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3 years ago

2 math questions. Please show your work if you can, I struggle with this, Thanks !! 20pts

Mathematics

1 answer:

castortr0y [4]3 years ago

5 0

Step-by-step explanation:

To find the solution, Tanisha can graph each side of the equation as its own function:

y₁ = log₃(5x)

y₂ = log₅(2x + 8)

The solution is where the two curves cross. From the graph, that happens at x ≈ 0.957.

desmos.com/calculator/lkukjhn3g2

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Find the volume of this figure.

Bogdan [553]

Answer:

The volume of the figure is $320\ units^{3}$

Step-by-step explanation:

we know that

The figure is a pyramid

The volume of a pyramid is equal to

$V=(1/3)BH$

where

B is the area of the rectangular base of pyramid

H is the height of pyramid

Find the area of the base B

The area of the base B is equal to

$B=AB*AC$

we have that

$AB=8\ units$ ---> see the graph

$AC=10\ units$ ---> see the graph

substitute

$B=8*10=80\ units^{2}$

we have

$H=EF=12\ units$ ---> see the graph

Find the volume

$V=(1/3)(80*12)=320\ units^{3}$

4 0

3 years ago

Solve this inequality for x. -46-8x>22

andreyandreev [35.5K]

Answer:

x < -8.5

Step-by-step explanation:

$-46-8x>22$

add 46 to both sides

$-8x >68$

divide both sides by -8

$x < -8.5$

7 0

3 years ago

For the function f defined by f(x)=5x−12 find f(−x),−f(x), and −f(−x).

Slav-nsk [51]

$f(x) = 5x-12$

$f(-x) = 5(-x)-12 = -5x-12$

$-f(x) = -(5x-12) = -5x+12$

$-f(-x) = -(5(-x)-12) = -(-5x-12) = 5x+12$

This is probably asking you to consider the symmetry of f(x). If f(x) is equal to f(-x), then f is symmetric about the origin. If f(x) is equal to -f(x), then f is symmetric about the y-axis.

3 0

3 years ago

Find the 53rd term of the arithmetic sequence -12, -1, 10

RSB [31]

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

5 0

3 years ago

Read 2 more answers

Solve for r. - 8x + 14 > 60 OR - 4r + 50 < 58 Choose 1 answer:

hodyreva [135]

R would equal 2 i think

6 0

3 years ago