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3 years ago

What is (x - 4) + (x + 9) + ( 2x) + (3x -7) + 4

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

Answer: 5x+(2x)+2
Explanation

cricket20 [7]3 years ago

5 0

Answer:

7x+2

Step-by-step explanation:

Add x+x+2x+3x to get 7 xs or 7x. Then add -4+9-7+4 to get 2. Put 7x and 2 together to get 7x+2.

Hope it helps!

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:) Simplify 2^4 x 2^6 / 2^5

Sladkaya [172]

Answer:

2^5

Step-by-step explanation:

2^4 × 2^6 ÷ 2^5

= 2^10 ÷ 2^5

=2^5

8 0

3 years ago

Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

4 years ago

Find exact value for cos(pi/16)

stellarik [79]

The exact value for cos(pi/16) would be :

cos (pi/16) = +/- √1+cosa/2

cos (pi/4) = sqrt2/2

Hope this helps

6 0

3 years ago

What is the equation for the line?

Irina-Kira [14]

In order to find the equation of a line, you would have to use the equation y=mx+b.

First, find the slope: $\frac{y_{2}- y_{1} }{x_{2} x_{1} }$
There is (1,8) and (2, 16) so plug that in 16-8/2-1 = 8. That's your slope! (Or the m)

Next in order to find b, you have to plug in a point:
y=8x+b
Take (1,8) and plug it in for x and y:
8=8(1)+b
b=0
Your y intercept is 0 (which you can also see on the graph)

So your answer is: y=8x

7 0

3 years ago

1which relation is a real function ?

Gre4nikov [31]

Hello,

A and C are functions.
=================

4 0

3 years ago

What is (x - 4) + (x + 9) + ( 2x) + (3x -7) + 4​

What is (x - 4) + (x + 9) + ( 2x) + (3x -7) + 4