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Tpy6a [65]
3 years ago
8

R^2+4r+3 complete the square

Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer:

(x+3) (x+1)

Step-by-step explanation:

write 4r as a sum of 3r+r

r^2+3r+r+3

factor out r from the expression

r(x+3) + r + 3

factor out x+3 from the expression

(x+3) (x+1)

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Which of the following is equal to this expression?
Jlenok [28]

Answer:

B) 8\sqrt[4]{4}

Step-by-step explanation:

(2^{8} *2^{6} )^\frac{1}{4} = (2^{8+6} )^\frac{1}{4} =(2^{14} )^\frac{1}{4} =2^{\frac{7}{2} }=\sqrt{2^{7} }  =2^{3} \sqrt{2} =8\sqrt{2} = 8\sqrt[4]{2^{2} } = 8\sqrt[4]{4}

8 0
2 years ago
What is the sum of the given polynomials in standard form?<br> (x2 – 3x) + (–2x2 + 5x – 3)
NISA [10]
<span>-x2 + 2x - 3 is the final answer to that

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3 0
4 years ago
Read 2 more answers
A motor boat and a raft start traveling downstream. After 1 hour, the boat turns around and travels back until it reaches the ra
Minchanka [31]

Answer:

Speed of the current is 3 miles per hour.

Step-by-step explanation:

Raft and a motor boat starts traveling downstream at the same time from point B towards point A downstream.

Let the speed of the motorboat = v miles per hour

and speed of the current = u miles per hour

Motorboat travels downstream with the speed = (v + u) miles per hour

Distance traveled by motorboat in 1 hour (Distance AC) = (v + u)×1 miles

Now motorboat turns around and reaches point B where it meats the raft against the river stream.

Speed of motorboat against the current = (v - u) miles per hour

Let it takes to reach at point B = t hours

Distance covered AB = (v - u)t miles

From the figure attached,

Distance BC = AC - AB

6 = (v + u) - (v - u)t ------(1)

Now raft covered the distance 6 miles in (1 + t) hours with the speed = u miles per hour.

Equation will be u(t + 1) = 6 --------(2)

Now by equating both the equations

(v + u) - (v - u)t = u(t + 1)

v + u - vt + ut = ut + u

v - vt = 0

vt = v

t = 1 hours

From equation (2)

u(1 + 1) = 6

2u = 6

u = 3 miles per hour.

Therefore, speed of the current will be 3 miles per hour.

5 0
3 years ago
A number is 6 greater than 1/2 another number. If the sum of the numbers is 21,find the numbers.
Fed [463]
X = (1/2)y + 6
x + y = 21

Substitute (1/2)y + 6 as x into the equation x + y = 21 since x = (1/2)y + 6.
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0.5y + 6 + y = 21
1.5y = 15
y = 10

Same thing, now substitute 10 as y in the other equation.
x + y = 21
x + (10) = 21
x = 11

7 0
3 years ago
Kevin went bowling with $25 to spend. He rented shoes for $4.25 and paid $4.00 for each
baherus [9]

Answer:

4g+4.25\leq25

Step-by-step explanation:

He doesn't have more than $25

3 0
3 years ago
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