Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation? A)-1 B)2 C)1 D)-2
Answer:
Step-by-step explanation:
We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.
y = ±|a|(x - h)² + k
where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.
The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:
0 = ±|a|(3 - 0)² + 9 and
0 = ±|a|(3)² + 9 and
-9 = ±|a|9 and
-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is
[tex]y=-x^2+9[/tex] or in more detailed form:
[tex]y=-(x-0)^2+9[/tex]
Answer:
-2
Step-by-step explanation:
The height of a baseball, in feet, is represented by this expression, where t is time in seconds. The height of the baseball after 3.5 seconds is feet.
Answer:
The height of a baseball, in feet, is represented by this expression, where t is time in seconds.
-16t2+64t+3
The height of the baseball after 3.5 seconds is ___ feet.
Step-by-step explanation:
Consider the provided expression.
The height of a baseball, in feet, is represented by this expression, where t is time in seconds.
[tex]h=-16t^2+64t+3[/tex]
To find the height of the baseball after 3.5 seconds, substitute the value of t = 3.5 in above expression
[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]
Hence, the height of the baseball after 3.5 seconds is 31 feet.
Answer:
31feetStep-by-step explanation:
The question is incomplete. Here is the complete question.
The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.
Given the height of the baseball modeled by the equation
h(t) = -16t²+64t+3
To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;
[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]
The height of the baseball after 3.5 seconds is 31feet.
Please help! Correct answer only! I've been stuck on this question for hours and I need to finish this assignment before tomorrow.
In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
The first question was answered on another page.
As for your second question, you are unfortunately not correct.
We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.
So we have...
Circuit ABDCA will cost AB+BD+DC+CA = 220+210+230+240= 900 in total (not 890). We can rule out choice A because the 890 and 900 don't match up.Circuit ACDBA will cost AC+CD+DB+BA = 240+230+210+220 = 900 in totalCircuit ABCDA will cost AB+BC+CD+DA = 220+200+230+310 = 960 in totalWe see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.
This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".
So once again, the answer for the second question is choice 2Find the slope of the line
y
=
3
4
x
− 1
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:The answer is negative three
Step-by-step explanation:
Find the slope of the line that passes through (6, 15) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=-5/4
Step-by-step explanation:
the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1
Find the 19th term of this Geometric Sequence: 3, 6, 12, 24, 48, 96, ........ *
Answer:
786432
Step-by-step explanation:keep multipying it by 2 stupid
The 19th term of the given geometric sequence is 786432.
Important information:
Geometric Sequence: 3, 6, 12, 24, 48, 96, .... .Geometric Sequence:The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex] ...(i)
Where a is the first term and r is the common ratio.
In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].
Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.
[tex]a_{19}=3(2)^{19-1}[/tex]
[tex]a_{19}=3(2)^{18}[/tex]
[tex]a_{19}=3(262144)[/tex]
[tex]a_{19}=786432[/tex]
Therefore, the 19th term of the given geometric sequence is 786432.
Find out more about 'Geometric Sequence' here:
https://brainly.com/question/1261702
Visualise 3.45 bar up to 3 places of decimal
Answer:
That would be 3.455
Step-by-step explanation:
3.45 bar means the 45 at the back is repetitive.
So we have something like;
3.454545454
Now writing this to three decimal places becomes 3.455
can someone help me solve this
Answer:
option 3
Step-by-step explanation:
[tex](\sqrt[3]{8})^{\frac{1}{4}x}=(8^{\frac{1}{3}})^{\frac{1}{4}x}\\\\=8^{\frac{1}{3}*\frac{1}{4}x}\\\\=8^{\frac{1}{12}x}\\\\=\sqrt[12]{8}^{x}[/tex]
What’s the area of this triangle??
Answer:
6
Step-by-step explanation:
In a right triangle the legs are base and height
area = (1/2) base × height = (1/2) 3 (4) = 6
Answer: 6 square units
Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.
a. 6x2 + 9x + 8x + 5
b. (3x + 1)(2x + 5)
c. x(6x + 17) + 5
d. 3x(2x + 5) + 1(2x + 5)
Answer:
b
Step-by-step explanation:
given
6x² + 17x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 5 = 30 and sum = 17
The factors are 2 and 15
Use these factors to split the x- term
6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )
= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term
= (3x + 1)(2x + 5) → b
The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.
Important information:
The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:Splitting the middle term, we get
[tex]6x^2+15x+2x+5[/tex]
After grouping, we get
[tex](6x^2+15x)+(2x+5)[/tex]
Taking out common factors, we get
[tex]3x(2x+5)+1(2x+5)[/tex]
Now, it can be written as:
[tex](3x+1)(2x+5)[/tex]
Therefore, the correct options are b and d.
Find out more about 'Factoring' here:
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What is the value of x?
20
35
60
70
HURRY PLEASE!!!!
Answer: 20
Step-by-step explanation:
Since these are vertical angles, they are equal to each other.
x+40=3x
40=2x
x=20
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!
Answer:
Y=x^2+8
Step-by-step explanation:
I need help please! I’m really confused about it
The answer is 1 and 3
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Answer: f(4) = 21
Step-by-step explanation:
2(4)^2-11
4^2 = 16
2(16)-11
Multiply 2 and 16
32 - 11
Subtract
21
Answer:
21
Step-by-step explanation:
f(x)= 2x^2-11
Let x= 4
f(4)= 2*4^2-11
= 2 * 16 - 11
= 32 -11
21
Anyone good at exterior angles of triangles ? I WILL MARK THE BRAINLIEST ANSWER
Answer:
Answer B and F are correct.
Step-by-step explanation:
[tex] angle \: 3 \: \: and \: \: \: angle \: \\ \: \: 4 \: \: \: \: are \: \: \: the \: \: exterior \\ angles \: \: \: \: in \: this \: \: traingle[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
in parallelogram ABCD, diagonals AC and BD intersect at E. Which statement proves ABCD is a rectangle?
Answer:
AC ≅ BD
Step-by-step explanation:
A parallelogram is a shape that have two pairs of parallel sides with opposite sides having the same length and opposite angles having the same size.
A rectangle is a shape that have two pairs of parallel sides with opposite sides having the same length and each of the four angles is 90°.
A parallelogram is said to be a rectangle if the diagonals of the parallelogram are of the same size (congruent). Therefore in parallelogram ABCD, ABCD is a rectangle if AC is equal to BD. where AC and BD are the diagonals
AC ≅ BD or say Measure of AC = Measure of BD diagonal.
Given that:
ABCD is a parallelogram
AC and BD intersect at E.
A parallelogram is defined as a closed geometric figure that has got 4 straight sides and opposite sides are parallel to each other.
Set of all parallelogram is superset of set of all rectangles.
There is a property about diagonals of a parallelogram that states as;
" A parallelogram is a rectangle if and only if both of its diagonals are equal in size".
Now given parallelogram is ABCD thus its diagonals are AC and BD.
Thus for ABCD to be rectangle we need:
magnitude of AC = magnitude of BC
or
AC ≅ BD
Learn more here:
https://brainly.com/question/1563728
Here is a table of values for y=
f(x).
Х
-5
-3 0 2 6 7 9 10
13
f(x) 1
2
3 0
1230
1
Mark the statements that are true.
Answer:
The true statements are
The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}
f(-3) = 2
Extra:
x -5 -3 0 2 6 7 9 10 13
f(x) 1 2 3 0 1 2 3 0 1
The graph of g(x) = (x+2)^2 is a translation of the graph of f(x) ___by___units
Answer:
The graph of g(x)=(x+2)^2 is a translation of the graph of f(x) LEFT by TWO units.
-560.114 a rational or irrational
help..................
Answer:
D
Step-by-step explanation:
Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D
pls help me 19 POINTS
Answer:
x=10
Step-by-step explanation:
x-4=6
To isolate x, you can add 4 to both sides of the equation:
x-4+4=6+4
x=10
Hope this helps!
Step-by-step explanation:
x=10
(2x -2)^-3
can anyone help me with this?
Answer: See below
Step-by-step explanation:
When you see that something is to the power of a negative number, it is another way of saying 1 over.
[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]
Can someone help me.???
Answer:
1) x =4/3 = 1 1/3
2) y = 10/3 = 3 1/3
3) y = 8
Step-by-step explanation:
y = x + 2/3
1) 2 = x+ 2/3
x = 2 - 2/3 =-6/3 -2/3
x = 4/3 = 1 1/3
2) 8/3 + 2/3 = y
y = 10/3 = 3 1/3
3) 22/3 +2/3 =y
y = 24/3 = 8
Answer:
y=z+2/3
y=2 => z=2-2/3= 4/3
z=8/3 => y= 8/3+2/3= 10/3
z=22/3 => y=22/3+2/3= 24/3= 8
what is the solution of equations graphed below?
A. (2,4)
B. (4,2)
C. (0,6)
D. (6,0)
Answer:
(4,2)
Step-by-step explanation:
The solution to the system is where the two graphs overlap
The two graphs cross at x=4 y =2
(4,2)
Answer & Step-by-step explanation:
To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.
So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).
So, the solution of the equations graphed is (4,2)
At the start of the week, Ladasha’s checking account had a balance of $34. She deposited $50 each day for three days. She made a $60 withdrawal on the fourth day. Ladasha also wrote a check for $22. Explain how you can write an expression to show the account balance at the end of the week.
Step-by-step explanation: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.
Sample Response: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.
I will be asking questions constantly to finish a class
Answer:
C
Step-by-step explanation:
so it has to go down,cross 0,-7, and then go up
y-axis is vertical
and since its a negative it would be in the lower quadrants
pls mark me brainliest
The relationship between two variables a and b is proportional. When a is 3, b is 25.5. Write an equation to represent this relation.
Answer:
y = 8.5x
Step-by-step explanation:
A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation
y = kx, where k is constant of proportionality
________________________________________________
Let the relation be
y = kx
but we have a as 3 and b as 25.5
thus
substituting value of and a and b in y = kx , we have
25.5 = k*3
=> k = 25.5/3 = 8.5
Thus, equation which can represent this relation is y = 8.5x
Brainliest?????! Answer ASAP!
Answer:
12
Step-by-step explanation:
12
5x + 3 = 7x – 1
what is x
Answer:
First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell
brainliest?
I hope you liked my answer!
urgent please help me!!!!
Answer:
D. both lines
Step-by-step explanation:
I am 100% sure! Please give brainiest!!!