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STatiana [176]
3 years ago
15

jabal and micahel are walking to schoold and agree to leave their homes at the same time. jabal leaves his house walking 2 meter

s per second. michael leaves his house walking 2.5 meters per second. jabla's hoousde is 100 meters closer to school than michael's house. after how long are the boys walking together? show all your work
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0
Im not sure if you still want an answer but if you want i can give one to you sorry im late (:(
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Which description matches the transformations y=cos x undergoes to produce y=-2cos3x?
mrs_skeptik [129]

Answer:

horizontal compression by factor 3, vertical stretch by factor 2, then reflection across the x-axis ⇒ answer A

Step-by-step explanation:

* Lets revise some transformation

- A vertical stretching is the stretching of the graph away from

 the x-axis

# If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

  by multiplying each of its y-coordinates by k.

# If k should be negative, the vertical stretch is followed by a reflection

  across the x-axis.  

- A horizontal compression is the squeezing of the graph toward

 the y-axis.

# If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

  compressed by dividing each of its x-coordinates by k.

* Lets solve the problem

∵ y = cos x

∵ y = -2 cos 3x

- At first cos x multiplied by -2

∵ y multiplied by -2

∵ 2 > 1

∴ y = cos x is stretched vertically by factor 2

∵ The factor 2 is negative

∴ y = cos x reflected across the x-axis

∴ The function y = cos x stretched vertically with factor 2 and then

  reflected across the x-axis ⇒ (1)

∵ cos x changed to cos 3x

∵ x multiplied by 3

∵ 3 > 1

∴ y = cos x compressed horizontally by factor 3

∴ The function y = cos x compressed horizontally by factor 3 ⇒ (2)

- From (1) and (2)

* The function y = cos x has horizontal compression by factor 3,

  vertical stretch by factor 2, then reflection across the x-axis to

  produce y = -2 cos 3x

5 0
3 years ago
Marco mark changes $3.98 for a pound of lean ground beef.how much a customer pay for 2.6 pound of lean ground beef?
melamori03 [73]

Answer:

$10.348

Step-by-step explanation:

(3.98)(2.6)= 10.348

8 0
3 years ago
Wat is the greatest common factor of 20 and 36
Maru [420]

Answer:

<h2><em><u>2</u></em><em><u>0</u></em><em><u>=</u></em><em><u>1</u></em><em><u>,</u></em><em><u>2</u></em><em><u>,</u></em><em><u>4</u></em><em><u>,</u></em><em><u>5</u></em><em><u>,</u></em><em><u>1</u></em><em><u>0</u></em><em><u>,</u></em><em><u>2</u></em><em><u>0</u></em></h2><h2><em><u>3</u></em><em><u>6</u></em><em><u>=</u></em><em><u>1</u></em><em><u>,</u></em><em><u>2</u></em><em><u>,</u></em><em><u>3</u></em><em><u>,</u></em><em><u>4</u></em><em><u>,</u></em><em><u>6</u></em><em><u>,</u></em><em><u>9</u></em><em><u>,</u></em><em><u>3</u></em><em><u>6</u></em></h2><h2><em><u>Answer</u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em><em><u>4</u></em></h2>
3 0
4 years ago
Read 2 more answers
Two linear functions are displayed. Function One is represented by the graph:
GarryVolchara [31]

Answer:

Option A

Step-by-step explanation:

Function One is represented by the graph. We can see that the slope of the First Function is positive because the formula of slope is

Slope=\frac{Change\ in\ y}{Change\ in\ x} \\\\

And we can see that in the graph the change in y and change in x are both positive as the function is increasing because if we see the graph closely,

When x = 1 the value of y = 2 and when x = 2 the value of y = 4 and when x = 3 the value of y = 6 so the values are increasing of x and of y hence the slope is positive and the value of slope is 2.

Now the Second Function which is y = -4x here the slope is negative because the slope-intercept form of the equation is .

y=mx+b

and the second function is

y=-4x

if we compare both these equations we get the value of m = -4 where m is also called the slope. So the slope of the second function is negative.

So

Option B is incorrect because the slope of the first function is positive

Option C is incorrect because the slope of the second function is negative

Option D is incorrect because the slope of the first function is 2 and the slope of the second function is -4

That leaves us with Option A which is correct, where we can see that the slope of the first function is positive and the slope of the second function is negative

3 0
3 years ago
Read 2 more answers
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw,
klasskru [66]

Answer:

length = (x − 8) units and width = (x − 9) units

Step-by-step explanation:

We need to factor

x^2 - 17x + 72

We need two numbers whose product is 72 and whose sum is -17.

The numbers are -8 and -9.

x^2 - 17x + 72 = (x - 8)(x - 9)

Answer: length = (x − 8) units and width = (x − 9) units

8 0
3 years ago
Read 2 more answers
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