Select the statements that are true for the graph of y=(x−1)2−6 .
Select all correct statements.
The vertex is (1, −6) .
The graph has a maximum.
The vertex is (−1, −6) .
The graph has a minimum.
Answers
Answer:
graph has a minimum ( looks like V or faces upward )
vertex is (1, −6)
Step-by-step explanation:
*** got to put ^ when typing exponents!!!
y=(x−1)^2−6
y=x^2-2x+1−6
y=x^2-2x-5
basic form is
y = ax^2+bx+c
x vertex = -b/2a
x vertex = -(-2)/2(1)
x vertex = 2/2
x vertex = 1
y vertex = plug x back into the equation
y vertex = y=(1)^2-2(1)-5
y vertex = y=1-2-5
y vertex = y=-6
vertex is (1, −6)
basic form is
y = ax^2+bx+c
if a is positive curve has a minimum means it looks like V or faces upward
if a is negative curve has a maximum means it looks like ^ or faces down
here a is positive so
graph has a minimum
Brian McLogan
Answer:
A) The vertex is (1, -6)
D) The graph has a minimum
Step-by-step explanation:
Just took the test and these were the correct answers. Hope this helps!!!
Related Questions
Make a list of 15 numbers that add up to 50.
Answers
Answer:
1,1,1,1,1,1,1,2,2,4,5,6,7,8,9
Step-by-step explanation:
1+1+1+1+1+1+2+2+4+5+6+7+8+9=50
lol this took way too much time
100 POINTS
Find the area bounded by the curves x = 2y2 and x = 1 – y. Your work must include an integral in one variable.
Answers
Answer:
y^2 = 2x + 6
2x = y^2 - 6
x = 1/2(y^2 - 6)
The points of intersection of the curves are calculated:
y + 1 = 1/2( y^2 - 6)
2y + 2 = y^2 - 6
y^2 - 2y - 8 = 0
( y - 4)(y + 2) = 0
y = 4, -2
when y = 4, x = 5 and when y = -2 x = -1.
Integrating between y = 4 and y = -2
4
INT [ ( y + 1 + 1/2 (6 - y^2) ]dy
-2
= 4
{ y^2 / 2 + y + 3y - y^3/6 }
-2
= 13 1/3 - (-4 2/3)
13 1/3 + 4 2/3
= 18 answer.
Answer:
i think its 18.
Step-by-step explanation:
The school that Brenda goes to is selling tickets to a fall musical. On the first day of the ticket
sales the school sold 4 senior citizen tickets and 6 child tickets for a total of $76. The school
took in $23 on the second day by selling 1 senior citizen ticket and 2 child tickets. What is the
price of one senior citizen ticket and one child ticket?
Answers
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7 (idk if this is right hope it is!!!)
Rewrite as a square or a cube:
3 3/8
Answers
Answer:
The Answer is 3/2 in cube number.Step-by-step explanation:
3 3/8= 8 × 3 + 3 / 8= 24 + 3 / 8= 27 / 8= (3/2)^3So , the answer is 3/2 in cube number.
Thank you ☺️☺️
Simplify.
240−−−√
6/40−−√
10/24−−√
2/30−−√
4/15−−√
Answers
Answer:
4/15
Step-by-step explanation:
find the solution set s^2=16
Answers
Answer:
4
Step-by-step explanation:
4 x 4 is 16 * dabs*
Step-by-step explanation:
S²=16
S=√16
S=4. Because 4x4=16
hope this helps you
have a good day.
Find the volume of the triangular prism?
Answers
Answer:
i not understand this question plase ask full question
Which shows how to calculate the number of liters he used if he used 5 cups of water?
divide 5 by 4.22
multiply 5 by 4.22
divide 5 by 1.05
multiply 5 by 1.05
Answers
Answer:
The first one is d) fluid ounces
The second one I think is c) meters
the third one I think is d) 2kg
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Answers
Answer: 15
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
Step 2: Multiply both sides by 5/2.
Which is a solution to the equation 4.82y = 156.891?
Group of answer choices
y = 161.711
y = 32.55
y = 152.071
y = 756.21462
Answers
divide 156.891 by 4.82 to isolate the y.
Determine whether the given number is a solution of the given equation.
Is 9 a solution of x-11 = - 2?
Answers
Answer:
Substituting x with 9
9-11
= -2
Yes, it is a solution.
A pair of dice will be rolled once. What is the probability that the number of spots on two dice is different
Answers
jackson wants to divide a 3/4 - pound box of trail mix into small bags will hold 1/12 pound of trail mix. how many bags of trail mix can jackson fill?
Answers
Answer:
9 bags of trail mix
Step-by-step explanation:
How can you find the least common multiple?
Answers
pls answer this right now i need it so much i'll give you brainleist and follow you thank you so much.
6. Which of the following statements is correct? A. An algebraic equation is a mathematical sentence with an equal sign.
B. An algebraic equation is a series of mathematical operation.
C. An algebraic expression consist of one operation.
D.
An algebraic expression variable is always
letter
7. Mang Cadio when asked about his age, replies,"1 am six years older than thrice the age of my youngest child." Express his age in algebraic expression if his age now is 66.
A. 3n + 6 = 66
B. 3n - 6 = 66
C. 3n + 6n = 66
D. 3n - 6n = 66
8-Mayah is 2 years younger than her sister who is 4 years younger than their brother. Their total age together is 26 years. How old is Mayah's sister?
A. 3n+2=26
C. n=26-2
B. 3n-2=26
D. n=26+2
9.The phrase "Five less than twice a number" is equal to
A. 5-2n
B. (5-2n)
C. 2n-5
D. 2(n-5)
10. Which algebraic equation on the phrase " Twice a number decreased by six is equal to sixteen.
A. 2b-6=16 B. 16-2b-16
C. 2b-16-6
D.
2b-16= 8
11 A number increased by 5 is 12. What is the number?
A. 6
C. 8
B. 7
D. 9
12. What is c in the equation, c +18=29.
A. 9
C. 13
B. 11
D. 15
13. Solve for h, in the equation h=8.
5
A. 10
B. 25
C. 40
D.
41
14. Mang Andoy is an egg dealer. He needs to sell 1000 dozens of eggs every 2 weeks for him to meet the quota requirement. On the first week, he sold 453 dozens of eggs. On the third day of the second week, he delivered again and sold 364 dozens. How many more dozens of eggs does Mang Ambo needs to sell to meet the quota?
A. 183
C. 98
B. 120
D. 79
15. If thrice a number is increased by 11, the result is 35.
What is the number?
A. 24
C. 12
B. 18
D. 8
Answers
Answer:
6. A
7. A
8. A
9. C.
10. A.
11. B.
12. B.
13. C.
14. A.
15. D.
Step-by-step explanation:
6. An algebraic equation is a mathematical sentence with an equal sign.
7. 3n + 6 = 66
8. Let n = Mayah's sister's age
let m = Mayah's age
let b = Mayah's brother's age
m = n - 2
b = n + 4
m + b + n = 26
⇒ n - 2 + n + 4 + n = 26
⇒ 3n + 2 = 26
9. 2n - 5
10. 2b - 6 = 16
11. n + 5 = 12
⇒ n = 7
12. c + 18 = 29
⇒ c = 29 - 18 = 11
13. h = 8 · 5 = 8 × 5 = 40
14. 453 + 364 + n = 1000
⇒ n = 1000 - 453 - 364
⇒ n = 183
15. 3n + 11 = 35
⇒ 3n = 35 - 11
⇒ n = 24 ÷ 3
⇒ n = 8
Randall had $75 in his bank account. He made 3 withdrawals of $18 each.
Answers
Answer:
Randall now has a negative balance
Step-by-step explanation:
Answer:
All are false I believe :)
Step-by-step explanation:
3 x 18 = 54
$75 - 3(-$18)= 129
June and Sushil win some money and share it in the ratio 3:1. June gets £20 more than Sushil. How much did Sushil get?Caroline, Colin & Sarah share some money.
Answers
Answer:
£10
Step-by-step explanation:
3:1
difference in the ratio is 2 so 2 is £20
so 1 is 20/2 =10
Sushil is 1 in the ratio an 1 x 10 is 10.
this is a brief explanation.
Hope this helps x
How do you graph y=-1x+4
Answers
Step-by-step explanation:
You will put the y-intercept at (0,4) and the slope will be -1
Here are some points on the line you can graph: (0,4) (1,3) (2,2) etc.
I'm confused on this
Answers
Number 14 is b. Figure D
Translate verbal phrases into mathematical expressions
1. The difference of gross sales and total sales
2. The sum of two numbers of less 11
3. Three fourths of 500
Thankyouuuuu !
Answers
Answer:
see i do not know 1st so i am not answer for it
Step-by-step explanation:
2nd) let 1st number be x
and second number be y
so x+y>11 or x+y<11 or x+y=11
this three can be i am not sure about this so just verify from any other source too
3rd) the ans is 500 upon(divided) by 4=125
so 125 multiply by 3 is 375
the correct ans is 375
Use the function f(x) to answer the questions: f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
(1/4,f(1/4)) = (1/4,-81/8)
If x = 5 and y = 7, evaluate the following expression:
100 – 3(3y - 4x)
Answers
100 - 3(3 x 7 - 4 x 5)
Simplify
97(21 - 20)
Simplify
97(1)
Now, multiply.
97 x 1 = 97
So the answer to the equation above, is 97.
Find the value of X for the image below
Geometry
Answers
Answer:
x = 8
Step-by-step explanation:
The value of x can be found by equating the associated angle with its vertical angle. That vertical angle is the difference between the one marked 18° and the right angle.
∠ZJW = ∠HJZ -∠WJZ = 90° -18° = 72°
∠GJL ≅ ∠ZJW
(9x)° = 72°
x = 72/9 = 8
What is the y-intercept of the function f(x) = - 2/9x + 1/3
Answers
Answer: 1/3
Step-by-step explanation:
If the equation of a line is given in the form y=mx+b, then the y-intercept is the value of b.
The first of three numbers is one-third the value of second number. The second number is 5 less than the third number. If twice the third number is 5 less than the second number, which of the following equations could be used to find the value of the first number, if the first number is represented by x?
Answers
Answer: [tex]2(3x+5)=3x-2[/tex] , required equation.
Step-by-step explanation:
As per given we have,
First number = [tex]\dfrac13[/tex] of second number. (i)
Second number = Third number - 5 (ii)
2 (third number)= Second number - 5 (iii)
Put x= first number in (i).
so, [tex]x=\dfrac13[/tex] of second number.
⇒ second number =[tex]3\times x=3x[/tex]
From (ii)
[tex]3x=[/tex] Third number - 5
⇒ Third number =[tex]3x+5[/tex]
From (iii)
[tex]2(3x+5)=3x-2[/tex] , required equation.
Please I need help with this
Answers
Answer:
I can help, but what is the equation?
100 POINTS AND BRAINLIEST HELP PLEASE I NEED THIS ANSWERED
Answers
Answer:
The second one should be the answer.
Please helppp ASAP Content attribution
QUESTION 12 · 1 POINT
5
3m
Find the LCD for 5/m2+9m+20, 3m/m2+11m+28
Answers
Answer:
The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)
Step-by-step explanation:
In the algebraic fractions, the LCD is the least common denominator to find it do that:
Factorize each denominatorTake all the factors without repeating factorsLet us do that with our question
∵ The denominator of the first fraction is m² + 9m + 20
→ Factorize it into two factors
∵ 20 = 4 × 5 ⇒ the last term
∵ 4 + 5 = 9 ⇒ the coefficient of the middle term
∴ m² + 9m + 20 = (x + 4)(x = 5)
∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)
Do the same with the 2nd denominator
∵ The denominator of the second fraction is m² + 11m + 28
→ Factorize it into two factors
∵ 28 = 4 × 7 ⇒ the last term
∵ 4 + 7 = 11 ⇒ the coefficient of the middle term
∴ m² + 11m + 28 = (x + 4)(x + 7)
∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)
∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)
→ LCD will be all factors without repeating which means we will
take the factor (x + 4) just one time, we will not repeat it.
∴ LCD = (x + 4)(x + 5)(x + 7)
∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)
Felica is trying to simplify the expression 9 + (8 x 9) - (18\3
Answers
Answer:
The answer is 75.
Step-by-step explanation:
First, we apply the rule of PEMDAS (or whatever order of operations rule you have learned). In this equation, we first solve inside the parentheses.
8 x 9 = 72
18/3 = 6
Now, our equation has become 9 + 72 - 6. We can solve this left to right:
9 + 72 = 81
81 - 6 = 75
Please I need help please
Answers
Answer:
rotation then reflection, because it reflects from 2-3 and from 1-2 it is rotated.