Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.

Example: 3/4 x 7

3          7

     x

4          1

You multiply 3 and 7 to get 21.

Then multiply 4 and 1 to get 4.

Now you have 21/4.

Finally, you simplify.

5 1/4

hope it helps! :3

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

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Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

Answer:

What line? S...... Sss

Answer:

Try to do it with mth way

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

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. LHS = RHS is a common mathematical formula.

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:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

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Answer:

x = 29

Step-by-step explanation:

The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.

2x - 10 + 4x + 16 = 180

6x + 6 = 180

6x = 174

x = 29

Answer:

150 miles

Step-by-step explanation:

use the pythagoerean theorem

42^2 + 144^2 = c^2

1764+20736=c^2

22500 = c^2

c= 150 miles

Step-by-step explanation:

(x_42)(x+42)...

....

Answer:

-4

Step-by-step explanation:

Answer:

26

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define expression

(-4)(-2) - 6(2 - 5)

Step 2: Evaluate

Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

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

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

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

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Answer:

1.8

Step-by-step explanation:

Answer:

y = x + 4  

Step-by-step explanation:

Slope intercept :  2x - 2y = 8  =  2x     2x  = 8 + 2y   =  2x = 8 +2y   = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2  = 2x / 2 - 8/2  = 2y/2 = y = x-4    

Answer:

5.49 x 10^14

Step-by-step explanation:

The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^

Answer:

I will solve each one and work from there:

A. 4(5-y) ≥80

     20-2y≥80

      -2y≥60

        y≥-30

B. 2(y-3) ≥ 8

    2y-6≥8

     2y≥14

     y≥7

c. 3y-4>1

   3y>5

     y>5/3

d.  -3/4 / 6y>1/4

      -3/4>1/4 x 6y

Notice how for each inequality it is y≥ or > abc

Although for d it is a number greater than 1/4 x 6y

Based off that i would assume that D is correct

Step-by-step explanation:

Step-by-step explanation:

[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]

Answer:

27

Step-by-step explanation:

(30 workers/40 days) = (20 workers/x days) cross multiply

30*x=40*20 divide by 30 both sides

x= 800/30

x≈26.67

So they will need 27 days

Answer:

[1] Addition property of equality

[2] Division property of equality

Step-by-step explanation:

Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:

[tex] 4x - 6 = 34 [/tex] => Given equation

Add 6 to both sides

[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]

[tex] 4x = 40 [/tex] => simplify

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]

[tex] x = 10 [/tex] => simplify

The justification for the steps taken are:

[1] Addition property of equality

[2] Division property of equality

Answer:

The answer is D.

Step-by-step explanation:

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Answer:

Step-by-step explanation:10

Answer:

1) slope m=-4

2) slope m=-5/4

3) slope m=1

4) slope m=-2

5) slope m=3/5

6) slope m=5/8

Step-by-step explanation:

Slope equation: m=y2-y1/x2-x1

With our slope equation can get just use the graph and choose two points that the line crosses over.

Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4

The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.

(I may be wrong because the graph is a little blurry)

Hope this helps you

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

Answer:

Obtuse

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459