Y=8 when x=20 find y when x= 30

Answers

Answer 1
Answer:

Answer:

y=13

Step-by-step explanation:

if x=20 when y=8 (we can creat equation )

x=2y+4 (you can prove that the equation is correct by substitute )

so the question is if x=30 find the value of y

30=2y+4

30‒4=2y

26=2y

26/2=2y/2

13=y

i hope this helps you


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What are the solutions of this quadratic equation? x^2+13=8x+37

Answers

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

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Answer:

              x\in\left\{4-2√(10)\ ,\ \,4+2√(10)\,\right\}

Step-by-step explanation:

x^2+13=8x+37\n\nx^2-8x-24=0\n\na=1\,,\ \ b=-8\,,\ \ c=-24\n\nx_1=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8-√(64+96)}2=\frac{8-√(160)}2 =\n\n=\frac{8-4√(10)}2=\frac{2(4-2√(10))}2=4-2√(10) \n\nx_2=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8+4√(10)}2=4+2√(10)

Which of the following is the solution to 4 | x + 3 | ≥ 8?A. x ≤ -5 and x ≥ -1
B. x ≥ -1
C. x ≤ -5 or x ≥ -1
D. x ≥ -5 or x ≥ -1

Answers

First we get rid of the 4 by dividing by it:

4 | x + 3 | ≥ 8 =>
| x + 3 | ≥ 2

Then eliminate the absolute operator like this:

| x + 3 | ≥ 2 =>

-x-3 ≥ 2 or x+3 ≥ 2

Simplify:

-x ≥ 5 or x ≥ -1=>
x ≤ -5  or x ≥ -1

That's answer C
either  4(x + 3) >= 8  or 4(x + 3) <= -8

4x + 12 >=8                 
4x  >= =4
x >= -1
or 

4x + 12 <= -8
4x <= -20
x <= -5 

Answer is C

Find the unit rate: 6 yards of fabric for $8.10

Answers

Answer:

$1.35 per yard

Step-by-step explanation:

$8.10/6=$1.35

Answer:

$1.35

Step-by-step explanation:

$8.10 divided by 6

A chef has 1/2 a pound of flour to divide equally into two containers. How much flour will be in each container?

Answers

There is 1/4 flour will be in each container

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that A chef has 1/2 a pound of flour

The chef has to divide 1/2 a pound of flour to two containers equally.

We need to find how much flour will be in each container.

Which means we have to divide 1/2 by 2.

(1/2)/2

One by two whole divided by 2

1/2 is the numerator and 2 is the denominator

=1/2×2

=1/4

Hence, there is 1/4 flour will be in each container

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Answer:

1/4

Step-by-step explanation:

Which of the following represents the measure of all angles coterminal with 418° angle?

Answers

The correct answer is:

58+360n, for any integer n.

Explanation:

412° is more than 360°, which is a full circle.  To find the smallest angle that is coterminal with 412°, we subtract 360° from it:
412-360 = 58°

This means that 58° is the smallest coterminal angle with 412°.

Every whole circle added on to this will also be coterminal with it.  Again, a whole circle is 360°; this means that every 360° increment that is added to 58° will be coterminal with it.  

To represent multiples of 360, we write 360n.  Adding this to our original angle, we have 58+360n.

This works for positive and negative numbers; for example, if you use n = -1:

58+360(-1) = 58-360 = -302

Graphing this angle, we would go counterclockwise from the positive x-axis; we would land at 58°, so it would still be coterminal with 412°.
418° is the same angle as 360° + 58° .

And then, if you add any whole number of 360s onto it,
you get the same angle again.

So it's    58+360n  with n=any whole number 
                                 (n=0 doesn't work, so it's not 'integer'.  '0' is an integer.)

What is 1 tenth of 3.0. as a decimal

Answers

Answer=0.3

1/10 of 3.0 is 0.3

3.0*(1/10)=0.3