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NISA [10]
3 years ago
10

1.5 more than the quotient of a and 4 is b.

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

Answer:

(a / 4) + 1.5 = b

Step-by-step explanation:

1.5 + (a / 4) = b

Arrange:

(a / 4) + 1.5 = b

Final Answer:

(a / 4) + 1.5 = b

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Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.​
zlopas [31]

Answer:

x = 1

Explanation:

\sf \rightarrow log(3x) + log(x + 4) = log(15)

Rule: log(a) + log(b) = log(ab)

\sf \rightarrow log(3x(x + 4)) =  log(15)

cancel out log on both sides

\sf \rightarrow 3x(x + 4) = 15

relocate constant variable

\sf \rightarrow 3x^2 + 12x -15 = 0

take 3 as a common factor

\sf \rightarrow 3(x^2 + 4x -5) = 0

divide both sides by 3

\sf \rightarrow x^2 + 4x -5 = 0

middle term split

\sf \rightarrow x^2 + 5x -x-5 = 0

factor common terms

\sf \rightarrow x(x  + 5) -1(x+5)= 0

collect into groups

\sf \rightarrow (x-1)(x+5)= 0

set to zero

\sf \rightarrow x-1 = 0 , \ x+5= 0

relocate variables

\sf \rightarrow x = 1,  \ x = -5

There must be a positive solution for log, so the solution is only x = 1

3 0
2 years ago
Read 2 more answers
Planes S and R both intersect plane T .
neonofarm [45]
<h2>[A] Plane S contains points B and E.</h2>

False

As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.

<h2>[B] The line containing points A and B lies entirely in plane T.</h2>

True

As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.

<h2>[C] Line v intersects lines x and y at the same point.</h2>

False

As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.

<h2>[D] Line z intersects plane S at point C.</h2>

True

As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.

<h2>[E]  Planes R and T intersect at line y.</h2>

True

As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.

7 0
3 years ago
Read 2 more answers
Enter the degree form for 3π/4 radians in the box.
Paraphin [41]

Answer:

135 degrees

Step-by-step explanation:

2π radians is the central angle of a full circle, so 2π radians is 360 degrees.

That means that π radians = 180 degrees.

3π/4 radians * (180 degrees)/(π radians) = 135 degrees

3 0
3 years ago
Standard notation for number 761,015,700
Tems11 [23]
761015700
761015700 x 1012

or

761,015,700,000,000,049,152
6 0
3 years ago
Taylor has $97.23 and her checking account she uses debit card to spend 29 .74 and then deposits 118.08 into her accounts what i
kotykmax [81]
Taylor’s new balance is $185.57.

Simply solve this by subtracting $29.74 from $97.23. After getting the difference, add $118.08.
8 0
3 years ago
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