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topjm [15]
3 years ago
13

You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don't

want to spend
more than $71.00. Write and solve an inequality to find the number of friends you can invite.
O a 6.5x + 6 2 71; x2 10
b 6.5x + 6 < 71, x <10
ос 6.5x + 6 > 71, x > 10
Od 6.5x + 6 S 71, XS 10
Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

y = 6.50x + 6 or 71 = 6.50x + 6

10 people are the max you can invite

Step-by-step explanation:

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PLEASE HELP
klio [65]
f<span>(x)</span>=<span>x^2</span>−<span>6

</span>Replace <span>f<span>(x)</span></span> with <span>yy</span>.

<span>y=<span>x^2</span>−<span>6

</span></span>Interchange the variables.

<span>x=<span>y2</span>−6

</span>Solve for <span>yy</span><span>.
</span>
Move <span><span>−6</span><span>-6</span></span> to the right side of the equation by subtracting <span><span>−6</span><span>-6</span></span> from both sides of the equation.<span><span><span>y2</span>=6+x</span><span><span>y2</span>=6+x</span></span>Take the <span><span>square</span><span>square</span></span> root of both sides of the <span><span>equation</span><span>equation</span></span> to eliminate the exponent on the left side.<span><span>y=±<span>√<span>6+x</span></span></span><span>y=±<span>6+x

</span></span></span>The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

<span>y=<span>√<span>6+x</span></span>,−<span>√<span>6+x</span></span></span>
Solve for y<span> and replace with </span><span><span>f^<span>−1</span></span><span>(x).
</span></span>
<span>Answer is f<span>−1</span></span><span>(x)</span>=<span>√<span>6+x</span></span>,−<span>√<span>6+<span>x</span></span></span>
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3 years ago
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(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework? WILL MARK
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Assuming that x is the amount of hours spent doing homework:

Plug in 3 for x

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That means that since a y value is the test score (because that's what the y-axis is labeled), your predicted test score is a 64.
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Nesterboy [21]

Answer:

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Step-by-step explanation:

2/3*5

2/3*1/5=2/15

*=multipliy

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