IV
What is the range of the function on the graph?
5
4+
3+
all real numbers
O all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
2+
1 +
-5 4 -3 -2 -11
1 2 3 4 5 X
h
-27
-37
I
-4
-5​

The vertex form of the quadratic equation is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

For a quadratic equation:

[tex]y = a*x^2 + b*x +c[/tex]

With vertex (h, k), the vertex form is:

[tex]y = a*(x - h)^2 + k[/tex]

In this case, we have the equation:

[tex]h(x) = x^2 - 6x + 3[/tex]

To get the x-value of the vertex we use the general formula:

[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]

To get the y-value, we evaluate the function in x = 3, so we get:

[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]

So the vertex is (3, -6).

Then the vertex form is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

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Answer:

50°

Step-by-step explanation:

Recall that an inscribed angle is half the arc length. Since Angle A measures 50°, this means that the arc length of BC (the intercepted arc) is 100°.

Arc BC is also representative of Angle D. In other words, the measure of angle D is half of 100°.

Angle D = 50°.

Answer:

d = 50°

Step-by-step explanation:

Inside a circle we can have inscribed angles (angles with the three points on the circle). These angles are half the length of the arc they inscribe.

The arc BC is inscribed by the angle of 50°, so we have:

[tex]50 = mBC/2[/tex]

[tex]mBC = 100\°[/tex]

The angle d inscribes the arc BC, so we have:

[tex]d = mBC/2[/tex]

[tex]d = 100/2[/tex]

[tex]d = 50\°[/tex]

Answer: 169 m²

Step-by-step explanation:

The area of a square can be found by taking a side length(13), and squaring it, to get, in this case, 139.

Hope it helps <3

Answer:

169 m²

Step-by-step explanation:

To find the area of a square, we can apply a formula.

[tex]A=s^2[/tex]

[tex]A=area[/tex]

[tex]s=side \: length[/tex]

The side length is given 13 meters.

[tex]A=13^2[/tex]

Solve for [tex]A[/tex].

[tex]A=13 \times 13[/tex]

[tex]A=169[/tex]

The area of the square is 169 meters squared.

Answer: [tex]f(x)=2(0.5)^x[/tex]

Step-by-step explanation:

Given, the exponential function [tex]y = ab^x[/tex] for a graph that includes (–3, 16) and (–1, 4).

On putting these points, we will have

[tex]f(-3)=16=ab^{-3}\\\\ f(-1)=4=ab^{-1}[/tex]

Now,

[tex]\dfrac{f(-3)}{f(-1)}=\dfrac{16}{4}=\dfrac{ab^{-3}}{ab^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b^{-3}}{b^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b}{b^3}=\dfrac{1}{b^2}\\\\\Rightarrow\ b^2=\dfrac{1}{4}\\\\\Rightarrow\ b=\pm\dfrac{1}{2}=\pm0.5[/tex]

since the multiplicative factor cannot be negative, so b= 0.5.

At b= 0.5

[tex]4=a(0.5)^{-1}\\\\\Rightarrow\ 4=a(\dfrac{1}{2})^{-1}\\\\\Rightarrow\ 4=a(2)\\\\\Rightarrow \ a=2[/tex]

So, the required function is [tex]f(x)=2(0.5)^x[/tex].

Answer:    [tex]f'(1)=\dfrac{4}{2y+1}[/tex]

Step-by-step explanation:

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

Given:         0 = 2x² - xy - y²

Derivative:  0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

                   y'(2y + 1) = 4x

                   [tex]y'=\dfrac{4x}{2y+1}[/tex]

[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]

Hey there! I'm happy to help!

First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).

0.6×140=84

We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!

0.25×84=21

Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.

Have a wonderful day! :D

Answer:

The answer is C) 21

Step-by-step explanation:

I'm right, trust me :)

Answer:

V = 7*4*1

V = 1*4*7

V = 4*7*1

Step-by-step explanation:

The volume is found by

V = l*w*h

V = 7*4*1

We can multiply in any order

Answer:

Choices 2, 5, 6

Step-by-step explanation:

Rectangular Prism Volume: whl (width ✖️height✖️length).

4✖️7✖️1

Anything that is same with that is the answer, therefore, choices 2, 5, and 6 are correct.

I hope this helps you!

Answer:

The answer is

Step-by-step explanation:

3√x + 7

x = 25

Substitute the value of x into the expression

That's

3(√25) + 7

√25 = 5

So we have

3(5) + 7

= 15 + 7

Hope this helps you

Answer:

22

Step-by-step explanation:

3 + 7 if x = 25.

3/25+7

3x5+7 multiply

15+7 calculate

solution =22

got it right on the test!

Answer:

c=8

Step-by-step explanation:

do find c, we do 64/8=8. We can check our work by doing 8*8 which is in fact 64

Answer:

This indicates that the point of intersection is: (8,-6)

Step-by-step explanation:

The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.

The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.

In this case you have y=14−2.5x and y=1.5x−18

Equating the equations you get:

14-2.5x=1.5x-18

Solving:

14+18=1.5x+2.5x

32=4x

32÷4=x

x=8

Replacing in both equations: y=14-2.5*8=-6

y=1.5*8-18=-6

This indicates that the point of intersection is: (8,-6)

The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18

Answer:

1 Employee gets = Rs 13,020

Step-by-step explanation:

25% profit = Rs 26,04,000

Bonus is always 20% of the profit

So, Bonus:

=> 26,04,000/5

=> Rs 520,800

50% bonus  from the profit = 520,800/2

=> Rs 260,400

This was divided equally among 20 employees.

So, Each Employ gets:

=> 1 Employee = 260,400/20

=> 1 Employee gets = Rs 13,020

Answer:

Option B.

Step-by-step explanation:

Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].

It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).

Let as consider the two functions,

[tex]f(x)=3^x[/tex]

[tex]g(x)=5x+12[/tex]

Now, table of values is

Month(x)        [tex]f(x)=3^x[/tex]           [tex]g(x)=5x+12[/tex]

    1                      3                          17

    2                     9                         22

    3                     27                        27

    4                     81                        32

From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).

In month 3, heights are equal.

In month 4, height of the f(x) plant exceed that of the g(x) plant.

Therefore, the correct option is B.

Answer:

1/8

Step-by-step explanation:

Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8

Hi

An inverse variation is of the  form  :  f(x) = k/x  where k is a number  and x the variable.

In a inverse variation , the product of   x*y  is for all point always the same which is  K  

so  2*8 = 16    so K = 16  and  f(x) = 16/x

if x = 3  then   f(x) = 3   so :   16/x = 3  ;   3x = 16  ; x ⇒ 16/3

Answer:

true bc i am smart

Answer:

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

The median is the middle line of the box plot

Answer:

def 80

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

For every 3 minutes she spend running, she spends 5 minutes lifting weight so that would be [tex]\frac{3}{5}[/tex] as fraction.

So, therefore, the answers are B and E.

Answer:

Jordan weighs 120 pounds, Sam weighs 60 pounds

Step-by-step explanation:

We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.

Answer: Jordan=120. Sam=60

Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation

2x+x=180

3x=180

x=60

Then we can substitute x in Jordan and sams values to get our final answe;

Jordan=120. Sam=60

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

slope of WU = (4 - 1)/(2 - 0) = 3/2

slope of VU = (2 - 4)/(5 - 2) = -2/3

product of the slopes: 3/2 * (-2/3) = -1

The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, <U is a right angle.

The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope of WU = (4 - 1)/(2 - 0) = 3/2

The slope of VU = (2 - 4)/(5 - 2) = -2/3

The product of the slopes: 3/2 * (-2/3) = -1

Thus, The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, angle U is a right angle.

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Answer:

210.8

Step-by-step explanation:

Answer:  Rounded, the diagonal is 4.6 feet

Step-by-step explanation: Use the Pythagorean Theorem:  c² = a² + b²

Then take the square root of c² to find the length

2.25² =5.0625  This is a²

4² = 16  This is b²    Add a² + b²  to get c²

5.o625 + 16 = 21.0625 This is c²

√21.0625 = 4.589389938 This is the square root.

Round this to common measurements or "significant digits"  4.6 feet.

Answer:

12.5 feet

Step-by-step explanation:

So we would not have to worry about any line other than red so we would divide 5 cm by 2 cm which is 2.5 cm and if you multiply that by 5 you would get 12.5 feet

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

                                                  3 21

                                                 6 42

                                                  9 63

                                                 12 84

We can find the rate of change for the previous year by using the slope formula

m = (y2-y1)/(x2-x1)

m = (84-63)/(12-9)

    =21 / 3  

    = 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

Answer:

Part A: 8 dollars/brushel

Part B: 1 dollar/brushel

Step-by-step explanation:

Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:

[tex]f(x)=8x[/tex]

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.

We know that a linear function has a constant rate of change, and that is called SLOPE.

In order to calculate the slope of the linear function:

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]

Therefore, the rate of change of a bushel of corn in the current year is 8

Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.

Previous Year Number of Bushels Price of Corn (dollars)

Ordered pairs:

[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]

Let's calculate the slope again.

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]

The difference is  1 dollar/brushel.

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

Answer:

12

trust me it works i just took the test.

Answer:

320

Step-by-step explanation:

0.83333333x384=319.9999999=320

Answer: The Awnser to this equation is C, AE is equal to 25

Answer:

C. 25cm

Step-by-step explanation:

So D and B are too long even longer than AD so that brings us to A or C.

A is too small.

Thus, by logic and reasoning C. 25cm is the correct answer.

Answer:

r]

Step-by-step explanation: