If they charge $2.00 per quart, how much money will they make if they sell it all

The function y = 50x describes the distance Gary has traveled in miles after x hours. Use the graph to estimate how many miles G

Nana76 [90]

Substitute 8 for x in the function.
y=50(8)=400
He would travel 400 miles

7 0

2 years ago

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Which type of statement must be proven in geometry? A. axiom

Leya [2.2K]

D a theorem needs to be proven

8 0

2 years ago

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Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)= $2x^{3}-26x-24$

$2x^{3}-26x-24$ =0

$2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\$

$=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\$

$=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\$

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

7 0

2 years ago

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On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it

Elenna [48]

Answer:

$957.71$

Step-by-step explanation:

Given: On Monday, the closing value of a share of stock in Company ABC, was $74.01$ . On Tuesday, it closed at $73.67$ , and on Wednesday, it closed at $74.32$ . On Thursday, the change in stock value was $-1.48$ . And, on Friday, Company ABC's stock gained $0.89$ points.

To Find: One shareholder owns $13$ shares of Company ABC's stock. What was the total value of their stock in this company at the close of Tuesday.

Solution:

Closing value of Shares of company ABC on Monday $=74.01$

Closing value of Shares of company ABC on Tuesday $=73.67$

Closing value of Shares of company ABC on Wednesday $=74.32$

on Thursday change in stock value was $-1.48$

Closing value of Shares of company ABC on Thursday $=72.84$

on Friday comapny's stock gained $0.89$ points

Closing value of Shares of company ABC on Friday $=73.73$

As one shareholder owns $13$ shares of company

Total value of shares on Tuesday is

$=\text{number of shares}\times\text{closing stock value on tuesday}$

$=13\times73.67$

$=957.71$

Hence total value of shareholder's share on close of Tuesday is $957.71$

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2 years ago

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Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.

butalik [34]

(a) Data with the eight day's measurement.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5

(b) Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7

Answers:
1. The average is the same with or without the 8th day's data. FALSE
2. The median is the same with or without the 8th day's data. FALSE
3. The IQR decreases when the 8th day is included. FALSE
4. The IQR increases when the 8th day is included. TRUE
5. The median is higher when the 8th day is included. TRUE

8 0

2 years ago

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