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2 years ago

Which expression is equivalent to logw((x^2-6)^4/(cube root x^2+8))

Mathematics

2 answers:

Arturiano [62]2 years ago

5 0

Answer: The expression is in the explanation.

Step-by-step explanation:

Please find the attached file for the solution.

mestny [16]2 years ago

4 0

Answer:

Step-by-step explanation:

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Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

$f(x) = x^2 + x - 9$

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0) and (2.5, 0)

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0

2 years ago

Read 2 more answers

Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974

Tcecarenko [31]

The interest means the amount that adds up to your previous capital that you invest in the past. If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased, not decreased.

7 0

2 years ago

A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides.

BlackZzzverrR [31]

Answer:

Part a) The exterior surface area is equal to $160\ ft^{2}$

Part b) The volume is equal to $240\ ft^{3}$

Part c) The volume water left in the trough will be $84\ ft^{3}$

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

Find the area of two rectangles

$A=2[12*5]=120\ ft^{2}$

Find the area of two trapezoids

$A=2[\frac{1}{2}(8+2)h]$

Applying Pythagoras theorem calculate the height h

$h^{2}=5^{2}-3^{2}$

$h^{2}=16$

$h=4\ ft$

substitute the value of h to find the area

$A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}$

The exterior surface area is equal to

$120\ ft^{2}+40\ ft^{2}=160\ ft^{2}$

Part b) Find the volume

We know that

The volume is equal to

$V=BL$

where

B is the area of the trapezoidal face

L is the length of the trough

we have

$B=20\ ft^{2}$

$L=12\ ft$

substitute

$V=20(12)=240\ ft^{3}$

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

$A=\frac{1}{2}(5+2)(2)=7\ ft^{2}$

step 2

Find the volume

The volume is equal to

$V=BL$

where

B is the area of the trapezoidal face

L is the length of the trough

we have

$B=7\ ft^{2}$

$L=12\ ft$

substitute

$V=7(12)=84\ ft^{3}$

4 0

2 years ago

Marie spends $450.00 at a department store. She has two coupons: one for a 15% discount and one for $50 off any purchase above $

VMariaS [17]

Answer:

Her first coupon ti be used is $50 off a purchase above $300

Final purchase price= $340

Step-by-step explanation:

Marie has two coupons

one for a 15% discount and one for $50 off any purchase above $300.

The stores allow the two coupons to be combined and she spends a total of $450.

Her first coupon ti be used is $50 off a purchase above $300.

So Marie have $400 now

15% off $400= 400-(0.15*400)

15% off $400 = 400-60

15% off $400 =$ 340

6 0

2 years ago

Read 2 more answers

Plot the function y(x)=e–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this functio

Flauer [41]

Answer:

The plot is attached.

Step-by-step explanation:

Plot the function y(x)=e^–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this function.

The step value for x is (10-0)/100=0.1.

Plot the function y(x)=e–0.5x cos(2x) on the same axes. Use a 3-point-wide dashed red line for this function.

The step value for x is the same as the previous function.

The plot is attached.

3 0

2 years ago

Read 2 more answers