Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method

Step-by-step explanation:

Q1

A. x must be 0

B. x can be any number. it because every number times by 0 will be 0

Q2

(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =

2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =

2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =

2⁰ + 5² = 25

Q3

4.55 x 10¹³ - 1.78 x 10¹² =

45.5 x 10¹² - 1.78 x 10¹² =

43.72 x 10¹²

4,37 x 10¹³ kg

Q4

A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸

or in scientific we can write 9.56 x 10³⁸ ergs

B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter

Answer:9

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Therefore,

LCM(6, 8, 9) = 72

Answer:

$40 and $72, see below :)

Step-by-step explanation:

One way we can do this is to add the total ratios and then divide that from 112.

10x + 18x = 28x = 112

28x = 112

x = 4

That means, for every ratio, you just have to multiply the amount by 4.

so for example, 10 is just 10 * 4 = 40

So, your answer would be you share the money into $40 and $72

Step-by-step explanation:

Since x is equal to -5, you would need to substitute that value for x in the equation x^2 + y^2 = 25. So....

-5^2 + y^2 = 25

(-5)*(-5) + y^2 = 25

25 + y^2 = 25

y^2 +25 - 25 = 25 - 25

y^2 = 0

y = 0

(x, y) = (-5, 0)

To check the answer....

x^2 + y^2 = 25

-5^2 + 0^2 = 25

25 + 0 = 25

25 = 25

The answer should be correct, if not i am extremely sorry

Hope this helps!!!

Answer:

y = -x - 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

x + y = -4

Step 2: Rewrite

Find slope-intercept form

Answer is

4.89

Step-by-step explanation

Answer:

Step-by-step explanation:

1.24

Answer:

3600

540

120

18

4278

Step-by-step explanation:

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

Answer:   The height is 3  units.

Step-by-step explanation:

By using the give figure we can form right angle out of the whole figure  with a base of  4  and an hypotenuse of 5.

By using this information we can use the Pythagorean Formula to find the height

a^2 + b^2 =c^2     a= base, b = height and c will be the hypotenuse.

4^2 + b^2 = 5^2     Solve for B

16  + B^2 = 25  

-16               -16

    b^2 = 9    

    b = [tex]\sqrt{9}[/tex]  

  b  = 3

The height, h, of the triangular prism is 3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.

Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.

By using Pythagoras theorem,

5²=h²+4²

25=h²+16

h²=9

h=3

Therefore, the height, h, of the triangular prism is 3 units.

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Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

Answer:

9.9 hours, rounded to the nearest tenth hour.

Step-by-step explanation:

To calculate the time of travel, we must first divide the distance by the speed. Why, you ask? Because of this equation:

[tex]Speed\=\ \frac{distance}{time}[/tex]

Therefore, with a little bit of arrangement, we get:

[tex]Time\=\ \frac{distance}{speed}[/tex]

So, let's get on with it.

[tex]Time\=\ \frac{643 \ miles}{65 \ mph}[/tex]

[tex]Time\=\ 9.9 \ hours [/tex]

Finally, we have our answer: 9.9 hours, rounded to the nearest tenth.

Hope this helped!

Answer:

what?

Step-by-step explanation:

Answer:

for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49

Answer:

You would have $18

Step-by-step explanation:

Have a good day!

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

Answer:

y=1/2x+1/2

Step-by-step explanation:

plot the points

we know the y-intercept is 1/2 because of (0,1/2)

count how many times it goes up and how many times it goes down

then simplify your slope

write in y=mx+b form

Answer:

y= -1/3x-4

y=2x+2

Step-by-step explanation:

the slope is rise over run

Answer:

A. Infinite

Step-by-step explanation:

First lets define a polynomial function. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation.

Well Infinite functions are functions that have an answer of all real numbers right? So that would make sense.

Honestly I've never heard of an indiscriminate.

Irrational function has answers that can only be zero or above never negative because its inside a radical sign and radical answers can't be negative. If you've ever seen the graph of an irrational function though it looks nothing like a polynomial.

A rational function is a function that the polynomial in it does not equal zero.

A polynomial function is not always a rational function though. But it can be.

I hope this helps. <3

The Polynomial function is also a :

Rational Function

Discriminant of a polynomial in math is a function of the coefficients of the polynomial.

There can be irrational Coefficient in a polynomial.

Yes, All polynomials are rational expressions but all rational expressions need not be polynomials.

Consider a polynomial p(x).This can be written as a rational expression as p(x)/1.

So, The Polynomial function is also a :

Rational Function

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The midline is the line Y=0 .

(That's the x-axis.)

Answer:

A

Step-by-step explanation:

We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).

Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.

I hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

n = 5 ; n = -1

Step-by-step explanation:

n - 3 = 2

When you transfer (-3) to the other side of the equation, it turns into (+3).

n = 2 + 3

Evaluate.

n = 5

n + 3 = 2

When you transfer (+3) to the other side of the equation, it turns into (-3).

n = 2 - 3

Evaluate.

n = -1

Answer:

x=5

x=1

Step-by-step explanation:

|x-3|=2

x-3=2

x-3=-2

x=5

x=1

Answer:

19.9 is the answer

Step-by-step explanation:

10 percent of 199 is 19.9

Answer:

10.

Step-by-step explanation:

6+1/3*12=6+4=10

Answer: 10

Step-by-step explanation:

Answer:

4.75

Step-by-step explanation:

Equation:8x-6=32

8x=38

x=4.75

The value of x from the equation 8x - 6 = 32 is x = 4.75

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

8x - 6 = 32   be equation (1)

On simplifying the equation , we get

Adding 6 on both sides of the equation , we get

8x = 38

Divide by 8 on both sides of the equation , we get

The value of x = 4.75

Therefore , the value of x is 4.75

Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75

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Answer:

point B is in quadrant I and point D is in quadrant II

Step-by-step explanation:

Answer:

68 Chips

Step-by-step explanation:

On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.

Answer: the answer is 13.6 units

Step-by-step explanation:

Answer:

C. 13.6 units

Step-by-step explanation:

i took the quiz on edge

Answer:

the value in the five years is  £2,621.44

Step-by-step explanation:

The computation of the value in the five years is given below:

= The value of the second car × (1 - losses percentage)^number of years

= £8,000 × (1 - 0.20)^5

= £8,000 × 0.80^5

= £8,000 ×  0.32768

=  £2,621.44

Hence, the value in the five years is  £2,621.44

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.