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3 years ago

I need help with this one, it has fractions

Mathematics

2 answers:

zepelin [54]3 years ago

8 0

Answer:

$( - 6m + 8)$

Step-by-step explanation:

$\frac{2}{3} ( - 9m + 12)$

Factor out 3 form the expression

$\frac{2}{3} \times 3( - 3m + 4)$

Reduce the numbers with greatest common divisor 3

$2( - 3m + 4)$

Distribute 2 through the parenthesis

$( - 6m + 8)$

Georgia [21]3 years ago

5 0

Answer:

$\huge\boxed{-6m+8}$

Step-by-step explanation:

$=(\frac{2}{3})(-9m+12)$

$(\frac{2}{3})(-9m)+(\frac{2}{3})(12)$

$=-6m+8$

$Thus, the~third~option ~is~correct.$

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Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)

Vilka [71]

Answer:

$x=3\log_3 (2) +8$

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

Then we have $x=\frac{3\log(2)}{\log 3} +8$ .

Now, using change of base formula:

$\frac{\log y}{\log b}=\log_b y$

So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

6 0

3 years ago

Read 2 more answers

Factor this trinomial fast please!<br><br>p? +11p + 28<br>

Tanya [424]

Answer:

it is 12x^2 +6x

Step-by-step explanation:

x^2 +8x +16

x^2-144

= 12x^2 + 6x

Brainliest if im right pls? uwu

6 0

2 years ago

Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?

torisob [31]

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

$n \times p$

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

$6 \times 2 = 12$

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

$\frac{1}{12}$

A is the answer.

3 0

2 years ago

A container holds 4 3/8 gallons of water. A hole in the container causes 7/8 gallon to leak out. How many gallons of water are l

Elina [12.6K]

Answer:the number of gallons of water left is 3.5

Step-by-step explanation:

The initial amount of water in the container is 4 3/8 gallons. Converting 4 3/8 gallons to improper fraction, it becomes 35/8 gallons of water.

A hole in the container causes 7/8 gallon to leak out. The number of gallons of water left in the container would be

Initial amount - amount that leaked. It becomes

35/8 - 7/8 = 28/8 = 3 4/8 = 3.5 gallons of water

8 0

3 years ago

The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x fa

Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

6 0

1 year ago