Solve each equation for x over the set of real numbers.

3x+5/(x-1)(x^4+7)

Answers

Answer 1

Answer: $3x+5/(x-1)(x^4+7)$

$3x+5(x^4+7)/x-1$

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Consider the following system of equations: y = 5x + 6
y = −x − 7

Which description best describes the solution to the system of equations?

Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answers

it says
which best describes the SOLUTION to the system of equations
the solution is the set of points that satisfies both equations, it is also the intersection

therfor the answer is the first option "Line y = 5x + 6 intersects line y = −x − 7."

Answer:

Line y = 5x + 6 intersects line y = −x − 7.

Step-by-step explanation:

Both Lines intersect both the x and the y axis.
y = 5x + 6

y = −x − 7
Hope this Helps! :)))

Let h = 3.

What is the value of (27 ÷ h) · 5?

Answers

27 ÷ 3 = 9
9 • 5 = 45

the answer would be 45 because 27/3=9 and 9*5=45

Amir owns and operates a clothing store. He sells a shirt for $59.95. He Originally bought the shirt for $40.50. What is the buying price as a percent of his selling price?

Answers

Answer:

32.45%

Step-by-step explanation:

To find the buying price as a percent of the selling price, we need to calculate the profit margin as a decimal first:

Profit margin = Selling price - Buying price

Profit margin = $59.95 - $40.50

Profit margin = $19.45

Now we can find the percent by dividing the profit margin by the selling price and multiplying by 100:

Percent = (Profit margin ÷ Selling price) x 100

Percent = ($19.45 / $59.95) x 100

Percent = 32.45%

Therefore, the buying price is 32.45% of the selling price.

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?

Answers

what we can do is set up an algebraic equation.

our variable can me L for Length

3L+4L+5L=90

now all we have to do is solve

12L=90
---- ----
12 12

L=7.5

now multiple each number in the ratio by 7.5 to find out how long each side is

3 times 7.5 is 22.5
4 times 7.5 is 30
5 times 7.5 is 37.5

the side lengths are 22.5, 30, and 37.5

Solve for X
3ax/5 - 4c = ax/5

Answers

$\frac { 3ax }{ 5 } -4c=\frac { ax }{ 5 }$
First multiply both sides by 5:
$5\cdot (\frac { 3ax }{ 5 } -4c)=5\cdot \frac { ax }{ 5 } \n 3ax-20c=ax$
then take the ax to the other side :
$3ax-20-ax=0$ and simplify:
$2ax-20c=0$ factor:
$2(ax-10c)=0\n ax-10c=0\n ax=10c\n x=\frac { 10c }{ a }$

A card is drawn from a standard deck of 52 playing cards. find the probability that the card is a queen or a club. express the probability as a simplified fraction.