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3 years ago

Four students wrote sequences during math class. Angela

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

we need more info to answer

Step-by-step explanation:

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Determine the truth value of the given conditional statement

seraphim [82]

Answer: A false statement implies a true statement, so the conditional statement is true

Step-by-step explanation:

4 0

2 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)

5 0

2 years ago

Read 2 more answers

Claire buys a jacket that originally cost $76, the price is marked down 25%and Claire has a coupon to further reduce the price b

Sauron [17]

Answer:

$51.30

Step-by-step explanation:

76 decrease 25% =

76 × (1 - 25%) = 76 × (1 - 0.25) = 57

57 decrease 10% =

57 × (1 - 10%) = 57 × (1 - 0.1) = 51.3

5 0

3 years ago

Ski rentals are $100 plus $18 per hour, as shown in the table above.

lisabon 2012 [21]

Answer:

1. f(x)=18X +100

2:108

3. 7.5

Step-by-step explanation:

3 0

2 years ago

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one serving of oatmeal provides 16% of fiber you need daily. you must get the remaining 21 grams of fiber from other resources.

stira [4]

1 - 0.16 = 0.84
21/0.84 = 25
25 grams of fiber should be consumed daily.

3 0

3 years ago