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Eddi Din [679]
3 years ago
14

Please Answer its timed The dimensions of a rectangle are represented by the functions shown. g(x)+3x-4 f(x)=2x-9 Which function

represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Mathematics
2 answers:
astra-53 [7]3 years ago
7 0

Answer:

6x squared - 35x + 36

Step-by-step explanation:

When you multiply the two functions together, this is what you get.

Alenkasestr [34]3 years ago
5 0

Answer:

\boxed{6x^2-35x+36}

Step-by-step explanation:

The dimensions of the rectangle are represented by functions:

g(x)=3x-4 \\f(x)=2x-9

The area is length × width of a rectangle.

length \times width

(3x-4)(2x-9)

Expand brackets and solve.

6x^2-27x-8x+36

6x^2-35x+36

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What is the equation for​
WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line(m_1) = 0.25

Let m_2 be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

\Rightarrow m_1 \cdot m_2=-1

\Rightarrow 0.25\cdot m_2=-1

\Rightarrow m_2=\frac{-1}{0.25}

\Rightarrow m_2=-4

Point-slope intercept formula:

y-y_1=m(x-x_1)

x_1=-6, y_1=8 and m=-4

Substitute these in the formula, we get

y-8=-4(x-(-6))

y-8=-4(x+6)

y-8=-4x-24

Add 8 on both sides of the equation.

y-8+8=-4x-24+8

y=-4x-16

Hence the equation of a line that is perpendicular to the given line is

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5 0
3 years ago
The data show systolic and diastolic blood pressure of certain people. Find the regression​ equation, letting the first variable
MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0
3 years ago
Which linear function shows a direct variation?
alexandr402 [8]

Answer:

I think it is C

Step-by-step explanation:

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