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Answer:

x<-6 or x>10

Step-by-step explanation:

-3+|x-2|>5

add 3 to both sides

|x-2|>8

x-2>8

x>10

There are 2 answers because it is absolute value.

It can't be 10, so the only other option is -6.

|x-2|>8

|-6-2|=8

|-8|=8

Apply absolute rule. If |u| > a, u < -a

because one of the answers is -6, it has to be x<-6

Answer:

12 cups of pineapple juice for 16 cups of ginger ale.

Step-by-step explanation:

4+4+4+4= 16

3+3+3+3= 12

Answer:

77 rows

As per the provided information in the given question, we have :

We've been asked to calculate the number of rows in the auditorium.

Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.

Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.

Writing it in the form of a linear equation,

[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]

Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.

[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]

Therefore, there are 77 rows in the auditorium.

Answer:

A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?

Answer:

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis. The reflections are shown in Figure 9.

Graph of the vertical and horizontal reflection of a function.

Figure 9. Vertical and horizontal reflections of a function.

Notice that the vertical reflection produces a new graph that is a mirror image of the base or original graph about the x-axis. The horizontal reflection produces a new graph that is a mirror image of the base or original graph about the y-axis.

A GENERAL NOTE: REFLECTIONS

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

HOW TO: GIVEN A FUNCTION, REFLECT THE GRAPH BOTH VERTICALLY AND HORIZONTALLY.

Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.

Multiply all inputs by –1 for a horizontal reflection. The new graph is a reflection of the original graph about the y-axis.

EXAMPLE 7: REFLECTING A GRAPH HORIZONTALLY AND VERTICALLY

Reflect the graph of \displaystyle s\left(t\right)=\sqrt{t}s(t)=√

t

(a) vertically and (b) horizontally.

SOLUTION

a. Reflecting the graph vertically means that each output value will be reflected over the horizontal t-axis as shown in Figure 10.

Graph of the vertical reflection of the square root function.

Figure 10. Vertical reflection of the square root function

Because each output value is the opposite of the original output value, we can write

\displaystyle V\left(t\right)=-s\left(t\right)\text{ or }V\left(t\right)=-\sqrt{t}V(t)=−s(t) or V(t)=−√

t

Notice that this is an outside change, or vertical shift, that affects the output \displaystyle s\left(t\right)s(t) values, so the negative sign belongs outside of the function.

b.

Reflecting horizontally means that each input value will be reflected over the vertical axis as shown in Figure 11.

Graph of the horizontal reflection of the square root function.

Figure 11. Horizontal reflection of the square root function

Because each input value is the opposite of the original input value, we can write

\displaystyle H\left(t\right)=s\left(-t\right)\text{ or }H\left(t\right)=\sqrt{-t}H(t)=s(−t) or H(t)=√

−t

Notice that this is an inside change or horizontal change that affects the input values, so the negative sign is on the inside of the function.

Note that these transformations can affect the domain and range of the functions. While the original square root function has domain \displaystyle \left[0,\infty \right)[0,∞) and range \displaystyle \left[0,\infty \right)[0,∞), the vertical reflection gives the \displaystyle V\left(t\right)V(t) function the range \displaystyle \left(-\infty ,0\right](−∞,0] and the horizontal reflection gives the \displaystyle H\left(t\right)H(t) function the domain \displaystyle \left(-\infty ,0\right](−∞,0].

TRY IT 2

Reflect the graph of \displaystyle f\left(x\right)=|x - 1|f(x)=∣x−1∣ (a) vertically and (b) horizontally.

Solution

EXAMPLE 8: REFLECTING A TABULAR FUNCTION HORIZONTALLY AND VERTICALLY

A function \displaystyle f\left(x\right)f(x) is given. Create a table for the functions below.

\displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x)

\displaystyle h\left(x\right)=f\left(-x\right)h(x)=f(−x)

\displaystyle xx 2 4 6 8

\displaystyle f\left(x\right)f(x) 1 3 7 11

SOLUTION

For \displaystyle g\left(x\right)g(x), the negative sign outside the function indicates a vertical reflection, so the x-values stay the same and each output value will be the opposite of the original output value.

\displaystyle xx 2 4 6 8

\displaystyle g\left(x\right)g(x) –1 –3 –7 –11

For \displaystyle h\left(x\right)h(x), the negative sign inside the function indicates a horizontal reflection, so each input value will be the opposite of the original input value and the \displaystyle h\left(x\right)h(x) values stay the same as the \displaystyle f\left(x\right)f(x) values.

\displaystyle xx −2 −4 −6 −8

\displaystyle h\left(x\right)h(x) 1 3 7 11

TRY IT 3

\displaystyle xx −2 0 2 4

\displaystyle f\left(x\right)f(x) 5 10 15 20

Using the function \displaystyle f\left(x\right)f(x) given in the table above, create a table for the functions below.

a. \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x)

b. \displaystyle h\left(x\right)=f\left(-x\right)h(x)=f(−x)

Answer:

36.897

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 60 from both sides.

Step 3: Divide both sides by 3.

Step 4: Check if solution is correct.

Therefore, x = 10.

Answer:

B

Step-by-step explanation:

Answer:

A. A worker with 1700 hours of training is paid $40 per month

Step-by-step explanation:

Given : the table of hours of training and monthly pay

To find : meaning of h(40)=1700

Answer : here 40 is given under hours of training and 1700 is given under monthly pay.

So, h(40)=1700 means the workers with 40 hours of training is paid $1700 every month

Step-by-step explanation:

area of circle = πr²

radius ² = 9.15 = 83.72 (approx.)

now,

→ 22/7 × 83.72

→ 22 × 11.96 = 263.02 m²

therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².

hope this answer helps you dear..take care and may u have a great day ahead!

Step-by-step explanation:

[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]

[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]

[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]

Answer:

Step-by-step explanation:

If the sum of three consecutive odd integers is 255, then the three integers are 83, 85, and 87.

Answer:

y=5x-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write the equation of the line perpendicular to 2x-3y=12 that passes through the point (16,-7)

Rewrite the equation as  y = (2/3)x - 4  This has slope 2/3

A perpendicular line will have slope -3/2 so the equation of a perpendicuar line is y = -(3/2)x + c where c is a constant found from the fact that the line must go through point (16, -7).

-7 = -(3/2).16 + c

c = 24 - 7  

c = 17

Hence perpendicular line has equation  y = -(3/2)x + 17

Answer:

gok jhtgrfedcfrgtyhu57i86i8ujyhg

Step-by-step explanation:

Answer:

15-11=4 feet

Step-by-step explanation:

Answer:

12/9

Step-by-step explanation:

bezfhyshotwhirdd

Answer:

Step 1: The formula for distance is

Distance = Rate × Time

Total distance = 32 × 3 + 60 × 4 = 624

Step 2: Total time = 2 + 4 = 6

Step 3: Using the formula:

average speed formula

624/6 = 104

Step-by-step explanation:

Step-by-step explanation:

vyo yesko solutions yeti matra xa

Answer:

1. not

2. repeats

3. problem

I think those are the answer to fill in the blank unless there is a word bank that you might have forgot to post.

Step-by-step explanation:

Answer:

1. ends

2. repeatedly continues

3.problem solving

Answer:

C

Step-by-step explanation:

5-10x+25=0

5+25=10x

30=10x

x=3

Answer:

It is correct :)

Step-by-step explanation:

Answer:

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99

The number of dimes, pennies and nickels are required.

The number of dimes is 50, pennies is 200 and nickels is 75.

Let the number of dimes be [tex]x[/tex]

From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.

So,

The number of pennies is [tex]4x[/tex]

and number of nickels is [tex]\dfrac{3}{2}x[/tex]

1 nickel = 0.05$

1 penny = 0.01$

1 dime = 0.01$

Total value of the coins is $10.75

[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]

The number of dimes is 50.

The number of pennies is [tex]4x=4\times50=200[/tex]

The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].

Learn more:

https://brainly.com/question/24875263

https://brainly.com/question/20842274

Answer:

0.8

Hope this Helps

Answer:

0.8

Step-by-step explanation:

I toke the quiz.

Answer:

The answer is 325

Step-by-step explanation:

hope it helps<333

Answer: there were 6 chairs

Step-by-step explanation: 10x + 5 = 65

Answer: 4

Step-by-step explanation:

2 + 2 = 4 or II+II=IIII

Make sense?

Answer:

2+2=4

Step-by-step explanation:

That is like the easiest math problem ever .

Answer:

[tex]-3<x<4[/tex]

Step-by-step explanation:

[tex]-2<2x+4<12[/tex]

We want to isolate [tex]x[/tex].

Subtract 4 from all sides:

[tex]-2-4<2x+4-4<12-4[/tex]

[tex]-6<2x<8[/tex]

Divide all sides by 2:

[tex]\frac{-6}{2} <\frac{2x}{2} <\frac{8}{2}[/tex]

[tex]-3<x<4[/tex]

Hope this helped.

Step-by-step explanation:

1 ft = 12 in

=>

6 ft = 12×6 = 72 in

so, the given ratio is

6 ft / 80 in = 72 in / 80 in = 9/10 in

Answer: For fabrics with a nap and/or one-way designs, add 1/4 yard for each yard specified. For plaids, add the length of one plaid repeat for each yard specified.

Step-by-step explanation:

Answer:

5 1/3 + 9 2/3

Step-by-step explanation:

A number minus a negative number will be the same thing as addition