MATHEMATICS HIGH SCHOOL

Solve 4(x - 3) - 2x - 1) > 0

Answers

Answer 1

Answer:

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer 2

Answer:

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

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X^2−1.78x, if x=2.78

Answers

Answer:

2.78

Step-by-step explanation:

We are given the expression $x^2-1.78x$

As we know that x=2.78, we can plug that value into the expression and simplify it

$(2.78)^2-1.78(2.78)\n\n7.7284-4.9484\n\n2.78$

Solve for the indicated variable.

s = p + g/h for g.

Answers

Answer:

g = h(s-p)

Step-by-step explanation:

find the variable of interest — It is in the numerator of one of two terms on the right side of the equation
subtract every term on that side not containing the variable — subtract p to get s-p = g/h
multiply by the inverse of the coefficient of the variable of interest — the coefficient is 1/h, so we multiply by h to get ... h(s-p) = g
rearrange to the desired form. Here, it is probably OK to leave the parentheses and to simply put g on the left

g = h(s -p)

Answer:

(s-p)*h =g

Step-by-step explanation:

s = p + g/h

Subtract p from each side

s-p = p=p + g/h

s-p = g/h

Multiply by h

(s-p) *h =g/h *h

(s-p)*h =g

An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. If you are booking both a DJ and a light show, write a compound inequality that represents the possible total amount you would pay, x.

Answers

219.00 + 159.00 = 378.00, the lowest cost of DJ & lights 369.00 + 309.00 = 678.00, the highest cost of DJ & lights This means the lowest cost would be $434.00, and the highest cost would be $678.00, which written as our compound inequality: $378.00 ≤ x ≤ $678.00 If we wanted to write it as an interval format, it would look like: [$378.00, $678.00] (We use brackets because it's less/greater than or equal to those amounts.)

Two of the three sides of a triangle are 20 and 15. Which of the following numbers is not a possible perimeter of the triangle?a. 52
b. 57
c. 62
d. 67 e.72

Answers

Given:
1st side = 15
2nd side = 20
3rd side = ?

We will use a triangle inequality where the 3rd side is greater than the difference of the two sides and less than the sum of the two sides.

20 - 15 < x < 20 + 15
5 < x < 35

If x = 5 ; then the perimeter would be 5 + 15 + 20 = 40
if x = 35, then the perimeter would be 35 + 15 + 20 = 70

So the perimeter is within the range of 40 and 70.

Among the choices, E. 72 is outside the range. Therefore, it is not a possible perimeter of the triangle.

Solve y = 2xz2 - xy for x