Answers
Answer:
Step-by-step explanation:
looks to be a parabola, so use vertex mode (h, k) = (-1, 2)
y = a(x - h)² + k
y = a(x + 1)² + 2
another point on the curve seems to be (1, 6)
6 = a(1 + 1)² + 2
1 = a
y = (x + 1)² + 2
or expand for standard form y = ax² + bx + c
y = (x² + 2x + 1) + 2
y = x² + 2x + 3
Related Questions
Simplify.
57.8 – 4.07
Answers
Answer:
53.73
Step-by-step explanation:
What is the inverse of the function g(x)=7x+3/x-5?
Answers
Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7
What is the equation of this line?
a.y = 2x
b.y=−12x
c.y=12x
d.y=−2x
Answers
Answer:
Im thinking its y=-2x but Im not 100% sorry if its wrong
What is the next term of the AP √2, √8 , √18 ......?
Answers
Given terms in an AP are √2,√8,√18
√8 = √(2×2×2) = 2√2
√18 = √(2×3×3) = 3√2
The AP : √2,2√2,3√2
next term = 4√2> √(4×4×2)
⇛ √32
The next term of the AP = √32.
also read similar questions: The next term of the AP root 8, root 18,root 32 is...........
https://brainly.com/question/17287744?referrer
Which term of the AP:3, 8, 13, 18,...,is 78?
https://brainly.com/question/15380012?referrer
The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.
Consider a group of 800 newborn babies:
1. How many would you expect to weigh between 3 and 8 pounds?
2. How many would you expect to weigh less than 6 pounds?
3. How many would you expect to weigh more than 5 pounds?
4. How many would you expect to weigh between 5.5 and 9 pounds?
Please help and STEP BY STEP PLZ.
Answers
Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule
X = 5.5 + 1.6 Z
or
Z = (X - 5.5)/1.6
then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.
1.
Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]
… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]
… ≈ 0.8818
Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.
2.
Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]
… = Pr[Z ≤ 0.3125]
… ≈ 0.6227
Out of 800 babies, around 498 will weigh less than 6 pounds.
3.
Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]
… = Pr[Z > -0.3125]
… ≈ 0.6227
same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.
4.
Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]
… = Pr[0 ≤ Z ≤ 2.1875]
… ≈ 0.4857
Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.
Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?
Answers
Answer:
3 liters
Step-by-step explanation:
Help please hhjhhkkkki
Answers
Answer:
000
Step-by-step explanation:
000
Answer:
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]
Step-by-step explanation:
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = \lim_{x\to 0^+} \tan(x) - \lim_{x\to 0^+} \frac{1}{x^2} $[/tex]
and
[tex]$\lim_{x\to 0^+} \tan(x) = \tan(0) = 0$[/tex]
[tex]$\lim_{x\to 0^+} \frac{1}{x^2} = +\infty$[/tex]
Therefore,
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]
The diagram below shows triangle ABC NCDE angle B AC in angle DCA or right angle species congruent to a D proof triangle ABC is congruent to triangle CDA which roles are incorrect and explain
Answers
A. AC≅AC, Reflexive Property of Congruence
Correct. This is shared side of the triangles ABC and CDA
B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
Correct. BC and AD are parallel and AC is transversal
C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
Correct. AB and DC are parallel and AC is transversal
D. △ABC≅△CDA, SAS Triangle Congruence Theorem
Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.
Answer:
The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct
Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.
Last one is correct, it's SSA
Solve for X I will mark brainliest
Answers
EXPLANATION:
5/6x-1/10x=2/15
= (25x-3x)/30=3/15 (FINDING COMMON DENOMINATORS)
= 22x/30=2/15
= 11x/15=2/15 (SIMPLIFYING THE NUMBERS)
= x=2/15*15/11 (MOVING THE NUMBERS) (11/15 will be 15/11 when it is moved to the other side)
= x=30/165
= x= 2/11 (SIMPLIFYING)
Hope it helps!
8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?
Answers
Answer:
$200 at 5%$800 at 6%Step-by-step explanation:
Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...
0.05(1000-x) +0.06x = 58
50 +0.01x = 58 . . . . . . . . . . . simplify
0.01x = 8 . . . . . . . . . . . . . . . subtract 50
x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%
(1000-x) = 200 . . . . . . . find the amount invested at 5%
Lara invested $200 at 5% and $800 at 6%.
Find the value of t for the given values of d and r. d = 286, r = 55
Answers
Find the x-intercepts.
y =
2x2 + 5x + 2/
x2 - 4x + 3
Answers
Answer:
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]
[tex]0=(2x+1)(x+2)[/tex]
[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
solve the inequality 2x+2-6x<32
Answers
x>−15/2
15/2 is a fraction
If the letters in the word NEIGHBOR are
randomly rearranged, what is the probability
that the arrangement ends with the letter B?
Answers
basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
The point (5, -3) is a solution to which system?
A.
y = x - 8
2x + y = 7
B.
y = x + 5
y = x - 3
C.
y = x - 5
y = x + 3
D.
y = x - 8
-2x + y = 7
Answers
Answer:
A
Step-by-step explanation:
Did the test
Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answers
Answer:
Step-by-step explanation:
Hey, I just have one question, what is 8y −5 < 3?
Answers
Answer:
y < 1
Step-by-step explanation:
In order to solve this inequality, we must isolate the y variable.
First add 5 on both sides of the inequality sign:
Now you have 8y < 8.
Then divide by 8 on both sides, to get y alone:
Now you have y < 1.
Hope this helps you :)
Help me out Ik you love Algebra as much as I do
Answers
Answer:
pop
yes no total
country yes 11 38 49
no 43 8 51
total 54 46 100
Hope you understand this haha
The answer is in the file. Hope it helps.
A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.
Answers
Answer:
45+x = 71
26 players were added
Step-by-step explanation:
We start with 45 players
We ended with 71 players
We added x players
45+x = 71
Subtract 45 from each side
45+x-45 = 71-45
x =26
We added 26 players
ATQ
[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]
[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]
[tex]\\ \sf{:}\dashrightarrow x=26[/tex]
let x represent the larger number4x+(x-2)^2=16
Answers
I have no clue I just need the points have a good day tho :)
Help find the value X
Answers
Answer:
x=61
Step-by-step explanation:
2x-6+x+3=180
3x-3=180
3x=183
x= 61
Is the square root of 76 closer to the interger 8 or 9
Answers
f(x) = 1/3x + 1 if x=-18
Answers
Answer:
7
Step-by-step explanation:
1/3*(-18) + 1 = 7
Just plug in the x which is -18, and solve with a calculator.
Hope this helps!
3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.
Answers
The standard deviation of the grade points average of the college seniors is 0.57.
The given parameters:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9
The sum of the given data is calculated as follows;
∑x = 3.2 + 1.9 + 2.7 + 2.4 + 2.8 + 2.9 + 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9
∑x = 53.3
The mean of the distribution is calculated as follows;
[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]
The square of the difference between the grade point and the mean;
[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]
The standard deviation of the grade points is calculated as follows;
[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]
Thus, the standard deviation of the grade points average of the college seniors is 0.57.
Learn more about standard deviation here: https://brainly.com/question/12402189
For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?
Answers
Answer:
B is empty
Step-by-step explanation:
At a vehicle dealership 5 cars are sold for 2 trucks. Last year the dealership sold 128 trucks how many cars did they sell?
Pls help this is the hardest one i have
Answers
Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.
Answers
Step-by-step explanation:
is it like this ? no diagrams ?
which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)
Answers
Answer:
B
Step-by-step explanation:
t•t•t•t•t•t•t rewrite using exponents
Answers
Answer:
t^7
Step-by-step explanation:
there are 7 ts so it is t to the power of 7