Sean said that the slope of the line is 3. is he correct?

Mathematics

2 answers:

xeze [42]2 years ago

8 0

What does the line look like?

krok68 [10]2 years ago

5 0

Answer:

yes

Step-by-step explanation:

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On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrec

Sidana [21]

X - the number of questions he answered correctly
y - the number of questions he answered incorrectly

There were 40 questions on the test.
$x+y=40 \\ y=40-x$

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
$5x-2y=95 \\
-2y=95-5x \\
y=-\frac{95}{2}+\frac{5}{2}x
$

Set 40-x and (-95/2)+(5/2)x equal to each other:
$40-x=-\frac{95}{2}+\frac{5}{2}x \\
-x-\frac{5}{2}x=-\frac{95}{2}-40 \\
-\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\
-\frac{7}{2}x=-\frac{175}{2} \\
x=-\frac{175}{2} \times (-\frac{2}{7}) \\
x=\frac{175}{7} \\
x=25$

Johnny answered correctly 25 questions.

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3 years ago

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lisabon 2012 [21]

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2 years ago

Verify that this trigonometric equation is an identity?

Vlada [557]

$\cot x\sec^4 x=\cot x+2\tan x+\tan^3x\\\\L=\dfrac{\cos x}{\sin x}\cdot\dfrac{1}{\cos^4x}=\dfrac{1}{\sin x}\cdot\dfrac{1}{\cos^3x}=\dfrac{1}{\sin x\cos^3x}\\\\R=\dfrac{\cos x}{\sin x}+2\cdot\dfrac{\sin x}{\cos x}+\dfrac{\sin^3x}{\cos^3x}\\\\=\dfrac{\cos x\cos^3x}{\sin x\cos^3x}+\dfrac{2\sin x\cos^2x}{\cos x\sin x\cos^2x}+\dfrac{\sin^3x\sin x}{\cos^3x\sin x}\\\\=\dfrac{\cos^4x+2\sin^2x\cos^2x+\sin^4x}{\sin x\cos^3x}\\\\=\dfrac{(\cos^2x)^2+2\sin^2x\cos^2x+(\sin^2x)^2}{\sin x\cos^3x}$

$=\dfrac{(\cos^2x+\sin^2x)^2}{\sin x\cos^3x}=\dfrac{1}{\sin x\cos^3x}=L\\\\Used:\\\tan(a)=\dfrac{\sin(a)}{\cos(a)}\\\cot(a)=\dfrac{\cos(a)}{\sin(a)}\\\sec(a)=\dfrac{1}{\cos(a)}\\\sin^2a+\cos^2a=1\\(a+b)^2=a^2+2ab+b^2$

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3 years ago

Roman55 [17]

Part A:What percentage of the total students surveyed like both watching television and reading?

The total amount of student is 230
The amount of students that like to read and watch television is 80

As a fraction it is 80/230
Turn that to a percentage
It is:34.7826%

Part A=34.7826%

Part B:What is the probability that a student does not like watching television also does not like reading?

On the table it shows 20

So the probability is 20/230

Part B=20/230

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1 year ago

the area of a rectangle with width x and length 7x is 7x^2 what does the coefficient 7 mean in terms of the problem

Nezavi [6.7K]

Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:

Width = x
Length = 7x
Area = x(7x) = 7x^2

The coefficient 7 would mean that the length is 7 times longer than the width, x.

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2 years ago

Sean said that the slope of the line is 3. is he correct?​

Sean said that the slope of the line is 3. is he correct?