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Radda [10]
2 years ago
9

The following system of equations is _____.

Mathematics
1 answer:
Tju [1.3M]2 years ago
7 0
First equation: y = -1/3x + 2/3
We can write it as : 1/3x + y = 2/3
Now, multiply the equation with 6, 
2x + 6y = 4 
Which is equal to 2nd equation!!

In short, The following system of equation is "Equivalent"

Hope this helps!
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A statistics teacher was interested in the relationship between the number of days students waited to start a project and the sc
Fiesta28 [93]

Answer:

<em>A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.</em>

Step-by-step explanation:

<u>The slope of a Regression Line</u>

A straight line can be represented in the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope describes how fast and in what direction the graph goes when x changes values.

If m is positive, increments in x imply increments in y.

If m is negative, increments in x imply decrements in y.

The regression line is:

ŷ = –3.64x + 96.5

Where:

x = the number of procrastination days

ŷ = the predicted grade

We can say the slope is m=-3.64. This means that:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

5 0
2 years ago
Read 2 more answers
Pentagon ABCDE was enlarged:
enot [183]

Answer/Step-by-step explanation:

The ratio of the enlargement to the original = A'E' to AE = A'E':AE = A'E'/AE

AE = 2.5

A'E' = 4

Ratio of the enlargement to the original = 4:2.5 = 1.6:1

To convert to percentage, divide 4 by 2.5 and multiply by 100.

= \frac{4}{2.5}*100

= 1.6*100

= 160 percent

7 0
2 years ago
Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
Novay_Z [31]

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = \sqrt{1+1+16} = \sqrt{18}

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=\sqrt{9+9} =\sqrt{18}

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = \sqrt{16+4+16} =\sqrt{36} =4

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



3 0
1 year ago
Mustafa, Heloise, and Gia have written more than a combined total of 2222 22 articles for the school newspaper. Heloise has writ
Papessa [141]

Answer: m>8

Mustafa could have written more than 8 articles for the newspaper.

Step-by-step explanation:

Given: Heloise has written 1/4 as many articles as Mustafa has. Gia has written 3/2 as many articles as Mustafa has.

Let m be the number of articles Mustafa writes.

Then articles written by Heloise=\frac{1}{4}m

And articles written by Gia=\frac{3}{2}m

The total number of articles =m+\frac{1}{4}m+\frac{3}{2}m=\frac{4m+m+6m}{4}=\frac{11m}{4}

Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.

\frac{11m}{4}>22\\\Rightarrow\ m>\frac{22\times4}{11}\\\Rightarrow\ m>8

Hence, Mustafa could have written more than 8 articles for the newspaper.

3 0
2 years ago
Read 2 more answers
Jeremy analyses one of his parachute jumps.
Ulleksa [173]

Answer:

21

Step-by-step explanation:

8 0
2 years ago
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