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3 years ago

Which graph shows a proportional relationship?

Mathematics

2 answers:

frosja888 [35]3 years ago

6 0

Answer:

The fourth image

Step-by-step explanation:

rusak2 [61]3 years ago

6 0

The fourth image.......... can i get brainliest and thanks

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Paulita is buying 4 boxes of fruit loops. she has a coupon for 1.00 off each box. her total bill is 10.36. write and solve an eq

kotykmax [81]

The equation would have to be set up as 4b - 4 = 10.36. This is because you’re buying 4 boxes of fruit loops, and $1 taken off each box is $4 total for all four boxes.

6 0

4 years ago

Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (

vesna_86 [32]

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

$y'=6x^2+6x-12$

Next, find the zeros of y' by factoring.

$6(x^2+x-2)=0 \\ x = -2, x = 1$

Now, we substitute these x-values into the original equation to find the coordinates.

$(-2,21), (1,-6)$

6 0

4 years ago

find three consecutive integers. such that 4 times of first integer is 18 more than the sum of the second and third integer

Juliette [100K]

Three consecutive numbers are x, x+1 and x+2.

Four times the first integer is 4x

The sum of the second and third is (x+1)+(x+2)=2x+3.

So, we have

$4x = 2x+3+18\iff 4x=2x+21$

Subtract 2x from both sides:

$2x=21$

Divide both sides by 2:

$x=10.5$

So, you can't have three consecutive integers such that four times the first is 18 more than the sum of the other two: the three numbers would be 10.5, 11.5, 12.5.

In fact, you have

$4\cdot 10.5 = 42$

and

$11.5+12.5+18 = 24+18=42$

8 0

3 years ago

An object of mass 2020 kg is released from rest 30003000 m above the ground and allowed to fall under the influence of gravity.

Liono4ka [1.6K]

Answer:

Equation of motion

x(t) = -9.81*t + 3000

The object will strike the ground in 305.81 sec

Step-by-step explanation:

a) Determine the equation of motion of the object

If x(t) repsent the distance the object has fallen in t seconds, then we have x'(t) and x''(t) represent the speed and acceleration respectively.

Since the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, we have

F(t) = 50x'(t) (1)

Due to Newton's 2nd law of motion (assuming the mass remains constant )

F(t) = mx''(t) = 50x''(t)

As the mass was released from rest, the acceleration is the gravity, and

F(t) = 50*(-9.81) = -490.5 N/m

The negative sign is due to the fact that the mass is falling downwards.

Replacing in (1) we get

-490.5 = 50x'(t) ===> x'(t) = -9.81 m/sec

and

x'(t) = -9.81 m/sec

This is a simple differential equation which can be solved directly by integration

x(t) = -9.81*t + C

where C is a constant, but we know that x(0) = 3000 m, so

C = 3000

We then have our final equation of motion which is

x(t) = -9.81*t + 3000

b) When will the object strike the ground?

The object will strike the ground for the instant t for which x(t) = 0

x(t) = 0 ===> 9.81*t = 3000 ===> t = 3000/9.81 ===> t = 305.81 sec 

3 0

3 years ago

If jermeey has 9 apples, and sabrina has 10, how many apples do they have if erica takes 19 of them?

rosijanka [135]

Answer:

0 apples

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers