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Effectus [21]
3 years ago
9

What is the solution of the equation 5x – 1 = 45? Round your answer to the nearest ten-thousandth

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0
The correct question is
<span>What is the solution of the equation (5^x)-1=45? Round your answer to the nearest ten- thousandth

we have that
</span>(5^x)-1=45--------> (5^x)=45+1----------> (5^x)=46
<span>we apply logarithm both members
</span>ln(5^x)=ln(46)---------> x*ln(5)=ln(46)-----------> x=ln(46)/ln(5)-----------> 2.37886

the answer is x=2.3789
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Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form
liberstina [14]

The standard form of a line:

Ax+By=C

We have the equation of a line in the slope-point form:

y-3=\dfrac{1}{2}(x+6)      use distributive property

y-3=\dfrac{1}{2}x+3       add 3 to both sides

y=\dfrac{1}{2}x+6        multiply both sides by 2

2y=x+12       subtract x from both sides

-x+2y=12      change the signs

x-2y=-12

4 0
3 years ago
B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

7 0
3 years ago
Help answer this if ya know!
blagie [28]
C) The +10 is because you already have 10 coins, that will not change. The 6x is because with each passing day, the number of coins increase by 6 (x represents days). The equation then turns into y=6x+10

Hope this helps comment for more questions :)
4 0
3 years ago
Jason is training to run a marathon. His goal for this week is to run a minimum of 42 miles. So far this week, he has already ru
ivanzaharov [21]

Answer:

6m + 18 ≥ 42

Step-by-step explanation:

6m + 18 ≥ 42

------

3 0
2 years ago
Is the ordered pair (-2,-2) a solution to th fiction y= 3x-8
Tema [17]

Answer:-24

Step-by-step explanation:

You multiply your numbers without the - or the +

You check ehich number is bigger and you use it symbol for the answer

Example: 3x8= 24

-8 is bigger than 3 so you use it symbol

= -24

7 0
3 years ago
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