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3 years ago

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

1 answer:

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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Amtrak trains from Chicago to Portland arrived at Havre, MT, where they make a crew change, the following numbers of minutes lat

arsen [322]

Answer:

45.6 min

Step-by-step explanation:

(26+17+245+19+38+42+11+0+14+44) / 10 = 456 / 10 = 45.6

6 0

3 years ago

Among a large group of patients recovering from shoulder injuries, it is found that 22% Visit both a physical therapist and a ch

EastWind [94]

Answer:

0.48

Step-by-step explanation:

First of all. let's recall probability formula needed for solving the problem.

We know that, If the events A and B are not mutually exclusive, the probability is:

probability of event (A or B) = probability of event A + probability of event B – p(A and B). 

This formula will be used in calculations of this problem.

Let's consider that event A is patient visiting physical therapist; event B is patient visiting chiropractor.

P (A∩B) = 0.22 (visiting both physical therapist and chiropractor) ⇔ p(A and B)

P(B) = P(A) + 0.14 [ Probability patient visiting chiropractor is 0.14 more than probability visiting physical therapist]

Patients visiting none of these is 12%

Those who visit either therapist or chiropractor are amount to 1 - 0.12 = 0.88

Now we should use the formula mentioned in the beginning of the text:

0.88 = P(A) + P(B) - 0.22 ⇒ P(A) + P(B) = 1.1

If we replace P(B) by P(A) + 0.14 ⇒ 2P(A) + 0.14 = 1.1 ⇒ 2P(A) = 1.1 - 0.14 = 0.96

So, P(A) = 0.96/2 = 0.48 [Probability of patients visiting therapist]

7 0

3 years ago

Find the area of an isosceles triangle with perimeter of 40 feet and a base of 12 feet. Round to the nearest whole number.

Aleksandr [31]

Answer: 76 ft2

Step-by-step explanation:

Perimeter = 2 side length +base length

40 = 2s +12

Solving for s:

40-12 =2s

28 =2s

28/2=s

14ft =side

Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)

Replacing with the values given:

14^2= 6^2 + x^2

196 = 36 + x^2

196-36 = x^2

160 = x^2

√160 = x

x = 12.64 (height)

Area of an isosceles triangle = 1/2 x base x height

A = 1/2 x 12 x 12.64 = 76 ft2

5 0

3 years ago

Suppose you earned 8t-3 on monday and 6t+5 dollars on tuesday. what were your total earnings? simplify your answer

Nadusha1986 [10]

Let
A=8t-3
B=6t+5

we know that
total earnings=A+B
so
total earnings=(8t-3)+(6t+5)------> (8t+6t)+(-3+5)------> (14t+2) dollars

the answer is
(14t+2) dollars

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3 years ago

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qwelly [4]

This is what the graph of in(x) looks like

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3 years ago