A ball is thrown from an initial height of 4 feet with an initial upward velocity of 36 ft/s. The ball's height h (in feet) after seconds is given by the following.
h=4+36t-16t^2
Find all values of t for which the ball's height is 20 feet.

Answer:

x^(9/7)

Step-by-step explanation:

inverse function f(x) = (x^(1/9))^7 = x^(9/7)

Answer:

B

Step-by-step explanation:

No, because for x = 7, there are two values of y

Answer:

[tex]\huge\boxed{\sf No.}[/tex]

Step-by-step explanation:

For a relation to act as a function, the x-values (domain) of the relation should NOT be repeated.

Here,

In domain(x-values), 7 is being repeated. Hence, the relation is not a function.

[tex]\rule[225]{225}{2}[/tex]

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Answer:

the table of 6-8 is the values of x so starting with 0 would be 568

Answer:

7

Step-by-step explanation:

First, we need to get rid of the square root. To do this, square both sides.

(x - 5)^2 = √((x - 3)^2)

x^2 - 10x + 25 = x - 3

Next, continue simplifying

x^2 - 10x + 25 - x + 3 = 0

x^2 - 11x + 28 = 0

(x - 7)(x - 4) = 0

x - 7 = 0         and        x - 4 = 0

x = 7              and        x = 4

Next, plug in these values into the equation

x = 7 ---> 7 - 5 = √(7 - 3)

              2 = √4

              2 = 2

x = 7 is a possible value

x = 4 ---> 4 - 5 = √(4 - 3)

               -1 = √1

x = 4 is an extraneous solution and not a possible value.              

Answer:

7 is the only solution

Step-by-step explanation:

x-5=square root x-3

7-5=square root 7-3

2=square root of 4

2=2

7 is a solution

4-5=square root 4-3

-1= square root of 1

-1=1

hopes this helps please mark brainliest

The ratio of the vertical lenght to the horizontal length of both triangles   from the graph is the same which is numerical equal to 1/2 and the slope of the line is 1./2.

A triangle is a plane shape that has three sides.

For triangle PRQ,

Ratio of the vertical lenght to the horizontal length of triangle PRQ(r) = Vertical length(v)/Horizontal length (h)

From the graph,

Given:

Substitute into equation 1

Similarly, for triangle SUT,

From the graph,

Given:

Substitute into equation 2

The slope the line is the same as the ratio of the vertical lenght to the horizontal length of both triangles

Therefore,

Slope of the line = 1/2

Hence, the ratio of the vertical lenght to the horizontal length of both triangles  is 1/2 and the slope is 1./2.

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The function g(t)=100(t-4)/84.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

g(0) = 4

g(1)= 4 + .84x

g(2)= 5.85

g(t) = mt+c

c = 4

g(t) = t-c/m = t-4/0.84 = 100(t-4)/84

Hence, the g(t)=100(t-4)/84.

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Answer:

part A=3x-23=28

part B=17

Step-by-step explanation:

3x-23=28

3x=23+28

3x=51

x=17

Answer:

complement of acute angle = 2x - 46

Step-by-step explanation:

supplementary angles sum to 180° , that is

acute angle + supplement = 180

acute angle + (2x + 44) = 180 ( subtract 2x + 44 from both sides )

acute angle = 180 - (2x + 44) = 180 - 2x - 44 = 136 - 2x

complementary angles sum to 90° , that is

acute angle + complement = 90

136 - 2x + complement = 90 ( subtract 136 - 2x from both sides )

complement = 90 - (136 - 2x) = 90 - 136 + 2x = 2x - 46

Answer: 18

Step-by-step explanation:

The required, example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

Here,
Being "underwater" on a car means owning more on a car than it is currently worth.

Based on the given options, the example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.

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Answer:

slope=-5; y-int=4

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m=slope b=y-int

y=-5x+4

slope=-5 y-int=4

Answer:

slope = -5; y-int= 4

Step-by-step explanation:

You find the slope by comparing the given equation to y=mx+b where m is equal to the slope.

You find the y-intercept by setting x=0 and solving for y

y=-5(0)+4

y=0+4

y=4

Answer:

Commission would be equal 270 dollars.

Step-by-step explanation:

To solve this we would use the formula:
Commission = SP x CP

Put values into the formula:
3,000 * 9%

3,000 * 9/100

30 x 9

Commission = $270

Thanks.

Answer: x = 45 degrees

Step-by-step explanation:

We can see that there is a straight line. A straight line is 180 degrees.

We also see a 90-degree angle. There are 2 angles that equal the same amount.

This gives the equation below:

90 + 2x = 180.

Now, we subtract 90 from both sides.

2x = 90.

Now, we divide both sides by 2.

x = 45.

This means that our final answer is 45 degrees.

Answer:

This is a complementary angle, which adds up to 90 degrees

8x + 7x = 90

15x = 90

x = 6

The nth term of the given Quadratic Sequence is n² + 2n.

Given, a sequence of numbers i.e. 3, 8, 15, 24, 35

Now, we have to find the nth term of this quadratic sequence

Let, the quadratic sequence be defined as,

f(x) = ax² + bx + c

Now, as we have f(1) = 3

So, a + b + c = 3 ... (1)

also, we have f(2) = 8

So, 4a + 2b + c = 8 ... (2)

also, we have f(3) = 15

So, 9a + 3b + c = 15 ... (3)

On solving Eq (1) & (2), we get

3a + b = 5 ... (4)

also, On solving Eq (3) & (2), we get

5a + b = 7 ... (5)

Now, on solving Eq (4) & (5), we get

2a = 2

a = 1

On substituting the value of 'a' in Eq. (5), we get

b = 2

So, the quadratic sequence be f(x) = x² + 2x.

Hence, the Quadratic Sequence f(x) = x² + 2x and the nth term be

n² + 2n.

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A statement which could be a representation of the events for the simulation is: Assign the numbers 1-7 to represent a made goal and the numbers 8-10 to represent a missed goal.

A simulation can be defined as a model which is designed and developed to imitate the operation of an existing (proposed) real-life system or natural phenomenon, in order to enhance the ability to study, analyze, and make informed decisions about it.

Since this soccer player made 67% of her goal attempts last season, the number of goals the player will make out of 10 attempts in a game is given by:

Number of goals = 67/100 × 10

Number of goals = 0.67 × 10

Number of goals = 6.7 ≈ 7 goals.

Therefore, this soccer player would score seven (7) goals while missing three (3) goals. Also, the 7 goals would be represented by 1 - 7 while the missed goals would be represented by 8 - 10.

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Answer:

$151.50 deducted

Step-by-step explanation:

Walter used his bank's ATM to withdraw $150. This was the sixth time he used the ATM in June. His bank does not charge for the first five ATM uses each month. After that, the fee is $1.50 for each use. What is the total he should subtract from his balance including fees?

1 charge of $1.50 + withdrawal of $150

= $151.50 deducted

The annual percentage yield (APY) is equal to 58.2%.

In Mathematics, annual percentage yield (APY) can be defined as the effective (real) rate of interest that is earned by an individual or business organization on an investment over a period of one year.

Generally speaking, annual percentage yield (APY) is calculated by considering the effect of compound interest. Mathematically, annual percentage yield (APY) can be calculated by using this formula:

Annual percentage yield (APY) = (1 + r/n)^{n} - 1

Where:

Substituting the given parameters into the formula, we have;

Annual percentage yield (APY) = (1 + 0.057/4)^{4} - 1

Annual percentage yield (APY) = (1 + 0.01425)^{4} - 1

Annual percentage yield (APY) = (1.01425)^{4} - 1

Annual percentage yield (APY) = 1.0582 - 1

Annual percentage yield (APY) = 0.0582.

Annual percentage yield (APY) = 58.2%.

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The cost of 15 uniform after multiplication is $1425. The team have enough amount to buy 15 softball uniforms.

What is multiplication?

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The numbers that are multiplied are referred to as the factors. Multiplying in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Here Number of uniform need by team = 15

Cost of one uniform = $95

Now , Total cost of 15 softball uniforms is,

=> Number of uniform * cost of one uniform

=> 15*95

=> $1425.

Here the team has $1500. Cost of 15 uniform is $1425.

=> 1500-1425 =$75.

After buying 15 uniforms they have remaining $75.

Therefore the team have enough money to buy softball uniforms.

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Vertex of the given parabola : (1,-9), Axis of Symmetry: x = 1, Y-intercept : (0, -8), x-intercept(s) :  (-2,0) and (4,0), and Concavity: opens up.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The graph of the parabola is given in the question.

According to the given graph, the required solution would be as:

Vertex of the given parabola : (1,-9)

Axis of Symmetry : x = 1

Y-intercept : (0, -8)

x-intercept(s) :  (-2,0) and (4,0)

Concavity: opens up

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Answer:

angles 4 is 88 degrees

Angles 3 is 92 degrees

Step-by-step explanation:

all 3 of angles of a triangle equal 180

47+45=92

180-92=88

Angles 4 is 88 degrees

Now since 3 is on a flat plane next to 4 we subtract 88 from 180 to find angle 3

180-88=92

92 degrees is angle 3

Hopes this helps please mark brainliest

Step-by-step explanation:

y-3=5/3(x+6)

y-3=5/3x+10

y=5/3x+13

No further work can be done.

The required equation in slope-intercept form is given as y = 5/3x + 13.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Slope intercept form is given as y = mx + c, where m is the slope of the line and c is y-intercept of the line.

Here,
Given equation,

y − 3 = 5/3(x + 6)

Following distributive Property
y - 3 = 5/3x + 5/3(6)

Following Simplification,
y - 3 = 5/3x + 5(6/3)
y - 3 = 5/3x + 10

Addition 3 on both sides,
y - 3 + 3 = 5/3x + 10 + 3
y = 5/3x + 13

Thus, the required equation in slope intercept form is given as y = 5/3x + 13.

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By the concept of function, the value of g(x) obtained is

g(x) = 3f(x) is the required function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the graph, it can be seen that

g(1) = 3 and g(-1) = 3

Let g(x) = [tex]kx^2[/tex]

g(1) = 3

[tex]k(1)^2 = 3\\k = 3[/tex]

So g(x) = [tex]3x^2[/tex] = 3f(x) is the required function

Option B is correct

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Complete Question

If f(x) = x², which equation represents function g?

A. g(x)=1/3f(x)

B. g(x)=3f(x)

C. g(x)=f(1/3x)

D. g(x)=f(3x)

The diagram has been attached here

On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .

In the question ,

it is given that

the equations are y = (-1/2)x + [tex]4\frac{1}{2}[/tex]  and 3x - 4y = 12

which can be written as y = (-1/2)x + 9/2  and 3x - 4y = 12

to plot the graph of the given equations , we need intercept .

For the equation y = (-1/2)x + 9/2

when x= 0  , y = (-1/2)(0) + 9/2 = 9/2

when y = 0 ,

0 = (-1/2)x + 9/2

(1/2)x = 9/2

x = 9

the points are (0 , 9/2) and (9 , 0)

For the equation 3x - 4y = 12

when x = 0 , 3(0) - 4y = 12

-4y = 12

y = -3

when y = 0 , 3x -4(0) = 12

3x = 12

x = 4

the points are (0,-3) and (4,0) .

after plotting the lines on the graph , we can see that the both the lines intersect at the point (6 , 3/2) ,

Therefore , On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .

The given question is incomplete , the complete question is

Consider this equation y = (-1/2)x +  [tex]4\frac{1}{2}[/tex]  and 3x - 4y = 12 .

Solve the system by graphing. label each graph.

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38 grams is equal to option d 1.3376 ounces.

Given,

We have to convert 38 grams to ounces

1 gram = 0.0352 ounce

Difference between ounce and gram;

In the United States and a few other nations, i.e., anyplace that is not metric, ounces are the main unit of mass used. It turns out that 1 ounce has a lot more mass than 1 gram if you're wondering how an ounce and a gram compare. In actuality, 28.35 grams are almost equal to 1 ounce.

Here,

1 gram is given as 0.0352 ounce

We have to convert 38 grams

Then,

38 x 0.0352 = 1.3376 ounces

That is,

38 grams is equal to option d 1.3376 ounces.

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Answer:

1.3376

Step-by-step explanation:

i did the 3.06 test and got it right

The point (0, 1) and (-2.5, 6) is the solution to y = 2x² + 3x + 1 and y = -2x + 1

From the information, we want to solve the system by graphing. y = 2x² + 3 x + 1 and y = - 2 x + 1.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Given the quadratic and linear equation, y = 2x² + 3x + 1 and y = -2x + 1, the solution is at the intersection of both equations. Here, the intersection point of the equations is the solution of the system i.e. (-2.5,6) and (0,1). Therefore, the point (0, 1) and (-2.5, 6) satisfies this equation.

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The equation that can help the student to determine his time is t = 10 / s.

The student lives 10 miles from school. He is trying to calculate the time it takes him to drive to school, t, as a function of the speed in which he drives, s.

The equation that the student can use to determine time can be represented as follows;

The speed formula can be defined as the rate at which an object covers some distance.

speed = distance / time

where

distance = 10 miles

t = time

s = speed

Hence,

speed = distance / time

time = distance / speed

Therefore, the equation is  t = 10 / s

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A + M = 18

M = 2A + 3

This is the SoE used, hope I helped

The system of the equations are M= 2 (A + 3) and M+A = 18

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given that Michael's age is 3 more than twice Ashley's age.

M= 2 (A + 3)

If M represents Michael's age and A represents Ashley's age.

The sum of their ages is 18.

M+A = 18

Simplifying the expression,

M= 2 (A + 3) and M+A = 18

Therefore, the system of the equations are M= 2 (A + 3) and M+A = 18

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