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2 years ago

If f (x)=0.2(6-x), what is the value of f(-4)?

Mathematics

1 answer:

nikitadnepr [17]2 years ago

3 0

The answer should be 2.

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Make t the subject of the formula in D=k/f(b+t)

PilotLPTM [1.2K]

Answer:

(k/Df)-b = t

t=(k/Df)-b

Step-by-step explanation:

D = k/f(b+t)

k/D = f(b+t)

k/Df = b+t

(k/Df)-b = t

6 0

2 years ago

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

2 years ago

Principal Leroy Jenkins wants to build a circular garden in the school courtyard. The garden will have a diameter of 20 feet. Pr

Dovator [93]

Answer:

62.8ft

Step-by-step explanation:

we are to determine the circumference of the garden

circumference = πD

= 3.14 x 20 = 62.8 ft

8 0

2 years ago

Write an equasion of the line in point-slope form that passes through the points (-16, 8) (4,2)

xeze [42]

You start by finding the slope : y2 - y1 / x2 - x1

2 - 8 / 4 - (-16)

- 6 / 20

m = - 3 / 10

Point slope form : y - y1 = m( x- x1 )

You can pick either of the coordinates and substitute them in

POINT SLOPE FORM EQUATION : y - 8 = -3/10 ( x + 16 )

5 0

2 years ago

PLEASE HELP I NEED HELP WITH THIS ASAP. PLEASE show work, thank you. Will give branliest

d1i1m1o1n [39]

If the slope is 5 perpendicular would be -1/5 just flip the slope around

3 0

3 years ago