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geniusboy [140]
2 years ago
15

Log(3y+2)-1=log(y-4) solve y​

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
8 0

\log_{10} (3y+2) - 1 =  \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6

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I need the answer to this I am very confused
tiny-mole [99]

Answer:

C.

Step-by-step explanation:

These angles add up to form the angle measure of a straight line.

4 0
3 years ago
What is the volume of the rectangular prism?
Gnesinka [82]

Answer:

Option (4)

Step-by-step explanation:

Volume of a rectangular prism is given by the formula,

Volume = Length × Width × Height

From the picture attached,

Length of the prism = 5 cm

Width of the prism = 3\frac{3}{4} = \frac{15}{4} cm

Height of the prism = 8\frac{1}{2} = \frac{17}{2} cm

Volume of the given prism = \frac{5}{1} × \frac{15}{4} × \frac{17}{2}

                                             = \frac{5\times 15\times 17}{1\times 4\times 2}

                                             = \frac{1275}{8}

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Therefore, Option (4) is the correct option.

3 0
3 years ago
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
Arada [10]

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

8 0
3 years ago
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
babunello [35]

Answer:

x + 6

Step-by-step explanation:

Edit:

A moderator mentioned my answer had a mistake: turned out the question posted was incomplete. The complete question should read:

"

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 6

x – 3

x + 1

x + 6

"

As shown in the same graph, f(x) cross the x-axis at x = -6, -3 and 0.

When a polynomial crosses the x-axis at x = a, (x - a) must be a factor.

So (x + 6), (x + 3) and x are factors of f(x).

Of the options, the correct answer is x + 6.

The complete question with verified answer is here: brainly.com/question/3875529

6 0
2 years ago
Read 2 more answers
Which number round to 4,100 when rounded to the nearest hundred
scoray [572]
The answer would be B.

4 0
3 years ago
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