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love history [14]
2 years ago
8

Factor the trinomial: 2x^2+13x+21

Mathematics
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

(2x + 7) \times (x + 3)

Step-by-step explanation:

{2x}^{2}  + 13x + 21

{2x}^{2}  + 7x + 6x + 21

x \times (2x + 7) + 3(2x + 7)

= (2x + 7) \times (x +  3)

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james and his sister save money for a trip to the water park. james has saved half the amount of money as his sister has saved.
valina [46]

Answer:

money saved by james = 30/2 = 15

equation used

money with James  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

Step-by-step explanation:

Let money saved by sister be x

given

James has saved half the amount of money as his sister has saved.

Money saved by James = x/2

Total money saved by both of them = x + x/2

If they both save 30 more

Then

money with sister = x + 30

money with james = x/2 + 30

given that If they both save 30 more, james will have saved 3/4 as much as her sister

thus,

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

=> 4(x+30*2) /2 = 3x+90

=> 2x + 120 = 3x + 90

=> 3x-2x = 120-90

=> x = 30

Thus,

money saved by james = 30/2 = 15

equation used

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

4 0
2 years ago
In the name Hernandez, find the ratio of number of vowels the length of the names.
olchik [2.2K]
Well in Hernandez there are 3 vowels, and 9 characters. 
So your ratio would be 3:9
Hope I helped!
5 0
3 years ago
Read 2 more answers
?????????????????????????????????????????????????
Masteriza [31]

Answer: 6

Step-by-step explanation: R=2 and S=1, and 2/1 is 2. Then it is simple math,

hope this helps

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
cupoosta [38]

x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x =  \frac{8 \pm \sqrt{ {8}^{2} - 4 \times 2 \times 5 } }{2 \times 2}

x =  \frac{8 \pm \sqrt{24} }{4}  \\  \\ x =  \frac{8 \pm2 \sqrt{6} }{4}

x = 2 \pm  \frac{ \sqrt{6} }{2}  \\  \\ x = 2  \pm  \sqrt{1.5}  \\  \\ x = 2 +  \sqrt{1.5}  \:  \: and \:  \:  \: 2 -  \sqrt{1.5}

\textbf{\red{Your answers are correct.}}
8 0
3 years ago
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and
miss Akunina [59]

Answer:

Step-by-step explanation:

We are going to assume that the show is sold out.  If 66 student tickets were sold, we only have 74 adult tickets to sell.  Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students.  Our inequality looks like this:

5.50(66) + 7.50(a) ≥ 910 and

363 + 7.50a ≥ 910 and

7.50a ≥ 547 so

a ≥ 73

In order to meet our money requirement, we have to sell 73 adult tickets.  Since we have 74 seats left, we are good.

8 0
3 years ago
Read 2 more answers
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