[tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

Answer:

x = 2

Step-by-step explanation:

Given:

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

Answer:

I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:

A(x) = ax^3 + bx² + cx+d

A(x) = x^3 + x^2 -4x -4

Step-by-step explanation:

(x+2)*(x+1)*(x-2)      [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]

Multiply this out to get A(x) = x^3 + x^2 -4x -4

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

Answer:

(1,1) and (2,2)

Step-by-step explanation:

you have to locate points that will overlap with both shaded area

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

where a is the first term

n is the number of terms

d is the common difference

From the question

To find the common difference subtract the previous term from the next term

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]

Answer:

2y x5

Step-by-step explanation:

Answer: 4

Step-by-step explanation: I divided 200 by 42 and got 4.761904762. Then I multiplied 42 by 4 and got 168. 200-168 is 32. You would only have 32 dollars left and that is not enough to have the car for another day.

Answer:

y=1/3x-5

Step-by-step explanation:

when it is perpendicular you just flip the -3x and he its reciprocal  

Answer:

Slope is 4.

y=4x + 1

Take coordinates (0,1) & (1,5)

Rise/Run

5-1/1-0 = 4

Step-by-step explanation:

the same factor of one dimension or one line applies then for all dimensions or lines.

the length goes from 16 to 32 cm. that means it doubles.

so, we need to double also the width :

10.5 × 2 = 21 cm

therefore, the first answer option is correct.

Answer:

y= -¾x + 19/4

Step-by-step explanation:

get gradient and substitute

Answer:

Median;$1.35 million

Step-by-step explanation:

You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.

Which measure of center is most appropriate, and what is the value of the measure of center?

median; $1.35 million

mode; $1.5 million

median; $2.15 million

mean; $4.9 million

mean; $5.58 million

Answer: 1.35 is wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter=2(length+widht)

Given values:

length=30 m

width=18 m

Substitute values in formula:

Perimeter=2(20+18) m

Perimeter=2(38) m

Perimeter= 76 m

Answer:

Step-by-step explanation:

1376!

Answer:

yeah it's 1367

Step-by-step explanation:

I did the math!!!!

Answer:

7/10

Step-by-step explanation:

There are 10 people in total and 7/10 of them are nurses

or 0.7 out of 1 probability

Answer:

0.429 is the correct answer.

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $450 × .055                                   5.5% = as a decimal (.055)

Commission = $24.75

Answer:

the last option

Step-by-step explanation:

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Answer:

The sequence is that, for every page 999 stars are drawn.

Step-by-step explanation:

999

999

999

999

3996

--

The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".

Answer:

3.Top: |-80| + |50| = 80 + 50 = 130m

Bottom: same as top

Left: |50| + |-20| = 50 + 20 = 70m

Right: same as left

4.

130m+130m+70m+70m=400m

The perimeter is 400 meters

Answer:

4.6 and 3.5 and 3.6.

Step-by-step explanation:

Because they have to be in a range between 3.7 and 4.3.

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.