Answer:
Step-by-step explanation:
Givens
d = 2365 miles
r = 55 miles / hour
t = ?
Formula
d = r * t
Solution
d = r * t
2365 = 55 * t Divide by 55
2365/55 = t
t = 43 hours.
Answer:
2x - 3
Step-by-step explanation:
3x-1 - (x+2)
3x-1 -x -2
2x - 3
Since <span><span>5x</span><span>5x</span></span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span><span>5x</span><span>5x</span></span> from both sides.
<span><span><span><span>−2</span>y</span>=<span><span><span>−5</span>x</span>+6</span></span><span><span><span>-2</span>y</span>=<span><span><span>-5</span>x</span>+6</span></span></span>Divide each term by <span><span>−2</span><span>-2</span></span> and simplify.
Divide each term in <span><span><span><span>−2</span>y</span>=<span><span><span>−5</span>x</span>+6</span></span><span><span><span>-2</span>y</span>=<span><span><span>-5</span>x</span>+6</span></span></span> by <span><span>−2</span><span>-2</span></span>.<span><span><span>−<span><span>2y</span><span>−2</span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>2y</span><span>-2</span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2
</span></span></span></span></span>Simplify the left side of the equation by cancelling the common factors.
Reduce the expression by cancelling the common factors.
Factor <span>22</span> out of <span><span>−2</span><span>-2</span></span>.<span><span><span>−<span><span>2<span>(y)</span></span><span>2<span>(<span>−1</span>)</span></span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>2y</span><span>2<span>-1</span></span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Cancel the common factor.<span><span><span>−<span><span>2y</span><span>2⋅<span>−1</span></span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>2y</span><span>2⋅<span>-1</span></span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Rewrite the expression.<span><span><span>−<span>y<span>−1</span></span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span>y<span>-1</span></span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Move the negative one from the denominator of <span><span>y<span>−1</span></span><span>y<span>-1</span></span></span>.<span><span><span>−<span>(<span><span>−1</span>⋅y</span>)</span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>-1</span>⋅y</span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Simplify the expression.
Multiply <span><span>−1</span><span>-1</span></span> by <span>yy</span> to get <span><span><span>−1</span>y</span><span><span>-1</span>y</span></span>.<span><span><span>−<span>(<span><span>−1</span>y</span>)</span></span>=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span><span>-<span><span>-1</span>y</span></span>=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Rewrite <span><span><span>−1</span>y</span><span><span>-1</span>y</span></span> as <span><span>−y</span><span>-y</span></span>.<span><span>y=<span><span>−<span><span>5x</span><span>−2</span></span></span>+<span>6<span>−2</span></span></span></span><span>y=<span><span>-<span><span>5x</span><span>-2</span></span></span>+<span>6<span>-2</span></span></span></span></span>Simplify each term.
Move the negative in front of the fraction.<span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>−2</span></span></span></span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>-2</span></span></span></span></span>Simplify <span><span>−<span>−<span><span>5x</span>2</span></span></span><span>-<span>-<span><span>5x</span>2</span></span></span></span>.
Multiply <span><span>−1</span><span>-1</span></span> by <span><span>−1</span><span>-1</span></span> to get <span>11</span>.<span><span>y=<span><span>1<span>(<span><span>5x</span>2</span>)</span></span>+<span>6<span>−2</span></span></span></span><span>y=<span><span>1<span><span>5x</span>2</span></span>+<span>6<span>-2</span></span></span></span></span>Multiply <span><span><span>5x</span>2</span><span><span>5x</span>2</span></span> by <span>11</span> to get <span><span><span>5x</span>2</span><span><span>5x</span>2</span></span>.<span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>−2</span></span></span></span><span>y=<span><span><span>5x</span>2</span>+<span>6<span>-2</span></span></span></span></span>Divide <span>66</span> by <span><span>−2</span><span>-2</span></span> to get <span><span>−3</span><span>-3</span></span>.<span><span>y=<span><span><span>5x</span>2</span><span>−3</span></span></span><span>y=<span><span><span>5x</span>2</span><span>-3</span></span></span></span>Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is <span><span>y=<span><span>mx</span>+b</span></span><span>y=<span><span>mx</span>+b</span></span></span>, where <span>mm</span> is the slope and <span>bb</span> is the y-intercept.<span><span>y=<span><span>mx</span>+b</span></span><span>y=<span><span>mx</span>+b</span></span></span>Find the values of <span>mm</span> and <span>bb</span> using the form <span><span>y=<span><span>mx</span>+b</span></span><span>y=<span><span>mx</span>+b</span></span></span>.<span><span>m=<span>52</span></span><span>m=<span>52</span></span></span><span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>The slope of the line is the value of <span>mm</span>, and the y-intercept is the value of <span>bb</span>.Slope: <span><span>52</span><span>52</span></span>Y-Intercept: <span>−<span>3</span></span>
