To find the value of the exponent, we can equate the two expressions:
6^-7 = 1/6^?
We know that any number raised to the power of 0 is equal to 1. Therefore, we can rewrite the equation as:
6^-7 = 1/6^0
Since any number (except 0) raised to the power of 0 is 1, we have:
6^-7 = 1/1
This simplifies to:
6^-7 = 1
So, the missing exponent is 0.
6^-7=1/6^?
11 answers
3x=45
To find the value of x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 3:
3x = 45
Divide both sides by 3:
(3x)/3 = 45/3
Simplifying:
x = 15
So, the value of x is 15.
3x = 45
Divide both sides by 3:
(3x)/3 = 45/3
Simplifying:
x = 15
So, the value of x is 15.
Solve the following linear equation. Click Here for Help Video
6/5x+6=−4
6/5x+6=−4
To solve the equation 6/5x + 6 = -4, we'll need to isolate the variable x.
Step 1: Subtract 6 from both sides of the equation to move the constant term to the right side:
6/5x = -4 - 6
6/5x = -10
Step 2: Multiply both sides of the equation by the reciprocal of 6/5 (which is 5/6) to cancel out the fraction:
(5/6)*(6/5)x = (-10)*(5/6)
(1)x = (-50/6)
Step 3: Simplify the expression on the right side:
x = -50/6
Step 4: If possible, reduce the fraction to lowest terms. In this case, -50/6 cannot be simplified further.
So, the solution to the equation is x = -50/6.
Step 1: Subtract 6 from both sides of the equation to move the constant term to the right side:
6/5x = -4 - 6
6/5x = -10
Step 2: Multiply both sides of the equation by the reciprocal of 6/5 (which is 5/6) to cancel out the fraction:
(5/6)*(6/5)x = (-10)*(5/6)
(1)x = (-50/6)
Step 3: Simplify the expression on the right side:
x = -50/6
Step 4: If possible, reduce the fraction to lowest terms. In this case, -50/6 cannot be simplified further.
So, the solution to the equation is x = -50/6.
Its not the correct answer
Apologies for the incorrect response. Let's solve the equation correctly.
To solve for x in the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: In order to isolate x, we need to get rid of the fraction. To do this, we'll multiply both sides of the equation by the reciprocal of 6/5 which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
x = -50/6
Step 3: Simplify the fraction -50/6:
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
To solve for x in the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: In order to isolate x, we need to get rid of the fraction. To do this, we'll multiply both sides of the equation by the reciprocal of 6/5 which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
x = -50/6
Step 3: Simplify the fraction -50/6:
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
its not
Apologies for the confusion. Let's solve the equation correctly.
To solve the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: Now, let's isolate x by multiplying both sides of the equation by the reciprocal of 6/5, which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
1x = -50/6
Step 3: Simplify the right side of the equation:
x = -50/6
Step 4: To simplify the fraction -50/6, we can divide the numerator and denominator by their greatest common divisor, which is 2:
x = (-50/2) / (6/2)
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
To solve the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: Now, let's isolate x by multiplying both sides of the equation by the reciprocal of 6/5, which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
1x = -50/6
Step 3: Simplify the right side of the equation:
x = -50/6
Step 4: To simplify the fraction -50/6, we can divide the numerator and denominator by their greatest common divisor, which is 2:
x = (-50/2) / (6/2)
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
Graph the equation y=-2/5x-3
To graph the equation y = -2/5x - 3, we will use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope (m) is -2/5 and the y-intercept (b) is -3.
To plot the graph, follow these steps:
1. Plot the y-intercept: Start by plotting a point on the y-axis at -3.
2. Use the slope to find another point: From the y-intercept (-3), use the slope of -2/5 to find another point. To do this, move 2 units down and 5 units to the right (or up and to the left) from the y-intercept. Plot this point as well.
3. Draw a straight line through the two points: Once the two points are plotted, draw a straight line through them. This line represents all the solutions of the equation.
Your graph should show a downward-sloping line passing through the two plotted points.
In this case, the slope (m) is -2/5 and the y-intercept (b) is -3.
To plot the graph, follow these steps:
1. Plot the y-intercept: Start by plotting a point on the y-axis at -3.
2. Use the slope to find another point: From the y-intercept (-3), use the slope of -2/5 to find another point. To do this, move 2 units down and 5 units to the right (or up and to the left) from the y-intercept. Plot this point as well.
3. Draw a straight line through the two points: Once the two points are plotted, draw a straight line through them. This line represents all the solutions of the equation.
Your graph should show a downward-sloping line passing through the two plotted points.