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3 years ago

The vertex of the graph of y = (x - 1)2 - 5 is

Mathematics

2 answers:

Darina [25.2K]3 years ago

7 0

Answer:

(1, -5)

Step-by-step explanation:

Keith_Richards [23]3 years ago

5 0

Answer:

1,-5

Step-by-step explanation:

for y = (x-h)^2 + k

the vertex is h,k

comparing

y=(x-1)^2-5 with y = (x-h)^2 + k

we have h = 1, k = -5

so the vertex of y=(x-1)^2-5 is (1,-5)

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In high school, some students have been confused to believe that 22/7 is already the actual value of π or an acceptable approxim

jarptica [38.1K]

Answer:

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

Step-by-step explanation:

The formula for the absolute error is:

Absolute error = |Actual Value - Measured Value|

The formula for the relative error is:

Relative error = |Absolute error/Actual value|

I am going to consider the actual value of $\pi$ as 3.14159265359.

In the case of 22/7:

22/7 = 3.14285714286.

Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927

Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%

In the case of 355/113

355/113 = 3.14159292035

Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676

Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

5 0

3 years ago

Paul’s Paints sells a 24-gallon case of paint for a total of $576, including tax. Stella’s Paints sells a 64-gallon case of pain

wlad13 [49]

Paul's paint : 576 / 24 = $ 24 per gallon
Stella's paint : 1664 / 64 = $ 26 per gallon

store that sells for the least amount is : Paul
with the difference in price being : $ 2

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3 years ago

Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his in

pochemuha

Answer:

<em>The average rate of change of Jack's investment from the third year to the fifth year is </em><em>$6.43</em>

Step-by-step explanation:

The function that defines the value of his investment after x years,

$f(x)=300(1.02)^x$

Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.

So,

$f(3)=300(1.02)^3=318.36$

$f(5)=300(1.02)^5=331.22$

Then,

$\text{Average rate of change}=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

$=\dfrac{331.22-318.36}{5-3}$

$=\dfrac{12.86}{2}$

$=\$6.43$

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3 years ago

Read 2 more answers

Which formula should be used?

klio [65]

V=(pi)(r^2)h-(2/3)(pi)(r^3)

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3 years ago

Below are five number sequences.

oksian1 [2.3K]

Answer:

Step-by-step explanation:

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3 years ago