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LiRa [457]
3 years ago
13

Logx(8x-3)-logx 4=2 please help ill give you everything i have !!

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2

2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2

Answer: Two solutions: x=1/2 and x=3/2
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Slope of line a is ½. What is the equation of a line that is parallel to line a? Y+½x=2 -2x+y+2=0 2x-2=y -½x+y-2=0
sasho [114]

Answer:

The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

Step-by-step explanation:

A line is a polynomial function of the first degree that has the following form:

y = m * x + b

where m is the slope of the line and b is the intercept with the Y axis.  The slope is the inclination of the line with respect to the abscissa axis.

In this case you know that the slope of line a is ½.  

Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.

You have:

  • y+½x=2       →       y= -½x +2
  • -2x+y+2=0       →       y=2x -2
  • 2x-2=y      
  • -½x+y-2=0       →       y=½x + 2

The line that has the same slope as line a is the last one, so <u><em>the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0</em></u>

6 0
2 years ago
If the temperature is 30°C, what is it in Fahrenheit?
julia-pushkina [17]

Answer:

86.0 degrees fahrenheit

6 0
2 years ago
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Maria Invests $600 in a bank account that earns simple interest. She earns $30 at the end of 12 months . Janae invest $350 at th
lord [1]

Answer:

Interest = $1.75

Step-by-step explanation:

Maria invest $600, and receives interest of $30 per year

We know that PRT/100= INTEREST

R=( 100*INTEREST)/(PT)

R = (100*30)/(600*1)

R= 3000/600

R= 5%

Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest

Interest= 350*5*1/100

Interest = $1.75

7 0
3 years ago
Pweaseee help!!!!!!!!!!!!!​
juin [17]

Answer:

Andre.

Step-by-step explanation:

Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.

Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.

Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.

Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.

Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.

Hence, only Andre gives the correct expression. (Answer)

5 0
3 years ago
If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? *
OleMash [197]

Answer:

25

Step-by-step explanation:

15/6.0=2.5

2.5x4=10

2.5x6=15

10+15=25

10 boys and 15 girls

6 0
2 years ago
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