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Grace [21]
3 years ago
15

The vertex of this parabola is at (-5, -2). When the x-value is -4, the

Mathematics
2 answers:
ale4655 [162]3 years ago
4 0
Standard form of a parabola is (y-k) =a(x-h)² or y= a(x-h)² +k

The vertex of a parabola is v(h,k).

We have already h & k ( given) ==>v(-5, -2), we still have to calculate "a", the coefficient of the squared expression:
1st info: replace h & k by their respective values: y=a(x+5)² -2
2nd info: when x= -4, y= 2. Replace y & x  in the above equation so that to find a:  2 =a(-4 + 5)² -2==> 2=a(1)² - 2==> a=4 coef. of sqaared expression

dusya [7]3 years ago
3 0
I am pretty sure that it's
A. 1
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Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

A =P(1+\frac{r}{n})^n*t

Where

A = Accumulated amount  

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.  

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17  (as she will withdraw 3 month before the completion of five years)

A = 7100(1+\frac{2.8}{100} )^17

  = 7100( 1 + 0.028)^17

  =  7100(1.028)^17  

   = 7100 * 1.599

  = 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0
3 years ago
What is 80% as a fraction?
IgorLugansk [536]
<span>80% = 80/100 = 8/10 = 4/5</span>
8 0
2 years ago
Read 2 more answers
Explain how to use the break apart strategy to find 247+358
KIM [24]
1. Set up the long addition.
  2 4 7
+3 5 8 
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since 15 is two-digit, we carry the first digit 1 to the next column.
      1 
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+ 3 5 8 
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3. Calculate 4+5, which is 9. Now add the carry digit of 1, which is 10. Since 10 is two-digit, we carry the first digit 1 to the next column.
   1 1
   2 4 7
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4. Calculate 2+3, which is 5. Now add the carry digit of 1, which is 6.
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5. Therefore, 247 + 358 = 605.
   
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8 0
3 years ago
Read 2 more answers
State the domain and range for the association:
Lisa [10]

Answer:

D: (-6,4), R:(1,6)

Step-by-step explanation:

The domain is asking for how far the line goes across the x-axis.

The range is asking for how far the line goes across the y-axis.

Hope this helped

5 0
3 years ago
If all perpendicular lines are also intersecting lines, are all interesting lines also perpendicular lines? Explain, you'r answe
DerKrebs [107]

No.

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If two lines are perpendicular, they create four 90° angles.

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<em>All perpendicular lines are intersecting lines, but not all intersecting lines are perpendicular.</em>


3 0
3 years ago
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