What rule should you use? help ​

Answer:

[tex]x^2-10x+8=0[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]

Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]

Given:

[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]

The least common denominator of the two fractions on the left side of the equation is x(x - 2).

Thus:

[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]

[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]

[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]

Learn more about least common denominator on:

https://brainly.com/question/542317

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

Answer:

The answer is A choice.

Explanation:

By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.

Thus, the domain is at the left end side to the right end side.

The domain stops at -5 on the left side and 5 on the right side. Thus the answer is

-5 < x < 5.

The A choice.

Understanding

The domain of a function is basically all the values where x is defined, and by defined, it means it has a y value corresponding to it. In this graph, x is defined from -5 to 5. If you look outside this range of numbers (from -5 to 5 on the x-axis) you will not find any y values for them. We can easily say the solution is A.

Solution:

[A] [tex]-5<x<5[/tex]

Note: From what I see from the picture -5 and 5 are included in the domain, either the question is incorrectly written, or the picture isn't clear enough. If so, the answer should be [tex]-5\leq x\leq 5[/tex].

Answer:

6

Step-by-step explanation:

What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left

Answer:

search it up

Step-by-step explanation:

Answer:

yup!

Step-by-step explanation:

Answer:

Yes absolutely! *gives thumbs up*

Answer:

the probability is 5/12  or 0.416 or 41%

Step-by-step explanation:

Hope I helped!

Use a similar strategy as in your other question, [19925664].

3x² + 4x + 12 = 3 (x - r ) (x - s)

3x² + 4x + 12 = 3 (x² - (r + s) x + rs)

3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs

so that

r + s = -4/3

rs = 12/3 = 4

Recall that

(r + s)² = r² + 2rs + s²

so that

r² + s² = -2rs = -2(4) = -8

Answer:

3 no solution

Step-by-step explanation:

I'm a smart man I would know trust me

I have my masters degree

Answer:

1. -13x9= -117 Negative

2. 4x14= 65 Positive

3. -6x(-31)= 186 Positive

4. -18x(54)= 4374 Positive

5. 55x7= 385 Positive

Step-by-step explanation:

Answer and Explanation:

Given the function:

ℎ(t)= −16t+5t+250

Where the variable t is measured in seconds. We can plug in t=20 seconds in the function to measure the height in feet of the bungee jumper after 20 seconds.

h(t)= -16×20+5×20+250

h(t)= -320+100+250

h(t)=350-320

h(t)= 30feet

height in feet of the bungee jumper after 20 seconds = 30 feet

Answer:

The answer is below

Step-by-step explanation:

A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Solution:

The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:

V'(x) = 0

V(x) = x(1500 - x) = length * breadth.

This means the enclosure has a length of x and a width of 1500 - x

Given that:

v(x)=1500x-x². Hence:

V'(x) = 1500 -2x

V'(x) = 0

1500 -2x = 0

2x = 1500

x = 1500 / 2

x = 750 feet

The maximum area = 1500(750) - 750² = 562500

The maximum area = 562500 feet²

Answer:

562500 feet²

Step-by-step explanation:

Answer:

The sum of a number and ten

A number plus ten

Ten more than a number

Step-by-step explanation:

edg

Answer:

someone plz help this person

Answer:

a) [tex]y=\frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]y=4 \sqrt{x}+3[/tex]

c) [tex]y=\sqrt{2x}-6[/tex]

Step-by-step explanation:

Part a is the green curve

Part b is the purple curve

Part c is the red curve

The black curve is the equation of the graph [tex]y=\sqrt{x}[/tex]

just for reference

Answer:

The Mean Decreases.

Step-by-step explanation:

Answer:

the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to  Jackson then yeah Cindy

Answer:

92.93378 kg

Step-by-step explanation:

Given that:

Volume of Batch = 93 L

= 93 × 1000     (since 1 L = 1000 mL)

= 93000 mL  

Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]

where;

density of water = 1 g/ml

specific gravity = 1.01 g/mL

Density of solution = (1.01 × 1) g/mL

Density of solution = 1.01 g/mL

[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]

mass of batch = 1..01 g/mL × 93000 mL

mass of batch = 93930 g

Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)

= 93930 g - 196.42 g - 799.8 g

= 92933.78  g

Since 1kg = 1000 g

The weight of the water to be added to the QS solution is:

[tex]=\dfrac{92933.78}{1000}[/tex]

= 92.93378 kg

Answer:

30

Step-by-step explanation:

3 multiply 5 =15

so:

6 multiply 5=30

Answer: $280

Step-by-step explanation:

92.5-36.5 = 56

56x 10 = 560

1/2 x 560 = 280

Benny spent $280 to go to summer camp.

I hope this helps :)

Answer : 2.142L

Step-by-step explanation:

51/100 × 4.2

=51/100 × 42/10

= 2142/1000

= 2.142L

Answer:

Step-by-step explanation:

Total Volume = 4.2L = 4200 ml

Amount Drunk = 51%

How much did Johan drink = 51% of 4200 ml

[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]

2142 ml = 2.142 L

Answer:

*3rd option*

y intercept (0, 2)

x intercept (-1/2 , 0)

Step-by-step explanation:

First, rearrange the equation so y is on one side, the rest of the terms on the other.

y+2 = 4x + 4

y = 4x+2

The y intercept is 2 because x=0, y = 2

rearrange where x is on one side

4x = -y + 2

x = -1/4y - 1/2

The x intercept is -1/2 because when y=0, x=-1/2

please give thanks :)

and brainliest :)

hope this helps

Answer:

scamming outta points

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Hoped I helped! Im Eve btw Hope you have a great day and consider marking this brainliest

Answer:

A B C D

Step-by-step explanation:

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

6x + 5 = 23

Step 2: Solve for x

Answer:

Answer:

-2w² + -16w

Step-by-step explanation:

-2w(w+8)

Multiply each term by -2w

(-2w * w) + (-2w * 8)

-2w² + -16w

Answer:

-2[tex]w^2[/tex] - 16w

Step-by-step explanation:

multiply w and 8 by -2w.

when you multiply w by 2w, you get -2[tex]w^2[/tex] and 8 times -2w = -16w

-2[tex]w^2[/tex] - 16w

Step-by-step explanation:

The equation of the line is y = -1.5x + 3.