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charle [14.2K]
3 years ago
14

The scatterplot below shows the relationship between the height, in inches, and the shoe size of each of 10 students in a class.

Students' Heights and Shoe Sizes 69 Height Based on the scatterplot, what ordered pair represents the outlier in the data? O (67, 7) O (8.5, 65) O (7.67) O (65,8.5)​

Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0
(67,7) is the answer
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Brice wants to build a table and put a border around it. The table and border must have an area of 3,006 square inches. The tabl
SVEN [57.7K]
B is the correct answer.

We are adding the border of x thickness to all 4 sides of the table.  This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x.  To find the area, we multiply the length and width:

(36+2x)(72+2x) = 3006

Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006

Combining like terms gets us
2592 + 216x + 4x² = 3006

Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0

Writing in standard form we have
4x²+216x-414=0
8 0
3 years ago
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
torisob [31]

The point slope form of the line which passes through the points (-5,-1) and (10,-7) is \fbox{\begin\\\ \math 2x+5y=-15\\\end{minispace}} i.e., \fbox{\begin\\\ \bf option C\\\end{minispace}}.

Further explanation:

It is given that line passes through the points (-5,-1) and (10,-7).

The objective is to determine the point slope form of the line which passes through the points (-5,-1) and (10,-7).

The options given are as follows:

Option A: 2x-5y=-15

Option B: 2x-5y=-17

Option C: 2x+5y=-15

Option D: 2x+5y=-17

Consider the point (-5,-1) as (x_{1},y_{1}) and (10,-7) as (x_{2},y_{2}).

Slope of a curve is defined as the change in the value of y with respect to change in value of x.

The slope of the line is calculated as follows:

\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}

To obtain the value of slope substitute the value of x_{1},y_{1},x_{2},y_{2} in the above equation.

\begin{aligned}m&=\dfrac{-7-(-1)}{10-(-5)}\\&=\dfrac{-6}{15}\\&=\dfrac{-2}{5}\end{aligned}

Therefore, the slope of the line is \fbox{\begin\\\ \math m=\dfrac{-2}{5}\\\end{minispace}}

The general way to express the equation of a line in its point slope form is as follows:

\fbox{\begin\\\ \math (y-y_{1})=m(x-x_{1})\\\end{minispace}}

To obtain the point slope form of the equation of the line substitute the value of m, x_{1} and y_{1} in the above equation.

\begin{aligned}(y-(-1))&=\dfrac{-2}{5}(x-(-5))\\(y+1)&=\dfrac{-2}{5}(x+5)\\5y+5&=-2x-10\\5y+2x&=-15\end{aligned}

From the above calculation it is concluded that the point slope form the equation of a line is \fbox{\begin\\\ \math 5y+2x=-15\\\end{minispace}}

Figure 1 (attached in the end) represents the graph of the function 5y+2x=-15.

This implies that the correct option for the point slope form of the line is option C.

Therefore, the point slope form of the line which passes through the points (-5,-1) and (10,-7) is 2x+5y=-15 i.e., option C.

Learn more:

1. A problem to complete the square of quadratic function brainly.com/question/12992613  

2. A problem to determine the slope intercept form of a line brainly.com/question/1473992

3. Inverse function brainly.com/question/1632445.

Answer details

Grade: High school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, standard form, point slope form.  

6 0
3 years ago
Read 2 more answers
What is 0.04 converted to a fraction in simplest form?
Pavel [41]
1/25
think of it as 4/100
4 goes into 100 4 times
1/25+1/25+1/25+1/25=4/100
7 0
3 years ago
The area of an 15cm wide rectangle is 360 cm^2 what is the length
il63 [147K]
W=15cm
A=360 cm^2
l=?
A=w•l
360=15•l
l=360/15
l=24 cm
Good luck.
7 0
2 years ago
How do you determine the last digit in any measured number? Select one: Round up to one digit larger than the smallest precisely
murzikaleks [220]

Answer:

Estimate one digit past the smallest precisely known digit or marking

Step-by-step explanation:

To determine the last digit in any measured number : Estimate one digit past the smallest precisely known digit or marking

This is employed mostly when trying to round off a measured or calculated number to a precise number of digits and in other to determine the last digit in the given number we will have to estimate one digit past the smallest precisely known digit

7 0
3 years ago
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