Which graph shows the solution to the inequality |x+3|<2?

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Let's take length of HK = n

By using trigonometry,

Hence, value of HK = 44 cm

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{JK}{HK}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{22}{HK}[/tex]

[tex]\\ \rm\Rrightarrow HK=\dfrac{22}{sin30}[/tex]

[tex]\\ \rm\Rrightarrow HK=44[/tex]

Standard Form:

93.195

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 93.195 =

 90  

+ 3  

+   0.1

+   0.09

+   0.005

Expanded Factors Form:

   93.195 =

 9 × 10  

+ 3 × 1  

+ 1 ×   0.1

+ 9 ×   0.01

+ 5 ×   0.001

Expanded Exponential Form:

 93.195 =

9 × 101

+ 3 × 100

+ 1 × 10-1

+ 9 × 10-2

+ 5 × 10-3

Word Form:

93.195 =

ninety-three and one hundred ninety-five thousandths

Answer:

P' (-4 , -7)

Step-by-step explanation:

reflection over y=x, (x,y) -> (y,x)

Answer:

Below

Step-by-step explanation:

5^n = 0.2

First write the number in exponential form with the base of 5 :

     5^n = 5^-1

Because the bases are the same, we can set the exponents as equal :

     x = -1

Hope this helps! Best of luck <3

your

Step-by-step explanation:

jsbsbnajdbdnsnsazxxss

Answer:

Well, 2 to the 4th power is just: 2 x 2 x 2 x 2 which when multiplied, you get 16.

Step-by-step explanation:

Say you multiply the first two 2's, you get 4, then you multiply the last two 2's,

You're left with 4x4 which is equal to 16.

or stocks, one point equals one dollar. So when you hear that a stock has lost or gained X number of points, it is the same as saying the stock has lost or gained X number of dollars.

Using points to describe share price gains, or declines, is generally done to describe short-term results, such as for the day or week.

Although one point always equals one dollar, the percentage value of a one-point movement can be different for two companies. Points refer only to the dollar amount that has changed, not the percentage. Two stocks can lose the same number of points but very different percentages.

Answer:

a=3, b=3, c=5, d=2

Step-by-step explanation:

prime factorization of 600: [tex]2^{3}[/tex] × 3 × [tex]5^{2}[/tex]

9514 1404 393

Answer:

  a. 2x +y = 10; 2x +3y = 22

  b. 6 minutes

Step-by-step explanation:

a) The problem statement tells you that ...

  x = minutes around the block

  y = minutes around the park

  2x +y = 10 . . . . twice around the block and once around the park: 10 min

  2x +3y = 22 . . . twice around the block and 3 times around the park: 22 min

__

b) Subtracting the first equation from the second gives ...

  (2x +3y) -(2x +y) = (22) -(10)

  2y = 12 . . . . . . . . simplify

  y = 6 . . . . . . . . . divide by 2

It takes you 6 minutes to jog around the park.

Answer:

Part A) The system of equations is

[tex]2x+y=10[/tex]

[tex]2x+3y=22[/tex]

Part B) The number of minutes it takes you to jog around the park is [tex]6[/tex] mins

Explanation:

Part A) Write a system of linear equations

Let [tex]x[/tex] ----> the number of minutes it takes you to jog around the block

Let [tex]y[/tex] ----> the number of minutes it takes you to jog around the park

we know that [tex]2x+y=10[/tex] ----> equation A

and [tex]2x+3y=22[/tex] ----> equation B

Part B) How long does it take you to jog around the park?

Multiply equation A by [tex]-1[/tex] both sides

[tex]-1(2x+y)=-10[/tex] ----> [tex]-2x-y=-10[/tex] ----> equation C

Adds equation B and equation C

[tex]2x+3y=22[/tex]

[tex]-2x-y=-10[/tex]

____________

[tex]3y-y=22-10[/tex]

[tex]2y=12[/tex]

[tex]y=6[/tex] minutes

Find the value of [tex]x[/tex]

[tex]2x+(6)=10[/tex]

[tex]2x=10-6[/tex]

[tex]x=4/2=2[/tex] minutes

Credit:

(This answer was originally made by calculista. All credit goes to them.)

Answer:

c

Step-by-step explanation:

Answer:

c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.

Step-by-step explanation:

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7.) LCM of 24, 48, 80

so, LCM = 2 × 2 × 2 × 2 × 3 × 5 = 240

8.) first three Common multiples of 3, 4, and 6

LCM = 12

first three common multiples of given numbers is first three multiples of their LCM, that is

9. LCM of 12, 16 and 24

LCM = 2 × 2 × 2 ×2 × 3 = 48

10. The day when the three of them will meet is LCM of the number of days they visit the library every week.

that is LCM of 2 , 3 and 4

that is 12

Answer:

7. 240

8. 12, 24, and 36

9. 48

10. 12

Step-by-step explanation:

7. Do the multiple of 24, 48, and 80. Then find the LEAST common number that all three numbers have in common. (Answer: 240)

8. Do the multiple of 3, 4, and 6. Then find 3 LEAST common numbers that all three numbers have in common. (Answer: 12, 24, and 36)

9. Do the multiple of 12, 16, and 24. Then find the LEAST common number that all three numbers have in common. (Answer: 48)

10. Do the multiple of 2, 3, and 4. Then find the LEAST common number that all three numbers have in common. (Answer: 12)

STEPS ON HOW TO SOLVE:

Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 3, 4, and 6. Write this prime number(2) on the left of the given numbers(3, 4, and 6), separated as per the ladder arrangement.

Step 2: If any of the given numbers (3, 4, 6) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.

Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 3, 4, and 6 is the product of all prime numbers on the left, i.e. LCM (3, 4, 6) by division method = 2 × 2 × 3 = 12.

Answer:

I don't know how 2 answer

Step-by-step explanation:

It doesn't show the fraction

Answer:

21

Step-by-step explanation:

cus i got it right  on my test

Answer:

 x-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x+13*y-(6)=0

Step 1: Equation of a Straight Line

Solve   4x+13y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  4x+13y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/13 so this line "cuts" the y axis at y= 0.46154

 y-intercept = 6/13  =  0.46154  

Calculate the X-Intercept :

When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000

 x-intercept = 6/4 = 3/2  =  1.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.462 and for x=2.000, the value of y is -0.154. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.154 - 0.462 = -0.615 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.615/2.000 = -0.308  

Geometric figure: Straight Line

 Slope = -0.615/2.000 = -0.308

 x-intercept = 6/4 = 3/2 = 1.50000

 y-intercept = 6/13 = 0.46154

Answer:

15

Step-by-step explanation:

let total num of boys be X.

then,2/5 of X = 8

2 ×x = 40

X = 20

Now, let the total num of students be y,then we get,

4/7 of y = 20

4 × y = 140

y = 35

similarly, total num of girls = total num of students - total num of boys

= 35 - 20

= 15 ans

Answer:

Without any answers, I can't give you information. But if the numbers in the list would be able to be divided by 3, resulting in a whole number - no fractions or decimals - then it's considered a multiple of 3.

Step-by-step explanation:

Step-by-step explanation:

The slope of the line = (y₂ - y₁) ÷ (x₂ - x₁)

                                   = (-37 - (-61)) ÷ (-26 - (-32))

                                   = 24 ÷ 6

                                   =  4

Answer:

i have no idea 5

Step-by-step explanation:

i need help too please help

Hello.

Have a beautiful and joyful day ahead.

Answer:

Step-by-step explanation:

was there a actual question ?

have a good day

Answer:

y = 3/8x + 3

Step-by-step explanation:

Parallel lines have the same slope. In given equation, y = 3/8x + 5, the slope, m = 3/8. Therefore, the other line must also have the same slope.

Using the slope, m = 3/8, and the given point, (16, 9), substitute these values into the slope-intercept form:

y = mx + b

9 = 3/8(16) + b

9 = 6 + b

9 - 6 = 6 - 6 + b

3 = b (this is the y-intercept).

Now that we have our slope, m = 3/8, and the y-intercept, b = 3:

The equation of the line parallel to y = 3/8x + 5 is:

y = 3/8x + 3

The rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex] can be written as the sum of two partial fractions as [tex]\frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].

For the decomposition of a rational equation, partial fractions are used. Each component of an algebraic expression that is divided into a sum of two or more rational expressions is referred to as a partial fraction.

Given, A rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex].

Now, x² + x - 12 can be written as

x² + x - 12.

= x² + 4x - 3x - 12.

= x(x + 4) - 3(x + 4).

= (x + 4)(x - 3).

Therefore, [tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x - 4}{(x + 4)(x - 3)}}[/tex].

[tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].

learn more about partial fractions here :

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Answer:

x = 6

Step-by-step explanation:

(6x + 2) and 38 are vertically opposite angles and are congruent, then

6x + 2 = 38 ( subtract 2 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Answer:

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Step-by-step explanation:

Answer:

2y + 5x

Step-by-step explanation:

{ 2y - 2x } - ( - 7x )

= 2y - 2x + 7x

= 2y + 5x

Answer:

4

Step-by-step explanation:

To find the average rate of change, we have to plug in the difference between the intervals with this equation: f(b) - (fa) / x₂ - x₁

Let f(a) = f(-1) = 4(-1) + 1

     f(b) = f(2) = 4(2) + 1

     x₂ = 2

     x₁ = -1

[4(2) + 1 - (4(-1) + 1)] / [2 - (-1)]

[8 + 1 + 4 - 1] / [3]

12 / 3 = 4

Answer:

DOMAIN: (INFINITY, -INFINITY)

RANGE: (-infinity, INFINITY)

Step-by-step explanation:

hm good luck cus I'm a savage

Answer:

domain: (–∞,∞)    or  all real numbers

range: (–∞,∞)       or  all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total cost in piggy bank with pennies and quarters = $2.85

And, The number of pennies is 5 more than three times the number of quarters.

Let Number of quarters = x

And, Number of pennies = y

                                       = 5 + 3x

Since, Total cost in piggy bank with pennies and quarters = $2.85

So, we can formulate;

0.25x + 0.01y = $2.85

Substitute the value of y as;

0.25x + 0.01(5 + 3x) = 2.85

0.25x + 0.05 + 0.03x = 2.85

0.28x + 0.05 = 2.85

x = 10

And, y = 5 + 3x = 5 + 3 × 10 = 35

Thus,

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

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[tex]20p+75=35p+30[/tex]

Step 1: Subtract [tex]20p[/tex] from both [tex]p[/tex] sides

[tex]\:\:\:\:20p+75=35p+30\\-20\:\:\:\:\:\:\:\:\:\:\:\:-20[/tex]

20 - 20 = 0, so it is canceled out. 35 - 20 = 15, don't forget the [tex]p[/tex]!

[tex]75=15p+30[/tex]

Step 2: Subtract 30 from both sides

[tex]\:\:\:\:75=15p+30\\-30\:\:\:\:\:\:\:\:\:\:\:\:-30[/tex]

30 - 30 = 0, so it is canceled out. 75 - 30 = 45.

[tex]45=15p[/tex]

Step 3: Divide both sides by 15

[tex]\frac{45}{15} =\frac{15p}{15}[/tex]

15 ÷ 15  cancels out. 45 ÷ 15 = 3.

[tex]20p+75=35p+30\quad :\quad \boxed {\bold {p=3}}[/tex]

Answer:

20p+75=35p+30

Step-by-step explanation:

Answer:

converse: if a year has 366 days then it is a leap year

inverse: if it is not a leap year then it is not a year with 366 days

contrapositive: if a year does not have 366 days then it is not a leap year