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3 years ago

Solve (6x + 5) - (x + 3)

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

5x+2

Step-by-step explanation:

6x-x=5x and 5-3=2

so 5x+2 is the answer.

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Solve for x. 78(−32−48x)+36=23(−33x−18)−10x Enter your answer in the box. x =

Nina [5.8K]

Answer:

x=-0.688

Step-by-step explanation:

-2496-3744x+36 = -759x-414-10x

-2460-3744x = -769x-414

-2975x = 2046

5 0

3 years ago

Which type of energy transformation occurs in photosynthesis?

Vadim26 [7]

Answer:

Light to chemical

Step-by-step explanation:

Photosynthesis is a transformation of light to chemical energy because energy from the sun is absorbed and then made into glucose for the plant.

3 0

3 years ago

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Which of the following pairs of functions are inverses of each other?

natta225 [31]

Answer:

The pair which are inverse of each other are:

Option: C

$f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}$

Step-by-step explanation:

Two functions f(x) and g(x) are said to be inverse of each other if:

fog(x)=gof(x)=x

i.e. the composition of two functions give identity no matter what the order is.

$f(x)=\dfrac{x}{12}+15$ and $g(x)=12x-15$

Now we calculate fog(x):

$fog(x)=f(g(x))\\\\fog(x)=f(12x-15)\\\\fog(x)=\dfrac{12x-15}{12}+15\\\\fog(x)=x-\dfrac{15}{12}+15\\\\fog(x)=x-\dfrac{55}{4}\neq x$

Hence, option: A is incorrect.

$f(x)=\dfrac{3}{x}-10\ and\ g(x)=\dfrac{x+10}{2}$

Now we calculate fog(x):

$fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+10}{3})\\\\fog(x)=\dfrac{3}{\dfrac{x+10}{3}}-10\\\\fog(x)=\dfrac{9}{x+10}-10\neq x$

Hence, option: B is incorrect.

$f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3$

Now we calculate fog(x):

$fog(x)=f(g(x))\\\\fog(x)=f(9-x^3)$

$fog(x)=9+\sqrt[3]{9-x^3}\neq x$

Hence, option: D is incorrect.

$f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}$

Now we calculate fog(x):

$fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+4}{11})$

$fog(x)=11\times (\dfrac{x+4}{11})-4\\\\fog(x)=x+4-4\\\\fog(x)=x$

Similarly,

$gof(x)=g(f(x))\\\\gof(x)=g(11x-4)\\\\gof(x)=\dfrac{11x-4+4}{11}\\\\gof(x)=\dfrac{11x}{11}\\\\gof(x)=x$

Hence, option: C is the correct option.

6 0

3 years ago

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If a is divided by 7 and has a remainder of 6, what is the remainder when 4a is divided by 7

puteri [66]

3 duh that’s so easy

5 0

4 years ago

What expression is equivalent to the expression given below?

zavuch27 [327]

Answer:

$-\frac{1}{2}y-\frac{11}{24}$

Step-by-step explanation:

$\frac{3}{8}\:-\:\frac{1}{2}y-\frac{5}{6}\\\\ =-\frac{1}{2}y+\frac{3}{8}-\frac{5}{6}\\\\ =-\frac{1}{2}y-\frac{11}{24}$

3 0

3 years ago

Read 2 more answers