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3 years ago

What are the intercepts of x^2+y-9=0

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

8 0

Answer:

Zeros

x = -3 point (-3 ,0)

x = 3 point (3 ,0)

Step-by-step explanation:

Using a graphing calculator, we can easily check the intercepts of the equation

y = -x^2 +9

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3 years ago

Fred walked a trail at 2 mph. Paul started 30 minutes later on the same trail and walked at a pace of 3 mph. Create a system of

spayn [35]

Answer:

$y=2x\\y=3(x-\frac{1}{2})$

Paul will catch Fred after $1\ hours$ at a distance $3\ miles$ .

Step-by-step explanation:

Distance is represented by $y$ and the time is represented by $x$ . Here after $x$ hours(when Fred started) the distance covered by Fred and Paul is same that is $y$ .

For Fred:

time= $x$

distance= $y$

Speed $=2\ mph$

$Distance=speed\times time\\y=2\times x \\y=2x$

Paul:

Since Fred started 30 minutes earlier, so Paul's travel time will be 30 minutes less than that of Fred.

Time $=x-\frac{1}{2}$

Speed $=3\ mph$

Distance $=y\\$

$y=3\times (x-\frac{1}{2})\\y=3(x-\frac{1}{2})$

Hence system of equation

$y=2x\\y=3(x-\frac{1}{2})$

Solution of this system of equations gives the time, when Paul will catch Fred and distance covered by each of them.

$y=2x\\y=3(x-\frac{1}{2})\\\\2x=3x-\frac{3}{2}\\x=\frac{3}{2}\\\\y=2x\\y=2\times \frac{3}{2}\\y=3$

Time taken by Paul $=x-\frac{1}{2}=\frac{3}{2}-\frac{1}{2}=1$

Hence Paul will catch Fred after $1\ hours$ at a distance $3\ miles$ .

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2 years ago

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Sidana [21]

Answer:

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Step-by-step explanation:

This is the expanded form

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2 years ago

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julsineya [31]

Answer:

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Step-by-step explanation:

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At last add the two values:

5,796+455=6,251

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1 year ago

Question 3

Rina8888 [55]

Answer:

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Step-by-step explanation:

Larger numbers are to the right on a number line, so the statement that 7 is larger than -2 means ...

7 is located to the right of -2

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2 years ago