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3 years ago

Find the x-intercept for the line represented by this equation. y=5x-2

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

Answer:

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis. At this point on the x- axis the y- coordinate is zero.

To find the x- intercept let y = 0 in the equation and solve for x, that is

5x - 2 = 0 ( add 2 to both sides )

5x = 2 ( divide both sides by 5 )

x = $\frac{2}{5}$ ← x- intercept

coordinates of x- intercept are ( $\frac{2}{5}$ , 0 ) → C

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Help please ..........

olganol [36]

Answer:

7. combination; 25C6 = 177100

8. combination; 15C5 = 3003

Step-by-step explanation:

7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.

8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.

_____

Of course, nCk = n!/(k!(n-k)!)

7 0

3 years ago

Se compró un artículo en S/. 219. ¿Qué precio debe fijarse para su venta al público?, para que haciendo un descuento del 25% tod

MrMuchimi

Answer:

342,1875

Step-by-step explanation:

Dado

Precio de compra del artículo = 219

Precio de venta cuando el descuento dado es 25% = 219 + 0,25 * 219 = 273,75

Para otorgar un descuento del 25%, este producto debe estar marcado a un precio un 25% más alto que los precios de venta = 273,75 + 0,25 * 273,75 = 342,1875

8 0

2 years ago

true or false the standard error of the sum and the standard error of the average both get smaller as the sample size increases

Murrr4er [49]

Answer:

false

Step-by-step explanation:

6 0

3 years ago

What is 4 divided by 4567?

oksano4ka [1.4K]

The answer is <span>1141.75 because all u r doing is dividing and 4 can't into 4567.</span>

7 0

3 years ago

A drag racer accelerates at a(t) = 66 ft/s^2. Assume that v(0) = 0 and s(0) = 0.

Mariana [72]

So lets write down what we have a(t) = 66 and v(0) = 0 and s(0) = 0

a) Determine the position function.

To do this we have to integrate our acceleration function twice, or we have to integrate the acceleration function to get our velocity function and then integrate that to get our position function.

So:

$\int\limits {a(t)} \, dt = \int\limits {66} \, dt$

= 66t + c

This means that v(t) = 66t + c

We know that v(0) = 0, so:

v(0) = 66(0) + c

c = 0

So v(t) = 66t (This will be helpful for us later)

Now we have to integrate again.

$\int\limits {66t} \, dt$

$= 33t^2 + c$

*note that both of these integrands are done with the reverse power rule for integration*

So we can say that $s(t) = 33t^2 + c$

But we know that s(0) = 0

s(0) = 33(0)^2 + c

c = 0

So... s(t) = 33t^2

b) Now we can answer this question using our position function!

All we have to do is plug in t=5 for s(t)

So...

s(5) = 33(5)^2

s(5) = 825 ft

c) So this is essentially the same problem as b except now we are solving for the time instead of the distance.

We know that in 1 mile there are 5280 ft

So in 1/3 a mile there are 5280(1/3) ft or 1760 ft

Now we can set 1760 equal to s(t) and solve for t

1760 = 33t^2

t^2 = 53.33

$t = \sqrt{53.33}$

t = 7.30s (we only consider positive answers for time)

d) This is the same question as c just a different distance so:

Setting 300 for s(t)

300 = 33t^2

t^2 = 9.091

$t = \sqrt{9.091}$

t = 3.015s

e) So for this question we have to approach it in terms of the velocity function not the position function. Then we will solve for the time it took to travel with that velocity and then plug that time value into the position function.

So:

v(t) = 66t

We know that in this case v(t) = 178 ft/s

So: 178 = 66t

t = 2.6969 // t = 2.7s

Now we can use this time in our position function to solve for the distance traveled.

s(t) = 33t^2

s(2.7) = 33(2.7)^2

s(2.7) - 240.57 ft

Hope this helped!

3 0

2 years ago