Answers
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.________________________________________
Related Questions
Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-
Answers
[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]
distribute the 4 into the 3’s
multiply 5 by 3 as well as -3 and 2
add them all
Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?
Answers
Answer:
A lot
Step-by-step explanation:
Does this girl not have a credit card
The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Number of dimes = d
And number of nickels = n.
Total number of coins = 10.
Also, the value of coins = $0.70.
According to given conditions,
Since, Total number of coins is 10,
The equation can be written as,
d + n = 10
Total value of coins are = 0.70
0.1d + 0.05n = 0.70
1/10 d / 5n / 100 = 0.70
10 d + 50 n = 70
d + 5 n = 7
The required pair of equations are d + n = 10 and d + 5 n = 7.
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Find the magnitude of the following vector: v=15i + 8j
Answers
[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]
4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2
Answers
Answer:
step 1 - C.
step 2 - A.
step 3 - B.
Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.
Answers
The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
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What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now
Answers
Answer:
-4
Step-by-step explanation:
y=3x - 1 x= -1
y = 3(-1) -1
y = -3 -1
y= -4
help asappppppppppppp
Answers
Answer:
113 degrees
Step-by-step explanation:
2 and 7 are equal, so 0 and 2 will equal the same as 3 and 7, and both equal 180... Do 180-67=113
53 1/3 in the form 53^n where n is a whole number
Answers
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answers
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?
Answers
Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500
The profit made from each unit sold can be found as:
= Market price - Average cost
= 14 - 9
= $5
The total profit would therefore be:
= Profit per unit x Number of units sold
= 5 x 500
= $2,500
In conclusion, the profit per unit is $5 and the total profit is $2,500
Find out more about profit per unit at https://brainly.com/question/25531124.
Order the following numbers from least to greatest:
1/5/100 5% 0.0005 50/100 50 5/1000 500%
Answers
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
You can convert all the percentages and fractions into decimals for better comprehension.
0.0005
1/5/100 = 0.002
5/1000 = 0.005
5% = 0.05
50/100 = 0.5
50
500% = 500
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.
Answers
Answer:
The coefficient of determination!
Step-by-step explanation:
It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)
SOMEBODY HELP ME
NO LNKS PLZ
Answers
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/tex]
the range of values of x for which 11-2x>1
Answers
Answer:
(−∞,5)
Step-by-step explanation:
-2x>-10
x<5
What is the slope of a line that is parallel
and perpendicular to each line?
Answers
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
Answer 1 question. Thanks
Answers
what is the midpoint of the segment with endpoints (2,-1) and (-3,4)
Answers
Let M = midpoint of the line segment.
M = [(2 - 3)/2, (-1 + 4)/2]
M = (-1/2, 3/2)
Done.
The cost of 3 kg of apples and 6 kg of oranges is Rs 300. If the cost of 1 kg of oranges is Rs 30, find the cost of 8 kg of apples.
Answers
Answer:
Cost of 1 = 30
So cost of 8kg apples=8*30
=240
Step-by-step explanation:
Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?
Answers
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together
Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time.
Answers
Answer:
12 km
Step-by-step explanation:
20 minutes = 20 * 60 = 1200 second
distance = velocity * time
car 1 = 1200 * 20 = 24000 m = 24km
car 2= 1200 * 10 = 12000 m = 12km
so distance between them after 20 minutes is 24 -12 = 12 km
What is the domain and range of this graph
Answers
Man just pay attention in school
A teacher orders school supplies by the pound.
A flat fee of
$
15.25
plus
$
3.45
per pound of supplies ordered is added to the bill to cover the shipping cost.
The teacher budgets
$
49.75
for the shipping cost.
Which list of values best represents the entire domain for shipping,
f
(
x
)
, as a function of the number of whole pounds of school supplies the teacher can order,
x
?
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 }
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
,
13
,
14
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }
Answers
Answer: 10
Step-by-step explanation:
I did the math, also not to be rude but stop using so many 'enter' commands
Classify each of the following expressions by selecting the polynomial type.
9xy5
A)monomial
B)binomial
C)trinomial
D)polynomial
Answers
Answer:
i dont know just need points
Step-by-step explanation:
Please solve this problem please ASAP !
Answers
Answer:
3/x+2 = 4/y
then y equals
3y = 4(x+2)
y = 4x + 8 / 3
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!
Answers
Answer:
3200 meters
Step-by-step explanation:
because it is
Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
The number of laps around the track to run for 3.1 miles is 12.5.
What is unit conversion?Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
We have,
The track length = 400 meters
One lap = 400 meters.
We have,
3.1 miles
1 foot = 0.3048 meter ____ (1)
We know that,
[ 1 mile = 5280 foot ]
So,
3.1 miles = 3.1 x 5280 foot
3.1 miles = 16368 foot
From (1),
3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters
Now,
Since 400 meters is one slap.
The number of laps in 4988.9664:
Divide 4988.9664 by 400
= 4988.9664 / 400
= 12.47
Rounding to the nearest tenth.
= 12.5
Thus the number of laps around the track to run for 3.1 miles is 12.5.
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Solve for x. *
40
15
50
10
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?
Answers
PLEASE HELP GIVING POINTS
Answers
Explanation:
I NEED HELP PLEASE SHOW WORK ON A PIC
Answers
As per question
We shall proceed in graphical way
2x+4y≥8x+2y≥4--(1)And
x-4y<6--(2)Graph attached
i need help again please n thank you :)
Answers
Answer:
A solid line.
Step-by-step explanation:
The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.
Step-by-step explanation:
the answer is Dashed Line