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antoniya [11.8K]
3 years ago
10

Given: ABCD ~ AEFG Find x. A) 4 B) 8 C) 9 D) 10

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

B

Step-by-step explanation:

find CD which is 4

x/4=6/3

x=2×4

x=8

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3x^3-2x^2-147x+98=(ax-c)(bx+d)(bx-d) where a,b,c and d positive integers. Work out the value of a,b,c and d
Alexxx [7]

Expand the right side:

(ax-c)(bx+d)(bx-d)=(ax-c)(b^2x^2-d^2)

=ab^2x^3-b^2cx^2-ad^2x+cd^2

Notice that 98 = 2 * 7 * 7, so we have c=2 and d=7.

Then

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and

ab^2=3\implies b^2=1\implies b=1

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3 years ago
A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor
Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

\hat{y} = 50.57+0.4845x

Comparing the equation to a linear equation:

y = mx + c

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

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Step-by-step explanation:

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