Solve for x: −6 < x − 1 < 9
a. 5 < x < 10
b. −5 < x < 10
c. −5 > x > 10
d. 5 > x > −10

Answers

Answer 1

Answer:

-5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9 just get rid of -1 by adding 1 to all three terms

-6 + 1 < x -1 + 1 < 9 + 1

-5 < x < 10

Answer 2

Answer:

| − 2 | − 7 2 x− 9 ⋅ 5 x − 4  − 6 ( y − 3 )

Step-by-step explanation:


Related Questions

PLSSS HELP Which triangles are similar to triangle A?

Answers

Answer:

ΔB

Step-by-step explanation:

ΔA's angles are: 58º, 54º, and 68º

68º is found by 180 - (58 + 54)

ΔB's angles are: 54º, 68º, and 58º

58º is found by 180 - (68 + 54)

ΔA and ΔB have the same angles, therefore they are similar triangles

Answer:

triangle b

Step-by-step explanation:

i measured

For all integer values of x and constant k, if (x+6)(x+k)=x^2+14x+48, what is the value of k?

Answers

Answer:

  8

Step-by-step explanation:

The product of terms on the left of the equal sign is ...

  (x+6)(x+k) = x^2 +(6+k)x +6k

So, you have two clues to the value of k. The coefficient of x must match, and the constant must match.

  6+k = 14   ⇒   k = 8

  6k = 48   ⇒   k = 8

The value of k is 8.

4m-3/4= -9+4m/8 helppp

Answers

Answer:

m=−  33/14   =−2.357

Step-by-step explanation:

if you search up you question the first thing will come up is an answer from tiger algebra  is may not be you question but click on it is will take to to this search bar area clear it and put you question in it then it will give your answer and step by step explanation

Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4

Answers

we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is
for an input value equal to
the output value for both functions is
therefore
the answer is the option
X= 4

Answer:

D. x=4 did the test on edge

Step-by-step explanation:

Which of the following is the set of all real number x such that x-2 < x-4?

Answers

If you subtract x from both sides, then you go from

x-2 < x-4

to

-2 < -4

which is a false statement. The value -2 is not smaller than -4. It's the other way around. I recommend looking at a number line to compare the two values.

This means that x-2 < x-4 is never true regardless of what x value you pick. So there are no solutions.

Of you add 7 to 3 times the no. you will get 31 . What are the two no.

Answers

the no. is 8.

31 - 7 = 24

3 x 8 = 24

Answer:

8

Step-by-step explanation:

Find the number of possible outcomes. Seven books need to be placed
on a shelf. You randomly arrange the books on the shelf from left to right.

Answers

Should be 5040 ways
Answer:
5040 possible outcomes.

Explanation:
There are 7 books, therefore you need to do 7! (factorial).
1x2x3x4x5x6x7 = 5040

I’m mainly looking for help with #15 for this one please

Answers

Answer:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

Step-by-step explanation:

So we want to left and right hand limits of the function:

[tex]f(x)=\sin{\frac{\pi}{\floor[x]}[/tex]

as x approaches 3.

Note that the [x] means the floor function a.k.a the greatest integer function. In other words, the value of the function will be the greatest integer less than or equal to x.

1) Left

So we have the limit:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}[/tex]

Note that since we're coming from the left, the values are 2.9, 2.99, and 2.999...

As I mentioned previously, the floor function outputs the greatest integer less than or equal to x.

With 2.9, 2.99, and 2.999, the greatest integer less than or equal to x is 2.

Therefore:

[tex]=\sin{\frac{\pi}{2}[/tex]

Simplify:

[tex]=1[/tex]

So:

[tex]\lim_{x\to3^-}\sin{\frac{\pi}{\floor[x]}=1[/tex]

2) Right:

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}[/tex]

Since we're coming from the right this time, the values are going to be 3.01, 3.001, 3.001.

And, the greatest integer less than or equal to 3.01, 3.001, and 3.001... is 3.

Therefore:

[tex]=\sin{\frac{\pi}{3}[/tex]

Simplify:

[tex]=\frac{\sqrt3}{2}[/tex]

So:

[tex]\lim_{x\to3^+}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

At 3:

So we have:

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}[/tex]

The greatest integer of 3 is just 3. So:

[tex]=\sin{\frac{\pi}{3}\\[/tex]

Simplify:

[tex]=\frac{\sqrt3}{2}[/tex]

So:

[tex]\lim_{x\to3}\sin{\frac{\pi}{\floor[x]}=\frac{\sqrt3}{2}[/tex]

Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8} 4 2 3 ÷ 4 8 4 2 3 ÷ 4 8 4 2 3 ÷ 4 8

Answers

Answer:

Well the real answer is 1st 2nd and 5th

Step-by-step explanation:

Just took the quiz

Huda evaluated the expression below. Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34. What was Huda's error? Huda evaluated (3) squared incorrectly. Huda found the product of –3 and 9 as positive. Huda subtracted –7 from 27 incorrectly. Huda did not follow the order of operations.

Answers

Answer:

Huda found the product of –3 and 9 as positive.

Step-by-step explanation:

Given the expression and result below :

Huda evaluated the expression below. Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34

-3(8 - 5)² - (-7) =

Step 1:

- 3(3)² - (-7)

Step 2:

-3(9) - (-7)

Step 3:

27 - (-7) = 34 (error in the third step)

-3(9) = - 27

Hence,

-27 - (-7) = - 27 + 7 = - 20

Answer:

its B on edge

Step-by-step explanation:

I just took the test

Express the following fraction into a decimal
- 5/9

Answers

Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

What is the solution to the inequality below?
X^2>=81

Answers

Answer:

A. x ≤ - 9 or x ≥ 9

Step-by-step explanation:

x² ≥ 81

| x | ≥ 9

x ≥ 0 => x ≥ 9 => x ∈ [ 9 ; + oo)

x < 0 => x ≤ - 9 => x ∈ ( -oo ; - 9 ]

x ∈  ( -oo ; - 9 ] ∪ [ 9 ; + oo)

Which of the following is the correct formula for distance?(1 point) d=(x2−x1)+(y2−y1)−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and (x2,y2). d=(x2+x1)2+(y2+y1)2−−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and (x2,y2). d=(x2−x1)2+(y2−y1)2, where d is the distance between points (x1,y1) and (x2,y2). d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√, where d is the distance between points (x1,y1) and

Answers

Answer:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?​

Answers

Answer:

$8460

Step-by-step explanation:

So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.

So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.

So 8000 + 460 = 8460.

Thus, the total price of the car would be $8460.

Cheers.

Answer: $8,460

Step-by-step explanation: If you multiply the cost of the car by the sales tax you get your answer. Hope this helps!

12 14 22 14 18 23 42 13 9 19 22 14
what is the mean

Answers

Answer: 18.5

Step-by-step explanation:

The way to find the mean of a data set is to add up all the values and then divide by the number of data points.

First add up all of the values. 12+14+22+14+18+23+42+13+9+19+22+14=222.

Now count how many data points there are. There are 12 data points.

Finally, divide the sum you got by the number of data points. 222/12=18.5

If one bus takes 15 minutes to refill diesel in the tank than 4 buses will take how many minutes to refill

Answers

Answer:

1-->15 min

4-->x min

Step-by-step explanation:

x=15×4=60

4 buses will take 60 min to refill

In hours, 60min÷60=1 hour

Answer:

Step-by-step explanation:

x=15×4=60

4 buses will take 60 min to refill

In hours, 60min÷60=1 hour

E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} A={x:x is a multiple of 3} B={x:x is a factor of 24} C={x:x is an odd number} (i) Find (a) n(B),

Answers

B={1,2,3,4,6,8,12,24}

n(B)=8

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{3 \:  ,  \: 6 \:  ,  \: 12}}}}}[/tex]

Step-by-step explanation:

Given,

E = { 1 , 2 , 3 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 }

Here, E is the universal set.

A = { x : x is a multiple of 3 }

Here, we have to list the multiples of 3 less than 16

A = { 3 , 6 , 9 , 12 , 15 }

B = { x : x is a factor of 24 }

Here, we have to list the factors of 24 less than 16 }

Factor of 24 means the numbers that can divide 24 easily.

Factor of 24 includes :

B = { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

C = { x : x is an odd number }

Here, we have to list the odd numbers which are less than 16

C = { 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 }

Finding A B

Here, We have to find the common elements that are present in both A and B

{ 3 , 6 , 9 , 12 , 15 } ∩ { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

= { 3 , 6 , 12 }

Hope I helped!

Best regards!!

20 POINTS !!!

Find the distance between the points (3,-4) and (5, 4)

Answers

Answer:

[tex]d=2\sqrt{17}\approx8.2462[/tex]

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(5-3)^2+(4--4)^2[/tex]

Simplify:

[tex]d=\sqrt{(2)^2+(8)^2[/tex]

Square:

[tex]d=\sqrt{4+64}[/tex]

Add:

[tex]d=\sqrt{68}[/tex]

Simplify:

[tex]d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}[/tex]

Simplify:

[tex]d=2\sqrt{17}\approx8.2462[/tex]

Answer:

[tex]\boxed{2\sqrt{17}}[/tex]

Step-by-step explanation:

To find the distance between two points, we use the distance formula. The distance formula is:

[tex]\boxed{d=\sqrt{(x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2}}}}[/tex]

Therefore, we can label our coordinate pairs and solve for d.

Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is [tex](x_{1}, y_{1}) \text \: {and} \: (x_{2}, y_{2})[/tex]. Therefore, we can implement the distance formula and solve.

[tex]\sqrt{(5-3)^{2}+(4-(-4))^{2}}\\\\\sqrt{(2)^{2}+(8)^{2}}\\\\\sqrt{4 + 64} \\\\\sqrt{68} \\\\\boxed{2\sqrt{17} }[/tex]

Something that represent today’s culture ( sum that isn’t tech or social media)

Answers

It depends on which culture you're looking at to be honest. But in the current environment, one item that is fairly prevalent is the coronavirus facemask. You could say it symbolically represents the idea of trying to stay safe and it represents a new norm (that many may consider strange since people are used to seeing each other's faces).

X² + 9x + 4 = FACTORISE

Answers

Answer:

[tex]$-\frac{1}{4} (-2x-9+\sqrt{65})(2x+9+\sqrt{65})$[/tex]

Step-by-step explanation:

We have a second-degree polynomial:

I will find the roots (y = 0) completing the square:

[tex]$x^2+9x+\frac{81}{4}-\frac{81}{4}+4=0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +4 =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +\frac{16}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{65}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\frac{65}{4} $[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\pm \sqrt{\frac{65}{4} } $[/tex]

[tex]$x =-\frac{9}{2} \pm \frac{\sqrt{65} }{2} $[/tex]

[tex]$x =\frac{-9 \pm \sqrt{65} }{2} $[/tex]

[tex]$\boxed{x_1 =\frac{-9 + \sqrt{65} }{2}} $[/tex]

[tex]$\boxed{x_2 =\frac{-9 - \sqrt{65} }{2}} $[/tex]

4b+4<4(5-3b) how do u break this down to get the right answer​

Answers

4b+4<20-12b

16b<16

b<1 olur.

İYİ DERSLER!

Answer:

See answer in the image below.

Spackle paint supply had a beginning inventory of 10 cans of paint at 25 per can. They purchased 20 at 30 per can. They had an ending inventory valued 500. How much paint in dollars was used for the month

Answers

Answer:

The total number of paints used for the month = $350

Step-by-step explanation:

Given that:

Spackle paint had a beginning inventory of 10 can of paint at $25 per can =

10× $25 = $250

They purchased 20 at $30 per can.

The amount of the 20 purchased can = 20 × $30 = $600

The total inventory for this supply = $600 + $250

= $850

They had an ending inventory valued 500.

The total number of paints used for the month = total inventory  - ending inventory

The total number of paints used for the month = $850 - $500

The total number of paints used for the month = $350

I'm confused about what the expression is.

Answers

Answer:

4(x+y)

Step-by-step explanation:

x+y is one side length and there are 4 side lengths.

Example of a function and why?

Answers

Answer:

f(x) = x + 2

Step-by-step explanation:

If we graph x + 2, we can see that it passes the Vertical Line Test. Each x-value only has 1 y-value.

+3х2+3x2

What is that answer simplified?

Answers

I think the answer will be 12

What is the value of the expression below when z = 2? 4z2 – 3z – 4​

Answers

Answer:

6

Step-by-step explanation:

[tex]4z^2 - 3z - 4​\\z =2[/tex]

Substitute 2 for z in the given equation

[tex]4(2)^2 - 3(2) -4\\[/tex]

Follow the PEMDAS order of operations

[tex]\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6[/tex]

Answer:

Step-by-step explanation:

Plug in z = 2 in the expression

4z² - 3z - 4 = 4*2² - 3*2 -4

                 = 4*4 - 6 - 4

                 = 16 - 6 - 4

                 = 10 - 4

                 = 6

-9(2+3x) distributive property

Answers

You would multiply -9 by 2 and 3x. So it would be -9•2=-18. Then -9•3x=-27x. Hope this helped!

Answer: -18 - 27x, or -27x - 18

1. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

Expand

[tex]-27x-18[/tex]

2. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

please answer please!!!! Will mark brainliest for complete answer. -the first photo is to calculate the area. Just question number 7 a and b i). And question number 8.

Answers

Triangle:
Area = 1/2*b*h
= (1/2)*3*4
= 3*2
= 6 m^2


7a.
1cm^3
Or, 1cm * 1cm * 1cm
Or, 10mm * 10 mm * 10 mm
Or, 1000 mm^3

7b.i)
10 cm^3
Or, 10cm * 1cm* 1cm
Or, 100mm * 10mm * 10mm
Or, 10000 mm^3

8.)
Volume = 50 cm^3
Base area= 5 cm^2
Now,
Volume = area * height
Or, 50 = 5 * height
Or, height = 50/5
Or, height = 10 cm

Plz mark this as the brainiest. :)

given:x+2<-5. choose the solution set.

Answers

Step-by-step explanation:

x+2<−5

Step 1: Subtract 2 from both sides.

x+2−2<−5−2

x<−7

Answer:

x<−7

Solve for x.
45+ Go +1) =
2x

Answers

Answer:

x=  [tex]\frac{1}{2}[/tex]go+23

Step-by-step explanation:

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