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2 years ago

Type the expression that results from the following series of steps:

Mathematics

1 answer:

Masja [62]2 years ago

5 0

Answer: 6x+y

Step-by-step explanation:

Just convert the words into operations.

Have a nice day! :D

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Half the sum of 4 consecutive integers is 53 what are the integers?

Sphinxa [80]

Answer:

25,26,27, and 28

Step-by-step explanation:

Write consecutive integers as x,x+1,x+2,x+3,x+4, and so forth.

x+x+1+x+2+x+3

---------------------- = 53

1) Combine alike terms:

4x+6

------- = 53

2) Multiply both sides by 2:

4x+6=106

3) Subtract 6 from both sides:

4x=100

4) Divide both sides by 4:

x=25

5) Plug in 25 for x for all 4 integers:

6 0

2 years ago

What are the zeros of the parabola whose equation is y = x2 + 8x + 15

Sedbober [7]

9514 1404 393

Answer:

(1) -5 and -3

Step-by-step explanation:

Descarte's rule of signs tells you the lack of sign changes among the coefficients means there are no positive real roots. That eliminates all answer choices except the first one.

If you want to go to the trouble, you can factor the equation:

y = (x +3)(x +5)

These factors are zero when x = -5 and x = -3.

6 0

2 years ago

True or false: ) is a function. f(x) OA. True OB. False

Dmitry [639]

Answer:

true that is the formula for a function

Step-by-step explanation:

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2 years ago

A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was t

xenn [34]

By by by the answer is 560

3 0

2 years ago

Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

2 years ago