What is the slope of this line?



Enter your answer as a fraction in simplest term in the box

Answer:

3.5.

Step-by-step explanation:

3^2 = 9

and 4^2 = 16 so the square root is between 3 and 4.

Take a rectangle 3.4 by 3.6:

the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.

3.5 * 3.5 = 12.25.

Answer:

Part 1):

Part 2):

Part 3):

Part 4):

Step-by-step explanation:

Considering the function

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

Part 1)

To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]

so

[tex]g(x) = x - 3[/tex]

Put x = 6

[tex]g(6) = 6 - 3[/tex]

[tex]g(6) = 3[/tex]

Then  

[tex]f(g(6))=f(3)[/tex]

[tex]=5(3)+4[/tex]

[tex]=19[/tex]

Therefore, [tex]f(g(6))=19[/tex]

Part 2)

To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]

so

[tex]f(x) = 5x + 4[/tex]

Put x = -7

[tex]f(-7) = 5(-7) + 4[/tex]

[tex]=-35+4[/tex]

[tex]=-31[/tex]

Then  

[tex]g(f(-7))=g(-31)[/tex]

[tex]= (-31) - 3[/tex]

[tex]=-34[/tex]

Therefore, [tex]g(f(-7))=-34[/tex]

Part 3)

To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]

[tex]f(x) = 5x + 4[/tex]

Put x = 8

[tex]f(8)=5(8)+4=40+4=44[/tex]

Then

[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]

Therefore,

[tex]f(f(8))=224[/tex]

Part 4)

Evaluate

[tex]g(f(x))[/tex]

As

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

so

[tex]g(f(x))=g(5x+4)[/tex]

            [tex]=(5x+4)-3[/tex]

            [tex]=5x+4-3[/tex]

            [tex]=5x+1[/tex]

Therefore,

[tex]g(f(x))=5x+1[/tex]

Answer:

Incorrect answers that were corrected:

Line CA is the same as line FD

angle B = angle E

angle C = angle F

Step-by-step explanation:

Answer:

$55.00 divided by 0.20 = 0.0275 = $2.75

$55.00 - $2.75 = $52.25

Answer: -37

Step-by-step explanation:

x - y

Substitute -11 for x and 26 for y

-11 - 26 = -37

Answer:

2 batches

Step-by-step explanation:

I will give no explanation

Answer:

Step-by-step explanation:

Draw a tape diagram then just dived them and you get 2 batches

Answer:

One Solution: x = - 4

Step-by-step explanation:

Step 1:

6x - 3x + 4 - 2x = 0         Equation

Step 2:

3x + 4 - 2x = 0            Combine Like Terms

Step 3:

x + 4 = 0       Combine Like Terms

Answer:

x = - 4         Subtract 4 on both sides

Hope This Helps :)

Answer:

You can buy 20 granola bars and 5 pounds of fruit. You can also buy 35 granola bars and 1 pound of fruit. You can also buy 30 granola bars and 2and a half pounds of fruit. You can also buy 24 granola bars and 4 pounds of fruit. There are a lot of combinations.

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

Answer:

you needed to mark this question for the science section

Step-by-step explanation:

Answer:

Step-by-step explanation:

P

Answer:

Answer is P

Hope this helps :)

Step-by-step explanation:

Given :

After 4 days, a plant is measured to be 10 inches tall.

Later, after a total of 20 days, then height is measured to be 18 inches.

To Find :

The rate of growth for the plant.

Solution :

We know, rate is given by :

[tex]Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day[/tex]

Therefore, rate of increase of height is 0.5 inch/day .

Hence, this is the required solution.

Answer:

-9

Step-by-step explanation:

-3(2) + (-3)

-6 + (-3)

-9

Answer:

f(-3) = 6

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

f(x) = x² + x

f(-3) is x = -3

Step 2: Evaluate

And we have our final answer!

Answer:

( Can you show me the table? I don't see a table..)

Step-by-step explanation:

Answer:

25 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<3=m<7=63

m<6+m<7=180

m<6=180-63

m<6=117

m<7=63

m<6=117

The measurement for ∠6 and ∠7 will be 63° and 117° respectively.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As we know the alternate opposite angle of the parallel lines are equal;

∠3 and ∠7 are alternate opposite angles;

So that;

m∠3=m∠7=63°

The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle

m∠6+m∠7=180

m∠6=180°-63°

m∠6=117

Substitute the value to get ∠7

m∠7=63°

m∠6=117°

Hence the measurement for ∠6 and ∠7 will be 63° and 117°.

To learn more about the angle measurement, refer to the link;

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Answer:

6.05%

Step-by-step explanation:

Initial price = £198

Increased price = £209.99.​

We need to find the percentage change in the price. It can be calculated as follows :

%=(increase in amount)/(initial price) × 100

Increase in amount = 209.99 - 198

= 11.99

So,

[tex]\%=\dfrac{11.99}{198}\times 100\\\\=6.05\%[/tex]

So, the increase in price is 6.05%.

Answer:

6.05%

Step-by-step explanation:

Answer:

Not me looking at the tabs

Step-by-step explanation:

Answer:I think the answer is forty minutes

Step-by-step explanation:

Answer:

Slope intercept form: y=mx+b; where m is the slope and B is the y intercept

For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.

To find the y intercept plug in the slope and the x, y into the equation y=mx+b:

y=mx+b

y=1x+b

2=1(2)+b

2=2+b

0=b

b=0

Now that we have your slope and y intercept we can make the equation:

y=1x+0

y=x

Step-by-step explanation:

Given:

Gary bikes 3.5 miles in [tex]\dfrac{1}{4}[/tex] of an hour.

To find:

The distance covered by Gary in [tex]\dfrac{3}{4}[/tex] of an hour at the same speed.

Solution:

We have,

Distance covered in [tex]\dfrac{1}{4}[/tex] of an hour = 3.5 miles

Distance covered in [tex]1[/tex] hour [tex]=4\times 3.5[/tex] miles

Distance covered in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{3}{4}\times 4\times 3.5[/tex] miles

                                                       [tex]=3\times 3.5[/tex] miles

                                                       [tex]=10.5[/tex] miles

Therefore, Gary could travel 10.5 miles in [tex]\dfrac{3}{4}[/tex] of an hour.

Answer:

Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers

Answer: -7 1/2

Step-by-step explanation:

The required number would be -3/10.which is the correct answer would be option (B).

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

We have been given that two-thirds of a number is equal to a negative one-fifth.

Let the number would be x

According to the given question, the required solution would be as:

⇒ (2/3)x = -1/5

Divided by (2/3) both sides of the above equation,

⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)

⇒ x = (-1/5)/(2/3)

Reciprocal the term in the numerator,

⇒ x = (-1/5) × (3/2)

Apply the multiplication operation, and we get

⇒ x = -3/10

Therefore, the required number would be -3/10.

Hence, the correct answer would be option (B).

Learn more about the number system here:

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Answer:

9 people per square mile

Step-by-step explanation:

Given that:

Area of Australia = 2.95 * 10^6 mi²

Approximate average Number of people per square mile :

This can be obtained by taking the proportion of the population of Australia and the Area of the land mass

Approximate population of Australia : 25,499,884 ( data obtained from internet)

Average number of people per square mile :

Approximate population / Land Area

25,499,884 / 2.95 * 10^6

= 8.6440284

Hence, there will be approximately 9 people per square mile.

Answer:

its c

Step-by-step explanation: