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melomori [17]
4 years ago
13

What is the solution of the following system of equations ? y- 2x and= 6 , y - 4x =0

Mathematics
1 answer:
Sveta_85 [38]4 years ago
6 0

Answer:

x=3 and y=12

Step-by-step explanation:

y-2x=6     equation:1

y-4x=0     equation:2

Solving equation:1 for 'y' in terms of x

y=6+2x      equation:3

Putting 'y' in equation:2 which will make the equation of the single variable

y-4x=0

6+2x-4x=0\\-2x=-6\\x=3

Putting value of 'x' in equation:3 to find 'y'

y=6+2x

y=6+2(3)\\y=6+6\\y=12

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Find the first 4 terms in each sequence​
koban [17]

Answer:

a₁ = -21  (Given)

a₂ = -28

a₃ = -35

a₄ = -42

Step-by-step explanation:

First term a₁ = -21  (Given)

…………………………………

Second term a₂ :

a₂ = a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28

…………………………………

Third term a₃ :

a₃ = a_{3-1} - 7\\a_{2} - 7\\a_{2} = -28\\-28 - 7 = -35

…………………………………

Fourth term a₄ :

a₄ = a_{4-1} - 7\\a_{3} - 7\\a_{3} = -35\\-35 - 7 = -42

5 0
2 years ago
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
aliina [53]

Answer:  B. H(t) = -6.9(t - 2.3)² + 112

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex   ⇒    k is the maximum height

the distance traveled is when y = 0     ⇒    x=\sqrt{\dfrac{-k}{a}}+h

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = \sqrt{\dfrac{-98}{-7.1}}+2.3    = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \sqrt{\dfrac{-112}{-7.5}}+2.2    = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \sqrt{\dfrac{-112}{-6.9}}+2.3    = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

5 0
3 years ago
From Denver yo Chicago =3in if the scale is 1in=300miles
Amiraneli [1.4K]
Basically a proportion so it’d be 1in/300 mi = 3in/x mi
cross multiple that out and you get 300•3=x and then just solve for x. the answer should be 900 miles.
5 0
3 years ago
PLEASE HELP!!!
diamong [38]
DE. AB, is going up BC, isn't decreasing or increasing. CD, isn't decreasing or increasing. Therefore your answer is DE.
8 0
3 years ago
Read 2 more answers
43 divided by 982 with remainder
Marina CMI [18]
The answer to this question is 22.83 but if you want it rounded its 22.84
4 0
3 years ago
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