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Reika [66]
4 years ago
8

Based on the graph, what are the approximate solutions to the equation −3x + 8 = (0.25)x?

Mathematics
1 answer:
storchak [24]4 years ago
6 0

Let

f(x)=3x+8

g(x)=0.25^{x}

in this problem

f(x)=g(x)

so

3x+8=0.25^{x}

using a graph tool

the solution is the intersection of both graphs

see the attached figure

the solutions are

x=-1.89

x=2.66

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1. Which are true of x = log10 31,500? Select all that apply.
ziro4ka [17]

Given:

x=\log_{10}31,500

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

x=\log_{10}31,500

It can be written as

x=\log_{10}(2^23^25^37)

x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)     [\because \log(ab)=\log a+\log b]

x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)

x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451

x=4.49835

Clearly, the value of x lies between 4 and 5. So, x>4 and x.

Therefore, the correct options are C and D.

4 0
3 years ago
How do I solve 6-2x=6x-10x+4
seropon [69]
<span>6-2x=6x-10x+4
6-2x=-4x+4
Add 4x to both sides: 6+2x=4
Subtract 6 from both sides" 2x = -2
divide 2 from both sides: x=-1</span>
6 0
4 years ago
Read 2 more answers
Você tem $ 20 para gastar com o táxi. A corrida custa $5 mais $2,50d 2,50 por quilômetro.
Aloiza [94]

Answer:

$5 + 2.50k ≤ $20

6 kilometers

Step-by-step explanation:

Puedes viajar con $15 porque gastaste 5 en la tarifa base. 15 dividido por 2,5 es 6, por lo que puedes viajar 6 kilómetros con $20.

5 0
2 years ago
In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x + 10, what is the measure of angle 2?
Mila [183]
<span>Subtract 55 from 180 total degrees of a triangle to get 125. Put 2x and x + 10 together... 3x + 10 = 125 Subtract 10 from both sides... 3x = 115 Divide by 3... x = 38.3333 Now to find the measure of angle 2... 38.333(2) = 76.66666 Don't know if that's a multiple choice question or not, but that's what I got</span>
7 0
3 years ago
Read 2 more answers
Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.
olga55 [171]

Answer:

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere up to two decimal places  =12.56 square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

                        \frac{4}{3}* \pi *r^3                                                         :\pi =\frac{22}{7} =3.14

               =\frac{4}{3}*3.14*1*1*1

               =4.187 cubic yards

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere= 4*\pi* r^2

                                           =4*3.14*1*1

Surface area of the sphere up to two decimal places  =12.56 square yards

8 0
4 years ago
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