When a variable are immediately next to each other with no symbol between them, what operation is implied

Just need help with #2 <br> Please help!<br> Thank you <br> (15 points)

IrinaK [193]

So you write into the table that x = 1 then y will equal 1*1.5 which equal to 1.5. So under x = 1 in y table you write y = 1.5, and so on

6 0

2 years ago

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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)

5 0

2 years ago

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The budget for a remake of a movie is 100 times the budget of the original movie. The original movie's budget was 10^5 dollars.

Arte-miy333 [17]

Answer:

100,000,000

Step-by-step explanation:

10*10=100*10=1000*10=10000*10=100000*10=1000000*100=100,000,000

4 0

3 years ago

What are the measure of angles 1 and 2

riadik2000 [5.3K]

Answer:

50° and 130°

Step-by-step explanation:

∠1 is a chord- chord angles and is calculated as

∠1 = 0.5( arc RQ + arc ST) = 0.5(53 + 47)° = 50°

∠1 and ∠2 form a straight angle and are supplementary, hence

∠2 = 180° - 50° = 130°

6 0

2 years ago

8 wholes and 4/6 minus 2 wholes and 5/6 is what

podryga [215]

The answer to your problem should be 5 wholes and 5/6 since the denominators are the same just add 6 more pieces to 4/6 to get an improper fraction then subtract to get the answer. Hope this helps and have a fabulous day!

5 0

2 years ago