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3 years ago

-12 = 2 + 5y + 2y Can you me do the work

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

Answer:

-2 =y

Step-by-step explanation:

-12 = 2 + 5y + 2y

Combine like terms

-12 =2+7y

Subtract 2 from each side

-12-2 = 2+7y-2

-14 = 7y

Divide each side by 7

-14/7 = 7y/7

-2 =y

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What is the equation of the graph below? A graph shows a parabola that opens up with a vertex at negative three comma negative o

Tomtit [17]

Answer:

$y=(x+3)^2-1\\y=x^2+6x+8$

Step-by-step explanation:

Given:

Vertex of the parabola is, $(h,k)=(-3,-1)$

Equation of the parabola in vertex form is given as:

$y=(x-h)^2+k$

Plug in $h=-3,k=-1$ . This gives,

$y=(x-(-3))^2+(-1)\\y=(x+3)^2-1$

Therefore, the equation of the given graph is

$y=(x+3)^2-1\\y=x^2+6x+8$ .

5 0

3 years ago

What is the greatest number of cups that can be completely filled with water from the container

Elan Coil [88]

Answer:

Step-by-step explanation:

I have mathswatch work too do as well so its kinda annoying lol

so first we need to find the volume of the cuboid

36cm x 6cm x 23cm= 4968cm³

2/3x4968=3312cm³

3312/275=12.04

maximum amount of cups is 12

5 0

3 years ago

What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

Step 1: Define

$f(x) = \frac{1}{\sqrt{800-2x} }$

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

$u = 800-2x\\du = -2dx$

Step 3: Integrate

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

3 years ago

Hint: You won't flip the sign in every problem. ONLY FUP it when you or by a 9 - 2x < 6x - 15 Solutions You solve and graph t

svetoff [14.1K]

You only flip the inequality sign when you multiply or divide both sides by a negative number.

================================================

Problem 1

$3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4$

The inequality sign flip happens because we divided both sides by -8.

The graph will have a closed circle at 4 with shading to the left.

Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.

================================================

Problem 2

$1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}$

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.

Your choice of three solutions is correct. You can pick anything smaller than 4.3333

================================================

Problem 3

$9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3$

The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.

The graph has a closed circle at 3 on the number line. The shading is to the right.

8 0

3 years ago

What’s the answer !?

svetoff [14.1K]

Answer:

Step-by-step explanation:

16(³/⁴) =

= (2⁴)(³/⁴)

= 2⁴ˣ³/⁴

= 2³

= 8

5 0

3 years ago