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Mkey [24]
3 years ago
5

There are five cars in line at a stoplight. Each of these cars is a different color and different type of car. Diego is driving

the red car. Ingrid is driving the sedan. The green car is immediately behind the white car. The minivan is third in line. Rachel is driving the first car in line. Anton is just behind the driver in the SUV. Yuna is driving the green car. The driver in the yellow car is just in front of the convertible. Rachel is just in front of the blue car. The sedan is white. One of the cars is a pickup truck. Who is driving the pickup truck?
Q471
Mathematics
1 answer:
adell [148]3 years ago
8 0
Ok, here we go:
5 cars total.
1. Rachel - first car in line, yellow, SUV
2. blue car (Rachel is in front of the blue car), convertible, Anton
3. minivan - third car in line, Diego
4.  white car, sedan, Ingrid
5. green car, immediately behind white car, Yuna, pickup


We know that Rachel is first, a blue car is second and the minivan is third.  We know that 3, 4 cannot be a convertible since one is a minivan and the other is a sedan.  We also know that a yellow car is in front of the convertible. 

Based off of that we know that car 5 cannot be a convertible since 4 is white and not yellow. So 1 or 2 is the convertible and SUV.  But we know that Rachel is in front of a blue car and the yellow car is in front of a convertible so that makes car #2 the blue convertible and car #1 the yellow SUV. 

Fill in what you do know and start to eliminate the outliers.  Hope that helps.

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Answer:

2.17 \times 10^{-1}

Step-by-step explanation:

(7 \times 10 ^{-6}) + 0.26 - (5 \times 10^{-2}) = \frac{7}{10^3} + \frac{26}{10^2}-\frac{5}{10^2}

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3 years ago
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9.081

Step-by-step explanation:

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2 years ago
Write a quadratic function in vertex form whose graph has the vertex (-3,5) and passes through the point (0,-14)
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Answer:

f(x) = -19/9(x + 3)² + 5

Step-by-step explanation:

Given the vertex, (-3, 5) and the point, (0, 14):

Use the following quadratic equation formula in vertex form:

f(x) = a(x - h)² + k

where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the graph wide or narrow.

<em>h</em><em> </em>= determines how far left or right the parent function is translated.

<em>k</em> =  determines how far up or down the parent function is translated.

Plug in the values of the vertex, (-3, 5) and the given point, (0, 14) to solve for <em>a</em>:

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Subtract 5 from both sides:

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Divide both sides by 9 to solve for a:

-19/9 = 9a/9

-19/9 = a

Therefore, the quadratic function in vertex form is:

f(x) = -19/9(x + 3)² + 5

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