Answers
Answer:
Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest
Step-by-step explanation:
The vertex of a parabola means the stationary point/turning point which is denoted by the following:
[tex]x=\frac{-b}{2a} \\[/tex]
and for y we just simply put the value of x that we get into the equation so lets get started
The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation
and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values
a=1 , b=-2 , c=-6
and now for the vertex
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]
and now for y
[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]
so the vertex is (1,-7)
and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.
Answer:
hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.
Step-by-step explanation:
Related Questions
PLEASE HELP WITH THESE
y- (-8) = (-5)
x + 21 = (-2)
x + 21 = (-2)
(-10) + r = (-2)
(-6) + b = 9
Answers
Step-by-step explanation:
1. y = -3
2. x= -23
3. r = 8
4. b= 15
A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field-level tickets.
Answers
Answer:
There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets
Step-by-step explanation:
Let x represent the number of reserved tickets, y represent the number of field level tickets and z represent the number of box seat tickets.
Given that 10 total tickets were bought for $370, hence this can be represented by the equation:
20x + 50y + 100z = 370 (1)
x + y + z = 10 (2)
Also there was twice as many reserved tickets as field-level tickets. This can be represented by the equation:
x = 2y
x - 2y = 0 (3)
solving equations 1, 2, and 3 simultaneously gives:
x = 6, y = 3 and z = 1
There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets
k/4 + 3 = 14
k= ?
k equals what
Answers
Answer:
Step-by-step explanation:
[tex]\frac{k}{4} + 3 = 14[/tex]
Subtract 3 from both sides
[tex]\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11[/tex]
Multiply both sides by 4 to find k.
k = 11 x 4 = 44
HELP ME SOLVE THIS PLZ (show how to solve it)
-2|2x+4|+10>-6
Answers
Answer:
-6 < x < 2
Step-by-step explanation:
-2|2x+4|+10>-6
Subtract 10 from each side
-2|2x+4|+10-10>-6-10
-2|2x+4|>-16
Divide by -2, remembering to flip the inequality
-2/-2|2x+4|>-16/-2
|2x+4|<8
We have two solutions, one positive and one negative( remember to flip the inequality)
2x+4 < 8 and 2x+4 > -8
Subtract 4 from each side
2x+4-4 < 8-4 and 2x+4-4 > -8-4
2x < 4 and 2x > -12
Divide by 2
2x/2 < 4/2 and 2x/2 > -12/2
x <2 and x > -6
-6 < x < 2
Answer:
x<2 and x>-6
Step-by-step explanation:
First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.
-2|2x+4|+10>-6
-10 -10
-2|2x+4|>-16
Now, divide by -2 on both sides.
-2|2x+4|>-16
/-2 /-2
|2x+4|<8
Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.
|2x+4|<8 and |2x+4|>-8
-4 -4 -4 -4
2x<4 2x>-12
/2 /2 /2 /2
x<2 and x>-6
I hope this helps you out!!! Have an amazing day C:
Consider the pairs of ratios given and determine whether or not the ratios form a proportion 8 old rings for every 1 ring 16 old rings for every 2 rings A) Yes B) No Save
Answers
Answer:
b
Step-by-step explanation:
Find the average rate of change over the interval [-4, -1] *
f(x) = x^2?
Answers
Answer:
ijbibhibhhhvhj
Step-by-step explanation:
What is the slope of the line that passes though the points (5, -11) and (-9, 17)?
A .-2
B. 2
C. −12 1/2
D .7
Answers
Help!
Which solution(s) are correct?
Answers
Answer: D. Matthew’s, Rhoda’s, and Ming’s
Step-by-step explanation:
√0.89 ≈ 0.94
Anyah is incorrect because both of her decimals are smaller than √0.89.
Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.
Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.
Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.
I hope this helps!
how do i graph x = -1
Answers
Answer:
red line shown is how to graph x = -1
Step-by-step explanation:
Which table represents a function?
Answers
Answer:
The first one, there are no repeating x values
Step-by-step explanation:
WRITE A COMPOUND INEQUALITY FOR EACH GRAPH PLEASEEE HELP DUE IN !) MINUTES!!!!!
Answers
Answer:18-1 closed right 5
19-3 open right5
20 0 open left 1 3 closed right 1
21 -4 open left 2 -3 open right 3
22 3 close left 2 6 open right 1
23-3 open left 1 0 open right 2
Step-by-step explanation:
X=−2 x=−1 x=1 6(0.5x−1.5)+2x=−9−(x+6) x = − 2 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = − 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) 4(0.5x−2)+3x=−14−(x+6) x = − 2 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = − 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) 8(0.5x−3)+4x=−9−(x+6)
Answers
Given:
Three equations are
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
Three solutions are [tex]x=-2,x=-1,x=1[/tex].
To find:
The solution of each equation from the given solutions.
Solution:
We have,
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
Using distributive property, we get
[tex]3x-9+2x=-9-x-6[/tex]
[tex]5x-9=-15-x[/tex]
Isolate variable terms.
[tex]5x+x=-15+9[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6.
[tex]x=-1[/tex]
Similarly,
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]2x-8+3x=-14-x-6[/tex]
[tex]5x-8=-20-x[/tex]
[tex]5x+x=-20+8[/tex]
[tex]6x=-12[/tex]
[tex]x=-2[/tex]
Now,
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
[tex]4x-24+4x=-9-x-6[/tex]
[tex]8x-24=-15-x[/tex]
[tex]8x+x=-15+24[/tex]
[tex]9x=9[/tex]
[tex]x=1[/tex]
Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.
1. Quinn is knitting a scarf with his grandmother. Yesterday, his grandmother
used 3/4 of a
skein of wool and Quinn used 1/12 of a skein. How much more wool did
Quinn's
grandmother use than Quinn?
Answers
what is the answer? -3/4-1 3/8
Answers
Answer:
[tex]\frac{-19}{8}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{4}-\frac{13}{8}[/tex]
[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]
[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]
hope it helps u
1/2r + 2 (3/4r - 1) = 1/4r + 6
Answers
Answer:
r=32/7
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)
1/2r+3/2r+-2=1/4r+6
(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)
2r+-2=1/4r+6
2r-2=1/4r+6
Step 2: Subtract 1/4r from both sides.
2r-2-1/4r=14r+6-14r
7/4r-2=6
Step 3: Add 2 to both sides.
7/4r-2+2=6+2
7/4r=8
Step 4: Multiply both sides by 4/7.
(4/7)*(7/4r)=(4/7)*(8)
r=32/7
Answer: r=32/7
hope this helps :)
i need help i will mark
Answers
Answer:
[tex]-34.[/tex]
Step-by-step explanation:
[tex] - {4}^{2} + (5 - 2)( - 6) = \\ 16 + 18 = \\ -34. \\ \\ ♨Rage♨[/tex]
Suppose the eggplants at a store in Thailand are priced at 1.24 baht per kilogram,
where one dollar is worth 1.37 baht, and 1 kg = 2.2 lb. What is the price of the
eggplants in dollars per pound?
A:$0.77 per pound
B:$0.41 per pound
C:$3.75 per pound
D:$2.00 per pound
Answers
Professor Florido is studying a new hybrid watermelon. She knows that a watermelon seed has probability 0.88 of germinating. She decides to plant 5 seeds. (a) What is the probability that exactly 2 seeds will germinate? ( Round to 4 decimals) (b) What is the probability that at most 3 seeds will germinate? ( Round to 4 decimals)
Answers
State the slope and the y-intercept for the graph of the equation, y = -3x - 2 * 1 point A) Slope = -2; y-intercept = -3 B) Slope = 2; y-intercept = 3 C) Slope = -3; y-intercept = -2 D) Slope = 3; y-intercept = 2
Answers
Y intercept = -2
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answers
Answer:
Step-by-step explanation:
Please please please please help please please help
Answers
Answer:
B
Step-by-step explanation:
Which one?
A. B. C. or D?
Answers
Answer:
Its B
Step-by-step explanation:
Its B prob
Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2
Answers
Answer:
[tex]\bold{y=(x+5)^2-27}[/tex]Step-by-step explanation:
[tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]
This graph shows a proportional relationship.
What is the constant of proportionality?
Answers
Answer:
y=40x
Step-by-step explanation:
Answer:40
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?
Answers
Answer:
[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]
sin= opposite over hypotenuse
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answers
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45
Answers
Answer:
ummm ................
Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line
Answers
Answer:
It is an undefined line which means a vertical line.
Step-by-step explanation:
Using the point-slope formula y2-y1 divided by x2-x1, you would get -4-(-7)/-3-(-3) which the answer would be 3/0. If zero is at the bottom of the fraction, the line would be undefined.
HELP PLEASE THIS IS DUE IN FIVE MINUTES
Answers
Answer: 0, 50
Step-by-step explanation: (h=0), 0=2t+100
2t=100
t=50
hopefully this helps
Explanation:
Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to spend?
Answers
Answer:
$78.65
Step-by-step explanation:
take 200-121.35=78.65
$78.65
Karen has $78.65 left to spend