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3 years ago

PLEASE HELP 20 POINTS!

Mathematics

1 answer:

Blizzard [7]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

According to the image description provided:

Term one starts with one dot. One is an odd number.

If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.

For example:

$3+2 =5$

Three is an odd number. If you add two to it, you would get five, which is another odd number.

Term two has 3 dots, term three has 5 dots, term four has 7 dots.

So, all terms should be odd.

Option D should be the correct answer.

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(-2x+3y=8....(i)<br>( x+y=2.........(ii)<br>solve by elumination method and substitution

yan [13]

Answer:

x = -2/5

y = 12/5

Step-by-step explanation:

Substitution method;

-2x + 3y = 8 -----------(i)

x + y =2 -----------(ii)

x = 2 - y

substitute the value of x in equ (i)

(-2)* (2-y) + 3y = 8

-4 + 2y + 3y = 8

5y = 8 + 4

y = 12/5

substitute the value of y in equ (ii)

x + 12/5 = 2

x = 2 - 12/5

= 2*5/1*5 - 12/5

= 10 -12/5 = -2/5

Ans: x = -2/5

y = 12/5

elimination method:

-2x + 3y = 8 -----------(i)

x + y =2 -----------(ii)

(i) ====> -2x + 3y = 8

multiply equ (ii) by 2 ====> <u> 2x + 2y = 4</u>

add (i) and (ii) 5y = 12

y = 12/5

Substitute in equ (ii)

x + 12/5 = 2

x = 2 - 12/5

= 2*5/1*5 - 12/5

= 10 -12/5 = -2/5

Ans: x = -2/5

y = 12/5

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3 years ago

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The answer is 21.9

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Pedro fills a glass 2/4 full with orange juice. Write a fraction with a denominator of 6 that is greater than 2/4.

Mice21 [21]

The answer is 3/6.
So we know that 2/4 is equivalent to 1/2. 1/2 of 6 is 3. We can make this our numerator and our denominator as 6.

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3 years ago

What is the differnce between (-4)-6

EastWind [94]

Answer:

Step-by-step explanation:

(-4) -6? well it equals 24 because a negative plus a negative equals a positive.

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3 years ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

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