Answers
Answer:
D (2, 5)
Step-by-step explanation:
To find the vertex of the quadratic function , we will follow the steps below
(x,y) = [-b/2a , f(-b/2a)]
x = -b /2a y = f(-b/2a)
The standard equation of a quadratic equation is y =ax² + bx + c
compare the above with the equation given, y = 3x² - 12x + 17
a = 3 b= -12 and c= 17
x = -b/2a
x = -(-12)/2(3)
x = 12/6
x = 2
y = f(-b/2a)
y = f (-b/2a) = f(x) = f (2)
y = f(x) =3x² - 12x + 17
To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;
f(2) = 3(2)² - 12(2) + 17
f(2) =12-24 + 17
f(2) =5
x = 2 and y = 5
(x,y) = (2, 5)
Related Questions
Pls, help! I really need it! THANKS!! I'm giving 15 points + BRAINLIEST
THANK YOU NOW PLS HELP ME
Answers
Answer:
k= 112
Step-by-step explanation:
12y = 7z
y= 7z/12
_________
3x =8y
3x= 8× 7z/12
3×=56z/12
36x=56z
x=56z/36
_________
zk=72x
zk= 72 ×(56z/36)
k= (72×56)/36
k=112
plz plz plz i really need this will mark biranleast
Triangle ABC is to be reflected across line m to create triangle A'B'C'.
Which best describes the location of B'?
4 units to the right of line m.
4 units to the left of line m.
8 units to the right of line m.
8 units to the left of line m.
Answers
Answer:
8 units to the right of line m
Step-by-step explanation:
when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.
Answer:
4 units to the left of line m
Step-by-step explanation:
that's how I'm seeing it
Which phrase describes the algebraic expression B2+7?
the product of 8 and 7 more than a number
the quotient of 8 and 7
8 times the sum of a number and 7
8 times a number plus 7
Answers
Answer:
8 times a number plus 7
Step-by-step explanation:
Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
Answers
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?
A. 180 g glucose per 1000 cm3 solution
B. 10.0 g glucose per 10.0 cm3 water
C. 90.0 g glucose per 500 cm3 water
D. 0.100 g glucose per cm3 solution
Answers
Answer:
Option C. 90.0 g glucose per 500 cm3 water
Step-by-step explanation:
1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.
The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.
Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.
For option B:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol
Mass of C6H12O6 = 10g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 10/180 = 0.056 mole.
Volume of water = 10cm³ = 10/1000 = 0.01dm³
Concentration = mole /Volume
Concentration = 0.056/0.01 = 5.6mol/dm³
Option B is wrong
For option C:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = 180g/mol
Mass of C6H12O6 = 90g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 90/180 = 0.5mole
Volume of water = 10cm³ = 500/1000 = 0.5dm³
Concentration = mole /Volume
Concentration = 0.5/0.5 = 1mol/dm³
Option C is correct.
For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.
From the above illustrations, option C is the correct answer.
Kim is 4/5 as old as Alan. In four years, she will be 5/6 as old as he will be. How old is each now?
(Please show all your work, with statements)
Answers
Answer: Kim is 16 and Alan is 20
Kim => x
Alan => y
Kim is 4/5 as old as Alan => [tex]x=\frac{4}{5}y[/tex]
In four years, she will be 5/6 as old as he will be => [tex]x+4=\frac{5}{6}(y+4)[/tex]
Solving the system we obtain x=16 and y=20
What is the solution to the inequality 8(7 - x) < 64?
a. X<-1
b. x<1
C. X > -1
d. x > 1
Answers
Answer:
C) x > - 1
Step-by-step explanation:
8(7 - x) < 64
56 - 8x < 64
56 - 64 < 8x
- 8 < 8x
- 1 < x
x > - 1
Answer:
The answer is c, or x > -1.
Step-by-step explanation:
Problem: 8(7-x) < 64
Distributive Property - So multiply 8 by both 7 and x individually
56 - 8x < 64
Subtract 56 from both sides
-8x<8
Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.
x>-1
Hope that helped!
i cant get the symbold so i had to do it like this :)
Answers
Answer:
b
Step-by-step explanation:
9 is bigger than x
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month? The prepaid phone plan will have a steeper line and lower y-intercept. The contracted phone plan will have the same steepness and a higher y-intercept. The prepaid phone plan will have a less steep line and the same y-intercept. The contracted phone plan will have a steeper line and same y-intercept.
Answers
Answer: A; The prepaid phone plan will have a steeper line and lower y-intercept.
"The prepaid phone plan, whose cost is $0.20 per minute, will means the usage increases as time increases means that this will have a steeper line and lower y-intercept since it has no monthly fee, Contracted phone plan, whose fee is still $0.02 would have a less steep line and a higher y-intercept because the plan requires monthly fee of $50."
Hope this helps
-Carrie
Please mark brainliest :)
A. The prepaid phone plan will have a steeper line and lower y-intercept.
What are given here ?Grace is comparing plans of cell phone.
A prepaid phone plan costs $0.20 per minute and has no monthly fee.
A contracted phone plan costs $50 per month and $0.20 per minute
What will be the type of graph ?Time increases as usage of the prepaid phone increases, which cost $0.20 per minute. So, the line will be steeper. There is no monthly plan in prepaid phone, so lower y-intercept seen in the graph.
The cost of contracted phone is $0.20 per minute, so the line is less steeper. Again, contracted phone has monthly plan of $50 per month, so the y intercept will be higher.
Learn more about graph here :
https://brainly.com/question/14323743
#SPJ2
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answers
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?
Answers
Hey there! I'm happy to help!
The perimeter is all of the sides of a shape added up.
Since all of the sides on a square are the same and we know one side, we just multiply it by four.
2.59(4)=10.36
Therefore, the patio is about 10.56 meters.
I hope that this helps! :D
Answer:
The best estimate is 10. Trust me, I did this assessment too.
Step-by-step explanation:
2.59 x 4 = 10.36. So it's 10.
Another question worth brainliest and 30 points!
But give me correct answers and i’ll give it to u
Write 18 in lowest terms
30
A. 3/10
B. 3/5
C. 4/5
D. 6/10
Answers
Answer:
B. 3/5
Step-by-step explanation:
I actually dont know how to explain srry
Answer: B; 3/5
Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.
First, 18/30=.6
Now we have to convert the following multiple choice into decimals to find out which is equivalent.
3/10=.3 --> This is not .6 so this is incorrect
3/5=---->.6, so this is one choice we could pick
4/5--->.8, so this is incorrect
6/10---> which is also .6, so this option qualifies.
But then, in the question it states the lowest terms. So your answer would be 3/5.
hope this helps
-Carrie
P.S. be sure to mark BRAINLIEST
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answers
Answer:
Step-by-step explanation:
Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answers
Answer:
7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 5 ÷ 2/3 = 5 × 3/2= 15/2= 7 1/2
If you draw a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8} A. 2 B. 3 C. 4 D. 5
Answers
Answer:
if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8
Step-by-step explanation:
there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8
Answer:
4 possible outcomes
Step-by-step explanation:
please mark me brainliest!
Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5
Answers
Answer:
1
Step-by-step explanation:
Answer:
B. x=8
Step-by-step explanation:
The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.
(12x+8)+(8x+12)=180
Combine like terms. Add all the terms with a variable, then the terms without a variable.
(12x+8x)+(8+12)=180
20x+20=180
Now, solve for x by isolating x. Perform the inverse operation to both sides.
20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.
20x+20=180-20
20x=180-20
20x=160
x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.
20x/20=160/20
x=160/20
x=8
x is equal to 8, and B is the correct answer.
Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?
Answers
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please answer the question stated below
Answers
Answer:
76.58 feet.
Step-by-step explanation:
A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.
Answer:
132.25 feet
Step-by-step explanation:
total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75
additional rope needed= 300-167.75= 132.25
Step-by-step explanation:
What is the area of the composite figure?
(6pi+4) cm
O(6pi+16) cm
0 (12pi +4) cm
0 (12pi+16) cm
2 cm
Answers
Answer: [tex]6\pi +4[/tex]
Step-by-step explanation:
The normal formula for area of a circle is [tex]\pi r^2[/tex] so remember it. Itll be important for the rest of your life. Now this isnt a normal circle, this is a semi circle. So, you should divide by 2.
Three Semi-Circles:
We are given the radius which is 2 cm. [tex]\frac{\pi2^2 }{2} =2\pi[/tex]
Now we gotta multiply that answer by 3 because there are three semi circles.
[tex](2\pi )(3)=6\pi[/tex]
Area of a Square:
This is simple, do [tex]s^2[/tex] to get 4
1 GEOMETRY - 1206310)
. An angle expression in an equilateral triangle is 3x + 12. What is the value of X?
Answers
Answer:
16
Step-by-step explanation:
The angle in an equilateral triangle is given as:
3x + 12
The angle is an equilateral triangle is 60°. Therefore:
3x + 12 = 60
=> 3x = 60 - 12 = 48
x = 48 / 3 = 16
x is 16
The Perfect square numbers between 100 and 200 are ____
Pls help.
Answers
Step-by-step explanation:
The perfect square numbers between 100 and 200 are :
10^2 =100
11^2 =121
12^2 =144
13^2 =169
14^2 =196
Which statements are symmetric reflexive or transitive
Answers
Answer: 1st is reflexive
Step-by-step explanation:
Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.
Answers
Answer:
C = 1.25n
Step-by-step explanation:
From the given table,
There is a common difference of $1.25 in every successive term to the previous term of the total cost,
Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25
Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25
Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
= 1.25 + (n -1)(1.25)
Or, C = 1.25 + 1.25n - 1.25
C = 1.25n
help me please i need it !
Answers
Answer:
A
Step-by-step explanation:
There is 2 of the same number on the Y
a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
Answers
For example:
Let’s suppose that it is 3 years from the initial decrease. Let’s plug this into the equation.
.06(3) * 2000 = 360
Then you would take that 360 and subtract it from the 2000 to get the total area that is left
2000 - 360 = 1640 square km
Hope this helps!
Simplify. 12x^4y^5+8x^3y^7-16x^2y^6 over 4xy^5
Answers
Answer:
3x^3+2x^2y^2-4xy
Step-by-step explanation:
You should Photomath really good for math problems
what is the volume of a prism with a height of 4 feet and a base area of 9 square feet?
Answers
Answer:
36 units³
Step-by-step explanation:
To find the volume of a prism, you must multiply the base times the height. 4×9=36.
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answers
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
HELP ME PLZ!!
What is the maximum number of Go Math textbooks that can fit in Tier 1 given the measurements of the textbook below? Your answer must have work on how you did it OR an explanation.
Answers
Answer:
Step-by-step explanation:
lets find the volume of a go math book
V=LWH
V=10.75*8.5*1
V=10.75*8.5
V=91.375 inches^3
the amount of Go Math books that can fit in tier 1 is
(tier 1's volume)/91.375
then , round to the smallest whole number
(how many whole books you can fit in
I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.
A probability experiment consists of rolling a fair 16 sided die. Find the probability of the event below, rolling a 12
Answers
Answer:
1/6
Step-by-step explanation:
I think that is the answer if not sorry, have a nice day!
Pls pick me as brainliest!
