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azamat
3 years ago
14

What is the vertex of the graph of this equation y = 2x2 + 8x-24?

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Answer: The vertex is ( -2, -32)

Step-by-step explanation:

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thomas want to save money for a vacation. Thomas invest $1,300 in account that pays an interest rate of 6.25% how many years wil
Harrizon [31]

Answer:

  44.2 years

Step-by-step explanation:

If we assume the interest is compounded annually and the investment is a one-time deposit into the account, its value each year is multiplied by 1+6.25% = 1.0625. After n years, the value in the account will be ...

  19000 = 1300·1.0625^n

Dividing by 1300 and taking logs, we have ...

  log(19000/1300) = n·log(1.0625)

  log(190/13)/log(1.0625) = n ≈ 44.24 . . . .  years

It will take about 44.2 years for the account to reach $19,000.

5 0
3 years ago
Read 2 more answers
Flying to Kimpala with a tail wind a plane averaged 158km/hr. On the return trip the plane only average 112km/hr. While flying b
lora16 [44]

The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

<u>Step-by-step explanation:</u>

Let the speed of wind and speed of plane in still air  are  w  and  p km/h respectively.  

The effective speed on onward journey was  

p+w=158  ................(1)

The effective speed on return journey was  

p-w=112 ..............(2)

Adding equation (1) and equation (2) we get,  

⇒ (p+w)+(p-w) = 158+112

⇒ 2p = 270

⇒ p = 135

Putting value of p = 135 in p+w=158 we get:

⇒ p+w=158

⇒ 135+w=158

⇒ w=23

Therefore ,The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

3 0
3 years ago
Shane wants to buy a 3D television set. He has saved some money and is able to pay $600 as a down payment and is making monthly
Harman [31]

Answer:

the equation is

p = 600 + 150x

x is month

5 0
3 years ago
Need help with number 7
tatyana61 [14]

Since she runs 6\frac{1}{2} miles each day and there 7 days per week, you will have to multiply 6\frac{1}{2} times 7.

But since you have to use distributive properties, multiply like this (6\frac{1}{2})(7)

6\frac{1}{2} is equal to \frac{13}{2}

Now turn 7 into a fraction, so its \frac{7}{1}

Now multipy (6\frac{1}{2})(\frac{7}{1})

Multiply the numerators, so its 7 * 13 which gives you 91 and multiply the denominators so its 1 * 2 which gives you 2.

Put that back into a fraction as \frac{91}{2}

Divde it to change it to a mixed number and the answer is 45\frac{1}{2}

8 0
3 years ago
Find an equation for the line that passes throughthe points (1,-1) and (-3,5)
Tju [1.3M]
U can pick either point to finish

y - 1 = 2(x-1)
y= 2x-2 +1
y = 2x-1

or

y-5 = 2(x-3)
y = 2x-6+5
y = 2x-1
4 0
2 years ago
Read 2 more answers
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