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lawyer [7]
3 years ago
10

The standard form of the equation of a parabola is x = y2 - 4y + 20. What is the vertex form of the equation? A.x = (y - 4)2 + 1

2 B.x = (y - 2)2 + 16 C.x = (y - 2)2 + 4 D.x = (y - 4)2 + 4
Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
If Logx<span> (1 / 8) = - 3 / 2, then x is equal to </span>

Solution 

Rewrite the logarithmic equations using exponential equation 

x- 3 / 2<span> = 1 / 8 </span>

The above equation may be rewritten as 

x<span> - 3 / 2</span><span> = 1 / 2</span>3<span> = 2</span>-3

(√x)-3<span> = 2</span>-3

The above equation gives 

<span>√x = 2 or x = 4 

</span>
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Prove that the sum of the squares of two consecutive integers is odd
seraphim [82]

Answer:

Step-by-step explanation:

Start by breaking up the question into parts:'always an odd number' . An even number is any number divisible 2 e.g. 2n, an odd number is always 1 higher or lower than an even number e.g. 2n+1 or something similar. Getting an answer at the end of working of this form will prove the theory'any two consecutive integers' means two numbers that are next to each other on the number line.To prove this, we can do this in terms of n i.e. n and n+1'the squares' square the two terms we have just written down to give n2 and (n+1)2The 'sum of the squares' tells us to add these two parts together. We would then hope to work through this and get something similar to the idea of 2n+1 or something similarn2+(n+1)2=2n2+2n+1=2(n2+n) +1. The first part of this is even because it is divisible by 2. By adding 1 it must become odd.

4 0
3 years ago
Read 2 more answers
A 4 pound bag of cherries costs $12.16. What is the price per ounce?
vfiekz [6]

if 4 pound bag = $ 12.16

1 pound bag = ?

=  \frac{1}{4}  \times 12.6

= $3.15

7 0
3 years ago
A burger place sells vanilla and chocolate shakes in two sizes, small and large. If 62% of shakes sold are vanilla flavor, 46% a
sineoko [7]

Answer:

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4 0
3 years ago
A car traveled 420 miles in 7 hours how many miles did it travel per hour?
podryga [215]

Answer:

60 Mile per hour

Step-by-step explanation:

Hello!

To find how far something travel in a span of time we divide the distance traveled by the time it took to travel that far

420/7 = 60

The Answer is 60mph

Hope this Helps!

5 0
3 years ago
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This figure is made up of two rectangular prisms.
borishaifa [10]

Answer:

Step-by-step explanation:

total volume=22×13×5+6×13×2=1430+156=1586 cm³

4 0
2 years ago
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