how is solving |ax| + b = c different from solving |ax+b| = c?

Answer:

[tex] \sf \large \: x≥ \frac{7}{2} or x≤ \frac{3}{2}[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

5−3(|2x−5|)≤−1

−3(|2x−5|)+5≤−1

Step 1: Add -5 to both sides.

−3(|2x−5|)+5+−5≤−1+−5

−3(|2x−5|)≤−6

Step 2: Divide both sides by -3.

−3(|2x−5|)/−3 ≤ −6/−3

|2x−5|≥2

Step 3: Solve Absolute Value.

|2x−5|≥2

We know either2x−5≥2or2x−5≤−2

2x−5≥2(Possibility 1)

2x−5+5≥2+5(Add 5 to both sides)

2x≥7

2x/2 ≥ 7/2

(Divide both sides by 2)

x≥7/2

2x−5≤−2(Possibility 2)

2x−5+5≤−2+5(Add 5 to both sides)

2x≤3

2x/2 ≤ 3/2

(Divide both sides by 2)

x≤ 3/2

The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is  - e.

What is slope?

[tex]l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C[/tex]

Yy = mx + c

[tex]m = \frac{- Delta H_{vol} }{R}[/tex]

m = slope

Ans = - e

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Answer:

- 14

Step-by-step explanation:

You can substitute the given values into the expression.

b - 3x

= -2 - 3(4)

= -2 - 12

= - 14

Hope this helped! ^^

Answer:

give the other person the brainliest the answer is -14

Step-by-step explanation:

Answer: The name of the algebraic expression is polynomial.

Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .

A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.

similarly;

algebraic expression which is having only one term is known as a monomial. example: 5x,10y.

an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.

example: 8x³y - 11x²y² + xy³ +17.

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Answer:

Step-by-step explanation:  algebric expression of degree4.

A balanced chemical equation for this reaction  is given as

NO2(g)+NO3(g)→N2O5(g)

This is further explained below.

Generally, A chemical reaction occurs that takes place when two or more molecules contact with the appropriate orientation and sufficient force to generate a new product.

This process is referred to as a chemical reaction. During this procedure, atomic bonds are both broken and formed in the course of the operation.

Synthesis, decomposition, from another, and double displacement reactions are the four primary categories of chemical reactions. Synthesis is the process of creating new molecules from existing ones.

In conclusion, A balanced chemical equation for this reaction  is given as

NO2(g)+NO3(g)→N2O5(g)

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Answer:

An angle measures 26° more than the measure of its complementary angle.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The inequality graphed matches the graph on the answer choice D.

Hope this helps <3

The cycle route  for the triathlon is of 26 miles

A triathlon is an athletic event which involves races which involves of swimming, cycling, and running over various distances

According to the given data,

The most common triathlon distance for Bicycle route is 40 kilometers

1 mile = 1 .6 kilometer

Now we know that 1.6 kilometer is 1 mile

So we are required to convert kilometers of triathlon race into  miles

Therefore, 40 kilometers in mile will be= 40/1.6 = 25 miles

Hence the cycle route is of 26 miles .

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The statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.

It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.

The question is incomplete.

The complete question is:

Which statement is true regarding a 95% confidence interval?

a) A 95% confidence interval indicates that 95% of the data will not be related to the population mean.

b) A 95% confidence interval indicates that the null hypothesis will not be rejected 5% of the time.

c) A 95% confidence interval indicates that 5% of the data will always be rejected.

d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values.

If a population means is within a certain range of values, it is 95% certain that it is within that range, according to a 95% confidence interval.

Thus, the statement "d) A 95% confidence interval indicates that there is 95% certainty that a population means lies in a given range of values" is correct.

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The population is growing as the births are more than deaths in an year.

Increases in a population's or a dispersed group's membership are referred to as population growth.

Given:

To find: Is population growing or shrinking?

Finding:

Hence the population is growing as the births are more than deaths in an year.

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We get that the solution to this scenario will be 50 t-shirts and 59 yearbooks.

Selling price of t shirts = $ 20

Selling price of year books = $ 24.

Let the number of t shirts sold be x and the number of yearbooks sold be y.

Goal to sell at least = $ 2400 in merchandise.

So, we get the equation as:

20 x + 24 y ≥ 2400

5 x + 6 y ≥ 600

Now, we are given some options:

50 t-shirts and 59 yearbooks

Substituting it, we get that:

5 ( 50) + 6 ( 59) ≥ 600

250 + 354 ≥ 600

604 ≥ 600

which is true.

51 t-shirts and 57 yearbooks

Substituting it, we get that:

5 ( 51) + 6 ( 57) ≥ 600

255 + 342 ≥ 600

597 ≥ 600

which is not true

60 t-shirts and 48 yearbooks

Substituting it, we get that:

5 ( 60) + 6 ( 48) ≥ 600

300 + 288 ≥ 600

588 ≥ 600

which is not true

62 t-shirts and 48 yearbooks

Substituting it, we get that:

5 ( 62) + 6 ( 48) ≥ 600

310 + 288 ≥ 600

598 ≥ 600

which is not true.

Therefore, we get that the solution to this scenario will be 50 t-shirts and 59 yearbooks.

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Answer:

50 tshirts and 59 yearbooks is the correct answer.

Step-by-step explanation:

Step-by-step explanation:

a is 5, b is 24, c is 2 and d is 2

Answer:

Starting from the left, the points are plotted as:

-4.5, -√16,-4, √1, 80/25, 7/2.

90 different two-scoop ice cream cones we can make.

To find how many different two-scoop ice cream cones can you make:

Therefore, 90 different two-scoop ice cream cones we can make.

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Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:

N = 8, k = 5, n = 3, x = 3.

Hence the probability is given by:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,8,3,5) = \frac{C_{5,3}C_{3,0}}{C_{8,3}} = 0.1786[/tex]

0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

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Answer:

1.(x-3)(x-5)

2.(y+2)(y+9)

3.(x+4)(x-5)

4.(x+1)(x+7)

5.(n-7)(n+8)

If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.

The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:

V= πr²h/3

Here, V is the volume of the cone, r is the radius of the cone and h is the height.

This equation can be rearranged to find the value of height as follows,

h=3V/πr²

Now, add the given values to the equation,

h= 3(96)/π(6²)

h= 288/π(36)

As π = 3.14

h= 288/3.14(36)

h= 288/ 113.04

h= 2.55 cm

Thus, the height of the cone is calculated to be 2.55 cm.

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Approximately 99.7% of the data fall within three standard deviations of the mean.

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

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Answer:

Step-by-step explanation:

Answer: -15x+30

Step-by-step explanation:

-3(5x-10)=

-3*5x-10(-3)=

-15x-(-30)=-15x+30

Answer:

-15x-30

Step-by-step explanation:

Just multiply -3 by 5 in 5x and get -15 and then put x back with -15. thhen multiply -3 by 10 and get -30

Answer: B(-2,-7)

Step-by-step explanation:

[tex]\displaystyle\\M(x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2}) \\\\x_A=2\ \ \ \ x_M=0\ \ \ \ y_A=-1\ \ \ \ y_M=-4\\\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of \ the \ equation\ by\ 2:\\2x_M=x_A+x_B\\\\\Rightarrow\ x_B=2x_M-x_A\\\Rightarrow \ x_B=2(0)-2\\\Rightarrow\ x_B=0-2\\\Rightarrow\ x_B=-2\\Similarly,\\y_B=2y_M-y_A\\y_B=2(-4)-(-1)1\\y_B=-8+1\\y_B=-7\\Thus,\\B(-2,-7)[/tex]

Answer:

19. B

20. G

Step-by-step explanation:

19. De pendant Variable is the variable that changes relative to some other variable. In other words its dependent on some other variable and its value changes with that other variable (the independent variable)

In this case the daily cost of the rental car is dependent on the miles driven.

20. The pair will be on the graph if it satisfies the given equation. In other words if i plug in a given x or y, i should get the same x or y.

In this case, for F, if i plug in x=1, the equation gives me y=12 which is not the value of the ordered pair. It is the value of G, thus G is on the graph

Answer:

9

Step-by-step explanation:

The number 9 is in the hundredths place!

From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!

Answer:

quadrant I

Step-by-step explanation:

because both numbers are positive and quadrant I is the only one that has positive numbers on the y and x axis.

Answer:

C. Quadrant 1

Step-by-step explanation:

if both X and Y are positive, then the point lies in the Quadrant I.

Step-by-step explanation:

18.

[tex] = { ({x}^{2}) }^{ - 3} .2 {x}^{3} [/tex]

[tex] = {x}^{2 \times ( - 3)} .2 {x}^{3} [/tex]

[tex] = {x}^{ - 6} .2 {x}^{3} [/tex]

[tex] = 2 {x}^{ - 6 + 3} [/tex]

[tex] = 2 {x}^{3} [/tex]

[tex] = \frac{2}{ {x}^{3} } [/tex]

[tex] \: [/tex]

19.

[tex] = {(2m)}^{2} . {(3 {m}^{3} )}^{2} [/tex]

[tex] = {2}^{2} {m}^{2} . {3}^{2} {m}^{3 \times 2} [/tex]

[tex] = 4 {m}^{2} .9 {m}^{6} [/tex]

[tex] = (4 \times 9) {m}^{2 + 6} [/tex]

[tex] = 36 {m}^{8} [/tex]

Osvoldo did not meet his goal of getting at least 30% carbohydrates

Although a part of your question is missing, you might refer to this full question: Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains. Did Osvoldo meet his goal?

Total carbohydrates he ate = 220 grams

Carbohydrates intake from whole grains = 55 grams

Percentage of carbohydrates in whole grains = (Carbohydrates from whole grain/Total carbohydrate intake)*100

=(55/220)*100

=0.25*100

=25%

Osvoldo got 25% carbohydrates as against his goal of at least 30% carbohydrates

Hence, he did not meet his goal of getting at least 30% carbohydrates

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Answer: 7.333

Step-by-step explanation:

first move the three over 47-3 = 6y

the divide by - 6 to get y by itself 44/-6 = y

The probability value indicates that there is statistical significance in 0.0345 option (a) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

As we know,

Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in addition to preset levels of confidence when testing the claim.

The value 0.0345 < 0.05

The probability value of 0.0345 indicates that there is statistical significance

Thus, the probability value indicates that there is statistical significance in 0.0345 option (a) is correct.

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The cost of Green fees for each person is $16.

As per the question statement, Sergio went golfing with 3 other friends and two of them rented clubs for $6 each, the total cost of the rented clubs and the green fees  being $76.

We are required to calculate the cost of Green fees for each person.

Let us assume that the cost of Green fees for each person is "x".

We will now form a linear equation of single variable "x" based on the conditions mentioned in the question statement, and solving for x, we will obtain our desired answer.

[tex][4x+(2*6)]=76\\or,4x+12=76\\or, 4x=76-12\\or, 4x=64\\or, x=\frac{64}{4}=16[/tex]

That is, the cost of Green fees for each person is $16.

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