Answer:
No
Step-by-step explanation:
please explain why. Thanks
Is (x-2) is a factor of x³-3x²-x +7 –
Yes No ☑Explanation :-We are given –
Polynomial function, P(x) = x³-3x²-x +7In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.Let's find value of x![tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]
Now Put x = 2 into the polynomial –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]
Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.________________________________________
8x - 2y = - 8 5x - 4y = 17
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( − 3 , − 8 )
Equation Form:
x =- 3 , y = − 8
Step-by-step explanation:
The tallest man living is 251cm. How many meters tall is he?
In meters he would 2.51 meters.
is 6:1 equivalent to 12:3
Answer: No, absolutely not,
Step-by-step explanation: 6x2 = 12, so you have to multiply by 2 on each side. 1x2=2, so the equivilent ratio is 12:2!
Answer: Nope
Step-by-step explanation: No, because you can see they multiply 1 x 3 to get to 3, but if you multiply 6 x 3, it equals 18, not 12. (6 x 2 = 12) but they have to have the same denominator and numerator to be equivalent. Therefore, no, they are not equivalent.
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 2x â€" 24. â€"4, â€"3, 2, 3, 4 Which are actual roots of f(x)?.
Rational root theorems are used to determine the potential roots of a polynomial function
The actual roots are 3 and -4The potential roots are [tex]\pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]The function is given as:
[tex]f(x) = 2x^2 + 2x - 24[/tex]
Expand
[tex]f(x) = 2x^2 + 8x - 6x - 24[/tex]
Expand
[tex]f(x) = 2x(x + 4) - 6(x + 4)[/tex]
Factor out x + 4
[tex]f(x) = (2x -6)(x + 4)[/tex]
Set to 0
[tex](2x -6)(x + 4) = 0[/tex]
Split
[tex](2x -6) = 0\ or\ (x + 4) = 0[/tex]
Make x the subject in both cases
[tex]2x = 6\ or\ x= -4[/tex]
Solve for x
[tex]x = 3\ or\ x= -4[/tex]
So, the actual roots are 3 and -4
Recall that, the function is:
[tex]f(x) = 2x^2 + 2x - 24[/tex]
For a function,
[tex]f(x) = px^n + ax^{n-1} +.......+q[/tex]
According to rational root theorem, the roots of f(x) are:
[tex]Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
The roots of 24 are:
[tex]24 = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]
The roots of 2 are:
[tex]2 = \pm1, \pm2[/tex]
So, the possible roots are:
[tex]Roots = \frac{\pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24}{\pm 1, \pm 2}[/tex]
This gives:
[tex]Roots = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24,\pm0.5, \pm1, \pm 1.5, \pm 2, \pm 3, \pm 4, \pm6\pm 12[/tex]
Remove repetitions
[tex]Roots = \pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]
Read more about rational root theorem at:
https://brainly.com/question/11015301
3 and -4 dudes and dudettes
edg2022
a water tank can hold up 80 gallons of water. if it is 40% full now. how many gallons of water does the tank contain?
Answer:
32 gallons of water
Step-by-step explanation:
If the total tank can hold up to 80 gallons of water, it is considered full when it contains 80 gallons. When the tank is 40% full, it has 40% of 80 gallons in the tank. 40% of 80 is 40/100*80=8*4=32 gallons of water.
Which equation could have been used to create this table?
y = 3x
y = x + 3
y = x + 2
y = 4x
Answer:
y = 3x
Step-by-step explanation:
i did the upgrade what do i do now?
B is the midpoint of AC Find AB, BC and AC.
Step-by-step explanation:
Since B is the midpoint of AC. So,
AB = BC
12x - 12 = 4x + 28
12x - 4x = 28 + 12
8x = 40
x = 40/8
x = 5
Now,
AB = BC = 4(5) + 28
= 20 + 28
= 48 cm
Now
AC = AB + BC
AC = 48 + 48
AC = 96 cm
Your yard is a mess, and you decide to hire a landscaper. The garden pros charges 50$ consultation fee plus 30$ per hour for the actual work. What is the total cost if your yard takes 5 hour’s to fix up
Answer:
$200
Step-by-step explanation:
$50 consutation + $150 5 hour fee.
=$200
Maths question algebra
Step-by-step explanation:
=
38.64=9.2h/2
=
38.64=4.6h
=
h = 38.64/4.6
h = 8.4
thats it
I need some help I can’t figure out the answer
Answer:
y = 65 degrees
Step-by-step explanation:
You can use a vertical angle to figure this out. Since 65 is a vertical angle to y, it equals the same amount. I have attached an image of an example of vertical angles. They are on the opposite side of the line.
Solve for x
2x+5=33
Answer: x=14
hopes this helps
Answer: your anwser is 19
Step-by-step explanation:
Add 55 to both sides.
2x=33+5
2x=33+5
2 Simplify 33+533+5 to 3838.
2x=38
2x=38
3 Divide both sides by 22.
x=\frac{38}{2}
x=
2
38
4 Simplify
2
38
to 1919.
x=19
x=19
please mark brainliest
Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answer:
30/6 is correct
Step-by-step explanation:
An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposits or withdrawals are made?
Answer:
$2,382.03
Step-by-step explanation:
Interest = Principal x Rate x Time
What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?
O A. x= -8 and x = 3
O B. x = -4 and x = 6
O C. x= -6 and x = 8
O D. x= -8 and x = 2
EUR
Answer:
A
Step-by-step explanation:
The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is 2x²+10x-48=0.
Here, x²+5x-24=0
x²+8x-3x-24=0
x(x+8)-3(x+8)=0
(x+8)(x-3)=0
(x+8)=0 and (x-3)=0
x=-8 and x=3
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
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A middle school principal is signing the diplomas of the school's graduating eighth graders.
She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per
second. If the principal signs diplomas for 60 seconds, what will the total number of signed
diplomas be?
Answer: 67 diplomas
Step-by-step explanation:
0.5 diplomas per second = 1 diploma per 2 seconds
60/2 = 30
30+37 = 67
Correct me if I am incorrect
An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.
What is an equation?
An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.
Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4
Answer:
x=5/3
Step-by-step explanation:
Answer:
-5/3 or -9/4 is the answer
Step-by-step explanation:
Just completed it
what number is 100`000 more than seven hundred two thousand eight three
Answer:
802,083
Step-by-step explanation:
Beth borrows $100 from her grandmother. She plans to pay her grandmother $15 a month until the money is paid back. Which equation can be used to determine how much Beth will owe, y , after 5 months?
Answer: The correct answer is y=15(100)−5
Step-by-step explanation:
The equation is written as y = 100 - 5x. Then the amount of money left after 5 months will be $25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Beth acquires $100 from her grandma. She intends to pay her grandma $15 every month until the cash is taken care of.
Let 'x' be the number of months and 'y' be the remaining amount. Then we have
y = 100 - 15x
The amount of money left after 5 months is calculated as,
y = 100 - 15 (5)
y = 100 - 75
y = $25
The condition is composed of y = 100 - 5x. Then how much cash left following 5 months will be $25.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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If y ♾x and y = 2 when x = 8, then y = 3 when x =
Answer:
12
Step-by-step explanation:
The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x
We have y as 3 so
3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.
x is now equal to 3/0.25 which is 12. X = 12
Answer:
Is the answer 9 for the last x
Step-by-step explanation:
hope this helps
Plz help I really need help, I’m gonna give brainlist
Answer:
angle 4 is 47 degrees....
factor the expression 9x^2+4 explain your steps if not possible explain why not
Question 16
What is the shortest distance between the line y = 2x+4 and the point at (0.0)? Round to the nearest tenth.
O A) 1.8
O B) 2.0
O C) 3.2
O D) 4.0
The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The equation of the line is:
y = 2x + 4
Or
2x - y + 4 = 0
The point is (0, 0)
As we know, the formula for the shortest distance between the line and a point:
D = |ax + bx + c|/√(a²+b²)
Plug x = 0 and y = 0
a = 2, b = -1, and c = 4
D = |2(0) + -1(0) + 4|/√(2²+(-1)²)
D = 4/√5
D = 1,78 ≈ 1.8 units
Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.
Learn more about the straight line here:
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Harry and Matthew, have 56 toys to build. harry builds three fourths of the toys, while matthew builds one seventh of the toys. How many toys are there left to build?
Answer:
i don't know
Step-by-step explanation:
Which function has the same domain as y= 2 sqrtx
Answer: the first option.
Step-by-step explanation:
Answer:
[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]
which ordered pair is a solution to The equation y=-7-3x
Answer:
can you add the options that would help
Step-by-step explanation:
vvvv
7+2x/3=5 please give me an answer as soon as you can
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
3 . 7 + 2x
-------------- = 5
3
21 + 2x
----------- = 5
3
A bag contains only dimes and quarters. There are 21 coins in the bag totaling $4.65. How many of each type of coin are in the bag
Answer:
17 quarters and 4 dimes
Step-by-step explanation:
17 · 0.25 = 4.25
4 · 0.10 = 0.40
4.25 + 0.40 = 4.65
I hope this helps!
Please solve this .
The graph shows the linear function. I hope this helps.