Answers
Answer:
Second Choice
Step-by-step explanation:
The vertex form can be expressed as:
[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]
We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:
[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]
Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.
[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]
Therefore a = 2.
Hence:-
[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]
Related Questions
Need help with this one please explain how you got it
Answers
Answer:
B) 40 feet
Step-by-step explanation:
Essentially, there are two similar right triangles in the given problem.
base_L = Base [larger triangle] = 60 ft
base_S = Base [smaller triangle] = 6 ft
x = leg (larger triangle)
y = leg (smaller triangle) = 4 ft
Using the given proportion to solve for the value of x:
[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]
[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]
6x = 240
Divide both sides by 6:
6x/6 = 240/6
x = 40
c: how long does it take the snail to crawl 85 inches
NEED ANSWER ASAPP PLSSS
INCLUDES PICTURE OF GRAPH
Answers
Answer:
8 minutes, 30 seconds, by the look of the graph.
Step-by-step explanation:
At a distance of 10 inches, 1 minute has passed.
So multiply that by 8.5, and you have 85 inches travelled over 8 minutes, 30 seconds.
8mins and some 30secs according to the graph
Use the spinner below to find the probability of getting the following after 1 spin
Answers
Answer:
.0833 or 83.3333
Step-by-step explanation:
1/12=.0833
The probability of number greater than [tex]12[/tex] is zero.
What is probability ?Probability is the ratio of number of favorable outcome to the total number of outcome.
We have,
Total number of outcome [tex]=12[/tex]
And number of greater than [tex]12[/tex] [tex]=0[/tex]
So,
Probability [tex]=\frac{Number\ > \ 12}{Total\ number}[/tex]
[tex]=\frac{0}{12}[/tex]
Probability [tex]=0[/tex]
A probability of [tex]0[/tex] means that the event will not happen.
Hence, we can say that the probability of number of greater than [tex]12[/tex] is zero.
To know more about Probability click here
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What is the distance between points B and C
Answers
Answer:
5
Step-by-step explanation:
I hope this helps
yea xxx
How many groups of 2/3 are in 3/5
Answers
To find the answer, we will need to divide 3/5 by 2/3.
3/5 / 2/3
3/5 x 3/2
9 / 10
There are 9/10 groups of 2/3 in 3/5.
Hope this helps!! :)
I’m don’t understand stand these that well, can someone please explain step by step to get marked.
Answers
Answer:
10
Step-by-step explanation:
press calculate
pls give brainliest
Answer: 10
Step-by-step explanation:
The sign √ means square root. Squaring is like multiplying a number by its own self again ( for example, x times x is equal to x squared). A square root is like dividing the square by its own self ( for example, √x^2 is equal to x ).
The square root of 100 is 10, since 10 squared is equal to 100.
What value of x is in the solution set of -5x-15x> 10+20x
Answers
Need Help ASAP! Not too hard
Answers
Answer:
Step-by-step explanation:
B
Acellus
16 m
С
А
20 m
Find the area of AABC.
[?] m
Enter
Answers
Answer:
area of triangle = 1/2×base×height
=1/2×20m×6m
= 20m×6m=120square metre
Gus wrote the following riddle: I am a number between 30 and 60. My ones digit is three less than my tens digit. I am a prime number.
What number does Gus’ riddle describe?
Answers
Answer: 41
Step-by-step explanation:
Someone pls help- am struggling.
Answers
500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
Nia answered 18 of the 40 questions on the common assessment correctly. What percent of the questions did she answer correctly? What are you looking for? Circle one: Part whole percent
Answers
Answer:
Nia answerd 45% of the questions correctly.
Write the equation in point slope form
Answers
Answer: X=4/2x+3
Step-by-step explanation:
I just know
y-4 = (1/2)(x -2).
The equation for point slope form is
y - y1 = m(x - x1)
The point on the graph is given as (2,4) so you can substitute that into the equation as
y - 4 = m(x - 2)
M represents the slope.
By looking at the graph, you can see that the y-intercept is (0,3). The slope is change in y / change in x or the rise/run. From (0,3) to (2,4).
Change in y = 4 - 3 = 1
Change in x = 2 - 0 = 2
Therefore the slope = 1/2 = m.
Substitute m in for the slope and the final equation in point slope form would be y-4 = (1/2)(x -2).
Which of the strategies below could help you find 72-25? Select all the correct answers.
Answers
Step-by-step explanation:
25+5=30
30+40=70
70+2=72
You save $3,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?
A)$21.02
B)$28.59
C)$27.01
D)$23.56
Answers
Answer:
I think it would be this
Step-by-step explanation:
3,032,644 dollars left over. I am very sorry if I am wrong.
811570 rounded to nearest hundred thousand
Answers
Answer:
800,000
Step-by-step explanation:
8 is in the hundred thousands, 1 is in the ten thousands, 1 is in the thousands, 5 is in the hundreds, 7 is in the tens, 0 is in the ones place
It rounds down as its nowhere near 900,000 which changes all its digits.
I have more question then this
Answers
9514 1404 393
Answer:
A. CCW 180° about the origin
Step-by-step explanation:
Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...
reflection across the originrotation 180° CW about the originrotation 180° CCW about the originreflection across the x-axis followed by reflection across the y-axisreflection across the y-axis followed by reflection across the x-axis.what is 5/8x+4=3/8x+12
Answers
Answer:
x = 32
(The answer should be 32 if we are solving for x)
-3x-5y=-7
Find slope of perpendicular line
Answers
Answer:
5/3
Step-by-step explanation:
We need to rewrite the equation in slope intercept form
y =mx +b where m is the slope
-3x-5y = 7
Add 3x to each side
-5y = 3x+7
Divide by -5
y = -3/5 x -7/5
The slope of this line is -3/5
Perpendicular lines have slopes that are negative reciprocals
-1 / (-3/5)
5/3
The slope of the perpendicular line is 5/3
Write numbers in the number grid to make it correct 4+?+9+?+?= 35
Answers
Hi
Answer:
4+5+9+8+9=35
Step-by-step explanation:
nvm about that
Answer:
Below.
Step-by-step explanation:
4 + 5 + 9 + 8 + 9 = 35.
In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:
A) create a relative frequency table of this situation.
Answers
Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
Simplify 72y^4/8y^7
72y^4
———
8y^7
Answers
Step-by-step explanation:
hi hi hi nice to meet you meet you
1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?
2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?
3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.
Answers
Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
-------------
A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
-------------
Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
Complete the following.Write the answers in your journal
I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium
Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____
Answers
Answer:
1.FILTER WATER 2.FILTER CLOTH
3.LIQUIDS
4.INSOLUBLE
5.DIFFERENCE
A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)
Answers
The length of the shadow, h, to the nearest tenth of a foot is 86.6feet
To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA
The required setup will give a right-angled triangle.
If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet
The angle of elevation is 60 degrees
The length of the shadow will be the hypotenuse of the triangle as shown:
According to the trigonometry identity:
[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]
Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet
Learn more here: https://brainly.com/question/15580615
Use a truth table to determine whether to two statements are equivalent
Answers
Answer:
equivalent yan kasi pareho lang den nmn letters lng naiba
Solve pleaseee !!!..
Answers
Answer:
x=76
Step-by-step explanation:
#CarryOnLearning
Answer:x=76
Step-by-step explanation:
Distribute: -4(x-26)=-200 -4x + 104 - 104 = -200
Subtract 104 from both sides of the equation
-4x + 104-104 = -200-104
Simplify
Subtract the numbers
-4x +104-104=-200 - 104
-4x=-200 - 104
Subtract the numbers
-4x = -200 - 104
-4x = -304
-4x = -304
Solution
x=76
Express the following quentitis as ratio 10k to 50k
Answers
Answer:
watch me whipzdudbbd iv ex
Combine the like terms to create an equivalent expression:
−
2
k
−
(
−
5
)
+
1
Answers
Answer:
-2k + 6
Step-by-step explanation:
We start out with the expression -2k - (-5) + 1. We should first distribute the negative outside of (-5), which gets us to 5: -2k + 5 + 1. Now, we can combine like terms with 5 and 1 to get 6, giving us a final answer of -2k + 6. We can't simplify any further since there aren't any like terms.
If you have any questions or need clarification on anything, let me know!
Let two cards be delt successively without replacement from a standard 52 card deck find the probability of the event. the first card is a ten and the second is a face card.
HELP PLEASE!!!!
Answers
Answer:
well for the 10 it is a 4/52 chance and for face cards, 16/52
Step-by-step explanation: