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4 years ago

2. Determine if the following two functions intersectIf so, state where they intersect f(x) = x ^ 2 + 11x + 26 g(x) = x + 5

Mathematics

1 answer:

agasfer [191]4 years ago

5 0

Answer:

Yes these lines intersect.

Step-by-step explanation:

These equations intersect at points (-7, -2) and (-3, 2)

If this answer is correct, please make me Brainliest!

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2 years ago

An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds,

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Answer:

A. 0.15

B. 0.45

C. 85

Step-by-step explanation:

Given that:

Equation to represent the relation between distance, $d$ in miles and time $t$ in seconds:

$d=0.15t$

A.

To find: The speed of airplane in miles per second.

Formula for speed is given as:

$Speed = \dfrac{Distance}{Time}$

Here, we will have to find the value of $\frac{d}{t}$ .

Dividing the given equation by $t$ , we get:

$\dfrac{d}{t}=0.15$

$d$ is in miles and $t$ is in seconds.

Therefore, the answer is 0.15.

B.

Distance traveled in 30 seconds.

Given that: $t$ = 30 seconds

To find: $d = ?$ in miles

$d = 0.15\times 3 = 0.45$

C.

The time taken to travel a distance of 12.75 miles.

Given that : $d =12.75\ miles$

To find: $t = ?$ seconds

$12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}$

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3 years ago