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DerKrebs [107]
3 years ago
15

How to solve 3p^2-2p-5 step by step without splitting the middle term

Mathematics
1 answer:
choli [55]3 years ago
3 0
3p^2-2p-5= \\\\ a=3 \\ b=-2 \\ c=-5 \\\\ \Delta=(-2)^2-4*3*(-5) =4+60\to\boxed{64} \\\\ x_1;x_2=\frac{-(-2)  +/-  \sqrt{64}}{2*3}  \\\\ x_1;x_2=\frac{2 +/-8}{6} \\\\ x_1=\frac{2+8}{6}=\frac{10}{6}\to\boxed{\frac{5}{3}} \\\\ x_2=\frac{2-8}{6}=\frac{-6}{6}\to\boxed{-1} \\\\ 3p^2-2p-5=(x-\frac{5}{3})(x+1)
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
saw5 [17]

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13

Put m in (i) , we get

25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

7 0
3 years ago
The perimeters of the square and the triangle shown below are equal. What is the value of x?
Rudiy27
Perimeter is the sum of all the sides. So we can set up an equation:

\sf 3x+1+3x+1+3x+1+3x+1=2x+8+x+8+4x+2

Now solve for 'x', combine like terms:

When it comes to terms with variables it's just like normal addition but we keep the variable:

\sf 3x+3x+3x+3x=12x
\sf 2x+x+4x=7x

So we have:

\sf 12x+1+1+1+1=7x+8+8+2

Add:

\sf 12x+4=7x+18

Subtract 7x to both sides:

\sf 5x+4=18

Subtract 4 to both sides:

\sf 5x=14

Divide 5 to both sides:

\boxed{\sf x=2.8}
8 0
3 years ago
Mr johnson's students want to know his age. He tells them that this year his age is a multiple of 9, and next year it will be a
vladimir1956 [14]

Answer:

He is 27 years old.

Step-by-step explanation:

27 is a multiple of 9 (9 x 3)

28 comes after, and is a multiple of 4 (4 x 7)

Hope this answer helps you!! :)

8 0
2 years ago
A point is randomly chosen in the diagram shown below.
elixir [45]

Answer:

it is likely

Step-by-step explanation:

:)))

7 0
3 years ago
HELP ASAP!!! Please give a step-by-step explanation, or you will be reported!
stepan [7]

For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%

Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92

Step-by-step explanation:

there ya go!!

6 0
3 years ago
Read 2 more answers
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