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2 years ago

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The vertex of a parabola is (-1.5, -12.5), and its y-intercept is (0, -8)

1 answer:

Olenka [21]2 years ago

4 0

Best to find the equation of the parabola first:

Its equation is y+12.5 = (x+1.5)^2, or y = -12.5 + (x+1.5)^2

Check the first possible x-intercept: let x = -2. Does y come out to 0?

y = -12.5 + (-0.5)^2 = -12.5 + 0.25. This is not equal to 0, so (-2,0) is not an x-intercept of this parabola. Continue checking each possible x-intercept until you find the right one (or ones).

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A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in

lana [24]

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

$P(Bedroom) = 0.4$

$P(Kitchen) = 0.1$

$P(Bathroom) = 0.2$

$P(Living\ room) = 0.15$

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

$Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)$

$Probability = 1 - 0.85$

$Probability = 0.15$

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

$Probability = P(Bedroom) + P(Kitchen)$

$Probability = 0.2 + 0.1$

$Probability = 0.3$

6 0

2 years ago

1. if h(x)=(fog)(x) and h(x)=3sqrt7x+1, find f(x) and g(x)

xeze [42]

1. h(x) = 3 $\sqrt{7x+1}$

Let f(x) = 3x and g(x) = $\sqrt{7x+1}$

2. N(x) = ( $\sqrt{2x}$ )⁵

Let f(x) = x⁵ and g(x) = 2x and h(x) = $\sqrt{x}$

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2 years ago

The frequency with which a cricket chirps varies directly with the temperature. If the cricket chirps 100 times per minute in 80

Karo-lina-s [1.5K]

The answer is: D) 115

The explanation is shown below:

1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:

$y=kx$

Where $y$ is the frequency with which a cricket chirps, $x$ is the temperature and $k$ is the constant of proportionality.

2. If the cricket chirps 100 times per minute in 80° weather, you can calculate $k$ as below:

$k=\frac{100}{80}=1.25$

3. Therefore, the frequency in 92° weather is:

$y=1.25x\\y=(1.25)(92)\\y=115$

3 0

2 years ago

Jess will flip a two-sided coin and roll a number cube with numbers 1, 2, 3, 4, 5, 6 one time. What is the probability that the

baherus [9]

Answer:

1/4

Step-by-step explanation:

numbers > 3 are 4,5,6

number of numbers >3=3(4,5,6)

probability=3/6=1/2

probability of drawing a head=1/2

reqd. probabilty=1/2*1/2=1/4

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3 years ago

A chicken soup recipe calls for 15cups of chicken stock how much is this in quarts

Jlenok [28]

3.75 quart. Use can easily use google

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3 years ago