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Orlov [11]
3 years ago
14

Brooklyn and Nicole are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Brook

lyn is 367 miles away from the stadium and Nicole is 347 miles away from the stadium. Brooklyn is driving along the highway at a speed of 54 miles per hour and Nicole is driving at speed of 50 miles per hour. Let B represent Brooklyn's distance, in miles, away from the stadium t hours after noon. Let N represent Nicole's distance, in miles, away from the stadium t hours after noon. Write an equation for each situation, in terms of t, and determine the number hours after noon,t, when Brooklyn and Nicole are the same distance from the stadium.
Mathematics
1 answer:
3241004551 [841]3 years ago
3 0

Answer: B= -54t +367

N=-50t + 347

so in total would be 5 HOURS

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kotykmax [81]

Answer:

I would go with c.

Step-by-step explanation:

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2 years ago
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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
2 years ago
Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
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Answer:

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Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

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Here, the number are integer starting from 1 to 7.

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(d) {0}

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Answer:

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Step-by-step explanation:

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GalinKa [24]

Answer:

The answer is the last one

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