All categories

3 years ago

Solve the system of equations y=x^2+3x-4 and y=2x-4

Mathematics

1 answer:

laila [671]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 4 → (1)

y = 2x - 4 → (2)

Substitute y = x² + 3x - 4 into (2)

x² + 3x - 4 = 2x - 4 ( subtract 2x - 4 from both sides )

x² + x = 0 ← in standard form

x(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 → y = 2(0) - 4 = 0 - 4 = - 4 ⇒ (0, - 4 )

x = - 1 → y = 2(- 1) - 4 = - 2 - 4 = - 6 ⇒ (- 1, - 6 )

You might be interested in

∫ ex (sec x + tan²x) dx = ? a) eˣsec²x b) eˣsecx c) eˣtan²x d) eˣtanx

marysya [2.9K]

None of these options seem to be correct. You can check each result by differentiation:

$(e^x\sec^2x)'=e^x(\sec^2x+2\sec^2\tan x)=e^x\sec^2x(1+\tan x)$

$(e^x\sec x)'=e^x(\sec x+\sec x\tan x)=e^x\sec x(1+\tan x)$

$(e^x\tan^2x)'=e^x(\tan^2x+2\tan x\sec^2x)=e^x\tan x(\tan x+2\sec^2x)$

$(e^x\tan x)'=e^x(\tan x+\sec^2x)$

But none of these are equivalent to $e^x(\sec x+\tan^2x)$ ...

6 0

2 years ago

17.899 rounding to the nearest thenth

klio [65]

Answer:

17.9

Step-by-step explanation:

In 17.899 the tenth is .8 and because nine is greater than 5 the 8 becomes a 9

So in the end it looks like 17.9

Hope that helps and have a great day!

5 0

3 years ago

Read 2 more answers

-2(x - 4) = -8 solve

lilavasa [31]

X = 8

hope it helps : )

3 0

3 years ago

Read 2 more answers

Liam took 70 steps, for a minute, if he walked for 5 minutes, what would the ratio of feet to minutes be?

MissTica

Answer: 70:1 350:5

Step-by-step explanation: multiply 70 by 5 :)

8 0

1 year ago

Read 2 more answers

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second, Then v =

nikdorinn [45]

Answer:

Step-by-step explanation:

4 0

3 years ago