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3 years ago

What is the slope intercept from the two points (6,-6) and (8,8)

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

y=7x+1/7

Step-by-step explanation:

Your points (8,8) and (6, -6) can easily be find the slope using (y2-y1) / (x2-x1)

This slope results in 14/2 or 7.

Find the b-value is simple - plug in your 7 into the equation, y=7x+b, then use an existing point on the line to find the b-value. In this case, I used the (8, 8) point.

After plugging in, simply divide to get numbers on the opposite side of variable, and you will end up with 1/7.

The equation turns out to be y=7x+1/7.

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Pls help thank you 168 = -84n

Ghella [55]

Answer:

n = -2

Step-by-step explanation:

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3 years ago

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Please help me! Solve for x : show your steps! 2(x +8) = 4(x+2)

Tju [1.3M]

Answer:

Step-by-step explanation:

First, use the distributive property: 2x+16=4x+8

Second, move +8 to the other side(and turn it negative): 2x+8= 4x

Do the same for +2x: 8=2x

divide both sides by 2: 4=x

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3 years ago

If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

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3 years ago

If the ratio of star shaped cookies to circular cookies is 5: 6 and the ratio of circular cookies to triangular cookies is 3: 10

SCORPION-xisa [38]

Answer:

$1:4$

Step-by-step explanation:

Without loss of generality, let there be 5 star shaped cookies. Following the proportions given, there will be 6 circular cookies. We can set up the following proportion to find out how many triangular cookies there would be:

$\frac{3}{10}=\frac{6}{x},\\3x=60,\\x=20$ .

Therefore, for every 5 star shaped cookies there will be 20 triangular cookies.

Simplifying this ratio we have $5:20 \implies \boxed{1:4}$ .

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3 years ago

If f(x) = 3x – 2 and g(x) = 2x + 1, find (f – g)(x).

aliina [53]

A 3-x because 3 equal f and g equal x for the second equation

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4 years ago

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