Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2
2x3 + 9.c- 6x + 7
Answers
Step-by-step explanation:
Let's see. f(4) makes the divisor x-4
4|-2 9 -6 7
| 8 -68 296
-2 17 -74 2072
The quotient is -2x²+17x-74 with a remainder of 2072
Related Questions
Plz tell me the answer
Answers
Answer:
first is correct
second should be
4a² + 5a
i need help with this question
Answers
Answer:
its f
Step-by-step explanation:
78 is calories in 3/4. How many calories is in one cup
Answers
Answer:
208 or 104
Step-by-step explanation:
Write a linear function $f$ with the values $f(0)=8$ and $\ f(4)=20$ .
Answers
Answer:
f(x) = 3x + 8 is the required linear function.
Step-by-step explanation:
We know that the slope-intercept form of linear equation is
y = mx+b
here
m is the slope of the line, and b is the y-interceptGiven initial value
f(0) = 8
Meaning at x = 0, y = 8Thus, the y-intercept = b = 8
Also given
at x = 4, f(4) = 20
Meaning at x=4, y = 20so
substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope
y = mx+b
20 = m(4) + 8
20 = 4m + 8
4m = 20-8
4m = 12
Dividing both sides by 4
m = 3
Thus, the slope = m = 3
Now, substituting m = 3 and b = 8 in the slope-intercept of linear function
y = mx+b
y = 3x + 8
or
f(x) = 3x + 8
Thus,
f(x) = 3x + 8 is the required linear function.
VERIFICATION:
Given the linear function
f(x) = 3x + 8
plug in x = 0
f(0) = 3(0) + 8
f(0) = 8
plug in x = 4
f(x) = 3x + 8
f(4) = 3(4) + 8
f(4) = 12+8
f(4) = 20
Which of the following is the midpoint of the segment with endpoints (9,4) and (-3, 2)
Answers
Answer:
The midpoint is (3,3)
Step-by-step explanation:
Math question help please
Answers
Answer: The answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
A triangle is rotated 90° about the origin. Which rule describes the transformation? (x, y) -(-x, -y) (x, y) - (-y, x) (x, y) - (-4, -x) (x, y) (y, -x)
Answers
Answer:
(x, y) arrow (-y, x)
Step-by-step explanation:
Therefore rule of counter is (x,y) arrow (-y,x) ...we have given a triangle is rotated 90'
Solve for x.
3x2+8x = 6
(show your work)
Answers
Subtract 6 from both sides
Subtract 6 from 6 to get 0
Product of two numbers is equal to 0 if at least one of the is 0 since 8 is not equal to 0 x must be equal to 0
X=0
Fill in the box with x + - Nd divide
Answers
Answer:
[tex]3 \boxed{ + }12 \boxed{ \div }4 = 3 + \frac{12}{4} = 3 + 3 = 6[/tex]
hope this helps.
Solve and graph the inequality: -2p > -16
Answers
Answer
p>-14Step-by-step explanation:
-2p>-16p>-16+2p>-14PLEASE HELP! 100 POINTS
Answers
Answer:
(-2, 4.111)
(-1, 4.333...)
(0,5)
(1, 7)
Step-by-step explanation:
So for this, you just substitute x with a cero to obtain the x-axis.
So, (0,5)
Then, you do the same with other numbers (replace x) and get the points to later graph it.
Also, you can use desmos, it really helps
Answer:
A.
R.T.
Step-by-step explanation:
Dhte&mfjdcxxbfesfb
Patty had $3.75 in quarters and nickels. She has a total of 27 coins. How many quarters does she have?
Answers
Answer:
15 nickles 12 quarters
Step-by-step explanation:
The perimeter of a rectangular parking lot is 360 m. If the width of the parking lot is 85 m,what is it’s lenght?
Answers
Answer:
95m
Step-by-step explanation:
Formula:p=2(l+w)
360m=2(l+85m)
360m=2l+170m
360m-170m=2l
190m/2=2l/2
L=95m
Jackie expects 327 people at her banquet. She noticed that there were 48 napkins in a package. How many full packages of napkins will she need? How many napkins will be left? (only answer if you know)
Answers
Answer:
She will need 7 full packs of napkins and will have 9 napkins left over.
Step-by-step explanation:
48*7=336
7 full packs of napkins
336-327=9
9 napkins left over
Type the correct answer in each box. Use numerals instead of words.
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In
the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total
$46.21 on gas.
In the first week, Micah bought
gallons of gas
in the second week, Micah bought
gallons of gas
Answers
Answer:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Step-by-step explanation:
Answer:
Step-by-step explanation:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Please explain step by step on how to solve this.
Find the second and fifth terms of each sequence. A(n) = 22 + (n – 1)11
Answers
Answer:
A(2) = 33
A(5) = 77
Step-by-step explanation:
n is the counter of the terms.
A(n) is the nth term.
A(1) is the first term.
A(2) is the second term.
etc
To find the 2nd term, let n = 2. Then you have
A(2) = 22 + (2 - 1)11
A(2) = 22 + (1)11
A(2) = 22 + 11
A(2) = 33
To find the 5th term, let n = 5. Then you have
A(5) = 22 + (5 - 1)11
A(5) = 22 + (5)11
A(5) = 22 + 55
A(5) = 77
Answer:
A(2) = 33
A(5) = 77
simplify this expression
x⁵×x²
Answers
Answer:
Step-by-step explanation:
=x7
Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30
Answers
Answer:
sam will take the 75 pollywog pralines and divide them into the three bags
75÷3 =25
Can someone please help me on this question?
Answers
GUITAR Lydia wants to purchase guitar
lessons. She sees a sign that gives the prices
for 7 guitar lessons and 11 guitar lessons.
Write a linear equation to find the total
cost for a lessons.
Answers
The answer would be C=10d+12
Hope this helps
Have a great day/night
The total cost for the guitar lessons includes an initial cost fee which is
added to the unit cost.
Where the cost of 7 lessons is a and the cost of 11 lessons is b, we have
The total cost of lessons is; [tex]\displaystyle y = \mathbf{ \frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]Where the cost for 7 lessons is $82, and the cost of 11 lessons is $122, we have;
The total cost of lessons is; f(x) = y = 10·x + 12 and one lesson costs $22Reasons:
The general equation for the total cost of lessons is;
Let a represent the cost of 7 guitar lessons, and let b represent the cost of
9 guitar lessons, given that the cost increases linearly with the number of
lessons, we have;
The cost increase per lesson = The slope of the linear function representing the total cost of a guitar lesson
Therefore;
[tex]\displaystyle Slope = \frac{b - a}{11 - 7} = \mathbf{\frac{b - a}{4}}[/tex]
Expressing the equation in the slope and intercept form, we have;
[tex]\displaystyle (y - a) = \frac{b - a}{4} \cdot (x - 7)[/tex]
[tex]\displaystyle y = \frac{b - a}{4} \cdot x - 7 \times\frac{b - a}{4} + a = \frac{b - a}{4} \cdot x+ \frac{11\cdot a - 7 \cdot b}{4}[/tex]
[tex]\displaystyle y = \frac{b - a}{4} \cdot x+ \frac{11\cdot a - 7 \cdot b}{4} = \mathbf{\frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]
The total cost is; [tex]\displaystyle \underline{y = \frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]Where, in a similar question, a = $82, b = $122, we have;
[tex]\displaystyle y = \frac{1}{4} \cdot(122 - 82) \cdot x+ \frac{1}{4} \cdot (11\times 82 - 7 \times 122)= 10 \cdot x + 12[/tex]
y = 10·x + 12
The total cost of x lessons is; f(x) = y = 10·x + 12
The total cost of a lessons is; y = 10 × 1 + 12 = 22
The cost of a lesson, f(1) = $22Learn more about linear relationships here:
https://brainly.com/question/2154877
−7x − 13 = −48 Some one pls answer this
Answers
Answer:
-7x -13= -48 (add 13 to both sides)
-7x = -35 (divide both sides by -7)
x= 5 (is your answer)
Answer:
x = 5
Step-by-step explanation:
-7x - 13 = -48
+13 +13
-7x = -48 + 13
-7x = -35
Divide both sides by -7
x = -35/-7
x = 5
I hope this was helpful!
Could I get brainliest?
The expression 6.4d - 2 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange. How many Indian rupees do you receive when you exchange $10?
Answers
Answer:
62 Indian ruppes
Step-by-step explanation:
We were told in the question that:
The expression 6.4d - 2 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange.
The amount of Indian rupees you receive when you exchange $10 is calculated as:
6.4d - 2
d = $10
Hence:
Amount of Indian rupees = (6.4 × 10) - 2
= 64 - 2
= 62 Indian ruppes
can anyone PLEASE HELP ME with this question i really need help
Answers
Answer:
x = 49°
Step-by-step explanation:
180 = 90 + 41 + x
x = 180 - 131
x = 49
5. What's the sum of 3/8 and 1/16
Answers
Answer:
7/16
Step-by-step explanation:
3/8=6/16
6/16 + 1/16 = 7/16
I really need help with this question asap!
Answers
Answer:
the answer is C
Step-by-step explanation:
What is a fraction equivalent to -6/1
Answers
Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
explanation:
108.9 divided by 19.8=
WILL GIVE BRAINLIST
Answers
can someone pls please help me
Answers
Answer:
B
Step-by-step explanation:
We have to use the domain to see how much the line streches across the y axis
Answer:
c
Step-by-step explanation:
Pls help 10 points. ac+b=
A=3
B=5
C=1
Answers
Answer:
The answer should be 3×1+5=8
Step-by-step explanation:
prove me wrong
Answer:
8
Step-by-step explanation:
AC means 3 times 1 which is 3. B equals to 5. 3 plus 5 equals to 8.
Andre works as a waiter at a restaurant, where he earns $6 an hour plus tips. After 5 hours of work he has earned $60.20. Write the equation to represents his total earnings for his hours worked.
Answers
Answer:
Step-by-step explanation: $6 dollars times 5 equals 30.00 dollars. So Andre made 30.00 dollars from work, and 30.20 dollars.