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3 years ago

What is 2/9 + 2/3 and simplify if can

Mathematics

2 answers:

ratelena [41]3 years ago

7 0

2/9 + 2/3

2*3=6

3*3=9

2/9 + 6/9 = 8/9

vova2212 [387]3 years ago

4 0

2/9+2/3=2/9+6/9=8/9

8/9

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Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4

kumpel [21]

Answer:

Choices given as $2^{16}, 4^8$ and $16^4$ are correct.

Step-by-step explanation:

Given expression is,

$(4^5)(4^3)$

By applying law of exponents in the given expression,

$(4^5)(4^3)=4^{5+3}$

$=4^8$

$(4^5)(4^3)=(2^2)^5(2^2)^3$

$=(2^{2\times 5})(2^{2\times 3})$

$=2^{10}\times 2^6$

$=2^{16}$

$=(2^4)^4$

$=(16)^4$

Therefore, choices given as $2^{16}, 4^8$ and $16^4$ are correct.

4 0

2 years ago

Write the equation of the line that passes through the points ( – 3, 2) and ( - 1,6).

bekas [8.4K]

Answer:

the answer is y=2x+8

Step-by-step explanation:

6 0

2 years ago

If you can solve it.Thanks in advance

vivado [14]

Answer:

$f(g(x))=\frac{1}{(x^{2}+1)^{2}} +\sqrt[3]{x^{2}+1}$

Step-by-step explanation:

we have

$f(x)=x^{2} +\frac{1}{\sqrt[3]{x}}$

$g(x)=\frac{1}{x^{2}+1}$

we know that

In the function

$f(g(x))$

The variable of the function f is now the function g(x)

substitute

$f(g(x))=(\frac{1}{x^{2}+1})^{2} +\frac{1}{\sqrt[3]{(\frac{1}{x^{2}+1})}}$

$f(g(x))=\frac{1}{(x^{2}+1)^{2}} +\sqrt[3]{x^{2}+1}$

4 0

2 years ago

Please help me out! It’s urgent!

LuckyWell [14K]

Answer:

8 square units

Step-by-step explanation:

Area of the shaded shape = sum of shaded squares × 1 square unit

= 8 × 1 = 8 square units

6 0

1 year ago

A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line

Andre45 [30]

Answer:

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

Step-by-step explanation:

The slope intercept form of a line is given by:

$y=mx+b$

We are given

Slope = m = 3/2

Point = (10,9)

Putting the value of the slope in the equation we get

$y = \frac{3}{2}x+b$

b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.

Putting (10,9) in the equation

$9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6$

Putting b=-6 in the equation

$y = \frac{3}{2}x-6$

Hence,

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

5 0

2 years ago