Is (x + 3) a factor of f(x) = 4x3 + 11x2 − 75x + 18?
Yes; the remainder is 0 so (x + 3) is a factor
No; the remainder is 234 so (x + 3) is not a factor
Yes; the remainder is 234 so (x + 3) is a factor
No; the remainder is 0 so (x + 3) is not a factor
Answer: B) No; the remainder is 234, so (x+3) is not a factor.
===============================================================
Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).
Answer:
No; the remainder is 0 so (x + 3) is not a factor
Step-by-step explanation:
5.175 into a fraction
Pls help I’ll brainlest ASAP
Luis wants to buy a skateboard that usually sells for $79.91. All merchandise is discounted by %12. What is the total cost of the skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent.
Answer:
Luis' skateboard will cost $76.32.
Step-by-step explanation:
Divide 79.91 by 100, this is what one percent is worth, .7991.
Multiply this by 12, giving you 12 percent, 9.59 (rounded to the nearest 10th).
Now subtract 9.59 from 79.91, 70.32. That is the price BEFORE tax.
Than divide 70.32 by 100, .7032.
Multiply this by 8.25, 5.80, this is tax.
Now add the price before tax, 70.32, to the tax, 5.80.
This creates 76.12. This means that the total price of the skateboard is $76.32.
Answer:
saving $10.38
tax $5.80
total pay $76.12
Step-by-step explanation:
79.91*0.12=9.59
79.91-9.59=70.32
70.32*0.0825=5.80
70.32+5.80=76.12
Substitution 8th grade question , need help. First respond gets brainiest and a thanks.
Answer:
X=5
Step-by-step explanation:
this will basically be 4x+-2(x-8)=26
= 4x+-2x+16=26
2x=10
x=5
y=5-8
-3=5-8
4X5+-2X-3=26
20+6=26
Answer:
Point Form: 5,-3
Equation Form: x=5, y= -3
Explanation:
If 4x+-2(x-8)=26
=4x+-2x+16=26
2x=10
x=
y=5-8
-3=5-8
4x5+-2x-3=26
20+6=26
What is the range of function g if g(x) = f(x) + 3
Answer:
g(x)=f(x)
f(x)=y
y+3=0
y=-3
the range of g(x) is y=-3
The range of g(x) is y=-3. The range of function is found by equating the given function with the f(x);
What exactly is a function?
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The range of function is found by equating the given function with the f(x);
[tex]\rm g(x)=f(x)[/tex]
The given function is represented as;
[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]
The range of g(x) is y=-3
Learn more about the function, refer;
https://brainly.com/question/5245372
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Find the missing side
Answer:
[tex]x = 38.77[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
In this case, it is:
[tex]sin(26) = \frac{17}{x}[/tex]
Make x the subject
[tex]x = \frac{17}{sin(26)}[/tex]
[tex]x = \frac{17}{0.4384}[/tex]
[tex]x = 38.77[/tex]
What are the next three terms in the sequence 1,7,13,19?
A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?
Answer:
$75
Step-by-step explanation:
What is the value of x? 2x + 4 = 14
Answer:
5
Step-by-step explanation:
2x + 4 = 14 ( - 4 )
2x + 10 ( /2)
x= 5
Helpppppp cupcypcpuffpfuf
A to B: 1 inch
A to F: 2.5 inches
A to E: 1.5 inches
A to D: 0.5 inch
A to C: 2 inches
A to I: 3.5 inches
A to G: 3 inches
A to H: 4.5 inches
A to J: 4 inches
A to K: 5.5 inches
(sorry, I assumed it was in inches)
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answer: 64 days
Step-by-step explanation: 1/8 every day, so he has 1 bag per 8 days, 8 bags, so 8x8 = 64 days.
. Lightning Lucy’s burnable CDs are on sale this
month for 10% off regular prices. If a pack of 10
blank CDs normally costs $15, how much do you
save per CD?
Original unit cost of CDs = $_________ per CD
10% of original cost = $_________
Original cost minus the 10% discount = $_______
Discounted unit cost of CDs = $_______ per CD
Subtract the two unit costs to find
how much saved per CD = $_________
Answer:
Original Cost = $1.50 per CD
Discount = $1.50
Discounted Cost = $13.50
Discounted Cost = $1.35 per CD
You Saved = $0.15 per CD
Step-by-step explanation:
$15/10CDs = $1.50
$15x10% = $1.50
$15-$1.50 = $13.50
$13.50/10CDs = $1.35
$1.50-$1.35 = $0.15
I NEED HELP ASAP! ILL GIVE YOU 10 POINTS FOR THE RIGHT ANSWERS PLEASE!!!!!
need answer asap
Kristin is making balloon arrangements for her birthday party.
Blue balloons come in packs of 42, red balloons come in packs of 70,
and yellow balloons come in packs of 84.
What is the greatest number of arrangements she can make and how many
of each balloon will be in each arrangement?
(*Hint: Think Greatest Common Factor and use the Ladder Method to help you.*)
What is the volume of the rectangular prism?
Answer:
[tex]216mm^{3}[/tex]
Step-by-step explanation:
HELPPP ME ASAP FOR 20 EASY POINTSSSS
The area of a floor in square yards is one-ninth the area of the floor in square feet. Write an equation representing y, the area in square yards, to f, the area in square feet.
HELP ME
Answer:
y = f/9
Step-by-step explanation:
Area of a floor in square yards = y = f/9
Area of a floor in square feet = f
The number that represents the area of the floor in square feet is 9 times the number representing the area in square yards. This makes sense because the ratio of yard to feet is 1 : 3 and the ratio of square yard to square feet is the same ratio but squared so 1 : 9.
If y represents the area in square yards and f the area in square feet.
y = f/9
Express 81−2
in the powers of 3
Answer:
3^(4)-2
Step-by-step explanation:
That's the answer
.
.
.
In ΔDEF, f = 420 cm, e = 720 cm and ∠E=136°. Find all possible values of ∠F, to the nearest degree.
Answer:
24
Step-by-step explanation:
its correct -_-
Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?
Answer:
$2,070 is how much she will use for bills.
A. 30
B.45
C. 90
D. 60
Answer:
C. 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The rectangle has a length of 5x - 10 and a width of 2x. The perimeter is 120 units. Solve for x and use it to identify the actual length and width.
Answer: x= 10
Step-by-step explanation:
l= 40
w=20
P=l+w+l+w
120=5x-10+2x+5x-10+2x
120= 14x-20
120+20=14
140=14x
x=10
Answer:
x=10
L=40
W=20
Step-by-step explanation:
P=2L+2W
120=2(5x-10)+2(2x)
120=10x-20+4x
120=14x-20
14x=140
x=140/14=10
then substitute
a party of 9 friends,
they had 34 cooked
chicken wings but then
they cooked 11 more. If
they each got the same
amount, how many
chicken wings would each
person get?
Answer:
5 chicken wings per person
Step-by-step explanation:
if they cooked 34 to begin with then added 11 so
34+11=45
then you divide 45 by 9 equals 5
I am actually in 4th grade but anyway I need see
2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?
Answer:
hello ! you multiply $36,500 by 7% and you get $25,550. add this amount to the original amount and you get $62,050.
Describe how g(x) = 4f(x) transforms the graph of the parent function f(x) = x2.
Answer:
The graph of the parent function is stretched by 4 units.
Step-by-step explanation:
Multiplication of a function by a positive scalar:
When we multiply a function by a positive scalar a, the graph of the function is stretched by a units.
In this question:
g(x) is function f(x) multiplied by 4, which means that the graph of the parent function is stretched by 4 units.
Simplify completely*****
Answer:
[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 16}{6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce: [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]Figure ABCD is a parallelogram... open photo to see question pls
Answer:
choices 2 and 5
Step-by-step explanation:
What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
More can be learned about median and quartiles at https://brainly.com/question/16169585
#SPJ1
I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
Which pair of angles are Complementary Angles?
45 degrees and 95 degrees
or
38 degrees and 42 degrees
or
30 degrees and 51 degrees
or
63 degrees and 27 degrees
Answer:
63 degrees and 27 degrees
Step-by-step explanation:
Complementary angles are when two angles add to 90 degrees.
So, we can check if these pairs add up to 90 degrees.
45 + 95 = 140
38 + 42 = 80
30 + 51 = 81
63 + 27 = 90
The only pair of angles that are complementary is 63 degrees and 27 degrees.
