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g100num [7]
3 years ago
13

Find the quadratic function y=a(x-h)^2 whose graph passes through the given points. (12,-7) and (9,0)

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

y = (-7/3)(x - 9)

Step-by-step explanation:

<em><u>(12, - 7)</u></em>

y = a(x - h)^2

-7 = a(12 - h)^2

- 7 = a(144 - 24x + h^2)

<em><u>(9,0)</u></em>

0 = a(x - h)^2

0 = a(9 - h)^2

0 = a(81 - 18h + h^2)

From (9,0) we can conclude that

a = 0

or

(9 - h)^2 = 0

Let's try the second possibility.

Take the square root of both sides.

9 - h = sqrt(0)

Add h to both sides

9 - h = 0  

h = 9

So now what we have is

y = a(x - 9)

Use the first equation to get a

-7 = a(12 - 9)

-7 = a(3)

-7/3 = a

Answer

y = (-7/3)(x - 9)

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Write the recursive formula and the explicit formula for the sequence {-15,-7,1,9, 17,...}.
olchik [2.2K]

ANSWER

Explicit formula:

a_n= 8n - 23

Recursive

a_{n}= a_{n - 1} + 8,a_1=-15

EXPLANATION

The first term of the sequence is

a_1=-15

The common difference is

d =  - 7 -  - 15

d = 8

The nth term is given by the formula,

a_n=a_1 + d(n - 1)

a_n= - 15+ 8(n - 1)

a_n= - 15+ 8n -8

The explicit formula is;

a_n= 8n - 23

The recursive definition is

a_{n}= a_{n - 1} + 8,a_1=-15

5 0
4 years ago
Can someone help me with this question?
meriva
Whenever you have __% more of something and want to find the new value, first convert the percent to a decimal. Then multiply the original value by (1.00+that decimal). 

You have 6480 kg of sugar. 75%=0.75. If you want 75% more sugar, you would want 6480*(1.00+0.75) = 6480*(1.75) = 11,340 kg of sugar.
5 0
3 years ago
0.5x-7= 0.3 solve the equation<br><br><br><br><br>​
Lena [83]

Answer:

<h3>\boxed{ \bold{ \boxed{ \sf{x = 14.6}}}}</h3>

Step-by-step explanation:

\sf{0.5x - 7 = 0.3}

Move 7 to right hand side and change it's sign

⇒\sf{0.5x = 0.3 + 7}

Add the numbers

⇒\sf{0.5x = 7.3}

Divide both sides of the equation by 0.5

⇒\sf{ \frac{0.5x}{0.5}  =  \frac{7.3}{0.5} }

Calculate

⇒\sf{x = 14.6}

Hope I helped!

Best regards!!

3 0
4 years ago
Mr. Cohen drives 84 2/10 miles on Tuesday, 84 6/10 mils on Wednesday, and 85 miles on Thursday. What is the rule fore the distan
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+.4 miles everyday and the next number would be 95.4
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3 years ago
Xin orders 5 identical loaves of bread from the website of a bakery. The total shipping weight is 9 pounds, as molded on the bal
svetlana [45]

Answer: 1.8 pounds per loaf of bread

Step-by-step explanation:

Total shipping weight = 9 pounds

# of loaves of bread = 5

9/5 = 1.8 pounds per loaf

6 0
3 years ago
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