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3 years ago

40 POINTS

Mathematics

2 answers:

Dmitry [639]3 years ago

5 0

I think 7 mi is the answer

kondaur [170]3 years ago

5 0

It would be 7mi from her house to the playground

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F(t)=t^2+19t+60 What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

4 0

3 years ago

Help plsplspls asap !! :)

nlexa [21]

Answer:

lets just say the f stands for 1 and 1 times negative 4 is negative 4

and 5 will stay 5 the equation would be -4/5 so after u divide the 4 and the five you get negative 1

8 0

3 years ago

Read 2 more answers

Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro

uysha [10]

Answer:

1. As a fraction: 9/50

2. As a proportion: x/1 = 9/50

3. As a percentage: 18%

Explanation:

1. As a fraction:

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

Probability = 9 / 50

2. As a proportion:

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

x / 1 = 9 / 50

Where x is the probability.

3. As a percentage

You just have to multiply the probability by 100:

(9/50) × 100 = 18%

6 0

3 years ago

The volume of a pyramid is 47 3. The height of the pyramid is 6 meters. What is the area of

AlladinOne [14]

473x6= 2,838

the answer should be 2,838?

8 0

3 years ago

Read 2 more answers

Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la

iren [92.7K]

Answer:

The larger angle is 143

Step-by-step explanation:

x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)

4x - 5 = y

x + (4x - 5) = 180 Remove the brackets.

x + 4x - 5 = 180

5x - 5 = 180 Add 5 to both sides

5x - 5 +5 = 180 + 5 Combine

5x = 185 Divide by 5

5x/5=185/5

x = 37

y = 4*37 - 5

y = 148 - 5

y = 143

4 0

3 years ago