Write the equation of a function whose parent function function, f(x) =x+5, is shifter 3 units to the right a. g(x) = x+3 b. g(x) = x+8 c. g(x) = x-8 d. g(x) = x+2

Answer:

(i) David: Daniel: Dennis= 2: 3: 7

(ii) David, Daniel and Dennis will get £1000, £1500 and £3500 respectively.

Step-by-step explanation:

(i) Let the amount of money obtained by David, Daniel and Dennis be x, y and z pounds respectively.

x +y +z= 6000 -----(1)

y= 1.5x -----(2)

z= 3.5x -----(3)

Let's write the amount of money each gets in terms of x.

David --- x

Daniel --- 1.5x

Dennis --- 3.5x

In ratio, David: Daniel: Dennis

= 1: 1.5: 3.5

= 2: 3: 7

This is obtained by multiplying 2 throughout the ratio as ratio is its simplest form is in whole numbers and does not have decimals.

_______

(ii) Now that we know how the money is shared in terms of ratio, we can easily determine how much each of them receives.

Total amount of money= £6000

Total number of units

= 2u +3u +7u

= 12u

Thus, 12 units represents £6000.

12u ----- £6000

1u ----- £6000 ÷12= £500

Amount of money David will receive

= 2u

= 2(£500)

= £1000

Amount of money Daniel will receive

= 3u

= 3(£500)

= £1500

Amount of money Dennis will receive

= 7u

= 7(£500)

= £3500

Extra notes:

• Units are represented by the letter 'u' in the working. They can also be called parts and their value is in relation to the total amount. Thus if David gets 2 units of the total money, and the total amount is 12 units, he receives 2/12 or ⅙ of the total sum of money.

Answer:

I can't read that...........

Answer:

Answer: 15 7/8

Step-by-step explanation:

Add the whole numbers first 6+9 to getting 15

Now find the lowest common denominator for both the fractions. In this case it is 8.

3/8 would stay the same however 1/2 would become 4/8. 4/8 + 3/8 is 7/8.

15 add 7/8 is 15 7/8

Answer:

The answer is B) 432

Step-by-step explanation:

The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.

I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.

Hence, B) 432 is the correct option.

Check screenshot of my work below.

(I forgot to include 48 on top of the division I just did. Don't mind that too much..)

A) 326

[tex] \frac{326}{9} [/tex]

[tex] = 36.2222222222 [/tex]

B) 432

[tex] \frac{432}{9} [/tex]

[tex] = 48[/tex]

C) 531

[tex] \frac{531}{9} [/tex]

[tex] = 59[/tex]

D) 630

[tex] \frac{630}{9} [/tex]

[tex] = 70[/tex]

so, the correct answer is option A.

Answer:

and?

Step-by-step explanation:

Answer:

47.5 Meters

Step-by-step explanation:

Find where the derivative changes from positive to negative (local maximum)

h(t)=[tex]-6t^2+30t+10[/tex]

h'(t)=[tex]-12t+30[/tex]

Find where the derivative equals zero

Theres no spot where the derivative wont exist because its a polynomial.

-12t=-30

t=[tex]\frac{5}{2}[/tex]

Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.

Now plug into original equation

h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]

=-37.5+75+10

=47.5

Answer:

m=2

Step-by-step explanation:

you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be

[tex]\frac{4-2}{3-2} = \frac{2}{1} = 2[/tex]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

Answer:

yes because the 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Use the equation

[tex] \frac{x - x1}{y - y1} = m[/tex]

So plug in the numbers

[tex] \frac{ 2 + 2}{3 - 4} = \frac{4}{ - 1} = - 4[/tex]

So if y=mx+b and there is no intercept the equation would be

[tex]y = - 4x[/tex]

Explanation:

There are 4 shots that land on the green in this sample size. The height of the  bar tells us this directly.

Add up the heights of each bar to get 4+5+7+3+5 = 24 which is the total number of shots. The probability of landing on the green is 4/24 = 1/6 = 0.1667 = 16.67% approximately. This rounds to 17%

kabanayan ako to si nstog

The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

What is Zeros of polynomial?

Zeroes of a polynomial are the points where the polynomial becomes zero.

Given that;

Zeroes of the polynomial are 2, 5 - i

Now, If one zero of polynomial is complex then another zero of the polynomial is its conjugate.

So, One root of polynomial = 5 - i

Then, The third zero of the polynomial = 5 + i

Thus, The polynomial are find as;

(x - 2) (x - (5-i)) (x - (5 + i)) = 0

So, The remaining zero of polynomial is (5 + i).

And, the linear factorization of the polynomial are;

(x - 2) (x - (5-i)) (x - (5 + i)).

Learn more about the complex roots visit:

https://brainly.com/question/14788607

#SPJ1

Answer:

496

Step-by-step explanation:

Multiply the 124 by 4 since there are 4 sets of 4 weeks in 16 weeks.

The number in the question that gives 28 after the operations is; 3

We are told that the product of seven and the sum of a number and 1 is 28.

Let the number be x. Thus;

7(x + 1) = 28

Use division property of equality to divide both sides by 7.

7(x + 1)/7 = 28/7

(x + 1) = 4

Use subtraction property of equality to subtract 1 from both sides to get;

x + 1 - 1 = 4 - 1

x = 3

Therefore, in conclusion the number is 3.

Read more at; https://brainly.com/question/10465740

Answer:

3

Step-by-step explanation:

k12

Answer:

(-4,-3)

Step-by-step explanation:

The point at which the two lines intersect each other will be the solution of the given system of equations . From the graph it cuts at ( -4,-3)

Answer:

( - 4, - 3 )

Step-by-step explanation:

The point is located in the III quadrant.

The nature of points in III quadrant is ( - x, - y )

So,

( - 4, - 3 ) is the correct answer.

Answer:

D. 5/6

Step-by-step explanation:

There are 30 marbles

If you add the black, red, and green marbles together, you get 25

25/30 is equivalent to 5/6

Answer:  7013 m^2

Step-by-step explanation:

Answer: 9,19

Range: The difference between the largest and smallest data in a data set.

nineteen (19) - nine (9) = 10 (which is equivelent to the given range 10)

Median: The value in a set that is most close to the middle of a range.

nine (9) and nineteen (19) the median would be 14

also, I needed more wording so it doesn't get taken down :(

Answer:$156

Step-by-step explanation: One year has 72 weeks in it. That means there's 26 weeks in half a year. If he gets a Gatorade three time each week that's 78 Gatorades.if each Gatorade costs two dollars then the dad would spend 156 dollars every half year.

Step-by-step explanation:

Before I discuss how to graph both equations, I believe that it is essential to understand the variables and constant related to linear equations.

The slope-intercept form is: y = mx + b, where:

m = slope (which tells you the steepness of the line).

b = y-intercept: this is the point on the graph where it crosses the y-axis. Its coordinates is always formatted as, (0, b). The b is the y-coordinate of the y-intercept that you use for the equation.

The standard form of linear equations is: Ax + By = C, where:

A, B, C are integers (whole numbers, and cannot be in fraction or decimal forms).  A and B ≠ 0, and A must be a positive integer.

Now that I have defined what the slope-intercept and standard form of linear equations are, we can proceed with working on graphing both equations.

In this equation, the slope (m) = -6, and the y-intercept (b) = -4.  As an ordered pair, the y-intercept is (0, -4). In order to graph this equation, start by plotting the y-intercept on the graph. Then, use the slope (rise over run) to plot other points on the graph (6 units down, 1 unit run). Your next point should occur at (1, -10).

You could simply connect these two points and draw a line, or plot another point on the graph using the slope technique mentioned in this post.

This equation is in standard form, Ax + By = C.  It is easier to graph a linear equation when it is in its slope-intercept form, y = mx + b.

In order to transform this equation into its slope-intercept form, start by subtracting 3x from both sides of the equation:

3x - 4y = 12

3x - 3x - 4y = - 3x + 12

-4y = -3x + 12

Next, divide both sides by -4 to isolate y:

[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]

y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is b = -3.

Similar to how we graphed the equation from question 7, start by plotting the y-intercept, (0, -3). Then, use the slope of the equation, m = ¾ (3 units rise, 4 units run) to plot the next point. The next point should occur at (0, 4).

Attached are the graphed equations.  

what upAnswer:

Step-by-step explanation:

Answer:

I don't know I'm a dog arf arf

Answer:

60 bags can be filled. ( 150 pounds / 2.5 pounds per bag = 60 bags)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

150 pounds divid to 2.5pound

Answer:

B.

Step-by-step explanation:

Use the multiplication table of 12 and find that 5x12=60. Answer B is the only one that has that.

No I don't know your thing

Answer:

Step-by-step explanation:

7/8 divided by 1/4

7/8 x 4/1 =7/2 = 3/1/2

Three and a half bags