Answers
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Related Questions
identify the proportional relationship.
1. y = x + 2
2. y = -x
3. x = 2
4. y = -2x - 1
Answers
Answer:
y = -x
Step-by-step explanation:
Answers 1 and 4 have an offset (+2 and -1) that interferes. x = 2 is not a proportion. It is simply a statement that x = 2. It is not allowed in the high stakes room.
if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)
Answers
Answer:
u = 20, v = 1
Step-by-step explanation:
Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.
Therefore:
[tex]v+23=u+4\\19v+41=2u+20[/tex]
Now, you can simply solve the system of equations for v and u.
I will solve by substitution:
[tex]v+23=u+4\\v=u-19[/tex]
Now, plug that into the other equation:
[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]
Finally, plug that back into the first equation:
[tex]v+23=20+4\\v+23=24\\v=1[/tex]
u = 20, v = 1
6-2/3(x+5)=4x solve for x
Answers
Answer:
3x^2+15x-1=0
Step-by-step explanation:
4/(3x+15)=4x
4=12x^2+60x
12x^2+60x-4=0
3x^2+15x-1=0
Please solve after that, I cannot do everything for you
Identify the errors in the image.
Mosquito Life Cycle
2021 Edmentum. All rights reserved. growth and development of organisms master test!!
A. the egg stage is missing
B. the mosquito transforms into a butterfly
C. the pupal stage should come after the larval stage
D. there is no metamorphosis
Answers
Answer:
B. the mosquito transforms into a butterfly
Step-by-step explanation:
Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.
I hope this was incredibly helpful! Tell me if you need any further assistance...
( :
The company made $700,000 the first quarter and $343,000 the second
quarter. Which shows the change from the first quarter to the second
quarter?
a) –357,000
B) 357,000-
C) 357,000+
D) +357,000
Hi! i need help, can someone help me please
Answers
Answer:
b
Step-by-step explanation:
The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.
Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
The difference in money made by company from first quarter to second is
700,000-343,000
= +357,000
Therefore, the correct answer is option D.
Learn more about the subtraction here:
brainly.com/question/2346316.
#SPJ4
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Answers
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast
Answers
Answer:
22.22%
Step-by-step explanation:
2/7 = 0.22222...
Convert to a percent - move decimal over by 2
22.22
Answer:
≈ 28.57%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , that is
[tex]\frac{2}{7}[/tex] × 100%
= [tex]\frac{2(100)}{7}[/tex]
= [tex]\frac{200}{7}[/tex]
≈ 28.57% ( to 2 dec. places )
will give brainliest
f(x) = 2x - 4
g(x) = 4x + 5
Find (fºg)(x)
Answers
The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.
Answers
I know u felt offend and I love you so much so much love and hope that not everyone else is going to accept that as a result I am now in a person
Answer:
9.3+ b= 14.5
Step-by-step explanation:
Factor
10x + 100x + 250
Answers
Is the answer
A 2-lb block of cheese us cut into 8 pieces of equal mass. What is the mass of each piece? (In oz)
Answers
Answer:
4 ounces each
Step-by-step explanation:
16 ounces = 1 pound
16x2=32
32/8=4
Which of the following lines have a y intercept of (0,2)? Choose all that apply
a. 3x - 7y = -14 b. y - 4 = -1/4 (x+4) c. y + 5 = 3 (x+2) d. y = -7x + 2
Answers
Answer:
A and D
Step-by-step explanation:
a.
3x - 7y = -14
-7y = -3x -14
y = 3/7x + 2
b.
y - 4 = -1/4 (x + 4)
y - 4 = -1/4x -1
y = -1/4x + 3
c.
y + 5 = 3 (x + 2)
y + 5 = 3x + 6
y = 3x + 1
d.
y = -7x + 2
please give me the correct answer. T^T
Answers
Answer:
All pairs of corresponding sides are congruent
Step-by-step explanation:
∠A≅∠D
∠B≅∠E
∠C≅∠F
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Answers
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
just started algebra
Answers
Answer:
thats really great! its simple!
Great! How about your question?
Which is the better buy in each problem??
Answers
Answer:
1 - quarts of juice for 5.82 (the first one)
2 - 9.84 for a 12 pack of batteries (the second one)
3 - 24-pack of pencils for 2.64 (the first one)
4 - $2.46 for a 12-ounce jar of jam (the first one)
Step-by-step explanation:
Have a nice day
Find the unit rate for each problem
Answers
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1. Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2. Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3. Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
The area of a rectangle is 60 square inches.
The length is x – 3, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A=lw
Answers
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
HELPPPPPPPPPPPPPPPPPPP
Answers
Answer:
HWHAHAHAHA hatdog
jejdisisisiwis
Help I’ll give brainylist in return thank you
Answers
Answer:
They are similar by AA
Step-by-step explanation:
Angle B and C are similar as well as angle ABE and DCE are similar
Enter a digit in each box to complete the addition problem
Answers
Answer:
4.5 + 19.75 = 24.25
Find your missing digits with the equation above
Someone plz help me :(
Answers
Answer:
should be 7 let me know if i'm wrong
Maria’s monthly bank statement showed the following deposits and withdrawals:
-$25.20, $52.75, -$22.04, -$8.50, $94.11
If Maria’s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month?
Please do a step by step explanation
Answers
$22.66 + $52.75 = $75.41
$75.41 - $22.04 = $53.37
$53.37 - $8.50 = $44.87
$44.87 + $94.11 = $138.98
answer is $138.98
Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).
Answers
16-8=8
Step-by-step explanation:
That what be the suitable answer, x standing for the pencils that stayed in the box
1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)
Answers
Answer:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
Step-by-step explanation:
The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.
Answers
The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?
(x + 3)
(x + 7)
(x + 12)
(x + 13)
Answers
(x + 3)
(x + 7)
(x + 12)
(x + 13)
Answer:A
Step-by-step explanation:
A friend is having trouble comparing rational numbers. Write an explanation that will tell your friend how to decide if a rational number is greater than, less than, or equal to another rational number.
Answers
I don’t have any friends lol :-( :-)
y = -7x - 21
What is the slope of this equation and what is the Y intercept.
Answers
Answer:
Slope is -7
Y intercept = -21
Step-by-step explanation:
The equation is Y=mx+b
M is the slope so -7 would equal the slope
B is where your Y- intercept already is so that would equal -21
What is the sum of the first 10 terms of the geometric series 2 + 6 + 18 + 54 + 162 + ...?
Answers
2 + 6 + 18 + 54 + ...
This is a geometric sum and there is a way to find the sum of however many terms as you would like.
The initial term is S1 = 2, the ratio of successive terms is r = 3.
The sum for a geometric sequence of the first n terms is given by
Sn = S1(1 - rn)/(1 - r)
Apply this formula for n = 10.