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posledela
3 years ago
11

1. Show your work to simplify the expression 0.5(8a +6b) a + 4b​

Mathematics
2 answers:
Anna11 [10]3 years ago
6 0

Answer:

Using distribute property

0.5(8a)(a) + 0.5(6b)(a) + 4b

4a^2 + 3ab + 4b

Step-by-step explanation:

ankoles [38]3 years ago
5 0

Answer:

4a+3ab +4b

Step-by-step explanation:

0.5(8a+6b) a +4b

4a +3b*a +4b

4a+3ab +4b

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A student must have at least 10 hours of instructor-assisted driving time to pass
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Answer:

t ≥ 10

Step-by-step explanation:

Since the student needs at least 10 hours of driving time, they need greater than or equal to 10 hours to pass.

4 0
3 years ago
The mean of three numbers is 4. Two of the numbers are shown below. What is the missing number? 1, 9, ?
ludmilkaskok [199]

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4 0
3 years ago
Read 2 more answers
Tom makes $216.80 in 4 days. how much does he make in 2 days
V125BC [204]

Answer:

$108.4

Step-by-step explanation:

Divide $216.8 by 4 to find the amount of money Tom makes in 1 day:

== $54.2 per day

We are looking for money Tom makes in TWO days, so multiply the value we just found by 2:

$54.2*2

==$108.4

5 0
3 years ago
Read 2 more answers
A. What are the coordinates of R’ if R (-2, 7) is dilated around the origin with k=3?
Sergio [31]

A: The coordinates of the point R' are (- 6, 21).

B: The coordinates of the point T' are (1, 3).

<h3>How to generate new points by definition of dilation</h3>

In this question we must make use of <em>rigid</em> transformations to find the location of new points, <em>rigid</em> transformations are transformations used in <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved. In this case, we need to use a kind of <em>rigid</em> transformation known as dilation, which is defined below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]      (1)

Where:

  • O(x, y) - Center of dilation
  • k - Dilation factor
  • P(x, y) - Original point
  • P'(x, y) - Resulting point

Part A - If we know that O(x, y) = (0, 0), R(x, y) = (- 2, 7) and k = 3, then the coordinates of point R' are:

R'(x, y) = (0, 0) + 3 · [(- 2, 7) - (0, 0)]

R'(x, y) = (- 6, 21)

Part B - If we know that O(x, y) = (- 2, 7), T(x, y) = (4, - 1) and k = 1/2, then the coordinates of point T' are:

T'(x, y) = (- 2, 7) + (1 / 2) · [(4, - 1) - (- 2, 7)]

T'(x, y) = (- 2, 7) + (1 / 2) · (6, - 8)

T'(x, y) = (- 2, 7) + (3, - 4)

T'(x, y) = (1, 3)

To learn more on dilations: brainly.com/question/13176891

#SPJ1

6 0
2 years ago
In the following estimated regression equation Ŷ = b0 + b1x, a. b1 is the intercept. b. b1x is the slope. c. b1 is the slope. d.
Ahat [919]

Answer:

Option C) b_1 is the slope

Step-by-step explanation:

We are given the following in the question:

The estimated regression equation is:

\hat{Y} = b_0 + b_1x

where \hat{Y} is the dependent variable and need to be predicted and x is the independent variable and is the predictor.

If we compare this regression equation to slope intercept form of straight line,

y = mx + c

Here, m is the slope if the line and c is the y-intercept hat is the value of y when x is zero.

Comparing the regression equation to the slope intercept form, we get,

Slope, m =

b_1

Intercept, c =

b_0

Thus, the correct answer is:

Option C) b_1 is the slope

5 0
3 years ago
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