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3 years ago

Identify the correct slope and y intercept of the equation 2x + 4y = 12.

1 answer:

7 0

The standard form of a line is an easy way to solve for the properties of a line, such as slope and the intercepts. Take a line with the equation in standard form,

Ax + By = C

The slope here is given by y = -A/B.
The x-intercept here is given by (C/A, 0).
The y-intercept here is given by (0, C/B).

For this problem, the equation is 2x + 4y = 12. Thus,
slope = -2/4 = -1/2
y-intercept = (0, 12/4) = (0, 3)

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Dafna1 [17]

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7 0

4 years ago

K(n)=2n-2. find k(-4)

zlopas [31]

-10 is the answer
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4 0

3 years ago

It is estimated that world reserves of oil currently stand at 2625

seraphim [82]

Answer:

35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

$\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)$

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

2625 = 45.5/ln(1.026)·(1.026^t -1)

2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

ln(2.480832) = t·ln(1.026)

t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

4 0

2 years ago

The function g is defined by g(x)=ax−7, where a is a constant. Find a, if the graph of g passes through the point ( 1/3 ,−2).

Daniel [21]

Answer:

a = 15

Step-by-step explanation:

The graph of function g(x) is described by g(x)=ax−7, or y = ax−7.

y = g(x)=ax−7 passes through (1/3, -2). We can subst. -2 for y and 1/3 for x to determine the value of the coefficient a:

-2 = g(1/3) = a(1/3) - 7

Solve for a. First, add 7 to both sides: 5 = a(1/3).

Next, multiply both sides by 3: 15 = a, or a = 15.

8 0

3 years ago

Help me with this question plz?

wel

Volume of cylinder = πr²h = π x 4² x 6 = 96π

volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π

You can see that volume of cone is more than twice of volume of cylinder. So she is not correct

8 0

4 years ago