Answer:
One example of this can be:
P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)
Step-by-step explanation:
A quartic equation is a polynomial of degree 4.
Now, remember that for a polynomial of degree n, with leading coefficient A and zeros {x₁, x₂, ..., xₙ}
The polinomial can be written as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case we know that we have the zeros 4, 5 and 6.
Notice that this is a polynomial of degree 4 but we have 3 zeros, so one of them may be a double one, i will assume that is the 5.
And we have a leading coefficient that we do not know, let's call it A
Then we can write our polynomial as:
P(x) = A*(x - 4)*(x - 5)*(x - 5)*(x - 6)
Now we know that the polynomial passes through the point (7, 18), then:
P(7) = 18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)
With this equation, we can find the value of A.
18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)
18 = A*12
18/12 = A
(3/2) = A
Then our equation can be:
P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)
help me please, i’m confused. thanks!
Answer:
Step-by-step explanation:
Theater tickets are marked down 15%. How much are the tickets if they originally cost $55?
Why didn't some materials Sink in water and some others didn't?
Answer: Materials sink in water depending on how heavy they are. It is about how heavy something is compared to the same amount (volume) of water. This ratio of an object’s mass to its volume is known as density. Density is what really determines whether something will sink or float.
Jim and three friends shared 2 poster boards for an art project. What part of the construction paper will each friend get? *
Answer: 1/2 of a sheet
Step-by-step explanation:
2 sheets divided by 4 people
2/4
Simplify to 1/2
What is 0.0003246 expressed in scientific notation?
A.
32.46
×
10
−
5
B.
3.246
×
10
−
4
C.
3.246
×
10
4
D.
32.46
×
10
5
Answer:
B
Step-by-step explanation:
the notation answer would also be 3.246 × 10-4 i believe :)
Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 years, how much money will be in her account?
Answer:
$5829.57
Step-by-step explanation:
Annually compounding interest formula: [tex]PV(1+i)^t[/tex]
5000(1+.0525)^3
5829.567266
which rounds to: 5829.57
Write an equivalent expression for each expression.
6(12-3b)
Answer: -18b + 72
Step-by-step explanation:
6(12 - 3b)
= 6(12) + 6(-3b)
= 72 - 18b
= -18b + 72
Need help with this question thank you!
Answer:
Y= 3/5-4
Step-by-step explanation:
What is slope-intercept form? Slope intercept form is an equation for graphing. It is y=mx+b. The "m" stands for the slope, or how much coordinates it takes to move to the next point. The "b" stands for the y-intercept, or where the line is perfectly on the y-line.
Step One: The first part of the equation is the slope, so let's figure that out. Since this one a graph, it is easy to tell the slope. The points are nicely marked, so we don't have to guess which points are visible. We are going up 3 jumps and then across 5 jumps. The slope is always "rise/run" where the "rise" is the y and "run" is x. So, the slope is 3/5x.
Step Two: For the last part, we need to know the y-intercept. It is clearly shown on the graph: -4. Because it is negative, we remove the plus sign because a plus with a negative is subtraction.
Step Three: We can combine both parts and that is the answer: y=3/5x-4.
Find the area of the figure.
Answer:
353.93 ft²
Step-by-step explanation:
Step 1:
Find the area of the Trapezoid.
(a + b) ÷ 2 × height
20 + 17 = 37
37 ÷ 2 = 18.5
18.5 × 13 = 240.5 ft²
Step 2:
Find the Area of the Semicircle:
1/2 × πr²
1/2 × 3.14 = 1.57
1.57 × 8.5² = 113.43 ft²
Step 3:
Add the two areas together:
240.5 + 113.43 = 353.93 ft²
I NEED HELP!!! :((((
Answer:
it represents a polynomial
Grandma’s Anzac cookie mixture has eight parts flour and six parts sugar. If Grandma needs to make 28 kilograms of the Anzac cookie mixture for a party, how many kilograms of flour will she need?
answer:
16
step by step explanation:
flour+sugar=8+6=14
[tex]14 = 28 \\ 8 = \\ \\ 8 \times 28 \div 4 = 16[/tex]
ht
Which of the following is an equivalent expression to the expressione,
А
B
D
ANSWER QUICK PLZ
HELPPP PLSSS Choose the most appropriate translation of the English sentence.
The radius of a balloon (which depends on the amount of air inside) is 3
inches.
Answer:
A radius(radius) = 3The radius of a balloon (which depends on the amount of air inside) is 3
inches
(22) + (3x) = 4
solve for x
Answer:
-6
Step-by-step explanation:
Step One: The goal is to isolate the x. So first, we would do 4-22, which is -18. The equation is: 3x=-18.
Step Two: Lastly, we need to divide by three to completely isolate the x. This is -6.
The average speed of an airplane is 550 miles per hour Create an equation to represent the distance, d, in miles, that the airplane travels after t hours at the average speed.
Answer:
Step-by-step explanation:
1
Answer:
56
Step-by-step explanation:
i just is smart
yhhhhhhhhhhh
Circle A has a radius of 16 inches. What is the circumference?
Answer:
100.571inches
Step-by-step explanation:
Perimeter. =2πr
Perimeter. =2×22÷7×16
Perimeter. =704÷7
Perimeter. =100.571inches
PLEASE GIVE BRAINLIEST
find the value of x for both problems.
Answer:
Step-by-step explanation:
In Problem 6, 3/x = tan 30 degrees, or x/3 = 1 / (tan 30 degrees), or
x = 3 / (tan 30 degrees). Using a calculator: x = 3 / (0.449) = 6.68 units
In Problem 9, we begin by finding the length of the hypotenuse of the upper triangle: sin 60 degrees = 9√3 / hypotenuse, or
hypotenuse = 9√3/ (√3 / 2) = 9/2. Then the hypotenuse of the 45-45-90 triangle is 9/2. Thus, cos 45 degrees = x / (9/2), or
2x √3
---- = -------
9 2
9√3
Cross-multiplying, we get 4x = 9√3, so that x = -------------
4
HELP ASAP PLEASE!!!!
Answer:
Q' = (1, -5)
R' = (3, 1)
S' = (0, 0)
T' = (-2, -3)
Step-by-step explanation:
Look at the numbers of the current vertices and then change the signs of the y-coordinates around. For example, the original Q-coordinate was (1,5) so I changed the 5 to a -5 to reflect across the axis. Changing the y-coordinate sign reflects across the x-axis, while changing the x-coordinate sign reflects across the y-axis.
Cheryl's making trail mix for a friend she always uses three cups of almonds for every four cups of cashews if Cheryl wants to make a larger batch of trail mix which of the following has the same ratio of almonds cashews
A. 9 cups of almonds for every 20 cups of cashews
B. 6 cups of almonds for every 12 cups of cashews
C. 9 cup of almonds for every 12 cups of cashews
D. 12 cups of almonds for every 20 cups of cashews
Answer:
c
Step-by-step explanation:
3x3=9
4x3=12
Answer:
C
Step-by-step explanation:
3 cups of almonds / 4 cups of cashews
So to get 9 cups of almonds, we need to multiply almonds and cashews by 3
3*3 = 9 cups of almonds
4*3 = 12 cups of cashews
So the correct answer is C
Please help ASAP!
Find the area of the figure.
Number 5.
Answer:
70 ft squared
Step-by-step explanation:
Separate into rectangle and triangle then add the found areas together for total area.
rectangle...
10×4=40
triangle...
[tex] \frac{bh}{2} = [/tex]
(12×5)/2=
60/2=30
add area for rectangle and triangle...
40+30=70
A sandwich shop sells sandwiches for $3.50 each, including tax. The shop received a total of $80.50 from the sales of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, x, sold by the sandwich shop that afternoon? A. 3.50 + x = 80.50 C. 3.50x = 80.50 B. 3.50 + 80.50 = x D. 3.50 ÷ x = 80.50
PLEASE HELP HARD FOR ME BUT EASY FOR OTHERS
Jasmine had 20 dollars to spend on 3 gifts. She spent 9 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C
Answer:
5 2/6
Step-by-step explanation:
you have to mutiply
help please :) A, B , C , or D?
Answer:
the answer is 120 degree
Answer:
(A) 30 degree
Step-by-step explanation:
Just subtract 180 with 120 = 60
then add 60 and 90 = 150
after that 180 - 50 = 30
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Paper lanterns are $3.50 each. Write
a direct proportion equation using p
for paper lanterns and c for total
cost.
A. 3.50c = p
B. 3.5pc
C. 3.50 + p = C
D. 3.50p = 0
Answer:
it's probably C
Step-by-step explanation:
️♀️
Drag and drop each pair of lines to categorize them as either parallel, perpendicular, or neither.
Is the spinner shown a fair spinner? Explain
why or why not.
Can someone help me please?
Answer: pull the upper right hand corner (of the smaller box) all the way to the upper right hand corner of the bigger box, then pull the upper left hand corner of the smaller box all the way over to the other side but leave two squares on the end, this gives you 18 boxes across the top which works since 2cm is three boxes. make sure each side of the square has 18 boxes and you’ll be good
Step-by-step explanation:
What is the equation of the graph below?
y = sec(x – 4)
y = sec(x) – 4
y = sec(x + 4) + 4
y = sec(x + 4) – 4
Answer:
It's A don't listen to the other guy
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
edg 22
Work out
5.2
% of
628.55
km
Give your answer rounded to 2 DP.