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Varvara68 [4.7K]
3 years ago
7

The vertex form of the equation of a parabola is y= 3(x - 4)^2 -22. What is the standard form of the equation

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

option A

Step-by-step explanation:

We can find the standard form by expanding the equation:

y = 3(x-4)^2 - 22

y = 3(x^2 - 8x + 16) - 22

y = 3x^2 - 24x + 48 - 22

y= 3x^2 - 24x + 26

So the correct option is option A

shutvik [7]3 years ago
3 0

Answer:

option A) y= 3x²-24x+26 ~apex

Step-by-step explanation:

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Solve for x if -10x + 67 = 17<br><br> A) x=4<br> B) x= -50<br> C) x=5<br> D) x=10
olchik [2.2K]
Solve for x if -10x+67=17 the answer is:
D) x=10
8 0
3 years ago
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Two cards are randomly selected from an ordinary playing deck.
Anna007 [38]

Answer:

The required probability is 0.048

Step-by-step explanation:

Consider the provided information.

Out of 52 card we need to select only 2.

Therefore the sample space is: ^{52}C_2=1326

One card is Ace. The number of Ace are 4 and we need to select one of them.

This can be written as: ^4C_1=4

The second card can be Ten or a Jack or a Queen or a King.

There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.

So we can say that we need to select 1 card out of 16.

This can be written as: ^{16}C_1=16

Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:

P=\frac{16\times4}{1326}\approx0.048

Hence, the required probability is 0.048

3 0
4 years ago
In circle J with m<br> a. 46.5'<br> b.73'<br> c.292'<br> d.214'
arlik [135]

Answer:

B. 73°

Step-by-step explanation:

<em>m</em><em>L</em><em> </em>HLK = ½ × <em>mL</em><em> </em>HJK = ½×146=73°

6 0
3 years ago
Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.
zavuch27 [327]

Answer:

The smallest power of 10 that will exceed M is 10^{6}.

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

x.y \times 10^{n}, \forall \,x,y\in \mathbb{N}

Where:

x - Integer part, formed by a digit, which is of the highest order.

y - Decimal part, formed by a digit onwards.

n - Power grade.

The smallest power of 10 that will exceed M is 10^{n+1}

If M = 118,526.65902, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of M in scientific notation is:

M = 1.1852665902\times 10^{5}

Then, the smallest power of 10 that will exceed M is 10^{6}.

5 0
4 years ago
Evaluate the expression 3log3(6) and simplify it completely
Bond [772]
Gg easy

some properties
alogₓb=logₓbᵃ
logₐaˣ=x
logₐa=1
log(ab)=loga+logb
logₐx=y means a^y=x


3log₃6=log₃216=log₃(2³ times 3³)=log₃(2³)+log₃(3³)=log₃(8)+3

answer is log₃(8)+3 or 3(log₃(3)+1)
3 0
3 years ago
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