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nydimaria [60]
4 years ago
7

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that

can be evaluated without a calculator.
please help me fill in the blanks. any help would be appreciated.

Mathematics
1 answer:
malfutka [58]4 years ago
7 0

Answer:

3+2(log_{2}(x+1) )

Step-by-step explanation:

First simplify the quadratic present8(x^{2}+2x+1)=8(x+1)^{2}

log_{2}8+log_{2}(x+1)^{2}

⇒3+2(log_{2}(x+1) )

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Which point is a solution to the system of equations?<br> y = 2x + 2<br> Y = 3x
Kay [80]

Answer:

(2,6)

Step-by-step explanation:

y = 2x + 2

Y = 3x

2x+2=3x

2x-3x+2=0

-x+2=0

-x=-2

x=2

y=3(2)=6

                           

7 0
3 years ago
What is greater 6.67 or 6.670
Nitella [24]

Answer:

They are the same

Step-by-step explanation:

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3 years ago
Manuel bought 2kg of jelly beans and 2kg of gummy worms for a total of $26. Danny bought 2kg of jelly beans and 3kg of gummy wor
charle [14.2K]

Answer:

Jelly beans: $6 for 1 kg

Gummy worms: $7 for 1 kg

Step-by-step explanation:

In this question, we need to find the cost of 1kg of jelly beans and gummy worms.

To do this, make equations for both scenarios and solve:

2j + 2g = 26

2j + 3g = 33

Turn the bottom equation negative, as we will first solve for gummy worms (g).

2j + 2g = 26

-2j - 3g = -33

Solve:

-g = -7

Divide both sides by -1.

g = 7

We now know that gummy worms cost $7 for 1 kg

To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:

2j + 2(7) = 26

2j + 14 = 26

Subtract 14 from both sides.

2j = 12

Divide both sides by 2.

j = 6

Jellybeans cost $6 for 1 kg.

Check answer by plugging in values to one of the equations:

2(6) + 2(7) = 26

12 + 14 = 26

26 = 26

3 0
3 years ago
What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the
schepotkina [342]
Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm


Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
5 0
3 years ago
Can someone help me with the question in the image. if correct i will mark as brainliest
Alex777 [14]

Answer:

Multiply~the~length~of~the~leg~by~\sqrt{2}~to~arrive~at~the~length of~the~hypotenuse = 6.

Step-by-step explanation:

To~find~the~length~of~the~ hypotenuse,~we~multiply~the~length~of~the~leg by~\sqrt{2}:

3\sqrt{2} *\sqrt{2}=3*2=6

So~your~answer~to~this~question~is~option"b"

Hope~this~helps!

7 0
3 years ago
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