21 because im super smart
593,200 would be the answer
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
Step-by-step explanation:
x+50%x=30
150%=30
1.5x=30
x=20
B!!!
Let's solve for x.<span><span><span><span>5x</span>+y</span>−7</span>=0</span>Step 1: Add 7 to both sides.<span><span><span><span><span>5x</span>+y</span>−7</span>+7</span>=<span>0+7</span></span><span><span><span>5x</span>+y</span>=7</span>Step 2: Add -y to both sides.<span><span><span><span>5x</span>+y</span>+<span>−y</span></span>=<span>7+<span>−y</span></span></span><span><span>5x</span>=<span><span>−y</span>+7</span></span>Step 3: Divide both sides by 5.<span><span><span>5x</span>5</span>=<span><span><span>−y</span>+7</span>5</span></span><span>x=<span><span><span><span>−1</span>5</span>y</span>+<span>7<span>5</span></span></span></span>Let's solve for x.<span><span><span>6x</span>+y</span>=4</span>Step 1: Add -y to both sides.<span><span><span><span>6x</span>+y</span>+<span>−y</span></span>=<span>4+<span>−y</span></span></span><span><span>6x</span>=<span><span>−y</span>+4</span></span>Step 2: Divide both sides by 6.<span><span><span>6x</span>6</span>=<span><span><span>−y</span>+4</span>6</span></span><span>x=<span><span><span><span>−1</span>6</span>y</span>+<span>23</span></span></span>Answer:<span>x=<span><span><span><span>−1</span>6</span>y</span>+<span>2<span>3
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