Consider the quadratic function y = 1/5(x - 2)2 + 5.
Which statements are true about the function and its graph? Select two options.
The vertex of the function is (-2,5).
There are no real roots for the function.
The graph of the function opens down.
The graph contains the point (2,5).
The graph intersects the x-axis at one unique point.

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

Answer:

60x36x120

Step-by-step explanation:

Because the scale factor is 1:12, you multiply the dimension of the building by 12.

Answer:

4

Step-by-step explanation:

5x+10=30

   -10  -10

5x=20

(divide both sides by 5)

x=4

hope this helps

Answer:

180-130=50°

Step-by-step explanation:

answer is 50degrees

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Answer:

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Step-by-step explanation:

Answer:

reeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

In this experiment, It would have been scientific to compare the result of the experiment on the experimental group(taking the multivitamin) with the control group (Taking no medicine)

Without a control group, a defined impact of multivitamin over the experimental group cannot be deduced.

Hence, option D is correct

Answer:

10

Step-by-step explanation:

You add all the numbers and then divide by the amount of numbers (in this case, 8)

Answer:

Step-by-step explanation:

Mean is average

Add all numbers up

Then divide by the amount of numbers (8)

thats the mean

Answer:

A translation is when you move in a direction but the shape doesn't turn or change.

You translate an image by moving a shape in any direction without turning it for example: *draw a shape* then move it to anywhere but don't turn the shape.

An easy way of finding the new coordinates is just by looking to which respect it's too. For example when you do a respect to the y axis you keep the second number in the coordinate pair and change the first number's sign in the coordinate pair same to the x axis.

It depends on their sign. Change in x-coordinate. Change in y-coordinate. Right. Increases. No Change. Left. Decreases. No Change. Up. No Change. Increases. Down. No Change. Decreases .

We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).

Answer:

64°

Step-by-step explanation:

Angles in a straight line add up to 180° so 180° - 116° = 64°

Answer:

X = 85°

Y = 45°

Step-by-step explanation:

95° + x = 180° [angles on a straight line]

x = 180° - 95°

x = 85°

50° + x + y = 180° [sum of angles in a triangle]

50° + 85° + y = 180°

135° + y = 180°

y = 180° - 135°

y = 45°

Answer:

1/3 i believe

Step-by-step explanation:

Answer:

The surface area should be 256 cubic inches

Step-by-step explanation:

The equation you use to find surface area is A=(wl+hl+hw)*2. The w stands for width (8) the l stands for length (8) and the h stands for height (4). When we put these numbers into the equation we get A=(8·8+4·8+4·8)*2. We do the multiplication first, then we add all of them up and times by 2; this gives us our answer of 256.

hope this helps:)

plz can i get brainliest.

Answer:

8b-32

Step-by-step explanation:

21b-32+7b-20b

=21b+7b-20b-32

=8b-32

Answer:

[tex]A=17.99\ in^2[/tex]

Step-by-step explanation:

Given that,

A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

We need to find the area of the cloth.

The side lengths form an isosceles triangle. The formula for the area of the isosceles triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

[tex]h=\sqrt{a^2-\dfrac{b^2}{4}}[/tex]

So,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4}}[/tex]

Put a = 6 and b = 8.5

So,

[tex]A=\dfrac{1}{2}\times 8.5\times \sqrt{6^2-\dfrac{8.5^2}{4}}\\\\A=17.99\ in^2[/tex]

So, the area of the cloth is equal to [tex]17.99\ in^2[/tex].

Step-by-step explanation:

As,

x + 14 + 3x = 90 [Complementary Angles]

=> 4x = 90 - 14

=> 4x = 76

[tex] = > x = \frac{76}{4} [/tex]

=> x = 19

Hence,

<1 = x + 14°

= 19 + 14 = 33°

<2 = 3x

= 3 × 19° = 57°

Answer:

B

Step-by-step explanation:

the second option!

Answer:

It would be 360/n

Step-by-step explanation:

Every shape's exterior angles must combine to form a 360* shape (meaning "full-circle" even though they are not circles). So you must divide 360 by the number of angles a shape has.

Ex #1: A Square has four angles, so the equation to finding the degrees of each exterior angle is 360/4, which equals 90. So 90* per exterior angle.

Ex #2: A Decagon has 10 angles, so the equation to finding the degrees of each exterior angle is 360/10, which equals 36. So 36* per exterior angle.

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

Answer:

x = 20

Step-by-step explanation:

These angles are equal to each other because they are vertical angles.

Hence, we can equal the two measurements together to solve for x:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

Check your work:

3(20) + 50 = 6(20) - 10

60 + 50 = 120 - 10

110 = 110

Correct

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

Answer:

40 degrees!

Step-by-step explanation:

95 + 45 = 140

180 - 140 = 40

Answer:

[tex]\frac{1}{8}[/tex] gallon per person

Answer:

yeah what mya said 1/8

Step-by-step explanation:

gl

Answer:

75 inches

Step-by-step explanation:

First, the perimeter of a rectangle is 2(length)+2(width). The length and total of the perimeter was given to us, so the equation looks like 2(48)+2(w)=246

96+2w=246 (multiply and add where you can on both sides)

2w=150 (get all of the variables on one side and the numbers on the other)

w=75  (simplify to get your final answer)

width is 75 inches. [make sure to add the units!]

(お役に立てれば)

here total second=170 second

probability that is not red=

[tex] \frac{12}{284} [/tex]

Step-by-step explanation:

i think that is the portability that is not red

The probability that the light is not red is 13/17

The given parameters are:

Green = 2 minutes

Red = 40 seconds

Yellow = 10 seconds

Express green as seconds

Green = 120 seconds

The probability that the light is red is:

P(Red) =Red/Total

This gives

P(Red) = 40/(120 + 40 + 10)

Divide

P(Red) = 4/17

The probability that it is not red is:

P(Not Red) = 1 - P(Red)

This gives

P(Not Red) = 1 - 4/17

Subtract

P(Not Red) = 13/17

Hence, the probability that the light is not red is 13/17

Read more about probability at:

https://brainly.com/question/251701

Answer:

75

Step-by-step explanation:

root21² + root72²= 75