MATHEMATICS COLLEGE

tammy is 5 years younger than doris . in 4 years doris will be twice as old as tammy. how old is tammy now

Answers

Answer 1

Answer:

Answer:

Tammy is currently 1, and Doris is 6 in 4 years, Tammy will be 5 and Doris will be 10

Step-by-step explanation:

T=D-5

1+4=5

6+4=10

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PLEASE QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which number completes the system of linear inequalities represented by the graph? y > 2x – 2 and x + 4y > -12 -3 4 6

Answers

Answer:

-12

Step-by-step explanation:

Edge 2021

(a)/(5h+q)=t Find a (a)/ means fraction

Answers

Answer:

Step-by-step explanation:

a/(5h+q) = t

multiply both sides by 5h + q

a / (5h + q) * (5h+q) = t * (5h + q)

a = t * (5h + q)

I would say this is your answer.

You could distribute the t

a = 5ht + tq

which could also be an answer.

Verify the linear approximation at (0, 0) forf(x, y) = 7x + 4
5y + 1
â 4 + 7x â 20y

Let f(x, y) = 7x + 4 5y + 1 . Then fx(x, y) = ________

Answers

You need to plug in the (0,0) that’s it

The perimeter of a rectangle is 52 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 120 square feet. I need to find the solution set for this.

Answers

Answer:

2x+2y=52

x*y=120

Step-by-step explanation:

Final answer:

The possible lengths of a side of the rectangle are 22, 21, 20, 19, 18, 17, 16 feet.

Explanation:

To find the possible lengths of a side of the rectangle, let's use the formula for the perimeter of a rectangle, which is 2(length + width). We can set up an equation using the given information:

2(length + width) = 52

Dividing both sides by 2, we get:

length + width = 26

Now, to find the possible lengths, we need to consider the area. The formula for the area of a rectangle is length x width. We are given that the area is not to exceed 120 square feet, so we can set up the inequality:

length x width <= 120

Using the relationship length + width = 26, we can substitute length = 26 - width into the inequality:

(26 - width) x width <= 120

Simplifying the inequality, we get:

-width^2 + 26width - 120 <= 0

Now, we can solve this quadratic inequality to find the range of possible widths. Once we have the widths, we can substitute them back into the equation length + width = 26 to find the corresponding lengths.

By solving the quadratic inequality, we find that the possible widths are 4 <= width <= 10. Substituting these widths back into the equation length + width = 26, we get the corresponding lengths:

If width = 4, then length = 22

If width = 5, then length = 21

If width = 6, then length = 20

If width = 7, then length = 19

If width = 8, then length = 18

If width = 9, then length = 17

If width = 10, then length = 16

The possible lengths of a side of the rectangle are {22, 21, 20, 19, 18, 17, 16} feet.