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ddd [48]
4 years ago
9

Write the equation of the given line in slope-intercept form.

Mathematics
1 answer:
evablogger [386]4 years ago
5 0

Answer:y=7/2x+1


Step-by-step explanation:

Remember this formula

Y=mx+b

m=slope

b=y-intercept

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Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2
Andrew [12]

Answer:

The parameters in the parent function are:

  • the parameter correspondig to - 3 in the given function is 0 in the parent function.
  • the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
  • the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is f(x)=-cos(x/2)-3.

The parent function of f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx. The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

  • y=A(Bx)-C

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

  • y=1.cos(1.x)+0

Then, the parameters are A = - 1, B = 1, and C = 0.

3 0
3 years ago
A movie theater runs a special promotion where each person pays $10 for an all-day ticket and $2 for each item at the concession
Naddik [55]

Answer:

Each person pays $12.

Step-by-step explanation:

$10 + $2 = $12

4 0
3 years ago
A plane is flying at an altitude of 25,000 m. From the pilot, the angle of depression to the airport tower is 30°. How far is th
maria [59]
The question is modelled as shown in the diagram below

We have the angle, 30° and we know the length of the side opposite the angles, 25000 feet. We are looking for the ground distance between the plane and the tower. We will use the trigonometry ratio of Tan

tan(x)= \frac{opposite}{adjacent}
tan(30)= \frac{25000}{y}
y= \frac{25000}{tan(30)}
y=43301.27019

The distance between the point directly beneath the plane and the tower is 43301.3 feet (rounded to  2dp)

5 0
4 years ago
3) -2x – 3y = -7<br> -4x + y = 21<br> A) (-8, 4)<br> C) (2, 4)<br> B) (-4,5)<br> D) No solution
FromTheMoon [43]

Answer:

B). (-4, 5)

Step-by-step explanation:

-2x – 3y = -7 | ×2 |

-4x + y = 21 | ×1 |

-4x – 6y = -14

-4x + y = 21

____________ --

-7y = -35

y = -35/-7

y = 5

-4x + y = 21

-4x + 5 = 21

-4x = 21 - 5

-4x = 16

x = 16/-4

x = -4

6 0
3 years ago
What is the slope of the line on the graph?
ValentinkaMS [17]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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