#
6x²-12x-25=-7
vertex
axis of symmetry

Answers

Answer 1
Axis of symmetry: x=1
Vertex: (1, -24)

Explanation:

6x²-12x-25=-7

6x²-12x-18=0

a=6, b=-12, c=-18

Formula of axis of symmetry: x=-b/2a

x=-b/2a

x= -(-12)/2(6)

x= 12/12

x= 1

Vertex: (1,?)

Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y

6 - 12 - 18 = y

y = -24



Answer 2

Answer:

Step-by-step explanation:

                                                                                                           -b

The axis of symmetry can be calculated using this formula:  x = ------

                                                                                                           2a

                                         -(-12)

which in this case is  x = ---------- = 1.  The axis of symmetry is the vertical

                                         2(6)             line x = +1

Thus, x = 1 is the x-coordinate of the vertex.  Normally we'd find the y-coordinate by evaluating the function at x = 1.  Unfortunately your

6x²-12x-25=-7 does not have the form of a quadratic function; such a function does not have the " = " sign in it.

Example:  Suppose we have  6x²-12x-25 = f(x) and we evaluate this function at x = 1:  f(1) = 6(1)^2 - 12(1) - 25 = -31, which (in this example)

leads to the vertex (1, -31).


Related Questions

Pleaseee help, I'll give your brainlyest!!! The points earned in the first half of Football game was Tampa Bay Buccaneers 21 and Kansas City Chiefs 6. What percent did the Bucs score over the Chiefs? Hint: Bucs over Chiefs = blank over 100

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Answer:

97% I think I am not sure I cant do it well

Katy's number is 6 more than Pete's number. The sum of their number is 198. Find the number.

Answers

Answer:

Kathy=105

Pete=93

expression for...37 more than the quotient of 24 and 8 ​

Answers

Answer:

37 more than the quotient of 24 and 8 ​= 24 ÷ 8 + 37

Step-by-step explanation:

24 ÷ 8 + 37

Order of Operations

3 + 37

Add

= 40

The expression is 24 ÷ 8 + 37

Pls answer this is a khan academy question

Answers

Answer:

Oak tree - linearBirch tree - exponential

Step-by-step explanation:

The first table represents a linear function

For each 3 years, the rise of branches is ~12

The second table represents an exponential function

For each years time, the branches increase ~4 times

Candace received a 14% raise as part of a promotion with her work. Before the promotion she was earning $22.50 an hour. What is her new hourly wage?

A)$3.15. B)$26.35. C)$41.85. D)$25.65

Answers

answer: $25.65

explanation: 14% of $22.50 is 3.15

22.50 + 3.15 = $25.65

hope this helps :)

Answer:

D

Step-by-step explanation:

is this table proportional?
explain

Answers

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.

Hope it helps!

Evaluate the limit to the right

- does not exist
- infinity
- C
- negative infinity
- none of these

Answers

Negative infinity
Shield smspsosbdjfif. Dishab s did a so f turns.
-infinity kffkkggjnvghjnvgjjbbjn

A bouncing tennis ball starts at a height of 6 feet off of the ground, this is 72 inches off of the ground. Each time it bounces it comes back up to 2/3 of the height. Which answer choice shows the correct explicit equation in inches?

Answers

Answer:

Step-by-step explanation:

[tex]h=72\left(\frac{2}{3}\right)^{(n-1)}[/tex]

6x - 8y = 12 and 5x + 8y = -1 Solve using elimination​

Answers

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

there were 62 people in the movie theater for the matinee. ticket sales for that showing were $364. if adult tickets cost $7 and children tickets cost $3.50, how many of each were at that show. please solve with systems of equations.

Answers

Answer:

Step-by-step explanation:

a+c=62, c=62-a

7a+3.5c=364, using c found above gives you

7a+3.5(62-a)=364 expand left side

7a+217-3.5a=364 group like terms on left side

3.5a+217=364 subtract 217 from both sides

3.5a=147 divide both sides by 3.5

a=42, since c=62-a

c=62-42=20

So 20 children and 42 adult tickets were sold.

si un angulo mide t6 cual es su medida en grados​

Answers

Step-by-step explanation:

No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?

What key features will all continuous exponential functions have?

Answers

Answer:

The graph passes through the point (0,1)The domain is all real numbers.The range is y>0.The graph is increasing.The graph is asymptotic to the x-axis as x approaches negative infinity.The graph increases without bound as x approaches positive infinity.The graph is continuous.

Which of these IS a Pythagorean triple? 11,60,62 6,8,15 5,11,12 18,80,82

Answers

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+ 80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

c=3
c2 + 5








..............

Answers

Answer:

3x2+5=11

Step-by-step explanation:

Which of these triangles is definitely not congruent to any of the others?

Answers

Answer:

3

Step-by-step explanation:

why is there no option fr 3???

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Please explain how you got it.

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

By the Triangle Proportionality Theorem:

[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]

By cross-multiplication:

[tex]\displaystyle 12(x+1)=15(x)[/tex]

Distribute:

[tex]12x+12=15x[/tex]

Subtract 12x from both sides:

[tex]12=3x[/tex]

Hence:

[tex]x=4[/tex]

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **

We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]

[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

That means our answer, for the value of x, is 4

** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.

how to convert 7,293 a into a fraction

Answers

Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

Number of
Popsicles
Total Cost of
Popsicles
2
6
4
12
6
18
8
24
What is the Constant Rate of Change?

Answers

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

Bonnie is n years old.
Clara is three times as old as Bonnie.
Danesh is seven years older than Bonnie.
The total of Bonnie's age, Clara's age and Danesh's age is T years.
Find a formula for T in terms of n.​

Answers

Answer:

T = 5n + 7

Step-by-step explanation:

Bonnie : n

Clara : 3n

Danesh : 7 + n

T = n + 3n + 7 + n

T = 5n + 7

After picking up a friend who lives 10 miles away and leaving for a trip, Anna records her distance from home over time. The values are shown in the table below. Find her average speed over the first 6 hours in miles per hour (do not include units in your answer).

Answers

Answer: 47

Step-by-step explanation:

Δy/Δx=292-10/6-0=282/6=47

50 points!! I will mark brainliest to the correct answer :) please don’t put random answers... they will be reported. Thanks!

Answers

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔

Please help me I’ll mark you as whatever it’s calls brainlest or whatever just help please

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2. \ y= -2x+17}}[/tex]

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is a point the line passes through.

For this problem, the slope is -2 and the point is (5,7). Therefore:

[tex]m= -2 \\x_1= 5\\y_1= 7[/tex]

Substitute the values into the formula.

[tex]y-7= -2(x-5)[/tex]

We want to solve for y, because the standard form of a line is y=mx+b (where m is the slope and b is the y-intercept).

Distribute the -2.

[tex]y-7= (-2*x ) + (-2*-5)[/tex]

[tex]y-7= -2x+10[/tex]

7 is being subtracted from y. The inverse of subtraction is addition, so add 7 to both sides.

[tex]y-7+7=-2x+10+7\\y= -2x+17[/tex]

The equation of the line is y= -2x+17

Graph the function f(θ)=4sin(θ−π/2).​

Answers

Use Desmos it is a good tool

Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Answers

Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Step-by-step explanation:

12 +(-4) =
........................

Answers

Answer:

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Step-by-step explanation:

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Ο Α.
f(x) = x
B
g(x) = log2 (x)
Od
r(x) = 2
ор
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Step-by-step explanation:

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okaya
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