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Lynna [10]
3 years ago
14

20 points

Mathematics
1 answer:
Elodia [21]3 years ago
3 0
<h2>Answer:</h2>

A one solution because it's x=1

<h3>Step By Step explanation:</h3>

this is the original problem

8x-3=3x+2

we want to have x by itself so. . .

we add three on both sides. it cancels -3. And 2+3=5

8x=3x+5

we subtract 3x on both sides so 8x-3x=5x and 3x cancels on the other side

5x=5

we divide by 5 on both sides to get x by itself

x=1

if it was 1=1 or x=x (the same on both side) it would've been infinite solutions. if the numbers didn't match like 4=6 it would've been no solution

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The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
4 years ago
If (x) = 3x - 2 and g(x) = 2x + 1, find (f+g)(x).<br> A. X-1<br> B. X-3<br> C. 5x-3<br> D. 5x-1
____ [38]

Answer:

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

Answer is C

3 0
3 years ago
Name this figure.
vitfil [10]

Answer:

The figure is a Rhombus.

Step-by-step explanation:

Cause well it looks like a Diamond pretty much. Hope this helps.

3 0
3 years ago
Read 2 more answers
Select the quadratic that has roots x = 8 and x = -5.
Mars2501 [29]

\text{ The roots  are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}

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2 years ago
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kozerog [31]
So to find the width (w)
26=2(7+w). W=6
8 0
3 years ago
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