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3 years ago

Which of the following is the graph of y = cosine (2 (x + pi))?

Mathematics

2 answers:

blagie [28]3 years ago

6 0

Answer:

Step-by-step explanation:

edge2020

bonufazy [111]3 years ago

4 0

On a coordinate plane, a curve crosses the y- axis at (0,1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycle at 2 pi.

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Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0

3 years ago

Which equation is a point slope form equation for line AB ?

kap26 [50]

Answer:

$y-5=\frac{3}{4}(x-6)$

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

$y-y1=m(x-x1)$

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{5+1}{6+2}$

$m=\frac{6}{8}$

simplify

$m=\frac{3}{4}$

step 2

Find the equation of the line

we have

$(x1,y1)=(6,5)$

$m=\frac{3}{4}$

substitute

$y-y1=m(x-x1)$

$y-5=\frac{3}{4}(x-6)$

3 0

3 years ago

Rewrite 0.37 in expanded form using powers of ten.

Black_prince [1.1K]

Expanded form is the form of writing numbers in addition. Example: 653 would be 600+50+3 in expanded form. .37 using powers would be 37×10^-2 .

In expanded form, we just need to expand the 37 because it is the only one with 2 different places without a 0 in either one.

Answer: 30+7×10^-2 would be the expanded form of .37 using powers of 10.

4 0

3 years ago

Please find the fully simplified intercept form!!!! Will mark Brianliest !!!!!!!!!!!

photoshop1234 [79]

Answer:

y = -1/3x - 8

Step-by-step explanation:

<u>Slope intercept form:</u>

y = mx + b

<u>Use two points from the graph:</u>

(0, -8) and (3, -9)

<u>The first point is the y-intercept: </u>

b = -8

<u>Find the slope using the slope formula:</u>

m = (y2 - y1)/(x2 - x1)
m = (-9 - (-8))/3 = -1/3

<u>The equation is:</u>

y = -1/3x - 8

7 0

3 years ago

May someone help me with this quick math problem

vekshin1

Hello,

The correct answer is D) 2

Median: To find the Median, place the numbers you are given in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.)

The median number of trips taken to the food store in 1 week is 2.

4 - 2 = 2

Hope this helps!!!! :)

8 0

3 years ago