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aleksandrvk [35]
4 years ago
8

How do i solve this problem by factoring?

Mathematics
1 answer:
AlekseyPX4 years ago
3 0
Factor: Trying to factor by splitting the middle term

The first term is 15a^2, its' coefficient is 15

The middle term is - 58a, its' coefficient is - 58a

The last term is "The Constant" is +48

Multiply the coefficient of the first term by the constant 15(48) = 720

Find two factors of 720, whose sum equals the coefficient of the middle term, which is  -58

<span><span>-720    +    -1    =    -721 </span><span>      
-360    +    -2    =    -362 </span><span>      
-240    +    -3    =    -243 </span><span>      
-180    +    -4    =    -184 </span><span>      
-144    +    -5    =    -149 </span><span>      
-120    +    -6    =    -126 </span><span>      
-90    +    -8    =    -98 </span><span>      
-80    +    -9    =    -89 </span><span>      
-72    +    -10    =    -82 </span><span>      
-60    +    -12    =    -72 </span><span>      
-48    +    -15    =    -63 </span><span>      
-45    +    -16    =    -61 </span><span>     
 -40    +    -18    =    -58 </span></span>


Factoring: 15a^2  -  58a  +  48  = 0

Factor left side of equation:
(5a - 6)(3a - 8)


Set fractions equal to Zero
5a - 6 = 0  or  3a - 8 = 0


Answer :  a = 6/5 = 1.200  
or             a = 8/3 = 2.667






Hope that helps!!!!
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Carlo wants to join the gym.The gym offers three membership options 1.Pat as you go. 2.All in one price. 3.Regular deal
iragen [17]

Answer:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

1. $120  = Pay as you go

2. $90 = Regular Deal

3. $100 = All in one price.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

Step-by-step explanation:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

Question Complete: Carlo wants to join the gym. The gym offers three membership options

1.Pay as you go = Pay only $6 each time you work out

2.Regular deal = Pay $50 a month and $2 each time you work out

2.All in one price = Pay one time $100 per month for unlimited use of our great facilities.

Carlo thinks he will go to the gym about 20 times a month.

Calculate how much each of these options would cost Carlo for one month.

Solution:

Option 1. Pay as you go:

Each time gym fee = $6

Carlo thinks he will go to gym 20 times a month

So,

Cost for option 1 = $6 x 20 = $120

Option 2. Regular deal:

$50 a month + $2 each time

So, Carlo thinks he will go to gym 20 times a month

Cost for option 2 = $50 + 20x(2$) = $90

Similarly,

Option 3. All in one price:  

Fee = one time $100 per month.

Cost for option 3 = $100 per month

Because there is not any each time visit fee in this option, so whether Carlo go to gym 20 times or 30 times a day. he will be charged a fixed fee of $100 a month.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

6 0
3 years ago
Explanation needed
vagabundo [1.1K]

Answer:

A‘‘ (1,6)

Step-by-step explanation:

after a reflection about a horizontal line the x coordinates remain the same

the middle point of the segment AA’ lies on the line so it has y = -1

so we have

(y+y’)/2 = -1

y’ = -2 -y

y‘ = -2 -2 = -4

so A‘ (1,-4)

we can use the same reasoning to find the reflection about y = 1

x‘ = x

(y + y’)/2 = 1

y‘ = 2+4

y’ = 6

A‘‘(1,6)

8 0
3 years ago
Solve for X?<br> -6x+14&lt;-28,9x+15&lt;_-1
Gnom [1K]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

-6x + 14 < -28

- 14 from both sides

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Divide both sides by -6

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9x < -16

Divide both sides by 9

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。☆✼★ ━━━━━━━━━━━━━━  ☾

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Answer:

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Step-by-step explanation:

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What does it mean if the deviation in negative
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Answer:

No, standard deviation cannot be negative!

Step-by-step explanation:

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