3
Find the slope and y-intercept from the following graph of a linear equation.

Step-by-step explanation:

f(x) = x + 3/ 2

For a

f(2) = 2 + 3 / 2

= ( 4 + 3 ) /2

= 7/2

For b

f(x) = x + 3/2

f^-1(x) = ?

Let y = f(x)

y = x + 3/2

Interchanging the roles of x and y we get,

x = y + 3 / 2

y = x - 3 / 2

Therefore f^-1(x) = x - 3 / 2

For c)

f ^ -1(12) = 12 - 3 / 2

= (24 - 3) / 2

= 21 / 2

Hope it will help :)

Answer:

13x

Step-by-step explanation:

you would just add the 2 numbers together and then keep the variable. if you know the variable (if there’s a sheet to go off of) then multiply and add but otherwise it’s just 8 + 5 then add an x. 13x

=====================================================

Explanation:

x is a placeholder for a number. Think of it like a box holding a number. Conveniently, the letter 'x' is in the word 'box', so its naturally fitting to use x here.

Writing 8x could represent the idea of us having 8 boxes that are identical. Adding on 5x means we add on 5 more boxes. This leads to 8+5 = 13 boxes in total.

This is one way to see how 8x+5x = 13x

Another way is to write it like this: 8x+5x = (8+5)x = (13)x = 13x. I used the distributive property here.

Combining these terms is possible because 8x and 5x are like terms. They have the same variable and same exponent. We're adding two of the same type of object together.

Answer:

6.47secs

Step-by-step explanation:

Given the height of the rocket modelled by the equation;

h = – 16t^2 + 102t + 10, where ‘t' is the time in seconds

The rocket will hit the ground at h = 0

Substitute into the equation

– 16t^2 + 102t + 10 = 0

Multiply through by -1

16t^2-102t-10 = 0

t = 102±√(102)²-4(16)(-10)/2(16)

t = 102±√10404+640/32

t = 102±√11044/32

t = 102 ±105.09/32

t = 102+105.09/32

t = 207.09/32

t = 6.47secs

Hence it will take 6.47secs for the rocket to hit the ground

Answer:

slope is 5/2

Step-by-step explanation:

5 over 2

Elimination method is the best method to solve the system of equations below

Two or more expressions with an Equal sign is called as Equation.

The given system of equations

6x + 3y = 21...(1)

2x – 3y = -13...(2)

Add equations (1) and (2)

6x+3y+2x-3y=21-13

8x=8

Divide both sides by 8

x=1

Now plug in x value in equation 1

6+3y=21

Subtract 6 from both sides

3y=15

Divide both sides by 3

y=5

By Elimination method we find the values of x and y.

Hence, Elimination method is the best method to solve the system of equations below

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

3.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

-7/12

Step-by-step explanation:

Answer:

-7/12

Step-by-step explanation:

-1/3 - 1/4 becomes -4/12 - 3/12

this is because 12 is the common denominator for both fractions. then subtract the numerators because when you add or subtract fractions, the denominator stays the same.

-4 - 3 = -7

the answer is

-7/12

the answer cannot be simplified so it remains the same

Answer:

Step-by-step explanation:

y=ax^2+bx+c we are given point (0,5) so if x=0, y=c, so c=5. We have two other points

(2,3)(4,9) which gives us

4a+2b+5=3 and 16a+4b+5=9

Subtracting twice the first from the second

16a+4b+5-8a-4b-10=9-6

8a-5=3

8a=8, so a=1, so using 4a+2b+5=3 we get

4(1)+2b+5=3

2b+9=3

2b=-6

b=-3 so our quadratic is

y=x^2-3x+5

Answer:

4t + 12 [tex]\leq[/tex] 80

Step-by-step explanation:

Set up an inequality where t is the cost of one ticket

Since her budget is $80, a less than or equal sign needs to be used.

4t will represent the total cost of the tickets, since she needs to buy 4. Add 12 to this to represent the parking cost:

4t + 12 [tex]\leq[/tex] 80 is the inequality.

Answer:

hi

Step-by-step explanation:

hi

Answer:

13

19 minus 6 is equal to 13 so your answer would be thirteen

Answer:

6.5 miles

Step-by-step explanation:

If she travels 2 1/6 in 1/3 hours you would simply multiply by 3 because she would need to travel 2 1/6 miles three times in order for an hour to pass.

Answer:

x =4

Step-by-step explanation:

Answer:

A=C+16

Step-by-step explanation:

Answer:

That smile tho lol

anywayssssss

b= 16 mm

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2= c^2, so-

12^2 +b^2= 20^2

144+b^2=400

b^2=400-144

b^2= 256

b= 16

Answer:

16 mm

Step-by-step explanation:

A²+B²=C²

12²+x²=20²

144+x²=400

x²=400-144

x²=256

√x = √256

x = 16

Answer:

Step-by-step explanation:

Answer:20 girls

Step-by-step explanation:the difference between 3 and 4 is one so there will be a difference of one between the 2 questions.

Answer:

Step-by-step explanation:

5 2/5 = [(5*5)]+2 / 5 = (25+2) / 5 = 27/5

(27/5)/(9/10) = 27/5 * 10/9

cross cancel 27 becomes 3 and 9 becomes 1, 5 becomes 1 and 10 becomes 2

= 3/1 * 2/1 = 6/1 = 6

Answer:

10

Step-by-step explanation:

round it by 2 and there you go!

Answer:

i think it is 15.9 but that is only if the two triangles are congruent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the coordinates (4, -2) and (24, -17), we are to find the slope of the line passing through the points

Slope = y2-y1/x2-x1

Slope = -17-(-2)/24-4

Slope = -17+2/20

Slope = -15/20

Slope = -3/4

Hence the required slope is -3/4

Answer:

$144

Step-by-step explanation:

$40+$40+$64= $144

Answer:

9/2

Step-by-step explanation:

3/4 x 6 can be thought of as multiplying 3/4 x 6/1

When multiplying fractions, multiply the numerator (top number) with the numerator, and the denominator with the denominator.

3/4 x 6/1 = (3x6)/(4x1)

3/4 x 6/1 = (18)/(4)

3/4 x 6/1 = 9/2

Let me know if this helps!

Answer:

92/

Step-by-step explanation:

3/4×6

18/4

9/2

hope it's helpful ❤❤❤❤

THANK YOU.

#

Answer

The answer is negative 14.

Step-by-step explanation:

When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.

Answer:

6

Step-by-step e