Given:
A polynomial has a root of −2.
To find:
The factor that will divide evenly into the polynomial.
Solution:
We know that, if c is a root of a polynomial P(x), then (x-c) is a factor of polynomial P(x).
we have,
-2 is a root of polynomial.
⇒ (x-(-2)) is a factor of polynomial.
⇒ (x+2) is a factor of polynomial.
⇒ (x+2) will divide the polynomial completely.
Therefore, the factor (x+2) will divide evenly into the polynomial.
The factors of a polynomial divide the polynomial evenly, without remainder
The factor of the polynomial is x + 2
The root of the polynomial is given as:
[tex]\mathbf{Root = -2}[/tex]
Assume the polynomial is a function of x.
i.e. the variable of the polynomial is x
Then the root can be represented as:
[tex]\mathbf{x= -2}[/tex]
Add 2 to both sides
[tex]\mathbf{x + 2= -2 +2}[/tex]
So, we have:
[tex]\mathbf{x + 2= 0}[/tex]
Hence, the factor of the polynomial is x + 2
Read more about polynomial factors at:
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The total bill of a meal at a restaurant is 25x-115. Five friends agree to split the cost of the meal equally. What could you do to find the amount that each person must pay? Explain.
Answer:
Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
i took the test.
Answer:
Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
Step-by-step explanation:
I took the test, I got 100%
What does POI stand for? Explain what it means.
Answer:
Point of information.
Step-by-step explanation:
A point of information (POI) is a question or a statement, that is raised while a speaker of the opposing team is speaking. You are allowed to raise a POI at any time in the speech, but not during the protected time. Protected are the first and the last minute of the speech.
Hope this helped!
if y varies directly with x and x increases by 2 , is it possible to determine by how much y increases or decreases . yes or no and why
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
Where k is a constant and it can be any integer.
If y varies directly with x.
Yes, it is possible to determine by how much y increases or decreases as x increases.
If x increases by 2 then y also increases by 2.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
y varies directly with x.
This can be written as an equation,
y ∝ x
y = kx
Where k is a constant and it can be any integer.
Now,
If x increases by 2.
y = 2k
If k = positive integer
Then y will increase by 2k.
If k = negative integer
Then y will decrease by -2k
So,
Yes, it is possible to determine by how much y increases or decreases.
Thus,
If y varies directly with x.
Yes, it is possible to determine by how much y increases or decreases as x increases.
Learn more about equations here:
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#SPJ2
A scale model of a human heart is 190 Inches long. The scale is 34 to 1. How many Inches long is the actual
heart? Round your answer to the nearest whole number.
Answer:
6 inches long
Step-by-step explanation:
190/x = 34/1
34x = 190
x= 5.588235294
rounded to the nearest whole number is 6
Given the following linear equation state the slope and the y-intercept.
y = 2x - 3
m =
b =
What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified?
Answer:
1.55 x − 2.16
Step-by-step explanation:
Answer:
1.55 x - 2.16
Step-by-step explanation:
Carlos picked one of four equations in the table to solve. Carlos correctly solved the equation he chose. His answer was x = 5.
Equation 1 6x + 40 = 82
Equation 2 12x- 1 = 2
Equation 3 2x + 21 = 31
Equation 4 18x+ 9 = 13
Which equation did Carlos choose to solve?
Functions can be displayed as:
1.________________________________
2.________________________________
3.________________________________
4.________________________________
Answer:
Step-by-step explanation:
"A function can be represented numerically. "
"A function can be represented graphically."
"A function can be represented verbally. For example, the circumference of a square is four times one of its sides."
Hope this helps :D
At the store 5 lbs of apples costs $6.70. What is the constant of proportionality that relates x, pounds of apples to y, cost in dollars?
Answer:
5x=6.70y
Step-by-step explanation:
What is the value of 3(4(-2)+5x3)-2(7(-2)-3x3)
What is the equation of this line?
y=1/2x-3
y=-1/2x-3
y=-2x-3
y=2x-3
Answer:
y=1/2x-3
Step-by-step explanation:
y=mx+b where m equals the slope and b equals the y-intercept. The slope is 1/2 and the y-intercept is -3. Hope this helps!
2x = 64 (Enter the X)
Answer:
x=32
Step-by-step explanation:
Answer:
32Step-by-step explanation:
[tex]2x = 64[/tex]
Divide by the coefficient of x which is 2
[tex] \frac{2x}{2} = \frac{64}{2} [/tex]
[tex]2x \div 2 = 1 \\ 64 \div 2 = 32[/tex]
Hope it helps <3
Hellllllllp please!!!!!!!!!!!
Answer:
ok, tell me what you need, I will be glad to help!!
Step-by-step explanation:
help if you can please! if you can't please don't answer so people who know the answer can. i appreaciate every answer i get <3
Answer:
Answer is D) 15.
Step-by-step explanation:
You check this by plugging 15 into x which would make both equations equal 0.
You can also use the desmos online graphing calculator and type both equations in and then just look for the solution (the point at which they both intersect).
m+7=3+m+4
what is the value of m
Answer:
21
Step-by-step explanation:
bc 9+10
i need some helppp please
Answer:
7^12
Step-by-step explanation:
when dividing subtract the power . when multiplying add of the power.
hope this helps :]
p.s sorry if wrong
Answer:
7¹², I did all the math its right
plz help :) will mark brainliest if correct
Answer:
1st
Step-by-step explanation:
If the point of the preimage is (5,2) and the point of the image is (1,2), what RULE was applied to the preimage to obtain the image?
A) (x, y + 4)
B) (x + 4, y)
C) (x - 4, y)
D) (x, y - 4)
Explanation:
We have x = 5 turn into x = 1. We need to subtract 4 from the x coordinate to get this. Therefore x turns into x-4.
The y coordinate stays at y = 2 the entire time, so y isn't altered. We have y map to y.
Overall, the rule is [tex](x,y) \to (x-4, y)[/tex] which translates the point 4 units to the left.
SOMEONE PLEASE HELP
Answer:
15c+3b=66 and 25c+5b=110
Step-by-step explanation:
solve the inequality -3/10x -7 < 1/2
Step-by-step explanation:
-3/10x=1/2+7
=15/2
x=15/2×10/-3=-25
-25<1/2
Difference between they both was
1/2-(-25)
1/2+(25)
=51/2
=25.5
Show work on this pls
Answer:
6.29
Step-by-step explanation:
so you know that the unknown side which is 7x + 27 equals 71.
You can begin by subtracting 27 from 71 which will give you 44.
you then know that 44 = 7x
then you just have to do 44 divided by 7 to find x which isss...
look above at answer
Need a quick answer please
Answer:
21
Step-by-step explanation:
Identify the slope and y-intercept of the function y=-2x+ 1.
A. The slope is 1.
The y-intercept is (0,2).
B. The slope is 1.
The y-intercept is (0, -2).
C. The slope is 2.
The y-intercept is (0,1).
D. The slope is -2.
The y-intercept is (0,1).
Answer:
The slope is -2 and the y-intercept is 1
ANSWER = D!
Step-by-step explanation:
Please mark brainliest it is appreciated!
which equation represents the line that passes through points (5,4) and (-5,0)
Answer:
-5
Step-by-step explanation:
0-4
over
-5-(-5)
slope= -4/0
How many integers between 2020 and 2400 have four distinct digits arranged in increasing
order? (For example 2957 is one such integer)
(B) 10
(C) 15
(D) 21
e 28
Answer:
the answer is E
Step-by-step explanation:
We want to find how many integers are between 2020 and 2400 such that a criteria is meet, and the criteria is that the four digits are different and are arranged in increasing order.
We will see that there are 15 of these numbers between 2020 and 2400, so the correct option is C.
---------------------------
To count the number of digits that meet the given criteria, we first need to analyze how the criteria is.
If the numbers must be in increasing order, then the smallest number that can be in the hundreds place is 3 (the smaller integer larger than 2).
so we have:
23__
The number next to the 3 can be a 4, for example:
234_
And the final number can be any number larger than 4, so we have {5, 6, 7, 8, 9} a total of 5 options.
If instead of a 4, the number next to the 3 is a 5, we have:
235_
And the number next to the five can be any digit larger than 5, so now we have 4 options.
If instead of a 5, we have a 6, we will have 3 options to put after the 6.if instead of a 6, we have a 7, we will have 2 optionsif instead of a 7, we have an 8, we will have 1 option.Now, we can't have another number than a 3 in the hundreds place, because if we put a 4 there, we are out of the range, and 3 is the smallest digit that we can use there.
Then we already saw all the possible numbers that we can make, adding the numbers of options that we got above we will get:
5 + 4 + 3 + 2 + 1 = 15
This means that are 15 of these numbers between 2020 and 2400. Then the correct option is C.
If you want to learn more, you can read:
https://brainly.com/question/3730774
intercept form
Q (2, -4) R (8,8)
Answer:
The answer is Q(-4, 2) R(8,8)
Can someone please HELP MEEE!!!!
Answer:
176°F ..........................
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
9/5*80+32
=9*16+32
=144+32
=176 degrees F
What is the slope of this function. f(x)=-3x+5
Please Help!!!! Find two consecutive odd numbers whose product is 47 more than their sum.
7 and 9
7 x 9 = 63
7+9=16
63-16 = 47
A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following 2.3.4.5, 6, 7, 8, 9, 10, jack,
queen, king, and ace. If a card is chosen from a deck of cards, find the probability of drawing a 6
The probability of drawing a 6 is
(Type a whole number or a simplified action.)
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Probabilities.
Here, In the game of cards, we have total number of 52 cards in a deck. Since here we have to find the probability of Card 6 from the whole deck.
Let's solve,
Total Number of Cards we have = 52
Total number of 6 numbered Cards in deck = 4
Hence, probability = Favourable Outcomes ÷ Total No. of Outcomes.
So, the Probability of getting a 6 Card = 4/52
= 1/13
Hence the probability is 1/13.