Answer:
any number equal to or less than -4
Step-by-step explanation:
x - 1 < -4
< represents that -4 is a larger number than x - 1. we know that -4 is a negative number, so anything below -4 would be less. x = -4 would be a good solution, but the reality is that any number equal to or less than -4 is the correct answer. I hope this helps!
Answer:
819
Step-by-step explanation:
Givens
Formula
Sum = a(1 - r^n) / ( 1 - r)
Sum = -1(1 - (-4)^6 / (1 - -4)
Sum = -1 (1 - 4096) / 5
Sum = -1 (- 4095 ) / 5
Sum = 819
<span>y=−3x+2</span> is a linear equation in slope-intercept form with
slope <span>m=<span>(−3)</span></span>
(and y-intercept <span>=2</span>)
We want the equation of a line with slope <span>m=<span>(−3)</span></span> through the point <span>(<span>−2</span>,<span>−8</span>)</span>
Using the point-slope linear equation form:
<span><span>(y−<span>(−8)</span>)</span>=<span>(−3)</span><span>(x−<span>(−2)</span>)</span></span>
Simplifying
<span>y+8=−3x−6</span>
or, in standard form
<span>3x+y=−<span>14</span></span>
Answer:
Step-by-step explanation:
Total number of boxes of cookies that Kendal bought to bring to the party is x.
Each box contains 12 cookies. This means that total number of cookies in x boxes would be
12 × x = 12x
She decides to keep two boxes for herself. This means that the total number of cookies that she kept for herself would be
12 × 2 = 24 cookies
She brings 60 cookies to the party.
The equation that can be used to find the number of boxes, x, Kendal bought would be
12x = 24 + 60
12x = 84
x = 84/12 = 7 boxes
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
