-
Consider the function f(x)=10^x
and function g.
g(x)= f(x+4)
How will the graph of function g differ from the graph of function f?
A.The graph of function g is the graph of function f shifted 4 units to the right.
B. The graph of function g is the graph of function f shifted 4 units down.
C. The graph of function g is the graph of function f shifted 4 units up.
D.The graph of function g is the graph of function f shifted 4 units to the left.

Answer:

a. 3

b. 12

c. In. and "

d. ft. and '

Step-by-step explanation:

c. 13in. or 13"

d. 13ft. or 13'

Answer:

True

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

If Ken has 64 pens and is putting them into bags then 64 divided by 4 will give you the amount of times that 4 can be separated by, which is your bags

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

1/5x

Step-by-step explanation:

1/5x

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:

Step-by-step explanation:

270° counterclockwise rotation is same as 90° clockwise

The rule is:

Given points:

Translated points:

The solution to the system of equation is the point where both lines intersect and it is at (3, 0)

Given the following system of equations

x + y = 3

- 2x + y = -6

Graphically, the point where both lines intersect on the place is the solution to the given system of equation.

From equation 1, x = 3 - y

Substitute into equation 2:

- 2(3-y) + y = -6

-6 + 2y + y = -6

3y = -6 + 6

y = 0

Substitute y = 0 into any of the equation

x + y = 3

x + 0 = 3

x = 3

Hence the solution to the given system of equation is (3, 0)

Learn more on system of equation here: https://brainly.com/question/25976025

#SPJ1

Answer:

Step-by-step explanation:

Given:

Substitute x= -3:

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

16.67

Step-by-step explanation:

3/7=0.42 and 21/3=7 and 7/0.42=16.67

Answer:

0 ≤ < 2

Step-by-step explanation:

Answer:1.02 5.27 are correct

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

3u^2 + 6u - 4 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 3, b = 6, and c = -4. Substituting these values, we get:

u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)

u = (-6 ± sqrt(84)) / 6

u = (-3 ± sqrt(21)) / 3

Therefore, either:

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

3 x 2 − 2 x -5

Step-by-step explanation:

The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

Answer:

224

Step-by-step explanation:

360.-136.

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

Answer:

Step-by-step explanation:

'3s' represents 'three times Sydney's age.'

Answer:

three times Sydney's age

Step-by-step explanation:

i took a test on this

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

The coordinates of point F are 4 and negative 2.5. Option C is correct.

A Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point on a Cartesian plane.

It is the perpendicular distance between that point and the horizontal and vertical axes, which are commonly referred to as the x-axis and y-axis.

The location is then written as (a,b), where 'a' is the point's shortest distance from the y-axis, 'b' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x-axis.

'c' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x.

The coordinates of point F are 4 and negative 2.5.

Hence, the Option C is correct.

To learn more about the Cartesian plane refer;

https://brainly.com/question/27538987

#SPJ1

Answer:

112

Step-by-step explanation:

120*6=720

3*125=375

2*116.5=233

375+233=608

720-608=112

answer=112

$0.81 per cup.

There are 4 cups in a quart, so there are 8 cups in total . $6.48 ÷ 8 = $0.81

Answer:

$0.81 per cup

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

\(\frac{2}{5} \div 4 = \frac{2}{5} * \frac{1}{4}\)

we multiply by the reciprocal when we work with fractions and division.

Now you just multiply across.

Therefore, you have 2/20, which simplifies to 1/10.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

The simplest form of 2/5 divided by 4 is 1/10.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example: 2/3, 5/7, 1/3

We have,

2/5 ÷ 4

= (2/5) / 4

= 2 / (4 x 5 )

We cancel the common factor from the numerator and denominator.

= 2 / (2 x 2 x 5)

= 1 / (2 x 5)

= 1 / 10

We see that there is no common factor to be canceled out from the numerator and the denominator.

= 1/ 10 is our simplest form.

Thus the simplest form of 2/5 divided by 4 is 1/10.

Learn more about fractions here:

https://brainly.com/question/1627825

#SPJ2

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

https://brainly.in/question/13325111

Answer:

(2,3)

Step-by-step explanation:

\(y=(2)^{2}-1=4-1=3\)

when x = 2, y = 3

Hope this helps

Answer:

11

Step-by-step explanation:

Hopefully you can see that this is an isosceles triangle and remembering the inequality theorem of a triangle (4,4,11 triangle cannot exist).  Iso triangle has two side the same length - as well as two angles the same.

Answer:

thye answer is -5f

Step-by-step explanation

|×-2| < 13​

Absolute value: there are 2 results

x-2 < 13

x < 13+2

x< 15

x-2 > -13

x > -13+2

x> -11

solution:

-11 < x < 15

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

Know more about the cube

https://brainly.com/question/19891526

#SPJ1

Step-by-step explanation:

range=highest -lowest

=9-1

=8

mode=greatest frequency

=9