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Helga [31]
3 years ago
13

A compact car will drive three miles east, five miles west, and then 13 miles east again. The car 1 gets 40 miles per gallon, an

d there is 4 of a gallon of gas left in the tank. Compute the relative distance and the total distance. Then decide if there is enough fuel for the trip.
Show all the work please
Mathematics
2 answers:
Molodets [167]3 years ago
7 0

Answer:

Was he correct?

Step-by-step explanation:

max2010maxim [7]3 years ago
4 0
<span> 3+5+13= 21 miles total
-----------------------------
( 40 mi/gal ) x ( 1/4 gal ) = 10 mi
There is enough gas to go 10 miles
so, there is not enough gas for the trip</span>
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Which of the following is the domainof the given relation?{(-6, 3), (-4 ,5), (0, 0)}A {0, 4, -6}B {0, 3, 5)C {3, 4, 0}D {-6, -4,
Bas_tet [7]

The domain is the input, which is the x value in the relation (x, y)

Hence the domain in the given relation {(-6, 3), (-4 ,5), (0, 0) is :

{-6, -4, 0}

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The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral
Vikki [24]

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.

<h3>What are vertical angles?</h3>

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.

Hence, the correct option is A.

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Answer

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Step-by-step explanation:

7 0
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Read 2 more answers
As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x −
drek231 [11]

Answer:

The company will break even at x=1 and x=4.

Step-by-step explanation:

The given profit function is

P(x)=-x^4-2x^3+21x^2+22x-40

Where, x is number of commercials.

Use synthetic division or long division to find the factors of the function.

P(x)=(x-1)(x^3+3x^2-18x-40)

P(x)=(x-1)(x+2)(x^2+x-20)

P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)

Equate P(x)=0, to find the break even points.

-(x - 4) (x - 1) (x + 2) (x + 5)=0

Use zero product property and equate each factor equal to zero.

x=4,1,-2,-5

Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.

The higher degree of the function is even and the leading coefficient is negative. So,

P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty

P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty

Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).

Therefore the company faces huge loss when the number of commercials increases unboundly.

The graph of the function is given below.

7 0
3 years ago
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