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Paul [167]
3 years ago
9

PLEASE HELP ME! What is the equation of a line that passes through the point (6, 1) and is perpendicular to the line whose equat

ion is y=−2x−6?
Enter your answer in the box.
Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:

y=0.5x-2

Step-by-step explanation:

if it is perpendicular to the line y=-2x-6, then you know that its slope is the negative reciprocal of that line, and it has a different y intercept which you need to solve for using the point given. You solve by plugging in the x and y values from the point and plugging in the slope into the standard equation, and solving for b, the y intercept

y=0.5x+b

1=0.5(6)+b

1=3+b

-2=b


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For each function below, determine whether or not the function is injective and whether or not the function is surjective. (You
Harlamova29_29 [7]

Answer: First, injective means that for every y, there is only one x such f(x) = y, and surjective means that if f is a function that goes from the set {x} to the set {y}, for every element y in the codomain there is at least one element x in the domain such f(x) = y

(a) f:R----> + R given by f(x) = x2 (i guess you written x^{2})

The function is not injective, because f(-2) = f(2), and is surjective, because the codomain is +R, and x^{2} is always a positive real number.

(b) f:N----> + N given by f(n) = n2  (i guess you written n^{2})

As the naturals have no negative numbers, in this case the function is injective, but isn't surjective, because there is no number that when squared is equal to 5, for example.

(c) f: Zx Z → Z given by f(n, k) = n +k:

here the domain is of the form (n,k) and the function is n +k, so the numbers (z,w) and (w,z) return the same value when evaluated in f, then f is not injective. And is easy to see that f is surjective, because in the sum you can reach al the integers on the codomain.

3 0
3 years ago
Help me solve this question please. Thank you
IrinaVladis [17]

Answer:

an = 80. 2^(n-5)

Step-by-step explanation:

r = a6/a5 =160/80 = 2

an = a5. r^(n-5)

= 80. 2^(n-5)

6 0
3 years ago
I need an equation for this problem: A small golf club manufacturer is concerned about their monthly costs. The shop has fixed c
Eduardwww [97]
100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs

Expenses per month = 23,250 + 145(100)  = 37,750

Revenue per month = 100 S

Break-even when Expenses = Revenue

<u>100 S = 37,750</u>

One question:  How did you solve it without an equation ?
6 0
3 years ago
My original lenguaje is Spanish so I'm really bad in English.
NNADVOKAT [17]

Step-by-step explanation:

lo siento much solo si fuera Buena con matimaticas.

6 0
3 years ago
What is the value of x
goblinko [34]

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3

8 0
3 years ago
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