Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 . The combined area of these three rooms is 189 square feet. What is the value of one box on the tape diagram ?
Answer:
The value of one box in the tape diagram will be 21 square feet
Step-by-step explanation:
Here, we have the total ratio added as 4 + 3 + 2 = 9
So the area of one box on the tape diagram will be the combined area divided by the total square feet
Mathematically, that will be;
189 square feet/9 = 21
Answer:
21
Step-by-step explanation:
^^^^^^
what is the following sum ?
two trapezoids-shaped tabletops are congruent to each other trapezoid FGHI =trapezoid WXYZ must be congruent to GH
A. XY
B. WX
C. YZ
D. WZ
Answer: B: WX
Step-by-step explanation:
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
HELP PLEASE ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line. Enter your answer in simplest form.
Answer:
slope=4
Step-by-step explanation:
m=y2-y1/x2-x1
4-(-4)=8
5-3=2
8/2=4
hope this helps :3
if it did pls mark brainliest
In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?
Judy scored 45 points in the board game.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
In a board game,
Judy scored 5 points, more than twice the number of points Ann scored.
If Judy scores x points and Ann scores y points,
that means,
x = 2y + 5
x - 2y = 5. {equation 1}
There was a total of 65 points scored.
x + y = 65 {equation 2}
Subtract the equation 2 to equation 1,
we get,
-3y = -60
y = 20
Then, x = 45.
Therefore, 45 points Judy scored.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
HELP QUICK I NEED TO TURN IT IN IN 30 mins
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8
if the class sizes in a school vary from 22 to 30, what is the range?
Answer:
8 im pretty sure
Step-by-step explanation:
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
(-2,4) ,(3,-6) point slope form
Grace paid $54.40 for 8 outdoor pathway lights.
Travis paid $40.25 for 5 of the same lights at a different store.
Use the drop-down menus to explain who paid less per light. pls help me
Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?
Answer:
Step-by-step explanation:
For club 1 - 2 book
For club 2 - 4 books
Club 1 has a $40 fee + 2 books = $60 in total
Club 2 has a $0 fee + 4 book = $60 in total
I'm pretty sure I'm right
Answer:
There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.
Step-by-step explanation:
1st club. (cost of club) 40$ + (cost of 2 books) 20$ = 60$.
2nd club. (cost of books) 15$ x (how many books) 4 = 60$
(first question btw)
please help i will mark brainliest if correct!
Answer:
(3,9)
Step-by-step explanation:
Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.
(2+1, 5+4)
(3, 9)
what are the angle measures given the figure is a rhombus???
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
The brown family has 5 liters of lemonade. Each liters of lemonade weighs 1 kilogram. At the end of the day they have 290 grams of lemonade left. How many grams of lemonade did they drink.
Answer:
4710grams of lemonade.Step-by-step explanation:
Step one:
given data
the brown family has 5 liters of lemonade that weighs 1 kg per liter
this implies that they have 5kg of lemonade.
convert 5kg to grams we have 5*1000= 5000grams
(because 1000g is equal to 1kg)
Step two:
if at the end of the day there was 290grams left, then they drank
=5000-290
=4710
They drank 4710grams of lemonade.
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
What is the y intercept y=-4-3/2x
Answer:
should be -4
Step-by-step explanation:
7 less than the difference of 12 and 5
Answer:
the difference of 12 and 5 is 7 so it would be 0
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
how long is 74% of 60 min
A. 50
B. 35
C.45
Answer:
Its c
Step-by-step explanation:
Answer:
yes it is C
Step-by-step explanation:
How many solutions does this system have?
y =-3x. -9x-4y=21
one
two
an infinite number
no solution
Answer:
one or seven READ DESCRIPTION
Step-by-step explanation:
y =-3x. -9x-4y=21
-9x+12x=21
3x=21
3*7=21
if you didn't mean to do a double negative then it would be one, but otherwise it's seven
Answer:
one
Step-by-step explanation:
right on edge
what is the difference between 3/8 and 61/64 redosed
Answer:
Distance between points = [tex]37/64\\[/tex]
Step-by-step explanation:
This is a relatively simple problem. Here we have to find the distance between two points on the number line.
The given two numbers are fractions and to find the difference between these two numbers, we have to make their denominators common.
One has denominator as 8 and the other as 64.
We make the common denominator as 64.
Then the fractions 24/64 are 61/64 and .
The distance between the two points = 61/64 - 24/64
= 37/64
Step-by-step explanation:
PLEASE ANSWER ASAP
what is the slope of any line that is parallel to the line y+3=5/7(×+2)?
A. 3
B. 5/7
C. 2
D. -5/7
B) 5/7
^That's the slope :)
A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?
Answer:
tsp of red food coloring = 25
Step-by-step explanation:
Red food coloring = 5 tsp
Blue food coloring = 3 tsp
Red food coloring : Blue food coloring = 5 tsp : 3 tsp
Blue food coloring = 15 tsp
how many tsp of red food coloring would you use to get the same recipe of frosting ?
Let
x = tsp of red food coloring
Red food coloring : Blue food coloring = x tsp : 15 tsp
Equate the ratios to find x
Red food coloring : Blue food coloring
5 tsp : 3 tsp = x tsp : 15 tsp
5 / 3 = x / 15
Cross product
5 * 15 = 3 * x
75 = 3x
Divide both sides by 3
x = 75 / 3
= 25
x = 25 tsp
tsp of red food coloring = 25
Simplify the expression
1/5v+3/10v
[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2