Answer:
Step-by-step explanation:
In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.
Slope intercept form is usually in the form 
, where m is the slope and b is the y-intercept.
Let's algebraically manipulate this problem so we solve for y.
<em>(Subtract 7x from both sides)</em>
<em>(Divide both sides by -2)</em> 
<em>(Rearrange the equation</em>)
From here, we can now see our equation is , in the form . Since m is the slope, and 
is m, our slope is .
Hope this helped!
He needs 26 feet of fence.
The diagonal of the rectangle forms the hypotenuse of a right triangle. The two legs would be the width of the rectangle, 10, and the length, 24:
10²+24² = c²
100+576 = c²
676 = c²
c = √676 = 26
Substitute in the values for y and x into the equation.
so..
8 - 4.7(-1) - (2) solve the equation
8 + 4.7 -2
12.7 - 2
10.7
Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer:
$223.21
Step-by-step explanation:
Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.
This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.
112% of x = 250
1.12x = 250
x = 250/1.12
x = 223.21
Answer: $223.21
