Given two reference points, we want to answer some questions, the answers are:
- a) The 0 should represent the surface of the water of the pool.
- b) The slide is 12 ft above the zero (12ft above the surface of the water)
- c) She should mark the pole with a -4 on the number line.
So we start with two reference points:
- -8, which represents the depth of water in the swimming pool.
- 12, which represents the height of the slide at the pool.
So positive numbers represent height, negative ones represent depth.
A) Here the 0 should represent the surface of the water of the pool.
B) on this situation, we should see that the slide is at 12, meaning that is 12 ft above the surface of the water in the pool.
C) The pole is at a depth of 4 ft, and 0 represents the surface, then -4 will represent the depth of the pole when it is at a depth of 4 ft. She must mark the level of the pole as a -4 on the number line.
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Answer:
See Below
Step-by-step explanation:
3 out of 5 of the 60 total blocks are red, that means every 3 of 5 random we take would be RED.
That is 3/5ths of 60 are red. We multiply and figure out.
So we can say there are 36 red blocks from the total 60 Blocks.
Briana needs to make a design that uses 32 RED BLOCKS. <em>Are there enough??</em>
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<em>Yes of course, because 36 > 32</em>
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<em>So, it is reasonable for Briana to think there are enough blocks to make her design.</em>
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>
Answer:
B) would be te answer
Step-by-step explanation:
Answer:
y = 1/3x + 4
Step-by-step explanation:
The slope intercept form is y=mx+b so what we need to do is fill in the blanks. M is the slope and we know the 1/3 is the slope. (0,4) is basically meaning that the x-value is 0 and the y-value is 4, and when that's the case it means 4 is the y-intercept. Now we can put the information together y = 1/3x +4 is the equation.
Hope this helps and have a great day!
