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3 years ago

I need the answers for this question please

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

its triangle and 7.3 and 23.7 hope this helps

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Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

5 0

3 years ago

Find a • b. a = 5i + 7j, b = -4i + 3j

anygoal [31]

Answer:

$a \cdot b = 1$

Step-by-step explanation:

$a = 5i + 7j$

$b = -4i + 3j$

$a = a_xi + a_yj$

$b = b_xi + b_yj$

$a \cdot b = a_xb_x + a_yb_y$

$a \cdot b = (5)(-4) + (7)(3)$

$a \cdot b = -20 + 21$

$a \cdot b = 1$

4 0

3 years ago

Read 2 more answers

How do you algebraically solve for equilibrium using supply and demand equations?

sweet [91]

Answer:

How do you find the equilibrium price with a supply and demand function?

To determine the equilibrium price, do the following.

Set quantity demanded equal to quantity supplied:

Add 50P to both sides of the equation. You get.

Add 100 to both sides of the equation. You get.

Divide both sides of the equation by 200. You get P equals $2.00 per box. This is the equilibrium price.

6 0

3 years ago

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Which of the following represents the zeros of f(x)=3x^3-10x^2-81x 28? Answer choices: A.) 7, -4,1/3 B.) 7,-4, -1/3 C.) 7,4,1/3

11Alexandr11 [23.1K]

<span>The right function is f(x)=3x^3-10x^2-81x + 28

You can realize that 7 is a root because it is in all the answers.

So you can divide the polynomial by x - 7. If you do it you can find that the quotient is 3x^2 + 11x - 4

Now you can use the quadratic formula to find the other two roots.

If you do it, you will find they are x = 1/3 and x = -4.

So the answer is option A) 7, -4, 1/3

And the polynomial can be written as (x - 7)(x + 4) (x -1/3)
</span>

8 0

3 years ago

What is the slope of the line in the graph?

BabaBlast [244]

For every one unit to the right we go up one unit, i.e. rise/run = 1/1 = 1. That's a textbook slope of 1.

Answer: 1

4 0

4 years ago

Read 2 more answers