Write the slope-intercept form of the equation of the line through the given point with the given slope.

All solutions are larger than 9

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Explanation:

Divide both sides by 2 and we get

2w > 18

2w/2 > 18/2 .... dividing both sides by 2

w > 9

Any number larger than 9 can replace w, and we'll get a true statement.

For instance, if we tried w = 12, then,

2w > 18

2*12 > 18

24 > 18

Which is true since 24 is indeed larger than 18.

On the flip side, if we tried w = 5, then,

2w > 18

2*5 > 18

10 > 18

which is not true because 10 is actually smaller than 18.

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So again, the inequality 2w > 18 solves to w > 9

This shows all solutions are larger than 9.

If we can only pick values from the set {9,5,12,11}, then the solutions are 11 and 12 since they are larger than 9.

Answer:

1.4*(10^2)=140

9.4*(10^6)=9,400,000

Step-by-step explanation:

Answer:

392 liters of synthetic oil is needed

Answer:

Step-by-step explanation:

Given that:

The differential equation; [tex](x^2-4)^2y'' + (x + 2)y' + 7y = 0[/tex]

The above equation can be better expressed as:

[tex]y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0[/tex]

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

[tex]p(x) = \dfrac{(x+2)}{(x^2-4)^2} \[/tex]

[tex]p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \[/tex]

[tex]p(x) = \dfrac{1}{(x+2)(x-2)^2}[/tex]

Also;

[tex]q(x) = \dfrac{7}{(x^2-4)^2}[/tex]

[tex]q(x) = \dfrac{7}{(x+2)^2(x-2)^2}[/tex]

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

[tex]\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}[/tex]

[tex]\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}[/tex]

[tex]\implies \dfrac{1}{16}[/tex]

[tex]\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}[/tex]

[tex]\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}[/tex]

[tex]\implies \dfrac{7}{16}[/tex]

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

Answer:

m = 2

(0, 4)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 2x + 4

Step 2: Break function

Slope m = 2

y-intercept b = 4

Answer: It's the third one

Step-by-step explanation:

Answer:

box  # 1

Step-by-step explanation:

y2 -y1

x2-x1

each set of numbers will be simplified to 1

4,8   7,11

7,11   10,14

4,8,  10,14          do them all as the first step and you will come out with same

                          answer

Answer:

check your commments

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

10 = 2 * 5

6   = 2 * 3

LCM of 10 , 6 =  2 * 3 * 5 = 30

[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]

          [tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]

Answer:

  100

Step-by-step explanation:

Moving the decimal point 2 places to the right is equivalent to multiplication by 100.

Both were multiplied by 100.

Answer:

Use the quadratic formula --> follow the steps from there

Step-by-step explanation:

Message me if you do not know how to use the quadratic formula :)

Answer:11.3

Step-by-step explanation:

Answer:

625 trees

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

27+16+33= 76

100-76 =24

24% are willows

150 trees are willows

150/24 = x/100

x = 625

Answer:

2 cups of melted chocolate

Step-by-step explanation:

1 box of cookies = 1 cup of melted chocolate

Therefore, 2 box of cookies = 2 cups of melted chocolate

Answer:

y = 3/7x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 3/7

Point (14, 0)

Step 2: Find y-intercept b

Step 3: Write linear equation

y = 3/7x - 6

Answer:

im pretty sure its 100 miles

Step-by-step explanation:

4800 divided by 48 is 100

Answer:

Y = 20

Step-by-step explanation:

Because x = 12 we do:

2(12) - 4.

2 x 12 = 24.

24 - 4 = 20.

I hope this helps :)

Answer:

his mistake is that he switched 7 and 12

Step-by-step explanation:

7 should have gone inside while 12 went on the outside

the answer should be .583333 (repeated)

Answer:

The two numbers are 5.73 and 2,27

Step-by-step explanation:

Let the two numbers be x and y

[tex]x + y = 8[/tex]

[tex]xy = 13[/tex]

Make x the subject in the first equation

[tex]x = 8 - y[/tex]

Substitute 8 - y for x in the second equation

[tex](8-y)*y = 13[/tex]

Open brackets

[tex]8y - y^2 = 13[/tex]

Equate to 0

[tex]y^2 - 8y + 13 = 0[/tex]

Solve using quadratic formula

[tex]y = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 1[/tex]   [tex]b = -8[/tex]    [tex]c = 13[/tex]

So:

[tex]y = \frac{-(-8) \± \sqrt{(-8)^2 - 4*1*13}}{2*1}[/tex]

[tex]y = \frac{8 \± \sqrt{64 -52}}{2}[/tex]

[tex]y = \frac{8 \± \sqrt{12}}{2}[/tex]

[tex]y = \frac{8 \± 3.46}{2}[/tex]

Split

[tex]y = \frac{8 + 3.46}{2}[/tex] or [tex]y = \frac{8 - 3.46}{2}[/tex]

[tex]y = \frac{11.46}{2}[/tex] or [tex]y = \frac{4.54}{2}[/tex]

[tex]y = 5.73[/tex] or [tex]y = 2.27[/tex]

Recall that

[tex]x = 8 - y[/tex]

When [tex]y = 5.73[/tex]

[tex]x = 8 - 5.73[/tex]

[tex]x = 2.27[/tex]

When [tex]y = 2.27[/tex]

[tex]x = 5.73[/tex]

Hence, the two numbers are 5.73 and 2,27

Answer:

P=2

Step-by-step explanation:

Answer:

2 pounds

Step-by-step explanation:

4.05 p +14.4=4.5p+13.5

14.4=.45p+13.5

.9=.45p

45p=90

p=2

Answer:

yes u can but i dont know how to show u becuase i cant move them round

Step-by-step explanation:

Answer:

6 yards were gained between the two plays.

Step-by-step explanation:

13 minus 7 is 6.

Losing a value is decreasing, so you would use a negative sign.

Subtract the partial value lost from the total.

You get 6.

Answer:

6 yards. Marco and his football to got 6 yards.