Answer:
We have the points:
(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)
First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:
f(x) = f(-x)
And in this case we have:
f(-2) = 4 = f(2)
f(-1) = 1 = f(1)
Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).
Such that:
f(x) = a*x^2 + b*x + c
Now let's use the known points to find our equation, we start with (0, 0)
f(0) = 0 = a*0^2 + b*0 + c
then c = 0.
f(x) = a*x^2 + b*x
Now let's use the points (1, 1) and (-1, 1)
f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1
a + b = a - b
+b = -b
2*b = 0
Then we must have b = 0
f(x) = a*x^2
And now we can use the point (2, 4)
f(2) = 4 = a*2^2 = a*4
Then a = 1.
Our function is f(x) = 1*x^2
Please helpppp guyssssss
Answer:
the answer is B because the 30x how much they charge each hiur and the other one has a trend of 25 each hour so P charges 5 more .
To finish a certain job in 8 days, 6 workers are needed. If it is required to finish the same job in 2 days advance, how many workers have to work? *
8 points
Answer: 96 workers
Step-by-step explanation:
First you multiply 8 and 6 then by 2.
8 x 6= 48
48 x 2= 96
96 workers to help the business
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
i got negative 108
Step-by-step explanation:
i got this because just put it in a porportion like x/y = x/?
then plug in the numbers it gives you. so it should look like this 5/-45 = 12/?
then multiply 12 and -45 and then divide by 5. you should get -108
pls mark branliest
Which statement describes the solution to the system of equations?
28
| 2n+Bk = 6
|-5-20%=-15
O The system has exactly one solution.
O The system has exactly two solutions.
The system has no solutions.
The system has infinitely many solutions.
Answer:
The system has infinitely many solutions.
Step-by-step explanation:
both equations are the same
It means that we have only one equation
so, it can give many solution s
so,
The system has infinitely many solutions.
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST! :)
i need help answering this
Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? NEED HELP PLEASE
is x= 3 a solution to the equation 2(2x +1) + x = 8x +2-3x
I think u got right answer...
9. Given p = 2i + 2j + k and q = 4i + k. Find
(a) p • q
please help ASAP for 25 points and brainliest :)
12
Step-by-step explanation:
because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y over 4 x - Z
Answer:
35.786
12(3) - 3(1/2)/4(3) - 5
This is then further simplified to:
36 - 1.5/7
And when you divide 1.5 by 7, the number (rounded) is .214.
Thus, subtract, and gain the final answer of 35.786.
Hope this helps!
Step-by-step explanation:
Can you please mark me brainliest
Hey there!
12x - 3y / 4x - z
= 12(3) - 3(1/3) / 4(3) - 5
= 36 - 1 / 12 - 5
= 35 / 7
= 5
Therefore, your answer is: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
2)
Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had
he paid for the painting?
Answer:
1600 is the answer
Step-by-step explanation:
x + 0.25x= 1.25x =2000÷1.25 =1600
What is a number that when you multiply it by 4 and subtract 7 from the product, you get 25?
Answer:
8 times 4= 32-7=25
Step-by-step explanation:
The unknown number from the equation is 8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a number that when you multiply it by 4 and subtract 7 from the product, you get 25.
Let the unknown number be x.
Now, 4x-7=25
4x=32
x=8
Therefore, the unknown number is 8.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Roses need 14 times as much water as irises to bloom. if irises need 12 milliliters of water to bloom, how much water do roses needs
Answer:
168 milliliters
Step-by-step explanation:
Since roses need 14 times as much water as irises and we are given the water irises need, you multiply them together.
14•12=168I need help with this .
use the name of the graph to name the function
The sum of the angles of any triangles. Write each answer on the line provided beside the corresponding letter. Notice that angle C is in an equilateral triangle and angle D is in an isosceles triangle.
Step-by-step explanation:
A=60B= 60 c= 60 D=42E35F= 35G= 55H= 4 5 I= 45J= 1 5 k= 15 L= 75 M= 120 N= 21O= 69P= 21Q= 55R= 55s= 42T= 42u= 69Graph the line with slope −1 and y-intercept 3.
Answer:
See Attachment.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define variables
Slope m = -1
y-intercept b = 3
Step 2: Write linear equation
Substitute into general form.
Slope-Intercept Form: y = -x + 3
Step 3: Graph
Help please ... thanks
what is the value of f(x)=3x-4 if x = -4?
Answer:
-16
Step-by-step explanation:
when x = -4
f(-4) = 3(-4) - 4 = -16
Answer:
f(-4)=3(-4)-4
f(×)=48
dose the graph show a function? explain how you know
Answer:
No
Step-by-step explanation:
the graph fails the vertical line test
Emilio wants to find 2/3 of 50. explain how emilio could estimate the answer
Answer:
Emilio could estimate the answer by thinkinng of 50 as 100. Then 2/3 of 100 is 66.66666666. Divide this by 2 to get 33.33333333
Step-by-step explanation:
Hopefully this helps! I kind of just thought of what ran through my head so I would say it's an estimate.
The slope of a line is -7 what is the slope of a line parallel to it
Answer: The slope is -7
Step-by-step explanation:
When a line is parallel to another line it means that they will never meet. This requires the slope to be the same, so no matter the line, if it is parallel to a line with a slope of -7, then its slope is also -7.
The ratio of boys to girls in Ms. Graham’s class is 3 to 5. There are 20 girls in the class.
What is the total number of students in Ms. Graham's class?
Answer:32
Step for step explanation:
PLEASE HELP ME! ;)
What is the result when the number 20 is decreased by 10%?
Answer:
18 would be the number
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
I think the answer is 18
Step-by-step explanation:
20-10%=18
What is an algebraic expression to represent the perimeter of a rectangle with a width of x+5 and a length of 3x+10?
What if it like this
Answer:
The answer is 4:1
Step-by-step explanation:
16:3 goes to 4:1
HELP ME PLEASE
What is 50% of 36?
A. 9
B. 16
C. 18
D. 34
Answer:
18 C
Step-by-step explanation:
hope this helps!!! :]
Answer:18
Step-by-step explanation:
Write the equation of the line to n slope intercept from (3,5) and (-3,-1)
Answer:
The equation of your line is y=1x+2
Step-by-step explanation:
first you take y2-y1/x2-x1
y2=-1 y1=5
x2= -3 x1= 3
that gives you your slope so (-1-5)/ (-3-3) = 1
y=mx+b
mx is your slope
y=1x+b
to solve for b you input your slope and one of your points (I used (3,5)
5=1(3) +b
solve for b and you get 2
then put your mx and b into the equation of a line
y=1x+2
and thats your answer
You can also check your work by using a graphing calculator and checking that the line goes through those two points.
Input in standard form the equation of the given line that passes through (-1,-3) and (2, 1)
Answer:
y=4/3x-5/3
Step-by-step explanation:
We can use the slope formula, m=(y2-y1)/(x2-1), to find the slope.
1-(-3)/2-(-1)=4/3
We can subsitute now that we have the slope.
y=4/3x+b
-3=4/3(-1)+b
-3+4/3=b
b=-5/3
y=4/3x-5/3
Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute.
Required:
a. What is the mean time between counts?
b. What is the standard deviation between counts (in minutes)?
c. If it is an average of 3 counts per minute, find the value of x such that P(X < x) = 0.95
Answer:
a. E(X) = 0.333 minutes
b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c. 0.9986
Step-by-step explanation:
a.
To find the mean time between counts
Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.
i.e.
[tex]E(X) = \dfrac{1}{\lambda}[/tex]
[tex]E(X) = \dfrac{1}{3}[/tex]
E(X) = 0.333 minutes
b. Since X is attributed to an exponential distribution, The standard deviation between counts is:
[tex]\sigma_x = \dfrac{1}{3}[/tex]
[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c.
Given that;
The average number of count per minute = 3
The value of X such that P(X < x) = 0.95 can be calculated as;
[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]
[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]
[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]
[tex]e^{3t} = 1-0.95[/tex]
-3x = ㏑ (0.05)
-3x = - 2.9957
x = -2.9957/ -3
x = 0.9986
The value of x = 0.9986
Answer:
a) 3
b)3
c) 8.9872
Step-by-step explanation:
a) According to the question, mean is 3.
b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.
c) P[x<X]=0.95
f(x)= λ*e^(-λ*x)
∫f(x)dx, 0 to x
mean = 1/λ =3. So, λ= 1/3.
∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x
-e^(-x/3)+1 = 0.95
-e^(-x/3)=-0.05
x/3=ln(0.05)
x=ln(0.05)*3= 8.9872
Maria deposited $5,700 in an account that earns 8% simple interest. How much will be in her account after 6 years?
Answer:
,$456 paid in her account after 6 year