MATHEMATICS HIGH SCHOOL

Solve for the indicated variable X/y=x-8 for x

Answers

Answer 1

Answer:

Answer:

Therefore, the solution for x in terms of X and y is:

x = (X + 8y) / y

Step-by-step explanation:

To solve for x in the equation X/y = x - 8, we need to isolate x on one side of the equation.

Step 1: Multiply both sides of the equation by y to eliminate the denominator on the left side:

X/y * y = (x - 8) * y

Simplifying, we have:

X = xy - 8y

Step 2: Add 8y to both sides of the equation to isolate the term with x:

X + 8y = xy

Step 3: Rearrange the terms to have x on one side:

xy = X + 8y

Step 4: Divide both sides of the equation by y to solve for x:

x = (X + 8y) / y

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A certain radioactive isotope has a half-life of 15 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Answers

A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
t: m:
0 32 g
15 16 g
30 8 g
45 4 g
60 2 g
75 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )

If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.

Answers

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

$(5+2√(3) )/(7+4√(3) )$

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4 $√(3)$ is 7 - 4 $√(3)$

= $((5+2√(3))(7-4√(3)) )/((7+4√(3))(7-4√(3) )$ ← expand numerator/ denominator using FOIL

= $(35-20√(3)+14√(3)-24 )/(49-28√(3)+28√(3)-48 )$

= $(11-6√(3) )/(1)$

= 11 - 6 $√(3)$

with a = 11 and b = 6

What is the sum? 10/19+3/19

Answers

10/19=0.53
3/19=0.16
0.53+0.69=0.69

Find the common difference for the sequence shown. 56, 49, 42, 35, ...
a. -12 b .-7
c. 7

Answers

Answer:

Common difference is -7.

Step-by-step explanation:

Given : sequence 56, 49, 42, 35, ...

To find : Find the common difference.

Solution : We have given that 56, 49, 42, 35, ...

By the common difference of an arithmetic sequence is:

d = $a_(2) -a_(1)$

Where, $a_(1)$ is the first term and $a_(1)$ is the second term.

Then common difference = 49 -56

= -7 .

Therefore,b) common difference is -7.

b. -7
This will be common difference of this sequence
it is such an easiest question

Mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Round off your answers to the nearest half-dollar.

Answers

Twenty two and a half dollars

119 the exact answer is 119.3 though

A ball is thrown down from a balcony with a vertical velocity (in ft/s) given by V(t)= –32t – 10. Chose the inequality that represents the time for which the velocity of the ball will be between –90 and –58 ft/s

Answers

If the ball is thrown downward, it has a negative velocity due to the direction is traveling. By just looking at the magnitude of the velocity 90 is greater than 58, the negative sign only represents that it is moving downwards. So the correct answer is choice 2

Inequalities are used to represent unequal expressions or numbers.

The inequality that represents the time for which the velocity of the ball will be between -90 and -58 ft/s is: $-90 < -32t - 10< -58$