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AVprozaik [17]
2 years ago
10

The vertex of this parabola is at (3,5) when the y-value is 6 the x value -1 what is the coefficient of the squared term in the

parabolas equation
Mathematics
1 answer:
ale4655 [162]2 years ago
3 0

Answer:

1/16

Step-by-step explanation:

Here,

Vertex =(3,5)

x= -1, y=6

Simply,eqn of parabola is given by ax^2+bx+c=y

So, coefficient of squared term (x^2) is 'a'

Therefore, we've to find the value of a

Moving on to solution:

a-b+c=6 ___(i) (by putting the given values of x and y in eqn of parabola )

We know that,

Vetex=(-b/2a, ( 4ac-b^2)/4a)

(3,5) = (-b/2a , (4ac-b^2)/4a)

Equating corresponding sides,we get

3= -b/2a

b=-6a___(ii)

Again,

5=(4ac-b^2)/4a

5=(4ac/4a) - (b^2/4a)

5= c- (36a^2/4a) (by putting value of b from eqn ii )

5= c-9a___(iii)

Now,moving back to the first eqn

a+6a+5+9a=6

16a=1

therefore,a=1/16

Hence ,the required value of coefficient of squared term is 1/16.

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The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion
Alex787 [66]
If you would like to know how many people attended the reunion last year, you can calculate this using the following steps:

125% of last year's attendance is 160 people
125% of x is 160
125% * x = 160
125/100 * x = 160     /*100/125
x = 160 * 100 / 125
x = 128 people (last year)

Result: 128 people attended the reunion last year.
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Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion
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Answer:

6 seconds

Step-by-step explanation:

Initial distance of Mario from motion detector = 2 ft

Speed of Mario = 1.5 ft/sec

Total distance of Mario from motion detector = 11 ft

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Given that:

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<em>Formula:</em>

Distance = Speed \times Time

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6 0
3 years ago
15% of 90 hours<br> 15% of 90 hours
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Answer:

15 percent of 90 hours = 13.5 hours

What is 15% of 90?

Y is 15% of 90

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

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Converting percent to decimal:

p = 15%/100 = 0.15

Y = 0.15 * 90

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4 0
3 years ago
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Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8$ tax. How much did each person pay?
-Dominant- [34]
Dave pays $15 and tax is $1.2 so dave spent a total of $16.20.

Mel pays $20 and tax is $1.6 so Mel spent a total of $21.60.

All you need to do is convert the percent to a decimal, so take 8 and divide by 100 and you get 0.08. then you need to  multiply the cost by the tax so 15*0.08=1.2 then you just add tax to original amount 15+1.2=16.2
:)
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3 years ago
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Which table represents exponential growth? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. T
Papessa [141]

Answer:

Table 2

Step-by-step explanation:

We have the tables:

<u>Table 1:</u>

x: 1  2  3  4

y: 2  4  6  8

<u>Table 2:</u>

x: 1  2  3  4

y: 2  4  8  16

<u>Table 3:</u>

x: 1  2  3  4

y: 2  4  7  11

<u>Table 4:</u>

x: 1  2  3  4

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An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.

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<u>Table 2:</u>

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The common ratio here is 2, so we know this is correct.

<u>Table 3:</u>

11/7 = 1.57

7/4 = 1.75

Again, we can see that 1/57 ≠ 1.75, so this is wrong.

<u>Table 4:</u>

10/6 = 1.67

6/4 = 1.5

Again, there is no common ratio here, so this is wrong.

The answer is thus Table 2.

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