Suppose that when a car goes over a bump, the impact hat must be absorbed by the suspension is directly proportional to the square of the car's speed. Of a car going 12 mph receives 4000 units of impact, ow much impact will a car received at 30 mph

Answer:

Problem 1: y = 4x + 6

Problem 2: 48 soda bottles per minute

Step-by-step explanation:

Problem 1:

Equation of a line in slope-intercept form is given as y = mx + b.

Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.

Thus,

m = hourly fee = $4

b = initial deposit = $6

Substitute m = 4 and b = 6 into y = mx + b

Equation would be:

y = 4x + 6

Problem 2:

What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute

Using the two points (3, 144) and (8, 384),

Slope = ∆y/∆x = (384 - 144)/(8 - 3)

Slope = 240/5 = 48

Thus, the machine will make 48 bottles per minute

Answer:

x = 35, y = 26.5

Step-by-step explanation:

x = 35 ( Alternate angles are congruent )

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y - 10 + 35 + 102 = 180, that is

2y + 127 = 180 ( subtract 127 from both sides )

2y = 53 ( divide both sides by 2 )

y = 26.5

Answer:34567890-123rgegfgghdhe

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

I used my fingers and toes

Answer:

X=-1

Step-by-step explanation:

The correct equation could represent a vertical asymptote of the graph of the function is,

⇒ x = -1

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, According to the given table, we see that for x = -1, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.

So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.

Therefore, The correct equation could represent a vertical asymptote of the graph of the function is,

⇒ x = -1

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Answer:

N<5

Step-by-step explanation:

-4(3+n) > -32

-4(n+3) > -32

-(4n + 4 x 3) > -32

-(4n + 12) > -32

(-4n - 12) +12 > -32 + 12

-4n - 12 + 12 > -20

-4n > -20

4n/4 < 20/4

n < 2² x 5/ 2²

n<5

Answer:

Step-by-step explanation:

cats=c

at least it means that there are 25 minimum

c[tex]\geq[/tex]25

Answer:

it will be 271 because u multiple

The maximum value that the function reaches is 0, which occurs at x = 6.

ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Since a blank grid is given, we can plot the graph of the quadratic function f(x) = x^2 - 5x - 24 using the given points:

X: 10 -8 6 4 2 4 6 8 10

f(x): -116 -12 0 -8 -20 -8 0 8 24

The graph of the quadratic function looks like a parabola opening upwards, with the vertex at the point (2, -20).

Based on the graph, we can make the following observations:

Therefore, the statement that is NOT a true description of this quadratic function is:

"The function has a maximum value of 24, which occurs at x = 10."

This statement is not true because the function has a minimum value of -20 at x = 2, but it never reaches a maximum value of 24. The maximum value that the function reaches is 0, which occurs at x = 6.

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Answer:

n = 8, -6

Step-by-step explanation:

If this does not help, let me know and I can edit my answer

x=3

5x+3x-2=22

8x-2=22

8x=24

x=3

Answer: the answer is x

Step-by-step explanation:

5*x+3*x-2-(22)=0

Solve : 8 = 0

Solve : x-3 = 0

x = 3

Answer:

d

I hope that help

welcome

Answer:

3) yes, it is in the shaded region

4) no, it lies on a less-than line

5) yes, it lies on a greater-than-or-equal-to line

6) no, it isnt in the shaded region

Step-by-step explanation:

Answer:

3) yes

4) yes

5) yes

6) no

Step-by-step explanation:

the coordinites that are in the blue shaded area are yes

Answer:

Step-by-step explanation:

A rail transport freight train also bound for New Orleans leaves Baton Rouge at 1;30 PM on the same day. The train travels at 25 MPH and the river barge travels at 10 MPH. ... the barge leaves at 9:00 am so that would be at 9 hours past midnight. the train leaves at 1:30 pm so that would be at 13.5 hours past midnight.At 1.30 p.m. the barge has already traveled 4.5 X 10 = 45 miles.To catch up it will take the train 25-10 = 15 miles

Answer:

A) 2/3

B) 5/2

C)5/2

D) 5/6

E) 9/5

F) 49/6 (LOWEST TERM IT URSELF PLS)

Step-by-step explanation:

When

x = 3

x³ - 2x = (3)³ - 2 * 3

= 27 - 6

= 21

Hope it will help :)

Answer:

i think its 180

Step-by-step explanation:

Answer:

It's log 420

Step-by-step explanation:

mark is 26=x and marissa id 33

if you take 59 take away 7 you get 52

then you wil devide 52 and get 26

you will use the 7 you took out earlier and add it to one of the 26 which will give you mark(26=x) and marissas(33) age .

Answer:

112,5°

Step-by-step explanation:

angle of WXZ + angle of ZXY = 180

180 / 8 = 22,5

5 × 22.5 = 112,5 = angle of WXZ

There you go, hoped it helped!

Solution:

Rewrite 3 ≥ y - 2 for easier calculation:

y - 2 ≤ 3

Move the term:

y ≤ 3 + 2

y ≤ 5

When graphing the solution, filled dot (black arrow) is used for ≤ and ≥ while empty dot (white arrow) is used for < >

Answer:

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees so

67+a=180

a=113

Answer:

84 m squared

Step-by-step explanation:

Answer:

84 m²

Step-by-step explanation:

Area of parallelogram = (4 + 8)* 7 = 12*7 = 84 Sq m

Answer:

-41

Step-by-step explanation:

f(3) = -13x - 2

f(3) = -13(3) - 2

f(3) = -39 -2

f(3) = -41

Answer:

should be -41

Step-by-step explanation:

just did it