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2 years ago

The sum of x and 3 times y is 5. The difference of x and y is 5. Write two equations and graph to find the value of y.

Mathematics

1 answer:

kupik [55]2 years ago

5 0

Answer:

for the first one, x + 3 * y = 5

and the second equation, x - y = 5

Step-by-step explanation:

the sum of two numbers means for example the sum of 5 and 8 is 13, so as an equation that is 5 + 8 = 13

the difference is the same thing as the sum but it's subtraction.

and then times is just multiplication.

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Solve: log8 (x - 4) = 2

Vsevolod [243]

Answer:

x = 68

Explanation:

⇒ log₈(x - 4) = 2

apply log rules: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

simplify

⇒ x - 4 = 64

add 4 on both sides

⇒ x = 64 + 4

add the integers

⇒ x = 68

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1 year ago

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Factor 9s^2 - 36s + 35

Verdich [7]

Split the second term in 9s^2 - 36s + 35 into two terms

9s^2 - 15s - 21s + 35

Factor out common terms in the first two terms, then in the last two terms

3s(3s - 5) - 7(3s - 5)

Factor out the common term 3s - 5

(3s - 5)(3s - 7)

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2 years ago

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Mariana [72]

Answer:

0.06

Step-by-step explanation:

ok 1 tenth and 1 sixth are our equasions so lets conver then to desimals and lets start with 1 tenth so we devide 1/10 is 0.1 and now for 1 sixth is 0.6 so now we multiply the two and get 0.06

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2 years ago

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11111nata11111 [884]

Answer:

1) 78.54

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Step-by-step explanation:

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2 years ago

12) Given f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

never [62]

Answer:

Part a) Domain of f : {-3, -2, -1, 0, 1, 2, 3}

Part b) Domain of g : {-1, 0, 1, 2, 3, 4}

Part c) Domain of f+g = {-1, 0, 1, 2, 3}

Part d) Ordered Pairs of f-g = {(-1, 10), (0, 2), (1, -2), (2, 4), (3, 23)}

Step-by-step explanation:

Part a) Determining the domain of f

Given f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

Domain is the set of the input values of x which define the function. In other words, domain is the set of all the first elements of order pairs.

Domain of f : {-3, -2, -1, 0, 1, 2, 3}

Part b) Determining the domain of g

Given g= {(-1,4),(0,5),(1,6),(2,1),(3,-16),(4,-51)}

As domain is the set of the input values of x which define the function. In other words, domain is the set of all the first elements of order pairs.

Domain of g : {-1, 0, 1, 2, 3, 4}

Part c) Determining the domain of f+g

When there is a sum of two functions f and g, then domain of f+g will be the intersection of their domains.

As,

Given f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

Domain of f : {-3, -2, -1, 0, 1, 2, 3}

and,

Given g= {(-1,4),(0,5),(1,6),(2,1),(3,-16),(4,-51)}

Domain of g : {-1, 0, 1, 2, 3, 4}

As when there is a sum of two functions f and g, then domain of f+g will be the intersection of their domains

So, the domain of f+g = {-1, 0, 1, 2, 3}

Part d) List the ordered pairs of f-g

f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

and

g = {(-1,4),(0,5),(1,6),(2,1),(3,-16),(4,-51)}

For f - g, we must focus on subtracting the second (y) coordinates of both function that correspond to the same element in the domain (x)

(f - g)(x) = f(x) - g(x)

(f - g)(x) = f(-1) - g(-1) = 14 - 4 = 10

(f - g)(x) = f(0) - g(0) = 7 - 5 = 2

(f - g)(x) = f(1) - g(1) = 4 - 6 = -2

(f - g)(x) = f(2) - g(2) = 5 - 1 = 4

(f - g)(x) = f(3) - g(3) = 7 - (-16) = 23

So,

Ordered Pairs of f-g = {(-1, 10), (0, 2), (1, -2), (2, 4), (3, 23)}

Keywords: domain, function, f+g, f-g

Learn more about domain, and ordered pairs from brainly.com/question/11422136

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7 0

2 years ago