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KATRIN_1 [288]
3 years ago
11

Which of the following best describes the equation below?

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:

B.

no real solutions

Step-by-step explanation:

2(x + 11) + 5x = 7x - 22

Distribute

2x+22 +5x = 7x -22

Combine like terms

7x +22 = 7x-22

Subtract 7x from each side

7x-7x+22 = 7x-7x-22

22 = -22

This is never true so there are no solutions

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Write the differential equation model that fits the given description. (a) The rate of change of the volume of a snowball (due t
miskamm [114]

Answer:

a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3

\frac{dV(t)}{dT} = A*V(t)^{2} \\ and V(0) = 900cm^{3}

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to V(t)^{2}. Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.

(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.

\frac{dr(t)}{dt}  = B*\sqrt{r(t)}

Here again appears a constant B for the "proportional" part. And i wrote the velocity as \frac{dr(t)}{dt} "the rate of change of the position with respect to te time".

7 0
3 years ago
How to solve using substitution<br> y=3/4X+5<br> 4x-3y=-1
Pachacha [2.7K]
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5

Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:

4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)

Let 's now solve the system   

4y=3x + 20
4x-3y=-1

We are to solve this system using subtraction.  To accomplish this, multiply the first equation by 3 and the second equation by 4.  Here's what happens:

12y = 9x + 60  (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)

Then we have 

 12y = 9x + 60
-12y =-16x - 4

If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x:  7x = 56; x=8

We were given equations   
</span><span>y=3/4X+5
4x-3y=-1

We can subst. x=8 into either of these eqn's to find y.  Let's try the first one:

y = (3/4)(8)+5 = 6+5=11

Then x=8 and y=11.

You should check this result.  Subst. x=8 and y=11 into the second given equation.  Is this equation now true?</span>
5 0
3 years ago
WILL GIVE BRAINLIEST!
andreev551 [17]

Answer:

1,632(

Step-by-step explanation:

I did 34,284/252 to figure out the # of groups with 252 people

I got 136.04-- rounded it to 136

I then multiplied 136*12=1,632

so 1,632 people have type A blood

3 0
3 years ago
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Find the sum of the given vectors and illustrate geometrically. [-1,4],[6,-2]
cricket20 [7]

Answer:

The sum of vectors is <5,2>.

Step-by-step explanation:

The given vectors are <-1,4> and <6,-2>.

We need to find the sum of the given vectors and illustrate geometrically.

Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).

Plot the point (6,-2) on a coordinate plane and draw a vector <b> from (0,0) to (6,-2).

Now complete the parallelogram and the diagonal represents the sum of both vectors.

The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.

Check the sum of vectors:

+==

Therefore, the sum of vectors is <5,2>.

4 0
3 years ago
Help please!10 points
laila [671]

Answer:

The equation of the line is y = 3x + 3

Step-by-step explanation:

Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.

The equation of a line is always in y = kx+b form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).

We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.

y = 3x+3

Hope this helped!

3 0
3 years ago
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