All categories

3 years ago

Write an equation of the line that passes through (-6,0) and (0, - 24). y=

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

y=-4x-24

Step-by-step explanation:

The equation of a line is always in the form y=mx+c. By subbing in the values given by the two points, we get:

0=-6m+c

-24=c

∴0=-6m-24

6m=-24

m=-4

∴the equation is: y=-4x-24

You might be interested in

P(t) = 250 * (3.04)^t/1.98,

Alex17521 [72]

Answer:

The concept which best describes the change of the population is the derivative of $p(t)=250(3.04)^{\frac{t}{1.98}}$ .

Step-by-step explanation:

Observe that the function $p(t)=250(3.04)^{\frac{t}{1.98}}$ describes the amount of rabbits at the time t (in years) but no the rate of change of the population at a given instant. So you have to use the derivative of $p(t)$ to obtain that rate of change at any instant. For example, if we derivate the function $p(t)=250(3.04)^{\frac{t}{1.98}}$ we obtain:

$p'(t)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{t}{1.98}}$

And if we want to find the rate of change at $t=5$ years we evaluate

$p'(5)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{5}{1.98}}=2326$ rabbits/year

5 0

3 years ago

Michelin Tires would like to estimate the average tire life of its Latitude Tour tire in terms of howmany miles it lasts. Assume

VARVARA [1.3K]

Answer:

6 samples

Step-by-step explanation:

Given :

Sample size, = n

Standard deviation, = 6000

Margin of Error = 2000

Confidence interval, α = 95%

Zcritical at 95% = 1.96

n = (Zcritical * σ) / margin of error

n = (1.96 * 6000) /2000

n = 11760 / 2000

n = 5.88

n = 6 samples

6 0

2 years ago

Answer the question in the pic below (math)

Marta_Voda [28]

Answer:

46.95 in.²

Step-by-step explanation:

Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H

Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²

Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.

Height of prism (H) = 10 in.

Plug in the values

Surface area = 1.95 + 4.5*10 = 46.95 in.²

7 0

3 years ago

4 cos²x – 1=0<br><br> What is the solution?

andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

Step-by-step explanation:

$4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\$

$cos(x)=\pm\sqrt{\frac{1}{4} }$

$cos(x)=\pm\frac{1}{2}$

So, when cos(x) is equal to

$\frac{1}{2} \text{ and } -\frac{1}{2}$ ?

For

$cos(x)=\frac{1}{2}$

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

For

$cos(x)=-\frac{1}{2}$

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

6 0

3 years ago

Please help me out!

marishachu [46]

Answer: g = -4 and h =1 or g= -1 and h = -2

Step-by-step explanation:

If two exponents have the same base and are multiplied together, you will keep the base unchange and add the exponents.

So looking at the equation, the base is 2 for both and they are raised to the powers g and h, meaning that if g and h are added together they have to equal -3.

So find two numbers that their sum is -3.

For example, -1 and -2 add up to -3, -4 and 1 add up to -3.

4 0

3 years ago