All categories

2 years ago

(8r2 -12r +4) - (3r2 + 5r -1)

Mathematics

1 answer:

Ivan2 years ago

7 0

Answer 5r^ 2 −17r+5

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "r2" was replaced by "r^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

(((8•(r2))-12r)+4)-((3r2+5r)-1)

STEP

Equation at the end of step

((23r2 - 12r) + 4) - (3r2 + 5r - 1)

STEP

Trying to factor by splitting the middle term

3.1 Factoring 5r2-17r+5

The first term is, 5r2 its coefficient is 5 .

The middle term is, -17r its coefficient is -17 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 5 • 5 = 25

Step-2 : Find two factors of 25 whose sum equals the coefficient of the middle term, which is -17 .

-25 + -1 = -26

-5 + -5 = -10

-1 + -25 = -26

1 + 25 = 26

5 + 5 = 10

25 + 1 = 26

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

5r^2 - 17r + 5

You might be interested in

Simplify the following expression<br>6a^4c+8ac^2-4a^4c-15-10ac^2

aleksandr82 [10.1K]

Answer:

2a^4c-2ac^2-15

Step-by-step explanation:

Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.

7 0

2 years ago

Read 2 more answers

Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Black_prince [1.1K]

Answer:

Step-by-step explanation:

To write it in standard form, we set the equation equal to 0. To do this, we add 6 to each side:

-6+6 = x² + 4x - 1 + 6

0 = x² + 4x + 5

The related function is

y = x² + 4x + 5

The value of c in this function is 5.

7 0

2 years ago

Solving Multi-Step Equations

KengaRu [80]

$1.\\2n+3n+7=-41\\5n=-41-7\\5n=-48\\n=-48:5\\\boxed{n=-9.6}\\------------------\\2.\\2x-5x+6.3=-14.4\\-3x=-14.4-6.3\\-3x=-20.7\\x=(-20.7):(-3)\\\boxed{x=6.9}\\------------------$

$3.\\2z+9.75-7z=5.15\\-5z=5.15-9.75\\-5z=-4.6\\z=(-4.6):(-5)\\\boxed{z=0.92}\\------------------\\4.\\3h-5h+11=17\\-2h=17-11\\-2h=6\\h=6:(-2)\\\boxed{h=-3}\\------------------$

$5.\\2t+8-t=-3\\t=-3-8\\\boxed{t=-11}\\------------------\\6.\\6a-2a=-36\\4a=-36\\a=-36:4\\\boxed{a=-9}\\------------------$

$7.\\3c-8c+7=-18\\-5c=-18-7\\-5c=-25\\c=(-25):(-5)\\\boxed{c=5}\\------------------\\8.\\7g+14-5g=-8\\2g=-8-14\\2g=-22\\g=-22:2\\\boxed{g=-11}\\------------------$

$9.\\2b-6+3b=14\\5b=14+6\\5b=20\\b=20:5\\\boxed{b=4}\\------------------\\10.\\2(a-4)+15=13\\2a-8=13-15\\2a=-2+8\\2a=6\\a=6:2\\\boxed{a=3}\\------------------$

$11.\\7+2(a-3)=-9\\2a-6=-9-7\\2a=-16+6\\2a=-10\\a=-10:2\\\boxed{a=-5}\\------------------\\12.\\13+2(5c-2)=29\\10c-4=29-13\\10c=16+4\\10c=20\\c=20:10\\\boced{c=2}$

8 0

2 years ago

PLZ HELP FAST

dolphi86 [110]

The answer is 2x-26
1+2x-27 9*3= 27
1-27+2x You would combine like terms here
2x-26

8 0

2 years ago

Read 2 more answers

If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in s

Tema [17]

Answer: $-\dfrac{2\sqrt{14}}{9}$

Step-by-step explanation:

Given

$\cos a=\dfrac{5}{9}$

$a$ lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity $\sin ^2 x+\cos^2 x=1$ to find sine value

$\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}$

$\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}$

8 0

2 years ago