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Elan Coil [88]
3 years ago
10

89 (54x − 36) + 2 = −3/4 (−40 + 16x) + 90xsolve for x

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0
Hey! Just in case you have to show your work.

89(54x-36)+2=-3/4(-40+16x)+90x

4806x-3204+2=-3/4×4(-10+4x)+90x

4806x-3202=30-12x+90x

4806x-78x=30+3202

4728x=3232

3232÷4728=

X=404/591

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What is the quadratic in vertex form that has an a value of 8 and a vertex of (5, 6)?
faltersainse [42]

Answer:

y= 8(x-5)² + 6

Step-by-step explanation:

Parabolas have two equation forms, namely; the standard and vertex form.

In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.

In this case; a=8, h =5, and k=6

Therefore;

The vertex equation will be

y= 8(x-5)² + 6

8 0
3 years ago
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How should the decimal point in 8.403 be moved to determine the product of 10,000 × 8.403?
Troyanec [42]

Answer:

84,030.00 (Move the decimal point 4 to the right)

Step-by-step explanation:

When multiplying, move the decimal to the right! When dividing, move the decimal to the right!

Since, 10,000 has 4 zeros, we will want to move the decimal point four places to the right!

Hope this helps! :)

3 0
3 years ago
Help me please :) .....
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Answer:

at + vi = vf

Step-by-step explanation:

In order to solve for vf, we need to isolate said variable.

a = vf - vi/t (Given)

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5 0
3 years ago
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Yuliya22 [10]
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The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
vlada-n [284]

Option B: 256 is the diameter of the bacteria after 8 hours.

Explanation:

From the given, it is obvious that the graph is an exponential function.

The general formula is given by,

y=a(b)^x

Where a is the initial population,

b is the growth rate and

x is the number of hours.

It is given that the diameter of the bacteria doubles every hour.

Then, we have,

b=2

Let us substitute the coordinate (0,1) and b=2, we get,

1=a(2)^0

1=a

Thus, substituting a=1 and b=2 in the general formula y=a(b)^x, we have,

y=1(2)^x

We need to determine the diameter of the bacteria after 8 hours.

Let us substitute x = 8 in the equation y=1(2)^x, we get,

y=1(2)^8

y=1(256)

y=256

Thus, the diameter of the bacteria after 8 hours is 256

Hence, Option B is the correct answer.

7 0
3 years ago
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