All categories

3 years ago

What is the y-intercep is (0,-1) and slope is 4

Mathematics

1 answer:

lana [24]3 years ago

8 0

Answer:

y = 4x - 1

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = - 1, thus

y = 4x - 1 ← equation of line

You might be interested in

5х – 2 = 3х + 4 sove equation for x

Kazeer [188]

Answer:

x=3

Step-by-step explanation:

5х - 2 = 3х + 4

5х - 3х = 4 + 2

2х = 6

х = 6/2

х = 3

Hope this helps!

8 0

2 years ago

Read 2 more answers

30 POINTS, WILL GIVE BRAINLIEST IF ONLY RIGHT

Andreas93 [3]

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

3 years ago

A manufacturing process is designed to produce bolts with a 0.25-in. diameter. Once each day, a random sample of 36 bolts is sel

Troyanec [42]

Answer:

0.6170

Step-by-step explanation:

Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.

i.e. no of bolts which are produced as per standard is X means then

X is normal with mean = 0.250 and std dev = 0.04

No of bolts tested = 36

If this mean falls outside the interval (0.230,0.270) the production would be shut down.

i.e. P(|x-25|>0.20) =production shut down probability

$P(|x-25|>0.20)\\=P(|Z|>0.5)\\=2(0.5-0.1915)\\= 0.6170$

3 0

3 years ago

What is 44.5443495 rounded to the nearest thousand

prohojiy [21]

Answer:

Step-by-step explanation:

To the nearest thousand the answer is 0.

If you meant thousandth then the second 4 to the right of the decimal point occupies the thousandth place. so that 4 is followed by a 3, that 4 is not changed.

The answer is 44.544

but it does depend on what you meant.

7 0

3 years ago