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2 years ago

if the equation y=-4x+b represents the line that passes throught the point (1,4) determine the value of the y-intercept

Mathematics

1 answer:

kvv77 [185]2 years ago

5 0

Answer:

y-intercept (0, 8)

Step-by-step explanation:

Plug in (1,4) --> (x,y) and solve for b (y-intercept):

y = -4x + b

4 = -4(1) + b

4 = -4 + b

b = 8

Therefore the y-intercept is (0, 8)

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A glacier in Alaska moves about 29.2 meters a day.

Leto [7]

Answer:

29,100

Step-by-step explanation:

29.1 × 10 = 291

29.1 × 100 = 2,910

29.1 × 1000 = 29,100

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2 years ago

What transformation transforms (a, b) to (a, −b) ?

mash [69]

Answer:

Reflection over the x-axis

Step-by-step explanation:

The transformation rule for a reflection over the x-axis is (x, -y)

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2 years ago

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Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost

Reptile [31]

Answer:

$12.80

Step-by-step explanation:

Before markup: $8

After markup: $8 x 160% = $12.80

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2 years ago

Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9

AnnZ [28]

Answer:

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

Step-by-step explanation:

We have been given that

$f(x)=x^3-27,g(x)=3x-9$

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes - $a^3-b^3=(a-b)(a^2+ab+b^2)$

$f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)$

And g(x) can be written as

$g(x)=3x-9\\=3(x-3)$

Thus, we have

$(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}$

On cancelling the common factors, we get

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

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2 years ago

The value, V(m), of a comic book m months after publication has an average rate of change of -0.04 between m = 36 and m

vodka [1.7K]

Answer:

I believe the correct answer is C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Step-by-step explanation:

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