn the improper fractions into decimals.
14/5 = 2.8
11/5 = 2.2
Step 3: Divide the fractions.
2.8 ÷ 2.2 = 1.27 when rounded to the nearest hundred.
Hope this helps! :D
Team Z can do the work in 26 days, and working together Team Z and Y can do the same work in 14 days. How many days would it take for Y alone to do the work? Round your answer to the nearest whole number.
Answer:
30 days
Step-by-step explanation:
The above question is solved as shown below:
Working together Team Z and Y can do the same work in 14 days.
1/Team Y + 1/Team Z = 1/14 days
Team Z can do the work in 26 days,
Hence:
1/Team Y + 1/26 days = 1 /14 days
= 1/ Team Y + 1/26 = 1/14
1/Team Y = 1/14 - 1/26
The Lowest Common Denominator = 182
Hence:
1/Team Y = 13 - 7/182
1/Team Y = 6/182
Cross Multiply
Team Y × 6 = 1 × 182
Team Y = 182/6
Team Y = 30.33 days
Approximately to the nearest whole number = 30 days
Therefore, Team Y alone can do the job in 30 days
Can someone help me pls
Answer:
63 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define Variables
Base b = 14 in
Height h = 9 in
Step 2: Find Area A
Substitute [Area]: A = 1/2(14 in)(9 in)Multiply: A = (7 in)(9 in)Multiply: A = 63 in²you
are studying bacteria; the
population originally started with 6000
bacteria. After
28,000 cells.
a.) Find the exponential model (equation)
2 hours,
tiere
were
Cells expected after 4
b.) How
many
hours?
* algebra 2*
Answer:
I think it's b I hope I help
PLSS HELP WITH NUMBER 6
Answer: 100oz=6.25 lb
Step-by-step explanation:
I need help which one is it?
Answer:
B. 3
Step-by-step explanation:
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
Learn more about distance formula here:
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PLEASE HELP!!!! THIS IS MY LAST QUESTION!!!WILL GIVE BRAIN}!!!
Answer:
x^2+7
Step-by-step explanation:
Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Answer:
The identity property of addition
Step-by-step explanation:
Jamal uses the steps below to solve the equation 6x – 4 = 8.
Step 1: 6x – 4 + 4 = 8 + 4( Addition step of equality)
Step 2: 6x + 0 = 12
Step 3: 6x = 12 (Identity property of Addition)
Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction
Step 5: 1x = 2
Step 6: x = 2
The that property justifies Step 3 of his work is known as the identity property of addition.
The identity property of addition can be defined as when a given number x is added to zero, the result is we obtained x which is the given number itself.
Answer:
B) the identity property of addition
Step-by-step explanation:
EDGE 2020
50 points- I'll LOVE YOU FOREVER if you can PLEASE help me with one question i need it really badddd. pls dont give wrong answers
What is the equation of a quadratic function that has a directrix of y=4 and a focus of (-2,-2)
PLEASE HELP FAST!
Solve for X
3x + 4y = -16
X = 4y
Answer:
x = -4
Step-by-step explanation:
3x + 4y = -16
X = 4y
3(4y) +4y = -16
=> 12y + 4y = -16
=> 16y = -16
=> y = -1
3x + 4(-1) = -16
=> 3x -4 = -16
=> 3x = -12
=> x = -4
Hope this helps! :3
plz mark as brainliest!
Answer: It is indeed -4.
Step-by-step explanation: Refer to the answer above me, they have everything exactly right.