Step-by-step explanation:
Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).
y = ( x − 1) 2 + 3
Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.
By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.
1 = a
1 = h
3 = k
Becuse the value of a is positive, the parabola opens up! (A parabola is the U shaped line in a graph, so that opens up.)
Now, we find the vertex (h,k)
which is (1,3)
Now we find the p from the vertex to the focus. (vertext the top, focus one of the points.)
Follow this formula to find the distance from the vertex to a focus by using this formula
1/4a.
Now we just gonna substitue 1 for a, since we know that 1 equals a above ^
1/4 * 1
Solving that, we got a nice little 1/4.
Next we find the focus
"Find the focus.
The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
(h,k+p)
Substitute the known values of h, p, and k into the formula and simplify.
(1,134)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=1
Find the directrix.
y=114
Use the properties of the parabola to analyze and graph the parabola.
Direction: Opens Up
Vertex: (1,3)
Focus: (1,134)
Axis of Symmetry: x=1
Directrix: y=114
Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.
xy−1704132437
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex: (1,3)
Focus: (1,134)
Axis of Symmetry: x=1
Directrix: y=114
xy−17041324"
(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)
Give the restrictions on the domain (the excluded values) of
5x-10/5x2 +5x-30
Answer: x = -3 and x = 2
Step-by-step explanation:
Aaron has 13 dimes and 10 quarters. Emily has the same amount of money as Aaron, but she only has nickels and dimes.
If Emily has 46 coins, how many nickels and dimes does she have?
A
7 nickels; 41 dimes
B
16 nickels; 30 dimes
C
30 nickels; 16 dimes
D
41 nickels; 7 dimes
Answer:
B
Step-by-step explanation:
Aaron has $3.80. Emily has 16 nickels and 30 dimes, which equals $3.80.
Please help!
Due soon...
Answer:
1: 233 m
2: 466 m
3: 241.87 m
4: 483.72
Step-by-step explanation:
The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case, PQ and RS).
1: 105^2 + 208^2 = 54289, square root of 54289 = 233
2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466
3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87
4: Multiply by 2 to get 483.72
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
B. y = 85x
Step-by-step explanation:
First, find the rate of change of the graph:
Rate of change = change in y/change in x
Using two points (0, 0) and (4, 300),
Rate of change (m) = (300 - 0)/(4 - 0) = 300/4
Rate of change (m) = 75
Compare this with the rate of change of the given equations in the options.
✔️Option A: y = 65x + 100
The rate of change of this equation is 65, which is less than the rate of change of the given graph (75)
✔️Option B: y = 85x
The rate of change of this equation is 85, which is greater than the rate of change of the given graph (75)
✔️Option B: y = 50x + 150
The rate of change of this equation is 50, which is less than the rate of change of the given graph (75)
✅Therefore, the equation that has a greater rate of change than the one shown in the graph is y = 85x
ect the correct answer.
Which of the following graphs represents the equation below?
It’s all there in the picture will give brainlest to correct answer
Answer:
1. 10
2. 1 and 18
3. 17
4. 8
Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?
Answer:
17.74%
Step-by-step explanation:
The formula for percent error is given as:
|Estimated value - Actual value|/Actual value × 100
From the above question:
Estimated value = 73 feet
Actual value = 62 feet
Hence,
Percent error = |73 - 62|/62 × 100
= 11/62 × 100
= 17.741935484%
Approximately , percent error = 17.74%
Therefore, the percent error of Andy's estimation is 17.74%
Anyone help me with this please!!
Help please ASAP
2. A birthday present is placed into a rectangular
shoe-box. The box has the following dimensions: 3
inches by 7 inches by 8 inches. What is the minimum
amount of wrapping paper needed to cover the
entire box?
a.
146 sq. in.
b.
101 sq. in.
C
202 sq. in.
d.
168 sq. in.
Answer: 168 sq. in.
Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168
Will mark brainlist for correct answer
Answer:
I would say not here D.
Step-by-step explanation:
Because I found the area of the base first *the square* which is 4 x 11 = 44 and the rectangles are 4 x 14= 56 x 2 since there are 2 rectangles is 112. Then the triangles are 11x14=154/2=77 x 2 since there are 2 triangles is 154. Then we add up all those numbers 44+112+154= 310 not 308 *C*.
Hope I was able to help!
Find the volume of the solid.
The volume of the solid is____
cubic centimeters.
In 1990, the population of the U.S. was about 250 million and was growing exponentially
at a rate of about 1% per year. At this rate, in what year will the population have
doubled?
a. 2080
b. 2070
c. 2060
d. 2050
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 250 million
Future Value (FV)= 500 million
Growth rate (g)= 1% per year
First, we need to calculate the number of years required for the population to double:
n= ln(FV/PV) / ln(1+g)
n= ln(500/250) / ln(1.01)
n= 69.66 = 70 years
It will take 70 years for the population to double.
HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.
Answer:
x = 3 ; y=2
Step-by-step explanation:
to simplify the work we can build a system of two equations
2x+3 = 3y+3
x = y+1
we can now substitute the value of x in the first equation
2(y+1)+3 = 3y+3
2y + 2 + 3 = 3y+3
2y + 5 = 3y+3
y = 2
now we can subisitute the value of y in the first equation
x = 2 + 1 = 3
Verify
2(3)+3 = 6+3 = 9
3(2) + 3 = 6 + 3 = 9
3
2+1 = 3
Write 9x - 8 as a verbal expression
Please the fast as possible!
Answer:
8 subtracted from the product of 9 and x
Hope this helps!
Please help meee
plz tell me where the put the points also and what to write
Step-by-step explanation:
number of 1 2 3 4
pages
number of 4 8 12 16
photos
i hope it helps
3 dogs plus 5 cats cost $365. 5 dogs plus 3 cats cost $491. What is the cost of one cat?
Answer:
Solution given;
let dogs be d and cats be c.
according to the question
3 d +5 c =$365........[1]
5d+3c=$491.............[2]
By doing elimination method
multiplying equation 1 by 5 and equation 2 by 3 and subtracting
we get
15d+25c=$365*5
15d+9c=$491*3
- - -
____________
;16c=$352
c=[tex] \frac{352}{16} [/tex]=$22
the cost of one cat is $22.
B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?
Answer:
ayaw pag salig og brainly lods
Which pair of segments must be parallel? A. AB and CD B. AB and GH C. CD and EF D. EF and GH
Answer:
G and H
Step-by-step explanation:
though with that being said i may be wrong (im not scamming like other users with random answers im being for real)
Help with math I am bad at it so if you could help me thank you
Answer:
The probability that Tara will select a blue marble from each bag is [tex]\frac{2}{27}[/tex].
Step-by-step explanation:
Since there are 15 marbles in the first bag and 9 marbles in the second bag, that means there are a total of 135 different combinations of one marble from each bag. Since there are 5 blue marbles in the first bag and 2 blue marbles in the second bag, there are 10 different possible combinations of one blue marble from each bag. The probability that Tara will select a blue marble from each bag can be represented as [tex]\frac{10}{135}[/tex] or [tex]\frac{2}{27}[/tex].
solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6
Andrew jogs 4.2 miles every day. How many miles does he jog in five days?
Answer:
21 miles
Step-by-step explanation:
he runs 4.2 miles x 5 days
Andrew jogs 4.2 miles every day. Andrew runs 21 miles in five days.
We have given that,
Andrew jogs 4.2 miles every day.
We have to determine how many miles he jog in five days.
What is the distance?
The extent or amount of space between two things, points, lines, etc. · the state or fact of being apart in space, as of one thing from another remoteness.
he runs
= 4.2 miles x 5 days
=21.0
Therefore Andrew runs 21 miles in five days.
To learn more about the distance visit:
https://brainly.com/question/2854969
#SPJ2
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles
Complete question :
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.
Answer:
Step-by-step explanation:
Total number of marbles :
Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6
Total = (1 + 6 + 7 + 4 + 6) = 24 marbles
Probability of selecting marble that is not yellow :
Number of marbles that aren't yellow / total number of marbles
Marbles that aren't yellow = 24 - 6 = 18
P(selecting a marble that isn't yellow) = 18 / 24 = 3/4
Which ordered pairs are solutions to y = x + 1?
A (0,1),(1,2), (2,3)
B (0, -1), (2, -1), (3,-2)
C (0,1),(1,2), (2, 4)
D (0,1),(2, 1), (3, 1)
Answer:
A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )
Step-by-step explanation:
( x, y ) = ( 0, 1 )
Here,
x = 0
y = 1
y = x + 1
1 = 0 + 1
1 = 1
( x, y ) = ( 1, 2 )
Here,
x = 1
y = 2
y = x + 1
2 = 1 + 1
2 = 2
( x, y ) = ( 2, 3 )
Here,
x = 2
y = 3
y = x + 1
3 = 2 + 1
3 = 3
can I have some help? and with an explanation could help win brainist.
Answer:
20 units
Step-by-step explanation:
Hope this helps u :D
Answer:
24 units
Step-by-step explanation:
The distance between 2 and 4 is 2.
2 + 2 = 4
The width is 2 units.
The distance between - 3 and 5 is 8.
- 3 + 8 = 5 or 8 - 3 = 5
4 + 8 + 4 + 8 = 24
A map uses a scale of 3 centimeters to represent 20 miles. The distance between Mt. Hope and
Camden is 56 miles. Which proportion can be used to find x, the distance between Mt. Hope and
Camden on the map?
Answer:
20 is to 56 as 3 is to x
20x= 8.2
what is the value of x?
Answer:
37.5
Step-by-step explanation:
whats the slop of
y=1/4-4/5x
Answer:
4/5
Step-by-step explanation:
when given slope intercept form , the slope is the constant beside x
Answer: 5x -16
20X
Step-by-step explanation:
Simplify 4/5x
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x - (4 • 4) 5x - 16
———————————— = ———————
20x 20x 1/4 - 4/5x
Explain box and whisker and how does it work?
a box plot is a graph that summarizes numerical data based on quartiles, which divide a data set into fourths
Which measurement can be used to describe the size of an angle
Answer:
Step-by-step explanation:
degrees
use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your thinking
Answer:
See belowStep-by-step explanation:
to figure out the ratios we must figure out the length of hypotenuse first to do so we can consider Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] \displaystyle \implies c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
substitute:
[tex] \displaystyle c = \sqrt{ {12}^{2} + {9}^{2} } [/tex]
simplify squares:
[tex] \displaystyle c = \sqrt{ 225 } [/tex]
simplify square root:
[tex] \displaystyle c = 15[/tex]
now recall that,
[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex][tex] \displaystyle\cos( \theta) = \frac{adj}{hypo} [/tex][tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]the ratios with respect to angle w given by
[tex] \displaystyle \sin( W) = \frac{12}{15} = \frac{4}{5} [/tex][tex] \displaystyle \cos(W) = \frac{9}{15} = \frac{3}{5} [/tex][tex] \displaystyle \tan( W) = \frac{12}{9} = \frac{4}{3} [/tex]the following ratio with respect to angle X
[tex] \displaystyle \sin(X) = \frac{9}{15} = \frac{3}{5} [/tex][tex] \displaystyle \cos(X) = \frac{12}{15} = \frac{4}{5} [/tex][tex] \displaystyle \tan( X) = \frac{9}{12} = \frac{3}{4} [/tex]