1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
worty [1.4K]
3 years ago
15

How do I factorise 2t^2 + 5t +2

Mathematics
1 answer:
alekssr [168]3 years ago
5 0
2t^2+5t+2\\\\a=2;\ b=5;\ c=2\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ t_1=\frac{-b-\sqrt\Delta}{2a}\ and\ t_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=5^2-4\cdot2\cdot2=25-16=9;\ \sqrt\Delta=\sqrt9=3\\\\t_1=\frac{-5-3}{2\cdot2}=\frac{-8}{4}=-2;\ t_2=\frac{-5+3}{2\cdot2}=\frac{-2}{4}=-\frac{1}{2}\\\\2t^2+5t+2=2(x+2)(x+\frac{1}{2})
You might be interested in
What is the constant rate of change in the equation?<br> Y=5x+10
mezya [45]

Answer:

m =5

Step-by-step explanation:

================================================

The "<em>constant rate of change</em>" is also known as the slope (in straight line equations).

The equation is in <em>slope-intercept form</em>.

================================================

<em>Slope-Intercept Form is: </em>

<em></em>y = mx + b\\&#10;\rule{150}{0.5}\\&#10;\text{m - slope}\\&#10;\text{b - Y-Intercept}

================================================

<em>Since '5' takes up 'm's spot, it is the slope, or the constant rate of change. </em>

================================================

<em>Hope this helps.</em>

6 0
3 years ago
Read 2 more answers
Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).
Setler79 [48]

Answer:

<h2>h(f(x)) = 2x - 11</h2>

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

<h3>h(f(x)) = 2x - 11</h3>

Hope this helps you

6 0
3 years ago
Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
Simplify (3x − 5) − (5x + 1). (2 points)
Verizon [17]

The correct answer is B. -2x-6


5 0
3 years ago
Read 2 more answers
Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,h
arsen [322]

Answer:

$840

Step-by-step explanation:

First, add 30 to 10.

Then, multiply your answer (40) by 21.

Finally, you get your final answer of $840.

6 0
3 years ago
Other questions:
  • The expression 3a + 2b + c / d gives the average number of points a team earns in d games by winning a games in regulation, b ga
    13·1 answer
  • How do u do this? HELPPPPPPPPPPPP
    5·1 answer
  • What is the counterclockwise rotation shown below? 13 pts.
    5·1 answer
  • The city purchased 24 new buses that each hold 32 passengers. It also purchased 18 new smaller buses that each hold 27 passenger
    5·1 answer
  • What do you call the set of points after you apply the transformation?
    12·2 answers
  • Find the value of X.
    13·2 answers
  • HELP PLEASE! Identify the distance between the points (2,4,12) and (7,4,0), and identify the midpoint of the segment for which t
    14·1 answer
  • I need help please.
    10·1 answer
  • HELP!! Angle Proofs- Geometry!
    9·1 answer
  • I need help with this asap, I don’t know how to solve it
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!