Answer:
Yes
Step-by-step explanation:
Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.
Given:
[tex]f(x)=4x^3-5x^2-3x+2[/tex]
[tex]g(x)=x-3[/tex]
To find:
The remainder when f(x) is divided by g(x).
Solution:
According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).
Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).
Substitute x=3 in f(x).
[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]
[tex]f(3)=4(27)-5(9)-9+2[/tex]
[tex]f(3)=108-45-7[/tex]
[tex]f(3)=56[/tex]
Therefore, the required remainder is 56.
Best estimate of the total spent, not including tax 6.52 + 19.89 + 21.15
Answer:
47.56
Step-by-step explanation:
(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️
(6) 2xº = 86º ==> x = 43
(7) 108º = 3xº ==> x = 36
(8) 72º = 4xº ==> x = 18
(9) 111º = (x + 21)º ==> x = 90
Answer:
1.
2x=86
x=43
2.
3x=108
x=36
3.
4x=72
x=18
4.
x+21=111
x=90
-5 is a rational number and an integer yes or no
Answer:
Yes
Step-by-step explanation:
Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers
Which expression is a prime polynomial, x^3-1, x^2+1, x^3+1, x^2-1
Answer:
[tex]x^2+1[/tex] cannot be factored, thus it's a prime polynomial
Step-by-step explanation:
A prime number or expression cannot be factored in any factor different from 1 and the number or expression itself.
One of the following expressions is prime. The rest of them can be factored.
[tex]x^3-1[/tex] is the difference of two cubes. It can be factored as:
[tex]x^3-1=(x-1)(x^2+x+1)[/tex]
[tex]x^3+1[/tex] is the sum of two cubes. It can be factored as:
[tex]x^3+1=(x+1)(x^2-x+1)[/tex]
[tex]x^2-1[/tex] is the difference of two squares. It can be factored as:
[tex]x^2-1=(x-1)(x+1)[/tex]
[tex]\mathbf{x^2+1}[/tex] cannot be factored, thus it's a prime polynomial
2.6586 divided by 0.633
Answer:
4.2
Step-by-step explanation:
If f(x) = 2x2 + x-1, then f(-5)
= ?
Answer:
-54
Step-by-step explanation:
(-5)^2 = -25
2(-25)+ -5 +1 =-54
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5) = 2x2 + -5 -1
f(-5) = 4 - 6
f(-5) = -2
Fifty students are going on a field trip. Twenty of the students are boys. What percent of the students are girls?
Answer:
60% would be the correct answer
Step-by-step explanation:
The girls percentage among students is 60%.
What is a percentage?A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
For the given situation,
Total number of students = 50
Number of boys = 20
Number of girls = [tex]50-20[/tex]
⇒ [tex]30[/tex]
Thus, girls percentage is
⇒ [tex]\frac{30}{50}(100)[/tex]
⇒ [tex]60[/tex]
Hence we can conclude that the girls percentage among students is 60%.
Learn more about percentage here
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Define the opposite and the absolute value of -8.]
Answer:
8 because this is a negitive and the oppisite is postivie so it is 8
Step-by-step explanation:
-8 is negitive on the oppisite side of the number line is positive 8 the answer is 8.
Answer:
The opposite of -8 is 8. The absolute value of -8 is 8.
Step-by-step explanation:
Jon used 64.4 cups of flower to make 8 loaves of bread. How much flower did he use for each loaf?
Answer:
8.05 cups per loaf
Step-by-step explanation:
divide 64.4 and 8
equation
64.4÷8=8.05
Find the slope of the line passing through the points (5,6) and (5,-4).
Answer:
subtract -4-6/5-5
Step-by-step explanation:
Answer is no solution
State whether the given pairs are complementary or not complementary
<79 and <17
x+12x-13 = 0 and azo, what
is the value x+lo?
helpppppppppppppppppppp
Carson's pool is leaking at a rate of 18 gallon of water every 14 hour. If the leak continues at the same rate, how much water will have leaked from Carson's pool after 1 hour?
Answer:
1 gallon water has leaked
Step-by-step explanation:
Factorise fully
10c + 25
Answer:
5(2c+5)
I hope this helps
4х + 1 cm
3х – 2 cm
Simplified
Answer:
x= -3
Step-by-step explanation:
4x+1=3x-2
4x-3x=-2-1
x={-3}
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month
Answer:
0.982
Step-by-step explanation:
Given that:
Mean (μ) = 2325
Standard deviation (σ) = 270
From the central limit theorem ; the Distribution of 50 sample means will be normally distributed
Finding the mean to be at least $2245 per month;
x = 2245
Using the Z score relation :
Zscore = (x - μ) / (σ/√n)
Zscore = (2245 - 2325) / (270/√50)
Zscore = - 80 / 38.183766
ZSCORE = - 2.0951312
= - 2.1
P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).
A 190-second song is divided into 3 parts, the beginning, the middle, and the end. The beginning is 1/6 as long as the end. The middle part is 1/2 as long as the end. Find the length of each part.
The beginning is ____ seconds
The middle is _____ seconds
The end is ______ seconds
Answer:
The beginning part is 19 seconds.
The middle part is 57 seconds.
The end part is 114 seconds.
Step-by-step explanation:
First, you have to form expressions. Let the end part be x :
Beginning = (1/6)x
Middle = (1/2)x
End = x
Next, you have to add up altogether equals to 190 :
(1/6)x + (1/2)x + x = 190
(5/3)x = 190
x = 190 ÷ (5/3)
x = 114 s
Lastly, you have to substitute the x-value into the expressions :
Beginning = (1/6)(114) = 19 s
Middle = (1/2)(114) = 57 s
End = 114 s
Answer:
b is 19 seconds
m is 57 seconds
e is 114 seconds
Step-by-step explanation:
total = b + m + e
total = 1/6e + 1/2e + e
190 = 1/6e + 1/2e + e
190 = 10/6e
190 * 3/5 = e
114 = e
(1/6)e = b = (1/6)(114) = 19
(1/2)e = m = (1/2)(114) = 57
Answer please ? Find the perimeter of the figure ( must include all sides )
Answer:
32 ft
Step-by-step explanation:
First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22
There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.
Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).
Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.
Hope this helped!
Consider the line -7x - 5y=4.
At Sakaro's Sushi, you can get 18 wraps for $30.06 What is the price for 1 wrap?
Answer: $1.67
Let's make an equation for the problem. To find the price for each sushi roll, divide the price by the number of sushi rolls.
30.06 ÷ 18 = 1.67
Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2
Answer:
7 + 9x
Step-by-step explanation:
add 5 and 2 and 9x doesn't have a like term so it stays the same
Answer:
9x + 7
Step-by-step explanation:
Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.
RQT is a straight angle. What are mRQS and mTQS?
Somone help please
Answer:
RQS=100 & TQS=80
Step-by-step explanation:
add them and set it equal to 180 because it is a straight line
9x+1 + 7x+3 = 180
16x+4=180 (subtract 4 from both sides)
16x=176 (divide 16 from both sides)
x=11 (plug 11 into the angles)
9(11)+1=RQS & 7(11)+3=TQS
only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary
Answer:
RQS=100 & TQS=80
Step-by-step explanation:
add them and set it equal to 180 because it is a straight line
9x+1 + 7x+3 = 180
16x+4=180
16x=176
x=11
9(11)+1=RQS & 7(11)+3=TQS
you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .
hope this helped!
p.s it would be cool if you gave me brainliest.
If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?
Answer:
Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!
Step-by-step explanation:
There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36
Answer:
It is 3
Step-by-step explanation:
Answer:
It is 3
Step-by-step explanation:
whats 2 plus 2? do u know?
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answer:
I think its 3/2
hope it will help you
To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18
Answer:
Step-by-step explanation:
$46.76 for 4 pounds. What is the price per pound?
9514 1404 393
Answer:
$11.69 per pound
Step-by-step explanation:
To find price per pound, divide price by pounds:
$46.76/(4 lb) = $11.69/lb