1. g(x) = -2(x + 3) 2 - 1
Identify the a,h,k and vertex for each quadratic function

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

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Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

Answer:

2(2x+4)  4(x+2)  2(2x)+2(4)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Ee

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Answer:

the answer is 1.7320508076

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Answer:

Line 1: Undefined

Line 2: -4/3

Line 3: 4/3

Line 4: Undefined

Line 5: 7/3

Line 6: -7/3

Line 7: 0

Line 8: 0

Line 9: Undefined

Line 11: 0

Line 10 & 12: Undefined

Step-by-step explanation:

Use the slope formula (you can just search up the slope formula)

Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).

I hope this helps!

Answer:

layla is savege score in mobile legends and diego's score in ml is 20

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

Answer:

b -3,3 c 6,9 hope this helps

Answer:

[tex] {x}^{3} \sqrt{x} [/tex]

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

it will be explained you about how to find solutions.

Answer:

B

Step-by-step explanation:

Y is the like term here, so add them together: 3y+4y=7y.

So now you have 7y+6

Answer:

x = 5

Step-by-step explanation:

39° + 90° + (7x + 16)° = 180°

39 + 90 = 129

180 - 129 = 51

7x + 16 = 51

7x + 16 - 16 = 51 - 16

7x = 35

7x/7 = 35/7

x = 5

Answer:

Step-by-step explanation:

1) 5+2*1-3+8 = 5+2-3+8 = 7-3+8 = 4+8 = 12

2) 2+5*1 = 2+5 = 7

Answer:

a) 5+2 x 1-3+8

5+2-3+8

=12

b) 2+5 x 1

2+5

=7

Step-by-step explanation:

Answer: 1, 0

Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.

The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.

So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

Hence, the above answers are correct.

Learn more about values here: https://brainly.com/question/20347857

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Answer:

30

Step-by-step explanation:

That means that there are 6 pie pieces in each pie so just multiply by 5

another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6

Answer:

x=1/3,-2

Step-by-step explanation:

A number base is the number of digits or combination of digits that a system of counting uses to represent numbers. A base can be any whole number greater than 0. The most commonly used number system is the decimal system, commonly known as base 10. ... Binary is the most commonly used non-base 10 system.

Step-by-step explanation:

hope it helps ☺️

Answer:

An equilateral triangle has all its 3 angles the same.

Hope this helped. :)  

Equilateral triangle:

An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.

Additionally, an equilateral triangle has three equal angles of 60 degrees.

Equilateral Triangle Perimeter:

In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.

In the event that ABC is an equilateral triangle, then its perimeter is;

Perimeter = AB + BC + AC

P = a + a + a

P = 3a    [where "a" is the triangle's side length.]

To read more about "Equilateral Triangle" here:

brainly.com/question/10681095