What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

Answers

Answer 1

Answer: U substitution uses the variable "u" as a replacement for another variable. In this case, we will substitute in u for x^2. Since u=x^2 we can now rewrite the equation. 9u^2 -2u -7. This is factored to (u-1)(9u+7). Now put x^2 back in for u. (x^2 -1)(9x^2 +7). Factor again. (x-1)(x+1)(9x^2 + 7). Since 9x^2 + 7 doesn't factor, we don't bother with it any more.The answer is x=1 or x=-1.

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Answers

You need to know how to calculate the volume of a cylinder and how to calculate the volume of a cone. We know that the two things have the same height and they also have the same area for their base.

Let's say that the area of the base is x.

The volume of the cylinder = x * 30 (area of the base multiplied with the height)

The volume of the cone = x/3 * 30 (1/3 multiplied with the area of the base and the height)

This means that the cone has one third of the volume of the cylinder's. Therefore if I pour water from a full cone, I can fill the cylinder only to the third of its volume, and in this case, height. So the answer is 10 cm.

A diver is swimming at an elevation of -40 feet relative to sea level. The sea floor is 2 3/4 times deeper than the diver: What is the elevation of the sea floor relative to sea level?

Answers

Answer:

-110 feet

Step-by-step explanation:

the elevation of the sea floor relative to sea level can be found by muktiplying the divers elevation by the given factor

to calculage the elevation of the sea floor, we first need to find the elebation of the diber relativeto sea level. Given that the diver's elevation is -40 feet, we can use this as our starting point.

to find the elevation of the sea floor level, we multiply the divers elevation ny 1 3/4. Let's convert 2 3/4 to make an improper fraction to make the calculation easier

2 3/4 is equivalent to (2*4+3) / 4= 11

-40* 11/4 = 440/4 = -110 feet.

therefore the elevation of the sea level is -110 feet

A row of plaques covers 120 square feet of space along a wall. If the plaques are 3 feet tall, what length of the wall do they cover?

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a foot =12inches so 12×3=36.then 120×12=1,440

flflflflfStep-by-step explanation:

Slopes of parallel line are A.reciprocal
B.opposite reciprocals
C. Identical
D.opposites

Answers

Answer:

the slopes of parallel lines are : C. identifical

Answer:

the solution is C. identical

Step-by-step explanation:

slope of parallel lines are the same

Can anybody help me with this problem ? (_11^)P_7

Answers

₁₁P₇ = $(11!)/((11 - 7)!)$
₁₁P₇ = $(11!)/(4!)$
₁₁P₇ = $(11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(4 * 3 * 2 * 1)$
₁₁P₇ = 11 × 10 × 9 × 8 × 7 × 6 × 5
₁₁P₇ = 110 × 72 × 42 × 5
₁₁P₇ = 7920 × 210
₁₁P₇ = 1,663,200

Alexis washes 10 1/2 windows in 3/4 hour. At this rate, how many windows can she wash in an hour ?

Answers

Find 'per hour' here based on the above information.

10 1/2 divided by 3/4

10.5 ÷ 0.75 = 14

14 windows can be washed in one hour is the answer.

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