Find the equation of a line that passes through the points (1,-3) and (3,-7).
Leave your answer in the form
y=mx + c

Answer:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Step-by-step explanation:

Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.

Since each section of fencing is 1-foot long, both x and y must be integer numbers.

The perimeter of the rectangular space is calculated as:

P = 2x + 2y

And we know she uses all 30 sections of fencing, thus:

2x + 2y = 30, where x, y are integers and positive.

Simplifying by 2:

x + y = 15

Solve for x:

x = 15 - y

This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.

Another valid option is for y=2, x=13

Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.

Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.

The area of a rectangle is

[tex]A=x\cdot y[/tex]

Testing some possible arrangements:

y=1, x=14

[tex]A=1\cdot 14= 14 ft^2[/tex]

y=2, x=13

[tex]A=2\cdot 13= 26 ft^2[/tex]

y=3, x=12

[tex]A=3\cdot 12= 36 ft^2[/tex]

We can notice the combination y=7, x=8 has an area of:

[tex]A=7\cdot 8= 56 ft^2[/tex]

This is the largest possible area of all combinations, thus:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

Answer:

Step-by-step explanation:

[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]

Answer:

Use the site called quetext is helps when brarnly is not

Step-by-step explanation:

Answer:

a ≥ [tex]-\frac{64}{3}[/tex]

Step-by-step explanation:

You would solve this exactly as if the ≥ sign was an equal sign:

[tex](\frac{3}{4} )a[/tex] ≥ [tex]-16[/tex]   [Given]

3a ≥ -64   [Multiply 4 on both sides of the sign]

a ≥ [tex]-\frac{64}{3}[/tex]   [Simplify]

Hope this helps! I apologize if I'm incorrect

Answer:

r is the radius, area

Step-by-step explanation:

Good luck

Answer:

Step-by-step explanation:

The first blank is radius.

The circumference = 2 * pi  *  r

For the second answer, if you take 1/2 the circumference, you get pi * r

If you then multiply by r, you get pi * r * r

pi * r^2 = the area.

Answer:That’s um tuff

Step-by-step explanation:

can't see the graphs....

please edit the picture if u can.

Answer: 558^2

Step-by-step explanation: ( A= a+b/2 x h)

A= 28+34/2 x 18 = 558

hopefully this helps

Answer:

15

Step-by-step explanation:

Answer:

I am sorry I can't help

Step-by-step explanation:

please forgive me

answer is C

He made an error in Step 3. He should have subtracted 2 from both sides.

Answer:

c

Step-by-step explanation:

Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

Answer:

42

Step-by-step explanation:

516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes

Answer:

(-8) + (+17) = -8 + 17 = 9

Step-by-step explanation:

Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)

Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).

These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:

(-8) + (+17)

When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.

17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.

Thus:

(-8) + (+17) = -8 + 17

= 9

Answer:

34 ft.

Step-by-step explanation:

Use the theorem [tex]a^{2}[/tex] +  [tex]b^{2}[/tex] = [tex]c^{2}[/tex], and then square root that number.

[tex]16^{2} + 30^{2} =[/tex] [tex]\sqrt{1156}[/tex]  = 34. So the answer is 34 ft.

Answer:

Bobby Joe caught 34 fishes

Billy Ray caught 17 fishes

Step-by-step explanation:

Let the number of fish Bobby Joe caught = y

Let the number of Billy Ray caught = x

Total number of fish caught = 51 fishes

x + y = 51......... Equation 1

Billy Ray caught 17 fewer fish than Bobby Joe.

y = x - 17

Write an expression you can use to find out how many fish, f, each boy caught.

Substitute x - 17 for y in Equation 1

x + y = 51......... Equation 1

x + (x - 17) = 51

x + x - 17 = 51

2x = 51 - 17

2x = 34

x = 34/2

x = 17

Hence, Bobby Joe caught 17 fishes

x + y = 51

17 + y = 51

y = 51 - 17

y = 34

Hence, Billy ray caught 34 fishes

Answer:

7

Step-by-step explanation:

Answer:10 watermelons

Step-by-step explanation:

Answer:

13 protons

14 neutrons

13 electrons

Step-by-step explanation:

protons and electrons are mostly always the same

Answer:

Number of Protons 13

Number of Neutrons 14

Number of Electrons 13

Answer:

Yes, he did

Step-by-step explanation:

We have that:.

Total time = 45

At time t, he moves at 8mph.

This gives: 8t

The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).

Hence, the total is

8t + 5(45 - t)

By comparison, we can conclude that Larry modeled the situation correctly.

Answer: Yes ido

Step-by-step explanation:

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

Answer:

-5

Step-by-step explanation:

h(-2)=3(-2)+1

= -6+1

= -5

hope this help you!! :))))))

Answer:

below if you cant read it, it takes 80 quarters

Step-by-step explanation:

Answer:

The question is not complete, fortunately, I found a match:

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.

one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.

one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.

answer:

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Step-by-step explanation:

To calculate the scaling factor, we will divide the actual figure by the figure in the scale.

Before the change: 8cm in the drawing represents 40m

8cm ≡ 40m

∴ 1cm ≡ 40 ÷ 8 = 5m

∴ 1 cm represents 5m

After the change: 8cm in the drawing represents 32m

8cm ≡ 32m

∴ 1cm ≡ 32 ÷ 8 = 4

∴ 1cm represents 4m

Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Answer:

It’s the first choice

Step-by-step explanation:

Answer: 92

Step-by-step explanation:

Here's our set-up:

(70 + 75 + 80 + 83 + x) / 5 = 80

Simplify:

(308 + x) / 5 = 80

Multiply both sides by 5:

308 + x = 400

Subtract 308 from both sides:

x = 92

Answer:

92

Step-by-step explanation:

In order to get an 80 in 5 tests, he needs to accumulate 400 points.

If he accumulated 80+70+75+83 points, 308, he would need a 92 on the next test to get an 80 average.

Answer:

Step-by-step explanation:

7 ) -3p=-48

p=-48/-3

8) -98=7t

t=-98/7

9) -4.4 y =-4

y=-4/-4.4

10) 2.8 c=4.2

c=4.2/2.8

Answer:

Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.

Answer:

45

Step-by-step explanation: