Solve the following inequality algebraically.
|x+4| ≤ 9

Answer:

[tex]slope \: s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} )} \\ s = \frac{(20 - 16)}{( - 8 + 6)} \\ s = \frac{4}{ - 2} \\ s = - 2[/tex]

Answer:

x = -8

Step-by-step explanation:

Distribute on both sides

combine constants

combine variables

then divide

Answer:

2(9x - 1) = 99-7(3 - 4x)

Step-by-step explanation:

2(9x + -1) = 99 + -7(3 + -4x)

Answer:

A (-3,0)

Step-by-step explanation:

By the way, there's this website called Desmos. I find it's very helpful.

Answer:

50

Step-by-step explanation:

There is a 50-50 chance the coin lands heads up. Of course, if you flip a coin 100 times, it will not be exactly 50, but it will be pretty close.

Answer:  

It is 50% likely because there is a 50/50 chance on both heads and tails

Step-by-step explanation:

i hope this helps sorry if im incorrect

Answer:

The answer is 7.4

Step-by-step explanation: I don’t really know a better way to tell you the explanation than just tell you the answer

The simplified expression is 7 3/5 or 7.6.

To simplify the expression using the order of operations (also known as PEMDAS), follow these steps:

Step 1: Simplify within parentheses (if any).

There are no parentheses in the expression, so we move to the next step.

Step 2: Perform multiplications and divisions from left to right.

First, let's divide 15 by 5:

15 ÷ 5 = 3

Step 3: Perform additions and subtractions from left to right.

Now, let's add 4 3/5 and 3:

4 3/5 + 3

To add the whole numbers, 4 and 3, we get 7.

To add the fractions, we need a common denominator. The common denominator of 5 and 1 is 5. Converting both fractions to have a denominator of 5:

4 3/5 + 3 = 4 3/5 + 15/5

Now, we can add the fractions:

4 3/5 + 15/5 = (4*5 + 3 + 15) / 5

             = (20 + 3 + 15) / 5

             = 38/5

Step 4: Express the result in mixed number form (if necessary).

38/5 can be expressed as a mixed number by dividing the numerator (38) by the denominator (5). The quotient is the whole number, and the remainder is the numerator of the fraction:

38 ÷ 5 = 7 with a remainder of 3

Therefore, the simplified expression is 7 3/5, which is equivalent to 7.6 as a decimal.

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Given:

The expression is

[tex]2(10)+2(x-4)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]2(10)+2(x-4)[/tex]

Using distributive property, we get

[tex]=20+2(x)+2(-4)[/tex]

[tex]=20+2x+(-8)[/tex]

[tex]=20+2x-8[/tex]

On combining like terms, we get

[tex]=2x+(20-8)[/tex]

[tex]=2x+16[/tex]

Therefore, the correct option is A.

Answer:

$17,100

Step-by-step explanation:

Set up an equation where y is the worth of the car and t is the number of years since 2010:

y = 26000(0.9)^t

Plug in 4 as t, since it is asking about 2014:

y = 26000(0.9)^t

y = 26000(0.9)^4

y = 17058.6

Round to the nearest hundred dollars:

17058.6

= 17,100

So, the car will be worth approximately $17,100

Answer:

120

the equation to find the area of a triangle is[tex]A[/tex] = [tex]B[/tex] · [tex]H[/tex] [tex]/ 2[/tex]

Therefore,

[tex]A=(12[/tex] · [tex]5) / 2[/tex]

[tex]A=60/2[/tex]

[tex]A=30[/tex]

There are 4 congruent triangles in this rhombus and therefore,

[tex]30[/tex] · [tex]4=120[/tex]

[tex]A=120 cm^2[/tex]

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

.

..

...

....

........

Answer:

45

Step-by-step explanation:

Answer:

The bottom choice.  0.29p + 1.59 = 5.07

Step-by-step explanation:

He only bought one notebook, therefore there doesn't need a variable assigned to it.

Pens need a variable because he buys more than one.

Answer:

1. 6

Step-by-step explanation:

500 – 350 = 150

150/25 = 6

Answer:

6 lawns

Step-by-step explanation:

She needs $500 and already has $350 saved

500-350=150

She still needs $150 to reach her goal

150/25 = 6  ($25 for each lawn)

Answer:

Down 4 unit (see discussion, could be right 4 units)

Step-by-step explanation:

f(x) = x

G(x) = x - 4

Discussion:

if f(x) = x      g(x) = f(x-4) = x-4  ... shift to right 4 units

or g(x) = f(x) - 4 = x -4    ... shift down 4 units

Answer:

9:00 pm to 6:45 am = 9 hours 45 minutes = 9.75 hours

Water level drops 3/16" (or .1875") every 9.75 hours

.1875 / 9.75 = 0.0192307692  inches per hour

Step-by-step explanation:

Step-by-step explanation:

Statement:

"If two sides of a triangle are congruent, then the angles opposite of them are congruent"

Converse:

If two angles of a triangle are congruent, then the two sides opposite them are congruent.

The converse of the statement is true and can be proven true using a two-column proof. In fact it is a theorem.

Answer:

the midline is the line:

y = 0.

Step-by-step explanation:

The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.

Particularly, for trigonometric functions, we usually have:

f(x) = A*sin(k*x + p) + M

Where:

A is the amplitude.

x is the variable

k is a constant related to the frequency of the function.

p is a phase shift

M is the midline of the function, which means that the line that divides evenly the graph is y = M.

For our case, we have:

y = f(x) = 3*sin(2*x - π)

Then:

A = 3

k = 2

p = -π

And we do not have a constant term in that equation, this means that:

M = 0

This means that the line that divides evenly the graph is the line y = 0.

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

Answer:

4 is not the constant. 2 is.

Step-by-step explanation:

In the following equation: y = 4x + 2

x and y are variables. x can be any given number, and y would be the resulting answer.

4 is not the constant, because the product it will produce varies on what x will be.

2 is a constant, because it will not change regardless what is put into x. It will continue to stay as 2.

Answer:

This would be the last option I think, sorry if it's wrong.

Step-by-step explanation:

Answer:last option

Step-by-step explanation:

Answer:

it is 20 months

Step-by-step explanation:

GOT IT RIGHT ON KHAN and

150,000 divided by 5 so 30,000 then 30,000 divided by 15

Each video gets an average of 1,500,000 views.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Each video gets an average of 1,500,000 views

Video get Views = 3 x 1,500,000

                            = 4,500,000 Views

Total Views = 90,000,000 Views

Number of months  = Total Views/Views per month

Number of months  =  90,000,000 / 4,500,000

                                 =  20 Months

Hence, For 20 Months Dagogo need to upload videos to get 90,000,000 views on his channel.

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Answer:

90

Step-by-step explanation:

i think

Answer:

90

Step-by-step explanation:

Answer:

yes why

?

Step-by-step explanation:

Answer:

x=9 z=108

Step-by-step explanation:

72+9=81

81/9=9

x=9

72+72=144

360-144=216

216/2=108

z=108

Answer:

n = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3n - 8 = 32 - n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 22 does indeed equal 22.

∴ n = 10 is the solution to the equation.

Answer:Shlong dong

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

90/100-2/5

=1/2

1/2-15/100

=7/20

Answer:

y = 1/4x + 5

Step-by-step explanation:

Here, we want to write the equation of the function

Generally we can have the equation of a straight line as;

y = mx + b

m is slope, b is the y-intercept

From the graph we have the y-intercept as 5

To get the slope, we select any two points and apply the slope formula

Let us have the points;

(8,7) and (4,6)

the slope will be;

m = (y2-y1)/(x2-x1) = (6-7)/(4-8) = 1/4

So the equation of the line is;

y = 1/4x + 5