Graph the line with slope 7 and y-intercept -7

Answer:

Step-by-step explanation:

Given that :

x = 5-2√6

1/x = 1/(5-2√6)

The denominator = 5-2√6

The Rationalising factor of 5-2√6 = 5+2√6

On Rationalising the denominator then

⇛ 1/x = [1/(5-2√6)]×[(5+2√6)/5+2√6)]

⇛ 1/x = (5+2√6)/[5-2√6)(5+2√6)]

⇛ 1/x = (5+2√6)/[5²-(2√6)²]

Since (a+b)(a-b) = a²-b²

Where ,

⇛1/x = (5+2√6)/(25-24)

⇛ 1/x = (5+2√6)/1

⇛ 1/x = 5+2√6

Now,

x +(1/x)

⇛ 5-2√6+5+2√6

⇛ 5+5

⇛ 10

Therefore, x+(1/x) = 10.

On squaring both sides then

⇛ [x+(1/x)]² = 10²

⇛ x²+2(x)(1/x)+(1/x)² =100

⇛ x²+2+(1/x)² = 100

⇛ x²+(1/x²) = 100-2

⇛ x²+(1/x²) = 98

Therefore, x²+(1/x²) = 98.

Read more:

Similar questions;

Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = 1/2 (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1.....

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[tex]\\ \sf\longmapsto \dfrac{9}{24}=\dfrac{3}{x}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{8}=\dfrac{3}{x}[/tex]

[tex]\\ \sf\longmapsto 3x=24[/tex]

[tex]\\ \sf\longmapsto x=24/3[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

Answer:

is it 24 N?

as we know ....

force=mass * acceleration

force=4kg*6m/s2

hence force is 24N

The required Force = 24 N

The push or pull on an object with mass causes it to change its velocity.

Given that a body of 4 kg mass is accelerated at 6 m/s²

Force = ma

where m = mass and a = acceleration

F = 6*4 = 24 N

Hence, the Force required = 24 N

For more references on Force, click;

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#SPJ2

Answer:

13/12=37

Step-by-step explanation:

Answer:

18hx16money=288 dollars

Step-by-step explanation:

to ez and np

Answer:

32 hours a week

Step-by-step explanation:

First you have to find out how much Jeanette makes. You can do this by multiplying 16 x 18 since she makes $16 18 times a week. This gives you $288 that she makes each week.

Now to find how much Logan would have to work you take 288 and divide it by 9. You do this because you need to see how many times 9 goes into 288 to give you the amount of hours. When you divide you get 32.

Answer:

Step-by-step explanation:

1)    a = x - 5

a)   z = y + 5

b)  z = y - 3

c)   z = 6y

d)  z = 6y - 2

e) z = 3y + 5

Answer:

Option A

Step-by-step explanation:

-(12 x 2) x (-6) = -12 x (2 x b)

=> -24 x -6 = -12 x 2b

=> 144 = -24b

=> b = -6

Hoped this helped.

Answer:

Body surface area is calculated a) in m2 from weight and height.

Step-by-step explanation:

Basically the surface has to be in m2, because you have two dimensions when you multiply: e.g. when you have a lawn 10m x 10m, then you multiply 10 times 10, and meters times meters, so

[tex]10m * 10m = 100m^2[/tex]

Answer:

Step-by-step explanation:

A board foot is 1 inch thick by 1 ft by 1 ft

(3) 1 x 6  8'  are already 1 inch thick ½ ft wide and 8 ft long

  3 x 1 x (6/12) x 8 = 12 board ft.

(6) 2" x 10" x 12'  are 2 thick x 10/12 ft wide by 12 ft long

  6 x 2 x (10/12) x 12 = 120 board ft.

(6)  1" x 8" x 10'

  6 x 1 x (8/12) x 10 = 40 board ft

12 + 120 + 40 = 172 board ft

Answer:

64

Step-by-step explanation:

4% of 40,000= 1,600

4% of 1600= 64

Answer:

64

Step-by-step explanation:

4% = 4/100=0.04

[tex](\frac{4}{100} )(\frac{4}{100} )(40000)=(0.04)(0.04)(40000)=64[/tex]

Hope this helps

Answer:

3.9

Step-by-step explanation:

16.9 take away 13 and you get 3.9 kilograms

Answer:

1/15

Step-by-step explanation:

Thats my guess I think its that though.

Answer: 3

Step-by-step explanation:

PEMDAS

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

Answer:

Step-by-step explanation:

Revenue share of Dept. 1:

Revenue share of Dept. 2:

Allocate the indirect salary with same ratio.

Dept. 1:

Dept. 2:

Answer:

Answer for question 16 $24.64

Answer:

$3.36

17. 31%

18 $ 24.50

Step-by-step explanation:

28 x 0.12 = $3.36

17. 484 - 333.96 = 150.04

What percentage is 150.04 of 484

X/100 = 150.04/484 (% / 100 = is/of)

= 31%

8. 35 x 0.30 = 10.50

$35 - $10.50 = $24.50

Answer:

  1 1/2 hours

Step-by-step explanation:

In one hour, the distance between them is reduced by 7+5 = 12 miles. At that rate, the 18 mile distance between them will be reduced to zero in ...

  time = distance/speed

  time = (18 mi)/(12 mi/h) = 3/2 h

It will take 1 1/2 hours until Mort and George meet.

Answer:

You are right

Step-by-step explanation:

Have a nice day

We want to find the equation for the graphed rational function. Notice that the options are not given, so I will try to find the function only from the graph.

The function is:

[tex]f(x) = \frac{(x - 5)}{x - 1}[/tex]

The first thing that we can see in the graph is that we have vertical asymptotes at x = 1.

The one in the positive side (of the x range) goes to negative infinity, while the other goes to positive infinity, then the equation will be something like:

[tex]f(x) = \frac{something}{x - 1}[/tex]

Such that the asymptotes are caused when the denominator is equal to zero.

We can see that we also have a horizontal asymptote at y = 1.

This means that, as x tends to infinity, our function will tend to 1, so we have something like:

[tex]f(x) = \frac{(x + b)}{x - 1}[/tex]

The horizontal asymptote is equal to the ratio of the leading coefficients when both polynomials have the same degree, like here, so we can take the two leading coefficients equal to 1, such that:

y = 1/1 = 1

To find the value of b, we evaluate the function in 0:

[tex]f(0) = \frac{b}{-1} = -b[/tex]

And if you look at the graph, you can see that at x = 0 we have:

f(0) = 5

then b = -5

So the function is:

[tex]f(x) = \frac{(x - 5)}{x - 1}[/tex]

If you want to learn more about rational functions, you can read:

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Answer: no<3

Step-by-step explanation:

leave a thanks if helped plz

Answer:

Step-by-step explanation:

1. 5, 3.5, [tex]\sqrt{9\\}[/tex], [tex]-\frac{12}{5}[/tex], -7

2. 10, π ,3.1415, 0, -10

3. 1[tex]\frac{1}{2}[/tex], 1.44, 1.4(3), 1.(43), [tex]\frac{7}{5}[/tex]

Answer:

you told me to resolve this problem

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

you add the thing then multipy it then do math!

Answer:

6 hours.

Step-by-step explanation:

This is directly proportional, meaning if you multiply one side by a number, you multiply the other side by the same number. For the ratio 50:4, you would have to multiply 1.5 to 50 to get 75 miles, so you would also have to multiply 4 by 1.5. This would get you 6 hours.

The answer to the first box would be 4

Answer:

4 for the first box

Step-by-step explanation:

Answer:

When two ratios exhibit the same connection, they are said to be proportionate. Two ratios may be tested for proportionality by writing them as fractions and then reducing them to the smallest possible number. In this case, your ratios are proportionate since the reduced fractions are the same.

Step-by-step explanation:

Hope it helps:)

=5/3   =−1

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Answer:

Miranda is correct because the value 7 makes the equation equal

I am not sure what goes in the blanks, those are my best guesses.

Step-by-step explanation:

34 = 27 + p

7 = p

Hopefully this helps!

Brainliest please?

Answer:

In point-slope form the equation is:

[tex]y - 2 = \binom{1}{3} \times (x - 1)[/tex]

Answer:

Step-by-step explanation:

4/50 = 0.08

0.08(100) = 8%