Solve the inequality and express your answer in interval notation.
-10 <-2x+6<-2
a. [-4,9]
C. [-4, 8]
b. [4, 9]
d. [4,8]
Please select the best answer from the choices provided
A
B
C
D

Answers

Answer 1

Answer:

[tex]\huge\boxed{(4,\ 8)}[/tex]

Step-by-step explanation:

[tex]-10<-2x+6<-2\qquad|\text{subtract 6 from all sides}\\\\-10-6<-2x+6-6<-2-6\\\\-16<-2x<-8\qquad|\text{change the signs}\\\\16>2x>8\qquad|\text{divide all sides by 2}\\\\\dfrac{16}{2}>\dfrac{2x}{2}>\dfrac{8}{2}\\\\8>x>4\to4<x<8\\\\\boxed{x\in(4,\ 8)}[/tex]


Related Questions

The figure below shows two parallel lines intersected by a third line. What is the value of x

Answers

Answer:

[tex] x = 20 [/tex]

Step-by-step explanation:

The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:

(4x)° = (x + 60)°

Use the equation to solve for the value of x

[tex] 4x = x + 60 [/tex]

Subtract x from both sides

[tex] 4x - x = x + 60 - x [/tex]

[tex] 3x = 60 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{60}{3} [/tex]

[tex] x = 20 [/tex]

Amy purchased several items at the grocery store: a gallon of milk for $3.49, a loaf of break for $2.19, d.
dozen eggs for $1.89, and a pound of coffee for $7.45. She lives in Florida, where there is no sales tax
on food. If Amy hands the cashier a $50-bill, how much change should she receive?
$35.02
o $34.94
$35.04
$34.98

Answers

Answer:

D) 34.98

Step-by-step explanation:

This is the answer and how I worked it out hope you understand

Amanda buys 4 tickets to a baseball game for $24. Which equation shows the closest estimate of the total amount Amanda spent?

Answers

You do 24/4= 6
You divide I hope this helps
I think it that but if not I am sorry good luck

Amanda spent 6 dollars for each ticket for a baseball game.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Total money spent = $24

Number of the tickets = 4

SO cost of each ticket will be:-

Cost = 24 / 4 =6

Therefore Amanda spent 6 dollars for each ticket for a baseball game.

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Find the truth value of (p ^ q) v r. (Make a truth table.)
p: (-4)2 > 0

q: An isosceles triangle has two congruent sides.

r: Two angles, whose measure have a sum of 90, are supplements.​

Answers

Answer:

p: (-4)2 > 0

q: An isosceles triangle has two congruent sides.

r: Two angles, whose measure have a sum of 90, are supplements.​

Step-by-step explanation:

p: (-4)2 > 0

q: An isosceles triangle has two congruent sides.

r: Two angles, whose measure have a sum of 90, are supplements.​

Can someone please help me with this as soon as possible

Answers

LP = HE

5x + 6 = 31

Subtract 6 from both sides

5x = 25

Divide both sides by 5

X = 5

Answer:

5x+6=31(opposite sides are equal)

5x=31-6

5x=25

x=25/5

x=5

hope it helps u

-2 (-x + 4) + 4x - 3 = 31​

Answers

Answer:

The value of x is 7.

Step-by-step explanation:

First, you have to expand the brackets and then, solve it :

[tex] - 2( - x + 4) + 4x = 31[/tex]

[tex]2x - 8 + 4x - 3 = 31[/tex]

[tex]6x - 11 = 31[/tex]

[tex]6x = 31 + 11[/tex]

[tex]6x = 42[/tex]

[tex]x = 42 \div 6[/tex]

[tex]x = 7[/tex]

The larger of two numbers is 3 less than the smaller number. If the sum of the numbers is 57. What are the two numbers?

Answers

Answer:b

Step-by-step explanation:

anyone know the answer to number 4?

Answers

answer my questions plz

Log Equation: Solve the following
Log5(4x+11)=2

Answers

Turn both sides into powers of 5:

[tex]\log_5(4x+11)=2\implies 5^{\log_5(4x+11)}=5^2\implies4x+11=25[/tex]

Solve for x :

[tex]4x+11=25\implies 4x=14\implies x=\dfrac{14}4=\boxed{\dfrac72}[/tex]

Answer:

x = 2 - log(48828125) / log(625)

x = -2.03466172

Step-by-step explanation:

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-16)^{\circ}∠A=(2x−16) ∘ and m\angle B=(5x+28)^{\circ}∠B=(5x+28) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

The measure of angle A is 32

Step-by-step explanation:

A+B=180

2x-16+5x+28=180

7x+12=180

7x=168

x=24

A=2(24)-16

A=48-16

A=32

Answer:

The dude above is right it's 32, I put it in and it's right :-)

Step-by-step explanation:

Which of the graphs represent a liner function?
Explain how you know.

Answers

Answer:

a. the slope is consistent through the line

Step-by-step explanation:

rise over run can be counted

Answer:

A

Step-by-step explanation:

Because it is a continuous line with no curves.

kaisa hai re baba translate this in English​

Answers

Answer:

Caesar also messed with dad

Step-by-step explanation:

Google translate

Change general form of hyperbola into standard: -x^2 + y^2 -16x + 14y - 251 = 0

Answers

Answer:

(y+7)²/364 - (x+8)²/364 = 1

Step-by-step explanation:

This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1

so, (y²+14y+?) - (x²+16x+?) = 251

(y²+14+49)-49 - (x²+16x+64)-64 = 251

(y+7)² - (x+8)² = 251 + 49 + 64

(y+7)² - (x+8)² = 364

(y+7)²/364 - (x+8)²/364 = 1

The previous exercises states that the distribution of speeds of cars traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. The speed limit on this stretch of the I-5 is 70 miles/hour. 5. A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other.

Answers

Answer:

The probability is [tex]P(X \le 70 ) = 0.7054 [/tex]

Step-by-step explanation:

From the question we are told that

The mean is [tex]\mu = 72.6 \ miles /hour [/tex]

The standard deviation is [tex]\sigma = 4.78 \ miles /hour[/tex]

The speed limit is [tex]x = 70 \ miles /hour[/tex]

Generally the probability that 5 cars pass and none are speeding is equivalent to the probability that the speed of the cars is less than x which is mathematically represented as

[tex]P(X \le x ) = 1 - P(X > x )[/tex]

Now

[tex]P(X > x) = P(\frac{X - \mu}{\sigma } >\frac{x - \mu}{\sigma } )[/tex]

Generally  

       [tex] \frac{X - \mu}{\sigma }   =  Z  (The  \  standardized \  value \  of  \  X)[/tex]

So

    [tex]P(X > 70) = P(Z >\frac{70 - 72.6}{72.6 }  )[/tex]

      [tex]P(X > 70) = P(Z > -0.54 )[/tex]

From the z-table  

           [tex] P(Z > -0.54 )  =  0.2946[/tex]

=>      [tex]P(X > 70) = 0.2946 [/tex]

So

    [tex]P(X \le 70 ) =  1 -  P(X > 70 )  [/tex]

=>  [tex]P(X \le 70 ) =  1 -  0.2946  [/tex]

=>  [tex]P(X \le 70 ) = 0.7054  [/tex]

Raisa’s office is on the sixth floor of a building. From her office, she took the elevator down eight floors to the parking garage. Which number represents the distance and direction of her trip from the parking garage to the ground floor of the building?

Answers

Answer:

8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

From her office to the parking floor is 8 steps down . 5 4 3 2 1, 0 , -1 ,-2

Ground level is 0 so from -2 to zero is -2 which absolute value is always positive so -2 turn into 2

How do you do this question?

Answers

Step-by-step explanation:

arctan(x) is less than π/2 for x > 0.  Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.

g(x) = 13 (π/2) / eˣ

g(x) = 13π/2 · (1/e)ˣ

So g(x) is a geometric series where r = 1/e.  Since |r| < 1, the series converges.

Since g(x) converges, the smaller f(x) also converges.

Molly loves making chicken nuggets. She makes 4 1⁄2 servings. Molly
places 3⁄4 of a serving on each plate. How many plates can she fill?

Answers

Answer:

5 1/4

Step-by-step explanation:

change 4 1/4 to 4 2/4

2/4+3/4= 5/4

4 + 5/4 = 5 1/4

The volume of a cube is 216 cubic inches. What is the length of each side of the cube?​

Answers

Answer:

6 inch

Step-by-step explanation:

If you remember the concept of how to find volume of cube then its pretty easy.

You find it by multiplying the length of one side by itself 3 times.

In this case we have to do opposite so we have to just find the cube root of 216 which is 6.

Pls make me brainliest if you find it helpful.

Answer:

The answer is 6 i know this because it said it was right on IXL but it may not be true

Step-by-step explanation:

Solve the inequality:

||x−3|−2|≤1

Answers

Answer:

Step-by-step explanation:

||x-3|-2|≤ 1

-1≤|x-3|-2≤1

-1+2≤|x-3|≤1+2

1≤|x-3|≤2

we break in two parts.

|x-3|≥1

so x-3≤-1

x≤3-1

x≤2 ...(1)

or x-3≥1

x≥4   ...(2)

|x-3|≤2

-2≤x-3≤2

-2+3≤x≤2+3

1≤x≤5  ...(3)

combining all three

1≤x≤2 ∪ 4≤x≤5

Find the area of the triangle be sure to include the correct unit in your answer

Answers

Answer:

120 cm squared

Step-by-step explanation:

[tex]Area \:of \:the\: triangle \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 24 \\ \\ = 12 \times 10 \\ \\ = 120 \: {cm}^{2} [/tex]

Answer:

(10×24)÷2 = 120cm²

Step-by-step explanation:

A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 2.

Answers

Answer:  1/6

Explanation: There is 1 side that has what we want (rolling a 2) out of 6 sides total.

4. Financial Literacy means to have the ability to understand how money works. *
True
False

Answers

Answer:

True

Step-by-step explanation:

The definition of Financial Literacy is:Financial literacy is the possession of the set of skills and knowledge that allows an individual to make informed and effective decisions with all of their financial resources.

I need help on 3-6 on page 10 I’ll give you brainliest

Answers

I believe 3 is c and 5 is d i’m not sure about 4 & 6

#3 is C, parallelogram is rotated -90° I think and moved down, so rotation and translation

#4 is B, I don't think the picture is showing how the fish loved, and it's facing a different way, so it's rotation

#5 is D, reflected over the x axis and translated to the right

#6 is B, reflected across the y axis

I hope these answers are correct, I'm answering right now at 3 am

Estimate the difference to the nearest hundredth 8.394-2.199

Answers

The subtraction between 8.394 and 2.199 is estimated as 6.2

Subtraction of Numbers

To subtract two or more values from one another, we simply take one of the value from the other. Subtraction is a mathematical operation in mathematics that is aimed at reducing the value of a quantity.

In this case, the subtraction of the two numbers will leave a decimal value.

This is because both number subtracting from one another are decimal numbers

8.394 - 2.199 = 6.195

However, the question clearly asked we estimate the difference between the two values.

What we need to do is round up or round down the numbers to the nearest significant number.

We round down 8.394 ≅ 8 .4

We round up 2.199 ≅ 2.2

Subtracting these two numbers from one another, we would have 6.2

Learn more on subtraction here;

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Given the graph of a function f(x). What is f(-4)?

Answers

Answer:

f (k)

Step-by-step explanation:

Here, we are required to determine the value of f(-4) given the graph of a function f(x) as in the attached image.

The value of f(-4) given the graph of the function f(x) as in the attached image is; f(-4) = 2.

The graph of the function f(x) is a curve, where x is the independent variable and f(x) is dependent on the value of x.

By observation, each box on the represents 1 unit on the x- and f(x) axis.

Ultimately, the point f(x) which corresponds to the point where x = -4 is; f(-4) = 2.

Therefore, f(-4) = 2 according to the graph of the function f(x) as given in the attached image.

Read more:

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Given regular pentagon ABCDE, what are the coordinates of vertex C?


a) (b, c)

b) (b, -c)

c) (-b, c)

d) (-b, -c)

Answers

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

The coordinate of the point C will be (b, c). Then the correct option is A.

What is regular pentagon?

The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.

The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.

If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.

In a regular pentagon, there are five line of symmetry.

In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.

The point C is in the first coordinate, then the abscissa and ordinate will be positive.

Then the coordinate of the C will be (b, c).

Then the correct option is A.

More about the regular pentagon link is given below.

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Between 11 P.M. and 8:36 A.M.​, the water level in a swimming pool decreased by 8 25 in. Assuming that the water level decreased at a constant​ rate, how much did the water level drop each​ hour?

Answers

Answer:

0.8594 in/hr

Step-by-step explanation:

Decreased in the water level is 8.25 in.

Time 11 P.M. and 8:36 A.M.  is 9 hr 36 min = 9.6 hr.

The rate of decreasing water level is constant.

So, [tex]\text{Rate}=\frac{\text{Level decreased}}{\text{Time taken}}[/tex]

[tex]\Rightarrow \text{Rate}=\frac{8.25}{9.6}=0.8594 in/hr[/tex].

Hence, the water level drop at the rate of 0.8594 in/hr.

Suppose there are 106 (1 million) asteroids that are 0.87 km in radius. If they were all combined into a single sphere, calculate the radius of this sphere in km.

Answers

Answer:

87km

Step-by-step explanation:

Volume is proportional to radius cubed, so radius is proportional to the cube root of volume.

Increase volume by a factor of 10^6 and radius increases by a factor of the cube root of 10^6, which is 10^(6/3) = 10^2 = 100.

100 * 0.87 km = 87 km

.
-x^4+25x^2 factor completely.

Answers

Answer:

-x^2(x + 5)(x - 5)

Step-by-step explanation:

x^2 is common to both terms of -x^4+25x^2:

x^2(-x^2 + 25)

and the binomial factor can be factored further:

x^2(x + 5)(-x + 5) or

-x^2(x + 5)(x - 5)

Evaluate the expression if r = 12 and t = -6.
(t-r)/3

Answers

Answer:

-6

Step-by-step explanation:

[tex]\frac{(t-r)}{3}[/tex]

input the numbers

[tex]\frac{(-6-12)}{3}[/tex]

do the problem in the parentheses first

-6-12 = -18

now it becomes

[tex]-\frac{18}{3}[/tex]

simplify and you'll get

-6

this is because -18 ÷ 3 =

-6

Answer:

-6

Step-by-step explanation:

-6-12 divided by 3 is -6 because -6-12 is -18 and -18 divided by 3 is -6

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