Twice a number, increased by one, is between negative three and seven. find all the numbers.

Answers

Answer 1

Final answer:

To solve the inequality -3 < 2x + 1 < 7 for the number x, subtract 1 from all parts and then divide by 2. The solution is the range of numbers greater than -2 and less than 3.

Explanation:

The problem statement here results in an inequality that can be expressed algebraically. If 'x' represents the unknown number, we can write the inequality as -3 < 2x + 1 < 7.

To solve for 'x', we will isolate the variable on one side by following the rules of inequalities similar to solving equations.

First, subtract 1 from all parts of the inequality to get the pure inequality without a constant.

-4 < 2x < 6

Now, divide all parts of the inequality by 2, which yields:

-2 < x < 3

All numbers greater than -2 and less than 3 satisfy the original problem statement. Therefore, the range of numbers that solve the inequality is from -2 to just below 3.

Related Questions

bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal

Answers

Given that Bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye.

Given the table below that gives the probabilities of outcomes.

[tex]\begin{tabular} {|c|c|c|c|c|} \bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\ \bold{Probability}&0.036&0.297& 0.423&0.244 \end{tabular}[/tex]

The probability that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72

Therefore, the probability that Bill will get the next arrow in the inner or outer ring is 0.72

The letters A, B, C, D, E, F, G, H, I, and J are written on slips of paper and placed in a hat. Two letters are then drawn from the hat. What is the probability that the letters chosen would be only B, C, D, or F?

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the answer would be 4 out of 9 because you are choosing four letters out of the total nine

40% percent is the answer i believe

When the mean, median, and mode are not in the same place, the distribution is:?

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the distribution will be absolutely asymmetrical in nature

Final answer:

When the mean, median, and mode are not located at the same point, the distribution is skewed, either to the left (negatively skewed) or to the right (positively skewed).

Explanation:

When the mean, median, and mode are not in the same place, the distribution is known to be skewed. If the mean is less than the median, which is often less than the mode, the distribution is skewed to the left (or negatively skewed). Conversely, if the mode is less than the median, which is less than the mean, the distribution is skewed to the right (or positively skewed). Skewness indicates that the data is not symmetrically distributed and reflects the direction of the tail where the values trail off more.

In symmetrical distributions, the mean, median, and mode are all located at the same point, typically at the center of the distribution. However, when the values are not symmetrical, it indicates a skew. For example, in a data set with the values 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, the distribution is not symmetrical since it is skewed to the left, with a higher frequency of higher values.

Thus, understanding the relationship among the mean, median, and mode helps in recognizing the type of distribution and in making inferences about the data set.

Which choices are equivalent to the quotient below? Check all that apply √75/√15 A. 5 B. √25/√5 C. 15/3 D. √5 E. √3 F. √15/√3

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Answer:

sqrt15/3, sqrt 5, sqrt 25/5

Step-by-step explanation:

aye pex

Explain how to use the grid method for multiplying binomials

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Let's say we had to multiply the two binomials (x + 1)(x + 2). We could use the grid method or FOIL, but we will use the grid method for now. Here is how you do it:
1. Identify all the terms in the expression:
x, 1, x, 2
2. Align the terms in a grid-like fashion according to their binomials:
x 1
x
2
3. Now, multiply all the terms together (ex. x × x is x²)
x 1
x x² 1x
2 2x 2
4. Put all products in decreasing order:
x²+1x+2x+2
5. Combine Like Terms (CLT):
x² + 3x + 2
Therefore, the answer is x² + 3x + 2. As you can see, the grid method is figuratively long, and the FOIL method is definitely recommended. Hope this helped!

What are the roots of the polynomial equation? 0= x^2 +18x+45

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X²+18x+45
First factor 45
Second you have (x+3)(x+15)
Third to find you zeros in this form it will be x=-3 and x=-15
Because it would be the opposite pf those numbers in the factored form

Answer:

-15 and -3

Step-by-step explanation:

The final balance in an account that has a monthly fee and automatic monthly deposits is given by the expression. The initial account balance is $1200.

150x−4.99x+1200

What does the expression 150x−4.99x represent?

a.the final balance

b.the monthly balance change

c.the initial balance

d.the monthly fee total

i got b

Answers

I am pretty certain you are correct. 150x represents the deposit and 4.99x represents the monthly fee. Overall you can conclude that is the monthly change.

Above answer is correct, I took the test.

answer: the monthly balance change

The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below. If x = 12 cm, what is the volume of the prism?

Answers

V = 2x^3 + 6x^2
x = 12

V = 2(12^3) + 6(12^2)

V = 2(1728) + 6(144)

V = 3456 + 864

V = 4320

The volume of the prism is 4320 cubic units

The expression for the volume is given as:

V = 2x^3 + 6x^2

When x = 12, the expression becomes

V = 2 * 12 ^3 + 6 * 12^2

Evaluate the exponent

V = 2 * 1728 + 6 * 144

Evaluate the products

V = 3456 + 864

Evaluate the sum

V = 4320

Hence, the volume of the prism is 4320 cubic units

Answers

about 35 years is answer

Which of the following are NOT sufficient to prove that a quadrilateral is a parallelogram? I. Two pairs of opposite angles congruent. II. A pair of adjacent angles are supplementary. III. Both pairs of opposite sides are congruent. IV. A pair of opposite angles congruent and a pair of opposite sides congruent. V. Both pairs of opposite sides are parallel. VI. A pair of opposite sides parallel and the other pair of opposite sides congruent. VII. One pair of opposite sides are both parallel and congruent. VIII. The diagonals bisect each other. A. IV and VII only B. II, VI, and VII only C. II and VI only D. II, IV, and VII only

Answers

To separate/divide into two equal section/halves

A pair of adjacent angles being supplementary, a pair of opposite angles congruent and a pair of opposite sides congruent, and one pair of opposite sides being both parallel and congruent are not sufficient conditions on their own to prove that a quadrilateral is a parallelogram.

Among the given statements concerning the characteristics that are sufficient to prove a quadrilateral is a parallelogram, the following are NOT sufficient on their own:

A pair of adjacent angles are supplementary (statement II).

A pair of opposite angles congruent and a pair of opposite sides congruent (statement IV).

One pair of opposite sides are both parallel and congruent (statement VII).

While having a pair of adjacent angles that are supplementary is common in parallelograms, it alone does not guarantee that a quadrilateral is a parallelogram, as many quadrilateral types can have supplementary adjacent angles. Similarly, having just one pair of opposite angles and one pair of opposite sides congruent doesn't necessarily make a quadrilateral a parallelogram, as these characteristics could describe a kite or other quadrilaterals as well. The condition of one pair of opposite sides being both parallel and congruent, although a property of parallelograms, is not by itself a conclusive proof, as there may need to be additional information to rule out other shapes like rectangles.

Correct Answer: B. II, VI, and VII only

What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?

Answers

so, we know the center is at -3,-1, ok

hmmm what's the radius anyway? well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point? well, is the radius, let's check then.

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ -1}})\quad % (c,d) &({{ 1}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2} \\\\\\ r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5[/tex]

so, what's the equation of a circle with center at -3, -1 and a radius of 5?

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{\quad k}})\qquad radius=&{{ r}}\\ &-3&-1&5 \end{array} \\\\\\\ [x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25[/tex]

Answer:

(x + 3)^2 + (y + 1^)2 = 25

Step-by-step explanation:

The distance formula gives the length of the radius:

r = √(-3-1)^2 + (- 1-2)^2 = √25 = 5

Substituting h = -3, k = -1, and r = 5 into the standard form (x - h)2 + (y - k)2 = r2, you get (x + 3)2 + (y + 1)2 = 52 = 25.

edmentum :)

Question 3 e and f are sets of real numbers defined as follows.

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Real number are the numbers starting from negative infinity to positive infinity (...-5,-4,-3,-2,-1,0,1,2,3,4,5...). e and f are sets of real number implies that these are two sets consisting of rwal numbers. e={4,54,-5,8,-9} f={5,4,-3,-5,0}

Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?

Answers

25c - 0.05(25c) = T....when T = 66.50

25c - 1.25c = 66.50
23.75c = 68.50
c = 68.50 / 23.75
c = 2.88

The best quality of editing she can get is basic Proofreading

In a couple of sentences and your own words describe how to re-write an expression that's in radical form into an expression with rational exponents?

Answers

In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.

Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.

Example:
√(x³) = square root of x³ = x^(3/2)

For what value of b does

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There's no solution.

There is no solution because the result on the left hand side is 12² since the b terms cancel out, and 12² is not equal to 12.
Note that (1/12)^-2b is the same as 12^2b. When we add the exponents we get 2b-2b+2=2, hence 12² on the left.

Which equations represent hyperbolas?
A) 2x2 + 16x + 2y2 + 14y − 9 = 0
B) 2x2 + 4x − 5y2 − 10y + 57 = 0
C) -x2 + 5x − 7y2 + 2y − 81 = 0 d) x − 2y2 + 4y + 15 = 0
E ) -x2 + 12x + 3y2 + 7y + 11 = 0

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D is the answer I hope this helps

Answer:

Step-by-step explanation:

Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)

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y - 5x = 10 can be written in the slope-intercept form as
y = 5x + 10

The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.

In this case, the 5 is the slope.

Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is

y = 5x + b

We need to find what b is.

We can use the given point, (3, 10), in for x and y and solve for b.

10 = 5 * 3 + b

10 = 15 + b

-5 = b

Now that we know that b = -5, we replace b with -5 to get our equation

y = 5x - 5

The equation of the required line is [tex]y=5x-5[/tex].

Given:

The eqation of paralle line is [tex]y-5x=10[/tex]. The required line passes through the point [tex](3,10)[/tex].

To find:

The equation of the required line in slope-intercept form.

Explanation:

The given equation can be rewritten as:

[tex]y=5x+10[/tex]

On comparing this equation with [tex]y=mx+b[/tex], we get

[tex]m=5[/tex]

Slopes of parallel lines are always equal.

The slope of reqired line is [tex]m=5[/tex] and it passing through the point [tex](3,10)[/tex]. Using the point slope form, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-10=5(x-3)[/tex]

[tex]y=5x-15+10[/tex]

[tex]y=5x-5[/tex]

Therefore, the equation of the required line is [tex]y=5x-5[/tex].

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A bread recipe calls for 1/3 cup of white flour and 2 3/4 cups of whole wheat flour. What is the total amount of flour needed?

Answers

the total amount of flower would be 37/12 or 3 1/12

[tex] \frac{1}{3} + 2 \frac{3}{4} = 3 \frac{1}{12} [/tex]

Translate the variable expression into a word phase
2 x (3 - x)

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two multiplied by the difference of 3 and a number

Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.

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trace paid 0.3(30) percent of the original price

You are ordering pizzas for a birthday party and getting them delivered to your house. you order 12 pepperoni pizzas, 8 cheese pizzas, and 4 hawaiian pizzas. there is a delivery fee of $5.50 if your total comes to 184.54. how much was each pizza

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To clarify: is each pizza the same cost? Is the total cost with the delivery fee 184.54?

The answer would be $7.46. If you subtract the delivery fee then divide by how much pizzas there are you would find the amount per each pizza.

what is 0.81% written as a decimal

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It would be 0.081
Hope it helped! Have a great day

In order to make 0.81% into a decimal, we need to divide 0.81 by 100 and we get our answer.

Answer: 0.0081

Quadrilateral ABCD is shown on the grid. Jonah finds the length of the sides of the quadrilateral before finding the perimeter. Which statement is true about the length of the sides of quadrilateral ABCD? Side CD has a length of units. Side BC has a length of units. Side DA has a length of 5 units. Side AB has a length of 6 units.

Answers

The correct option is B. Side BC has a length of √10 units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that Quadrilateral, ABCD is shown on the grid. Jonah finds the length of the sides of the quadrilateral before finding the perimeter.

The length of side BC will be calculated by using the distance formula:-

D = √ [ ( 3 - 2 )² + 4 - 1 )² ]

D = √ ( 1 + 9 )

D = √10

Therefore, the correct option is B. Side BC has a length of √10 units.

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Kate has some dimes and quarters. if she has 1919 coins worth a total of $2.95, how many of each type of coin does she have?

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She has 12 dimes and 7 quarters

The length of a rectangle is 55 meters longer than the width. if the area is 2929 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter.

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width = w
length = L = (w + 55)
w * (w + 55) =2,929 sq meters
w^2 +55w -2,929,= 0
width = 33.206 = 33.2 meters (rounded)
Length = 33.2 + 55 = 88.2 meters

Select all that apply. If p is a statement, which of the statements is the negation of p. not p. and p. p is false. or p. p is true.

Answers

Hard to understand what's asked here just by how it's written but byt the looks of it A and C should work

Help this is urgent due tomorrow... The lowest price for a play is $15 and the highest ticket price is $45. Write and graph a compound inequality that describes the price of all tickets for the play.

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{x l 15 ≤ x ≤ 45} is the compound inequality

X= -75/y; X=6
what's the answer & how do u solve this?

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Hello Maryam!

[tex]x = \frac{-75}{y} For x = 6 Well, first replace x by 6 6 = -75/y Cross multiply 6*y = -75 6y = -75 Divide both sides by 6 to find y 6y/6 = -75/6 y= -25/2 Best of luck with your studies! [/tex]

Using a six-sided die, what is the probability of rolling either a 5 or a 6?

Answers

The probability would be 1/6 for both.

The probability of rolling either a 5 or a 6 using a six-sided die is 1/3.

What is probability?

Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.

Now it is given that a six-sided die is rolled.

Total Number of outcomes = 6

To get either a 5 or a 6

So, Possible number of outcomes = 2

Since ,

Probability = Possible number of outcomes / Total Number of outcomes

⇒ Probability of rolling either a 5 or a 6 = 2/6

or, Probability of rolling either a 5 or a 6 = 1/3

Thus, the probability of rolling either a 5 or a 6 using a six-sided die is 1/3.

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a googol is a large number that is the digit one followed by one hundred zeros.if you multiply a googol by 100, how many zeros will that product have

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The product will have 102 zeroes since if you multiply any number like 1000,10, 10000, etc. then you just add zeroes to the end. If you multiplied a googol and 10 together, you add two more zeroes to the end of the number googol, making it have 102 zeroes.

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Twice a​ number, increased by one​, is between negative three and seven. find all the numbers.

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Twice a number, increased by one, is between negative three and seven. find all the numbers.