Answers
Answer:
D
Step-by-step explanation:
y = a[tex]x^{2}[/tex] + bx + c is an equation for a parabola in standard form.
y = a(x - h)² + k is the equation for a parabola in vertex form.
We use y = because the parabola opens vertically.
The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.
We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.
(h,k) or in this case (1,3).
Let's substitute the vertex.
y = a(x - 1)² + 3
To find a, we use the other point (2,6) to substitute in x and y to solve.
x = 2 y = 6
6 = a(2 - 1)² + 3
6 = a(1)² + 3
6 = a(1) + 3
6 = a + 3 Subtract 3 from each side.
6 - 3 = a + 3 - 3
6 - 3 = a
3 = a
Now we have all the elements of the equation.
a = 3
h = 1
k = 3
y = 3(x - 1)² + 3
So the answer is D.
Related Questions
PLEASE HELP
| y-x| + y-1
evaluate the absolute value expression for x= -3 and y= -6
Answers
Answer:
-4
Step-by-step explanation:
So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).
So, we can just start plugging things in and simplifying, so:
| -6 + 3 | - 6 - 1 = | -3 | -7
= 3 - 7
= -4
I really need the answer. will give brainliest!
If we are driving to California. We are staring at a map. The map says for every inch in a half on the map it comes out to be 5 miles. There are 137 miles from Houston to Hufflepuffsberg. How many inches is it from Houston to Hufflepuffsberg.
Answers
Answer:
The answer is 27.4 I'm bad at math and I tried so hope is correct
Wright the number 972,274 in words
Answers
Answer:
Nine hundred seventy two thousand two hundred seventy four. Hope this helps
Xis all of the following except
a term
a variable
a constant
a an expression
Help I’ll give brainliest to the best answer
Answers
Answer:
a variable
Step-by-step explanation:
a variable.
can a line and a point lie on the same plane.
Answers
Answer:
yes
Step-by-step explanation:
3 + |-7| I would like some help
Answers
Answer: The answer will be -4
Write in slope intercept form:
(-5,-11) and (-2,1)
Answers
Answer:
y = 4x + 9
Step-by-step explanation:
First, find the slope of the line, which is the change in y/the change in x:
(-11-1)/(-5-(-2)) = -12/-3 = 4
That leaves you with the equation:
y = 4x
But notice, when x = -2 in the equation, y = -8, but we want it to be 1, so we add 9 to the end of the equation:
y = 4x + 9
I hope this helped.
Answer:
Step-by-step explanation: -15/9 my teacher told me
Construct a 2x2 matrix A= aij. whose elements are given by
a = |-3i + j| plz give step by step answer
Answers
I can't find the right answer
Answers
Answer:
[tex]x<-10\quad \mathrm{or}\quad \:x>10[/tex]
Step-by-step explanation:
[tex]x^2 > 100\\\\\mathrm{For\:}u^n\:>\:a\\\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\:<\:-\sqrt[n]{a}\:or\:u\:>\:\sqrt[n]{a}\\\\x<-\sqrt{100}\quad \mathrm{or}\quad \:x>\sqrt{100}\\\\\sqrt{100}=10\\\\x<-10\quad \mathrm{or}\quad \:x>10[/tex]
Elliot spent 3/5 of his money on stereo equipment and 1/6 of the money he had left on lunch. He left the house with $24. How much money did Elliot return with?
Answers
$24/6 = $4 x 1 = $4
$14.4 + $4 = $18.4
$24 - $18.4 = $5.6
Which statements are true 25 (0)=25, 25(1)=25, 25+0=25, 25+1=25
Answers
25+0=25
Those are the only ones that are true
3 - +4 - = ?
4 4
OA.
3
7 -
4
OB.
4
3
8
OC.
8
OD. 7
Answers
You just simplify it
h-z=3
-3h + 3z = 6
I’ll give brainliest.
Answers
Answer:
-3h+3z =6
multiply by-1
3h-3z=-6
3(h-z)=-6
3(3)=-6
9=-6
9+6
15
Mr. Nell is painting his coffee table. The micture that he adds to the paint is made of 5/6 cup
baking soda for every 5 tablespoons of water.
What is the rate in cups of baking soda per tablespoon of water?
Answers
Answer:
1/6 cups
Step-by-step explanation:
5/6 /5 = 5/6 divided by 5
= 5/6 x 1/5
= 1/6
so your answer is 1/6 cups of baking soda per tablespoon of water
yw ;)
The rate for cups of baking soda per tablespoon of water is 1/6.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mixture that he adds to the paint is made of 5/6 cup baking soda for every 5 tablespoons of water.
Hence, The rate for cups of baking soda per tablespoon of water is,
⇒ 5/6 ÷ 5
⇒ 5/6 × 1/5
⇒ 1/6
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
Some of the other shades of paint are more yellow than others. Which mixture(s) are the most yellow? chiesta haces of this paint are more yellow Explain your reasoning.
Answers
9514 1404 393
Answer:
2, 5, 6
Step-by-step explanation:
If we number the mixes 1-6 from top to bottom, then the fraction of the total that is yellow is ...
1. 1/(3+1+2) = 1/6
2. 2/(5+2+3) = 2/10 = 1/5
3. 2/(6+2+4) = 2/12 = 1/6
4. 4/(12+4+8) = 4/24 = 1/6
5. 6/(15+6+9) = 6/30 = 1/5
6. 8/(20+8+12) = 8/40 = 1/5
Mixes 2, 5, and 6 are the most yellow. (1/5 > 1/6)
is 78 closer to 77.54 or 77.6 closer to 77.54
Answers
?
Which expression is equivalent to 9x5 +3x(4x4–3x2)
Answers
Answer:
[tex]30x^2+45x[/tex]
Step-by-step explanation:
The answer is
[tex]48^{9} - 72x^{7} +36x^{5}[/tex]
use the distribution property to write the problem without parenthesis, 4 (2x+11) - 8x+36
Answers
Answer:
80
Step-by-step explanation:
8x+44-8x+36
8x-8x+44+36
44+36
80
Fill in the missing num W + 2 7 9 2
Answers
Answer:
What are you asking? What does it equal? W+2792=??
Answer:
there is no number that could fit, it actually could be anything, I think that there is a part of the problem not there that is a expression to solve that you need a equation
Step-by-step explanation:
How many millimeters are in 90 ounces?
Answers
Answer:2661615
Step-by-step explanation:
29573.5 is how many millimeters are in an ounce multiply that by 90 and you get 2661615
hope this helps
Answer:
you used two different types of things ounces measure mass and millimeters measure length
but I used google and it said 2.662e+6
Five times of a positive integer is less than twice its square by 3. Write the equation that characterizes this number. (use x for the positive number)
Answers
Answer:
2x² - 5x - 3 < 0
let the positive integer be 'X'
5x < 2x² - 3
-2x² + 5x + 3 < 0
The equation is 2x² - 5x - 3 < 0
if someone can anwser this
Answers
Answer:
944
Step-by-step explanation:
Answer:
944
Step-by-step explanation:
L*W*H then add them
a) Work out the value of 5^2-1^5 x 2^4
Answers
Answer: 9
Step-by-step explanation
If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC
Answers
The answer is 21.
First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.
Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in probability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.
Answers
Answer:
The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
Compute the probability that they will teach different courses as follows:
[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]
Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Rewrite as a square or a cube:
0.001
Answers
Answer:
10^-3*1/3 = 10^-1=0.1
What is the following figure?
8 m
5 m
5 m
8 m
rhombus
rectangle
trapezoid
parallelogram
Answers
Answer:
rhombus
Step-by-step explanation:
you can't see what shape that is but Im doing this assignment right now I know what it looks like
what is d divided by equals
Answers
Answer: X and Y
Step-by-step explanation: IF I REMEMBER dont get mad if you don’t get it right
Consider the function f(x) = -2x+15 . What is the value of y when x = 3?
Answers
Answer:
f(3) = 9
Step-by-step explanation:
Step 1: Define
f(x) = -2x + 15
x = 3
Step 2: Substitute and Evaluate
f(3) = -2(3) + 15
f(3) = -6 + 15
f(3) = 9
0.42 - 4) = 0.24 + 7)
Answers
Answer:
im sorry if not but i think its 7.24
Step-by-step explanation: