Answer:
Vertex form: f(x) = – (x – 3)² – 1
vertex: (3, -1)
Step-by-step explanation:
Given the quadratic function, f(x) = -x²+ 6x -10:
where a = -1, b = 6, and c = -10
The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula: [tex]h = \frac{-b}{2a}[/tex]
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-6}{2(-1)} = 3[/tex]
Therefore, h = 3.
Next, to find the k, plug in the value of h into the original equation:
f(x) = -x²+ 6x -10
f(x) = -(3)²+ 6(3) -10
f(x) = -1
Therefore, the value of h = -1.
The vertex = (3, -1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
f(x) = a(x - h)² + k
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
If a is positive, the graph opens up.If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (3, -1) into the vertex form:
f(x) = – (x – 3)² – 1
This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.
The mass of Earth is approximately 5.97 × $10^{24}$ kilograms. The mass of Mars is approximately 639,000,000,000,000,000,000,000 kilograms. What is the mass of Mars in Scientific Notation? $10^{23}$
9514 1404 393
Answer:
6.39×10²³
Step-by-step explanation:
There are 23 digits to the right of the most significant digit (6), so it is in the number place with a place value of 10²³. The number in scientific notation is ...
6.39×10²³ . . . . kg
PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!
Answer:
3x+5y=35
Step-by-step explanation: 3 times how many pounds of apple he gets (5)and 5 times how many pounds of oranges he gets(4) equals the amount he spends on all.(3x5=15+5x4=20=35)
There is 20% of fat in a 280g 32 piece chocolate bar. How much fat is in 4 pieces?
7. Find a fraction between 1/7
and
6/7
Please answer quickly.
Answer:
[tex] \frac{2}{7} [/tex]
[tex] \frac{3}{7} [/tex]
hii! could someone please help with a legit answer 'n explanation? Im soo confused. thank you so much!
Answer:
First part = 2.
Time to land = 6 seconds.
Step-by-step explanation:
The object is at h = 0 when it land so
-5x^2 + 20x + 60 = 0
-5(x^2 - 4x) = -60
-5[(x - 2)^2 - 4] = -60
(x - 2)^2 - 4 = -60/-5 = 12
(x - 2)^2 = 16.
Solving the above:
Take the square root of both sides:
x - 2 = 4
x = 2 + 4
x = 6 seconds
Como aser conjuntos
No entiendo cuál es la pregunta, ¿qué son los conjuntos? si es la respuesta es ........
En matemáticas, un conjunto es una colección de elementos. Los elementos que componen un conjunto pueden ser cualquier tipo de objeto matemático: números, símbolos, puntos en el espacio, líneas, otras formas geométricas, variables o incluso otros conjuntos. El conjunto sin elemento es el conjunto vacío; un conjunto con un solo elemento es un singleton.
Given the following equation in point-slope form. Identify the slope and the point.
y - 5 = 3/4 (x+ 3)
M =
Answer:
point = (-3, 5)
slope = 3/4
Step-by-step explanation:
The formula for point slope is:
y - y1 = m (x - x1)
point (x1, y1)
slope m
So with your equation:
y - 5 = 3/4 (x+ 3)
point = (-3, 5)
slope = 3/4
Answer: M=0,75
Step-by-step explanation:
We have a linear function y=mx+bwhere m is slope ; by intercept Let's bring the functions to the standard form[tex]\displaystyle y-5 =\frac{3}{4} \cdot (x+3) \\\\ y=\frac{3x+9}{4} +5 \\\\ y=0,75x+2,25+5 \\\\ y=0,75x+7,25 \\\\ y=\boldsymbol {0,75}x+7,25 \\\\ \rm Then : \\\\ M=0,75[/tex]Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit
Answer:
13 sessions
The cost for either plan: $675
Step-by-step explanation:
48x + 51 = 49x + 38
51 - 38 = 49x - 48x
13 = x
write down the prime number between 60 and 70 help me please please
Step-by-step explanation:
61 and 67 are the prime numbers between 60 and 70
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
The answer can be literally anything.
Step-by-step explanation:
The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.
Let us start by examining the question. So here is the question in mathematical terms:
Given:
f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4
Find f(6).
So if we assume the function to be f(x) then we know its value at 5 points.
Let’s say f(6)=K, so now we know it’s value at 6 points.
Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.
Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.
On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.
Resource: http://mth.bz/fit/polyfit/findcurv.htm#06
It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.
What is the pattern in the reasoning?A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.
As per the question,
1=3
2=3
3=5
4=4
5=4
If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".
If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".
If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".
Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".
Hence, 6 = 3.
Learn more about the pattern of numbers here:
https://brainly.com/question/10943425
#SPJ2
Round steak costs $6.95 per pound. Sara wants to buy 9.5 pounds of round steak which she estimates will cost $54. Which statement about Sara’s estimate is true?
1. Sarah rounded $6.95 and 9.5 up. $54 is enough money to buy the steak.
2. Sarah incorrectly multiplied 9 and 6. Her estimate should be $63.
3. Sarah rounded 9.5 up to 10. Her estimate of $54 is too high.
4. Sarah rounded $6.95 and 9.5 down. Her estimate of $54 is too low.
Answer:
it is b because she multiplied 9 and 6 but what she was supposed to do was multiply 9.5 and 6.95 to get the estimated price of 63dollars
D
Which of the following number Satisoy
the equation - 6+2=-12?
a) 2
b) 6
C) -6. D) -2
Answer:
C) -6
Step-by-step explanation:
-6 + 2 = -4 not -12.
But -6 + (-6) = -12.
Hope this is what you were looking for :)
There is a raffle at a hockey game and 250 tickets are sold. Trenton bought 88 tickets. What percent of the
tickets does Trenton have?
Answer:
35.2%
Step-by-step explanation:
88/250
88x4=352
250x4=1000
352/1000=35.2/100
What is the slope of line
Answer:
4
Step-by-step explanation:
(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4
Find the area of the triangle below.
Carry your intermediate computations to at least four decimal places. Round your answer to the nearest hundredth
Answer:
20
Step-by-step explanation:
Since this is not a right angle, we can use the formula [tex]Area= Sin(y) (\frac{1}{2}ab)[/tex]
a=7
b=10
y=35
So, when we plug these values in, we get:
[tex]a=Sin(35)(\frac{(10)(7)}{2})\\\\=35sin(35)\\=20.075\\[/tex]
rounded to the nearest hundredth, I believe it's 20.
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
c. What is the Z-score for a giraffe that is 18.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
f. The 70th percentile for the height of giraffes is ___ ft.
Answer:
Median =17
Step-by-step explanation:
Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.
a) X is N(17, 0.9)
b) Median giraffe height = 17 ft since in normal distribution mean = median
c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667
d) P( x < 18) = P( Z < 56)
= 0. 2877
e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413
= 0.3851
f) 75th percentile for z is 0.675
x = 17.9 + 0.9 (0.675)
= 18.5075
discrete or continuous
i think the answer is contionous
Explain why the slope of line a is 2/6.
Answer:
The slope of a line is 2/6 because slope also means rise over run (y/x). So the line's slope is 2/6 because it goes up (rises) in the y-direction 2 units and moves to the right (runs) 6 units, from one point to another.
Step-by-step explanation:
Which of the following numbers can be exposed as repeated decimals? 5/7 4/5 7/9 5/8
A. 7/9 and 5/8
B. 5/7 and 4/5
C. 5/7 and 7/9
D.4/5 and 5/8
Answer:
C.
Step-by-step explanation:
5/7=.714285714 and so on
7/9=.777777778 and so on
___1.which of the following illustrate the union of two sets
___2.which of the following represent the intersection of two sets
___3.which of the following is the factored form x³ + 4x²+4x+16
Answer:
I am going to say 3. but not 100% if it right let me know
Pls solve.. URGENT!!! Will give brainliest.
EXPLAIN IN STEPS
links will be reported
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Length of each side of each of these three equilateral triangle is :
[tex]1.5 \: \: cm[/tex]Solution is in attachment ~
A coin weighs about 16^-2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.
A customer buys
3
shirts that cost
$
10
each. The store is having a sale for
15
%
off, and the sales tax is
6
%
. The store applies discounts before applying the sales tax to a customer’s total.
What is the customer’s total after the discount and sales tax are applied, in dollars and cents?
Answer:
4.77
Step-by-step explanation:
3 x 10 = 30
30 % 15 = 4.5
4.5 % 6 = 0.27
0.27 + 4.5 = 4.77
3. What is the function of a Golgi complex? What
is the function of the endoplasmic reticulum?
Answer:
Step-by-step explanation:
Gogli complexes packages proteins, while endoplasmic reticulums transport proteins made by the gogli complexes around the cell.
If I have 8 apples and I give Mark 4 apples , how many apples do I have left?
Answer:
four
Step-by-step explanation:
4 take away from 8 equals 4
Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4, -5)
Answer:
b=-5
Step-by-step explanation:
<3
Olympic National Park is 28.5 miles from Forks, Washington. it took the Pearce family 0.75 hours to drive there. What was their average speed, in miles per hour?
Answer:
38miles/hour
Step-by-step explanation:
Speed = Distance/Time
According to the question:
Time = 0.75hr
Distance = 28.5
Hence,
Speed = 28.5/0.75
= 38 miles/hr
Hope this helps and be sure to have a wonderful time at Brainly! :D
Cup o’ Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?
Answer:
47%
Step-by-step explanation:
.375 × .125 = .046875
rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.
move the decimal three digits to the left and you get, 47%.
Hope this helps brainlest? please
which of these points is closest to the point (7,1)?
A. (4,1)
B. (7,-1)
C. (7,4)
D. (11,1)
Answer:
7,-1 should be the answer but I am not fix ok wait for others comment
Given g(x)=-x-2 find g(-3)
Answer:
g(-3)=1
Step-by-step explanation:
substitude x=-3
g(-3)=-(-3)-2
=1
Answer:
g(-3) = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = -x - 2
Step 2: Evaluate
Substitute in x [Function g(x)]: g(-3) = -(-3) - 2Simplify: g(-3) = 3 - 2Subtract: g(-3) = 1