What is the slope of the line in the graph?


Slope = ______

Answer:

10.

Step-by-step explanation:

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

Answer: 10

Step-by-step explanation:

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

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

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:

You would have $18

Step-by-step explanation:

Have a good day!

Answer is

4.89

Step-by-step explanation

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

Let the age of 1st friend and 2nd friend is x, y respectively.

1 st condition= The sum of ages of two friends is 13 yrs.

i.e x+y = 13........ (I)

2nd condition= The product of their ages is 42.

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

Putting the equation (iii) in equation (ii).

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

[tex] {y}^{2} - 13y + 42 = 0[/tex]

[tex] {y}^{2} - (7 + 6)y + 42= 0[/tex]

[tex] {y}^{2} - 7y - 6y + 42 = 0[/tex]

[tex]y(y - 7) - 6(y - 7) = 0[/tex]

[tex](y - 6) (y - 7) = 0[/tex]

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

Keeping the value of y as "7" in equation (ii)

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

Hope it helps...

Answer:

Step-by-step explanation:

1.24

Answer:

3600

540

120

18

4278

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:

what?

Step-by-step explanation:

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

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

Learn more about Polynomial function at:

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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:

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

Step-by-step explanation:

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:

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.

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:

(1, 2)

Step-by-step explanation:

From the graph attached,

Two lines are representing linear system of equation.

Since, solution of any system of linear equations is a common point of the two lines.

In other words, point of intersection of these lines represent the solution of linear system of equations.

Solution of the linear system of equations → (1, 2)

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

The midline is the line Y=0 .

(That's the x-axis.)

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:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

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:

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

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:

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

To learn more about equations click :

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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