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3 years ago

Consider the function.

Mathematics

1 answer:

Novay_Z [31]3 years ago

3 0

Answer:

f(x) has a slope of -1 and has a range of all real numbers.

Step-by-step explanation:

A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:

x-Intercept

$0 = - x-24$

$x = -24$

f(x) has a x-intercept of (-24,0).

y-Intercept

$f(x) = 0 - 24$

$f(x) = -24$

f(x) has a y-intercept of (0, -24).

Lastly, the linear function has a slope of -1.

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If anyone can tell me how to do 26 that would be great PLEASE SHOW WORK

katovenus [111]

Hello from MrBillDoesMath!

Answer:

Discussion:

I stared at the numbers 19, 29, 39, 49, 59, 69,... for a second and noticed that adding 10 to any number gives the next number to the right. For example,

19 + 10 = 29

29 + 10 = 39

39 + 10 = 49

etc.....

A recursive formula would be:

a(0) = 19

a(n+1) = a(n) + 10 if n >= 0

Regards,

MrB

8 0

3 years ago

Point A is located at (-4,\ 9)(−4, 9) on the coordinate plane. Point B is located at (-4,\ -7)(−4, −7). What is the distance be

galben [10]

Answer:

AB = 16 units

Step-by-step explanation:

Given the coordinate (-4, 9) and (-4, -7)

Using the formula for calculating the distance between two points

AB = √(x2-x1)²+(y2-y1)²

AB =√(-7-9)²+(-4+4)²

AB = √(-16)²+0²

AB = √16²

AB = 16 units

Hence the distance between Point A and Point B is 16 units

8 0

3 years ago

Solve each inequality, graph the solution on the number line, and write the solution in interval notation

Lubov Fominskaja [6]

Answer:

$(-\infty,+\infty)$

Step-by-step explanation:

The given inequality is 3x-2>4 or $5x-3\leq 7$

We group similar terms to obtain: 3x>4+2 or $5x\le7+3$

Simplify to get:

3x>6 or $5x\le10$

x>2 or $x\le 2$

This implies that the solution set is all real numbers.

The solution in interval notation is $(-\infty,+\infty)$

5 0

3 years ago

12 out of 20 doctors agree 15 out of 30 doctors agree are the ratios equivalent

uysha [10]

No it is not because 15 out of 30 is half but 12 out of 20 is more than half

4 0

3 years ago

A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. If section C held 300 fewer

White raven [17]

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 = $1,139,200 - $1,252,200 = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A = 44,700 - B*(3/2) = 44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

3 0

2 years ago