MATHEMATICS HIGH SCHOOL

Graph y=−4/7x+1 . Please help.

Answers

Answer 1

Answer:

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided function.

$y=-(4)/(7)x+1$

The above function is a linear function.

We can draw the graph of the function with the help of 2 points.

Substitute x = 0 in the above function.

$y=-(4)/(7)(0)+1$

$y=1$

Substitute y = 0 in the above function.

$0=-(4)/(7)x+1$

$(4)/(7)x=1$

$x=(7)/(4)$

Now plot the points.

Draw a straight line passing through (0,1) and (7/4,0)

The required graph is shown below.

Answer 2

Answer:

Go to a website called desmos graphing calculator and it will help you out but I put a image of the graphed equation as well.

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A topical cream is sold in a 34-gram container. The average amount of topical cream used per application is 2\7 grams. How many applications can be made with the container?

Answers

Since an application is 2/7 grams.

Number of applications = 34 ÷ 2/7

= 34 × 7/2

= 17 × 7

= 119

Number of applications = 119

Final answer:

This is a division problem. You find the number of applications by dividing the total weight of the cream (34 grams) by the amount used per application (2/7 grams), which gives us 119 applications.

Explanation:

This is a problem of simple division under the topic of arithmetic in mathematics. You are given a total quantity of topical cream (34 grams) and you know how much is used per application (2/7 grams). So, the number of applications can be found by dividing the total quantity by the amount used per application.

To calculate, divide 34 (the total weight of the cream) by 2/7 (the amount used per application).

This gives us, 34 ÷ (2/7) = 119,

Therefore, you can make 119 applications with the container of cream.

Learn more about Division here:

brainly.com/question/2273245

#SPJ12

Evaluate and simplify if possible:

Answers

$(2x(3y - 4z))/(3(5x + 4z))$ Plug in the given values
$(2(4)(3(-1) - 4(-3))/(3(5(4) + 4(-3))$ Multiply where needed
$(8(-3 + 12)/(3(20 - 12))$ Add and subtract inside the parentheses
$(8(9))/(3(8))$ Multiply
$(72)/(24)$
3

Solve the following system. Verify the solution.y = 4x – 11
x = 2y – 13

Answers

y = 4x - 11
x = 2y - 13

    x = 2(4x - 11)- 13
    x = 2(4x) - 2(11) - 13
    x = 8x - 22 - 13
    x = 8x - 35
- 8x - 8x
-7x = -35
-7    -7
   x = 5
y = 4x - 11
y = 4(5) - 11
y = 20 - 11
y = 9
(x, y) = (5, 9)

Dish Network charges $100 for installation plus $55 each month for their service. If you have spent a total of $540, how many months have you had Dish Network?

Answers

Answer:

8 months

Step-by-step explanation:

cost = 100 + 55m where m is the number of months

540 = 100 + 55m

Subtract 100 from each side

540-100 = 100 + 55m -100

440 = 55m

Divide each side by 55

440/55= 55m/55

8 = m

8 months

Answer:

Step-by-step explanation:

55m + 100 = 540

55m = 440

m = 8 months

A musical instrument depreciates by 20% of itsvalue each year. What is the value, after 2
years, of a piano purchased new for $1200?

Answers

Answer:

$768 is the value of the piano after 2 years.

Step-by-step explanation:

First you need to find 20% of 1,200. To do so you would need to set up a proportion.

$(20)/(100)$ = $(x)/(1200)$ 20 x 1,200 = 24,000/100 = 240

Now, subtract that amount from the original 1,200 to get the amount after one year.

1,200 - 240 = 960.

Next, you need to find 20% of 960 again setting up a proportion.

$(20)/(100)$ = $(x)/(960)$ 20 x 960 = 19,200/100 = 192

Finally, subtracting this amount from it's new value.

960 - 192 = 768

The answer is:
768
As:
1200/5=20%=240
1200-240=960 (after 1 year)
960/5=20%=192
960-192=768 (after 2 years)

Consider the function f(x)=sin(2x)-1 and g(x)= 2 cos^2(x), both with domain [0,phi]. the line x = p intersects the graph of f in point A and the graph of g in point B. calculate the value of p for which the length of segment AB is maximal. Thank you please kindly answer this question

Answers

I think the correct value of p is 2.9 when dealing with this question. Since AB is a vertical line between f(x) and g(x), you know you subtract the upper function by the lower function to find the distance between them. In other words you are tying to find the x value (which can also be thought of as p) that produces the greatest value when g(x) is subtracted from f(x). The reason why g(x) is subtracted by f(x) is that g(x) is above f(x) over the domain of 0 to pi.
I found p by making the function d(x)=g(x)-f(x). Then I took the derivative of d(x) and found when the derivative of d(x) equals 0 since that indicates a maximum or a minimum of the function d(x). their ended up being 2 points from 0 to pi where the derivative of d(x) equaled 0. one at 2.9 and the other at 1.34. The value at 1.34 is a minimum and therefore can't be the right answer. The value at 2.9 is a maximum and is therefore the correct answer.
By the way I did all of my work on a graphing calculator which makes these types of questions a lot easier since it makes it so that you don't have to do it by hand.
I hope this helps. Let me know if I got anything wrong in the comments so that I can try to fix it.

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