Identify the vertex of
y = 2x2 − 4x − 2

Answers

Answer 1

vertex at

(

1

,

4

)

Explanation:

Given:

y

=

2

x

2

+

4

x

2

Convert the given form into "vertex form"

y

=

m

(

x

a

)

2

+

b

with vertex at

(

a

,

b

)

XXX

y

=

2

(

x

2

+

2

x

)

2

complete the square

XXX

y

=

2

(

x

2

+

2

x

+

1

)

2

2

XXX

y

=

2

(

x

+

1

)

2

4

XXX

y

=

2

(

x

(

1

)

)

2

+

(

4

)

which is the vertex form with vertex at

(

1

,

4

)

graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0

Answer 2
The answer is (1,-4)

Related Questions

Evaluate 2k + 3m if k= 1 and m=5

Answers

17

2(1) + 3(5) = 2+15 = 17

what word problem would fit for 7x+10=-3x-2

Answers

Answer:

A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.

Step-by-step explanation:

interpretation: 7x+10=-3x-2

If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20

A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x

Answers

Answer:

C. Y=4/25x

Step-by-step explanation:

If y varies directly as x, tis is expressed as;

y ∝ x

y = kx

k is the constant of proportionality

Goven

y = 16/5 and x = 20

16/5 = 20k

16 = 100k

k = 16/100

k = 4/25

Substitute k = 4/25 into the original equation

y = kx

y = 4/25 x

Hence the required expression is y = 4/25 x

find the slope please help!

Answers

Answer:

-3/4

Step-by-step explanation:

Get the coordinates of the two points and use the slope formula to find the slope.

We'll call the points point A and point B.

Point A's coordinates are (-3,1) and point B's coordinates are (1,-2)

Now, plug the numbers into the slope formula

Slope formula is: y2-y1/x2-x1

-2-1/1--3

-3/4

The table below shows the distribution of students by age in a high school
with 1500 students. What is the probability that a randomly chosen student is
14 years old?

Age
13, 14, 15, 16, 17, 18
Number of Students
15,375,450,420,225,15

A. 0.15
B. 0.30
C. 0.28
D. 0.25

Answers

Answer: 28

Step-by-step explanation:

Answer:

it is .28

Step-by-step explanation:

ayepexs

Could I get help with this ?

Answers

Answer:

top is -2,4 and bottom is 3,-2 ??

hope that what u need

Step-by-step explanation:

???

4/5 divided by 1/5 in unit form

Answers

Answer:

answer to your question is 4

whats 9+10 ? ;) im dumb so i dont know simple mafs

Answers

Answer:

the answer is 100% = 21

Step-by-step explanation:

Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of -1.
What is the x-intercept you are using?
What is the y-intercept you are using?
Show what you did to prove the slope is -1

Answers

Answer:

Step-by-step explanation:

Proof:

If:

x intercept is at a number nonzero "a"

so the point where it intersects the x-axis is at (a,0)

y-intercept is at the same nonzeronumber "a"

so the point where it intersects the y-axis is at (0,a)

Then:

slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1

x intercept is 2 (for example)

so the point where it intersects the x-axis is at (2,0)

y-intercept is 2

so the point where it intersects the y-axis is at (0,2)

slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1

simplify 4 - 3(-2a + 2) please!

Answers

Answer:

6a - 2

Step-by-step explanation:

4 - 3(-2a + 2)

4 + 6a - 6

6a - 2

If I’m correct brainliest pls I think it’s 4 - 3(-2a + 2)

Evaluate 2(5 + x2) + y if x = 3 and y = 2

Answers

Answer:

26

Step-by-step explanation:

please be fast ill give brainliest How many solutions does the system have? y=1/2x-1 and y=-x+5

Answers

Answer:

(4, 1)

Step-by-step explanation:

since y=1/2x-1 in the first equation, you can substitute it into the second one:

1/2x - 1 = -x + 5

then add x to both sides:

3/2x - 1 = 5

then add 1 to both sides:

3/2x = 6

then divide both sides by the fraction to get:

x=4

then you substitute 4 into y=1/2x - 1

y = 1/2(4)-1

y = 1

so your answer is x=4 and y=1

Solve the equation ƒ - (-4) = 12.

ƒ = -8
ƒ = 8
ƒ = 16
ƒ = -9

???

Answers

The answer is 8 have a good day
What he said answer is 8

2x+3y
help me please

Answers

Answer:

2 x + 3 y

Step-by-step explanation:

True or False
1. We find the x-intercepts of a function fby evaluating f(0).

2. The solutions of a function are the first coordinates of the
x-intercepts of the function.

3. We can use completing the square to solve any quadratic equation.

4. The function f(x)=-3(x+4)2-5 has a maximum value.

Answers

1. True
2. True
3. True
4. True

30 POINTS PLEASE help

Answers

Answer:

m= -1/7

b=2

Step-by-step explanation:

Given the equation f(t) = 225(1.23)

What is the rate of growth or decay?
%
What is the initial value?

Answers

Answer:

This function doesn't make sense, unless you make it f(t)=225(1.23)^x. I will assume that you forgot to add the x squared. The rate of decay is 23%. Since the base is between 1 and 0, it is an exponential decay and you'll need to subtract the r-value with 1. (If it were an exponential growth, you would have to add 1.) The initial value or the a-value is 225.

Choose the scenario that describes a proportional relationship.




Miguel earns $7.50 per hour while babysitting.


A hotel charges a flat rate of $12.00 to park in their parking lot.


A cellphone plan is $25 plus $0.05 per megabyte, MB, of data usage.


Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Answers

Answer:

Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table. :)

Step-by-step explanation:

The scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]where that middle sign is the sign of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

Thus, the scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ6

The equation (x – 5)2 = –2(y + 1) represents a parabola. Complete the statements describing the graph.

The vertex is
(5,1)
(5,-1)
(-5,1)
(-5,-1)

The graph opens
up
left
right
down

Answers

Answer:

(5,-1)

Step-by-step explanation:

TAKE ONE SIDE

(X-5)2=0

2X-10= 0

2X=10

X=10/2

X=5

THEN TAKE OTHE SIDE

-2(y+1) =0

-2y-2=0

-2y=2

y=2/-2

y=-1

So the answer is (5,-1)

And it should be in right down

(-5,1) , the graph opens down

What is an equation?

'An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.'

.Given equation: 2(x-5) = -2(y+1)

Evaluating left-hand side,

⇒ (x-5)2 = 0

⇒2x-10 = 0

⇒2x = 10

⇒x =10/2

⇒x = 5

Evaluating RHS,

⇒-2(y+1) = 0

⇒-2y-2 = 0

⇒-2y = 2

⇒y = 2/-2

⇒y = -1

Hence, we can conclude the vertex is at (-5,1) and the graph opens down.

Learn more about graphs here: https://brainly.com/question/4074088

#SPJ2

Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write and solve an inequality to find out how many blankets the team must donate on Friday to make or exceed their goal?

Answers

160 - 42 + 65 = 53 answer is 53
Jfbidbojbeist said the mail

ILL MARK AS BRAINLIEST!! PLEASE HELP FAST!!

Answers

Answer:

neither

Step-by-step explanation:

How to find the volume for a right triangle

Answers

Answer: length times width divided by 2

Step-by-step explanation: it's half a rectangle

B is a number larger than 1

Answers

B is greater than 1, so B>1

Answer:

b= infinity

Step-by-step explanation:

Because is b>1 than b can be 2, 3, 44, 100, 1000, 100000000213981623 and higher. There is no way to find the exact number though.

Consider the equation 6*e^{0.25t}=9

Solve the equation for t. Express the solution as a logarithm in base-e.

Approximate the value of t. Round your answer to the nearest thousandth

Answers

Answer:

t = ln1.5/0.25

t = 1.622

Step-by-step explanation:

Gives the equation, 6*e^{0.25t}=9

We are to find t

6*e^{0.25t}=9

e^{0.25t}=9/6

e^{0.25t}= 1.5

Apply ln to both Sides

ln( e^{0.25t) = ln1.5

0.25t = ln1.5

t = ln1.5/0.25

t = 1.622

Find the slope on the graph

Answers

Slope = rise/run
Slope = 3/4

1/3 + a = 5/4
A=? ..........................................................

Answers

11/12 I’m pretty sure

If there are 2.54 centimeters in an inch and 12 inches in a foot, how many centimeters in 3 feet

Answers

Answer:

91.44

Step-by-step explanation:

Answer:

3 ft = 91.44 cm

Step-by-step explanation:

We want to convert 3 ft to cm.

So we need a conversion factor.

Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).

Next, we convert 36 in to cm:

36 in    2.54 cm

-------- * ------------- = 91.44 cm

   1           1 in

Solve the Compound Interest Formula for time given:
250,000 = 12,000e^.125t

Answers

250000
=
13597.781437
t
Let's solve your equation step-by-step.
250000
=
13597.781437
t
Step 1: Flip the equation.
13597.781437
t
=
250000
Step 2: Divide both sides by 13597.781437.
13597.781437
t
13597.781437
=
250000
13597.781437
t
=
18.385352
Answer:
t
=
18.385352

Plzzz help. Giving 20 pts

Answers

Answer:

The ratio of the similar triangles is 6/4=3/2. Since BC-YZ in this case, 3*3/2=9/2=4.5 which is B.

Answer:

b

Step-by-step explanation:

A local little league has a total of 60 players, of whom 20% are right-handed. How many right-handed
players are there?
There are right-handed players.

Answers

Answer:

12

Step-by-step explanation:

Step one:

given data

total players in the league

60

we are told that 20% are right-handed.

Required

The number of right-handed players

Step two:

=20/100*60

=0.2*60

=12

There are 12 right-handed players.

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