Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
88.98 to the nearest tenth
Answer:
89 is the answer
Step-by-step explanation:
88.98
= 89
9514 1404 393
Answer:
89.0
Step-by-step explanation:
One way to round a number is to add half the place value you're rounding to, then truncate at the desired place value.
Here, we want to round to a tenth (0.1), so we first add half that value:
88.98 + 0.05 = 89.03
Now, we throw away all digits after the tenths place.
89.0 . . . . our rounded value
4. Tabatha is dining out at Mandee's and decides to get an order of curly fries,
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does her
total bill come to?
A couple purchased a home for $225,000. At the end of each year the home increases in value by 3%.
What is the value of the home after the tenth year?
[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\longmapsto I=\dfrac{225000(3)(10)}{100}[/tex]
[tex]\\ \sf\longmapsto I=22500(3)[/tex]
[tex]\\ \sf\longmapsto I=67500[/tex]
The value of the home after the tenth year is 67500.
To find the value of the home after the tenth year?
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
Principal=P=$225000
Rate of interest=R=3%
Time=10 year
By the use of formula:
[tex]I=\frac{PRT}{100}[/tex]
[tex]I=\frac{225000*3*10}{100} \\\\I=22500*3\\\\I=67500[/tex]
So, the value of the home after the tenth year is 67500.
Learn more about simple interest here:
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#SPJ2
What is the distinguishing feature of a profession?
Answer:
Some things you must have in order to be that certain profession is:
Accounts receivable (order to cash)
Accounts payable (procure to payment)
Financial close.
Time and expense capture.
Fund accounting.
Project accounting.
Revenue recognition and management.
Step-by-step explanation:
If need anything else let me know, if not pls mark me as brainliest :)
6.8x+9.3 = -9.4+3.4(2-5x)
Answer:
22/12
Step-by-step explanation:
98-8x=14+12(2-5x)
98-8x=14+24-60x
-8x +60x=10-9
52x=88
x=22/13
Solve for x: x + 8 = 15
Answer:
7
Step-by-step explanation:
x + 8 = 15
Subtracting 8 from both sides,
x = 15 - 8
=> x = 7
How many solutions does the nonlinear system of equations graphed
below have?
Y=-1/64(x-16)^2+4 Y=-1/2x-4
9514 1404 393
Answer:
2
Step-by-step explanation:
The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.
There are 2 solutions to the graphed system of equations.
Simplify each expression -(20+d)
Answer:
-20 -d
Step-by-step explanation:
-(20+d)
Distribute he minus sign
-20 -d
Synthetic Substitution
(x+y)(x^2-xy+y^2)
Answer:
x^3 - y^3
Step-by-step explanation:
A new car has a list price of $28,500 . Suppose that the dealer markup on this car is 10%. What is the dealer's cost?
Answer: 25650
Step-by-step explanation: 10% of 28500 is well 2850
28500-2850=25650
(if only i could get good rates on my car)
A slow flow of lava is traveling at a rate
of 3 m per day. How far will the lava have traveled at the end of 30 days?
Answer:
90m
Step-by-step explanation:
Since the lava is traveling at a rate of 3m per day all we have to do is multiply 3 by 30. 3 x 30 = 90.
I hope this answer helps you out.
the lava have travelled 90 m in 30 days
mp+nq = 1 solve for q
Complete the following problem "by hand", using pencil and paper. Start with a general equation, and simplify one step at a time. Or, use the shortcut method shown in class (circling the appropriate values). You must show more than just the answer. Use correct math notation and complete math sentences. The goal is not merely to get the right answer, but to show me that you understand the correct process to arrive at the right answer.
The probability that a randomly selected student is female or left-handed is 107/137.
Probability = required outcome / Total possible outcomes
Probability that student is female or left-handed = [(probability that student is female + probability that female is left-handed)]
Therefore,
Probability that student is female :
P(Female student) = number of female / total number of student
Number of female student = 81
Total number of student = 137
P(Female student) = 81 / 137
P(Left handed student) = number of lefthanded student / total number of student
Number of left handed student = 26
Total number of student = 137= 26 / 137
P(student is female or left-handed) :
P(student is female or left-handed) :[(81/137) + (26/137)] = 107/137
Probability that student is female or left-handed is 107/137
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Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30
Answer:
the answer is 7+3(-4)(2)
the raidan measure of an angle is equal to the ratio of the legnth of its intercepted arc to the radius
A.True
B.False
Answer:
True.
Step-by-step explanation:
As long as the vertex of the angle is at the center of curvature of the intercepted arc.
how many inches is 10560 feet?
Answer:
126720
Step-by-step explanation:
make r the subject in the relation; rv= h
Answer:
step by step
take v to divide
r=h/v
The sum of three times a number, x, and 12
Answer:
the number of the x is 5 and the number of the Y is 10
Step-by-step explanation:
school
a. (2 + 4) + 5( − 1) − ( + 7)
b. (74 + 9) − 2(4 + 13)
c. (6 − − 4) + (9 + 4)
d. (5 − 2)+ 6(2 − 8) − (2 + 12)
e. (83 + 5) − 3(3 + 2)
f. (12 + 1) + 2( − 4) − ( − 15)
g. (132 + 5) − 2(2 + 1)
h. (9 − − 2) − 3
(8 + 22)
i. (4 + 6) − 12( − 3)+ ( + 2)
j. (154 + 10) − 12(4 + 4)
it takes a lady 26 minutes to travel 3 km by walking the first part at 6 km per hour and running the second part at 10 km per hour what distance does she walk
Answer:
78 meter 360meters 600 meters
-8b+x evaluate the expression 1B equals five and X equals -7
please help
Answer:
-47
Step-by-step explanation:
1. Can the numbers 12, 6, 6 be used to form the sides of a triangle? Why or why not?
Answer: No, a triangle is not possible in this case
Why not? Because the two sides 6 and 6 add to 6+6 = 12, which does not exceed the remaining side.
Refer to the triangle inequality theorem. This theorem says that for a triangle to be possible, we need these three facts to be true
a+b > cb+c > aa+c > bwhere a,b,c are the three sides of the triangle. In short: adding any two sides must be larger than the third side.
I recommend cutting out slips of paper to try making a triangle with sides 12,6, and 6. You'll find its not possible. The two smaller sides combine to perfectly line up with the larger side. The three sides form a line and not a triangle.
g The weight of golden hamsters follows a normal distribution with a mean weight of 4.3 ounces and a standard deviation of 0.25. What is the probability that a randomly chosen hamster weighs less than 4.4 ounces
Let X be the random variable representing the weight of a hamster. Transform X to Z, which follows the standard normal distribution. We have
P(X < 4.4) = P((X - 4.3)/0.25 < (4.4 - 4.3)/0.25) = P(Z < 0.4) ≈ 0.6554
Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?
Answer:
60/125 which can be reduced to 12/25
Step-by-step explanation:
Gina wins
2/5 * 2/5 = 4/25
3/5 * 2*5 * 2/5 = 12 /125
2/5 * 3/5 * 2/5 = 12/125
Fred Wins
3/5 * 3/5 = 9/25
2/5 * 3/5 * 3/5 = 18/125
3/5 * 2/5 * 3/5 = 18/125
P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125
P(2 sets) = (20 + 45)/125 = 65/125
I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.
13. The following describes the incidence of mumps in the
United States from 1984 to 2004. From 1984 to 1985, there was
no change in the incidence of mumps, staying at about 1 case
per 100,000 people. Then there was a spike in the incidence of
mumps, which reached a peak of about 5.5 cases per 100,000
in 1987. Over the next year, there was a sharp decline in the
incidence of mumps, to about 2 cases per 100,000 people in
1988. Then, from 1988 to 1989, there was a small increase to
about 2.5 cases per 100,000 people. This was followed by a
gradual decline, which reached a minimum of about 0.1 case per
100,000 in 1999. For the next five years, there was no change in
the incidence of mumps. Sketch a graph of the function.
no
DIE
Incidence of mumps
(cases per 100,000 people)
0
Graphs can be created by inputting data in MS Excel and choosing a chart type that represents the type of data to display
Please find attached the required graph of the function of the Incidence of mumps (cases per 100,000 people)
The known data for the incidence of mumps is presented in the following table;
[tex]\begin{array}{|c|cc|}Year&&Incidence \ of \ Mumps \ per \ 100,000 \ People\\1984&&1\\1985&&1\\1987&&5.5\\1988&&2\\1989&&2.5\\1999&&0.1\\2004&&0.1\end{array}[/tex]
The data from the above table can be entered in MS Excel and a graph can be plotted as follows;
Enter the above data into Excel as shown in the above tableSelect all numerical values by clicking in the top left corner, hold down the right mouse click and drag to the bottom left cornerSelect the Insert option from the Options menuIn the Charts group, click on the down arrow beside the icon for the Insert Scatter (x, y), or Bubble ChartSelect Scatter with Straight Lines and MarkersPlease find attached the required graph created with MS Excel
Learn more about plotting graphs here:
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A scuba diver is 30 feet below sea level. She then rises 30 feet. What is the scuba
diver's new position?
Answer:
The scuba diver is at sea level.
Step-by-step explanation:
Hi there!
We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.
This means she would be at sea level, not above or below.
You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.
I hope this helps!
A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest
Answer:
The side lengths are:
15, 30, and 30
Step-by-step explanation:
Let x determine the length of the smallest side length then
the other one is said to be 15 in larger so it's x + 15
finally the third size is said to be twice as the smallest one so it's 2x
The perimeter is the sum of all three sides added up
x + 2x + x + 15 = 75 add like terms
4x + 15 = 75 subtract 15 from both sides
4x = 60 divide both sides by 4
x = 15
what are formulas used to solve polynomials?
Answer:
Polynomial Equation Degree Example
Linear Equations 1 -3x + 1 = 4x + 5
Quadratic Equations 2 x^2 – 6x + 9 = 0
Cubic Equations 3 x^3 – 2x^2 + 3x = -5
Quartic Equations 4 x^4 – 2x^2 = -4
Step-by-step explanation:
Linear Equations
Linear equations are polynomial equations that have a degree of 1.
ax + b = 0
Solving for solutions for this type of equation will require us to isolate the unknown variable on one side of the equation. Master your craft in solving linear equations here.
Quadratic Equations
Quadratic equations are polynomial equations with a degree of 2.
ax2 + bx + c = 0
There are different ways we can solve quadratic equations – it mostly depends on the form of the quadratic expression on the right-hand side.
We can factor quadratic expressions and apply the zero-property.
Applying special algebraic properties such as the difference of two squares, perfect square trinomial properties, and completing the square.
Lastly, we can also use the quadratic formula to find the zeroes of quadratic equations.
Polynomial Equations (with a degree of 3 or higher)
Here’s the exciting part: what if we need to find the zeros of the solutions of a polynomial equation with degrees that are 3 or higher?
Some cubic and quartic equations can be factored by grouping and be reduced to equations with a smaller degree. There are times, however, that finding the actual factors can be challenging.
Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!
Refer to the equation y=mx+c
A garden table and a bench cost $853 combined. The garden table costs $47 less than the bench. What is the cost of the bench?
Answer:
the cost of the bench is $806
Step-by-step explanation:
853 minus 47 is 806
