Which of the following expressions represents a nonlinear function?
A y = 7x + 2
By = 3x + 2
y= 5x + 1
Dy=2? + 5

\(3x - 2 = 19 \\ 3x = 19 +2 \\ x = \frac{21}{3} \\ x = 7 \)

Answer: There is no bolded or underlined number put i'll tell you the place values of each number:)

Step-by-step explanation:

892= 8 is in the 100 place, 9 is in the 10 place , and the 2 is in the ones place.

Same thing for 392 and 918

4123= the 4 is in the tousands place, the 1 is in the hundreds place, the 2 is in the 10 place, and the 3 is in the 1 place

Hope this helped :)

Answer:

The total cost of their purchases is 5s + 2p = 100

Step-by-step explanation:

I am going to say that:

The price of a sweater is s.

The price of a pair of pants is p.

Matt and Carla each spent $100 at the mall. Together they bought five sweaters and two pairs of pants

5 sweaters: 5s

2 pairs of pants: 2p

Total:

5s + 2p

Since the total is 100:

5s + 2p = 100

The total cost of their purchases is 5s + 2p = 100

Answer: x+3y+7

Step-by-step explanation:

Answer:

1,-2

Step-by-step explanation:

Answer: (1, -2)

Step-by-step explanation:

I hope this helps

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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Answer: One Real Solution

We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )

a=2,b=-4,c=2

Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac

Once we plug in our coefficients:

(-4)^2 - 4 x 2 x 2

Once we simplify, we get 0.

One real solution.

I hope this helps.

In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:

For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:

   Δ = b² - 4ac

In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:

By introducing these values into the formula we get:

         Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0

Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.

The density of the small rocks is 21 rocks per square feet.

To find the density of rocks per square feet, we need to take the quotient between the total number of rocks and the area covered.

We know that the patio has an area of 200 square feet, and the total number of rocks is 4200, then here we only need to take the quotient between these two values.

Density = (4200 rocks)/(200 ft²) =  21 rocks per ft²

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Complete question:

"Jen's patio has an area of 200 square feet. She is covering the area with 4200 small rocks.

What is the density of the rocks on the patio?"

The solution of x is x = 0, x =2 and x = -5

The equation is given as:

2x^3+6x^2-20x=0​

Factor out x

x(2x^2+6x-20)=0​

Split the equation

x = 0 or 2x^2+6x - 20=0​

Solve for x in 2x^2+6x - 20=0​

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

Solve for x

x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

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ANSWER

EXPLANATION

We want to find how much Juan needs to invest now to meet his target.

To do this, we have to apply the formula for the amount for a quarterly compounded interest:

where 4 represents 4 quarters in a year

P = principal or initial amount invested

r = interest rate

A = amount after t years

t = number of years

Therefore, substituting the given values into the equation, we have that:

Solve for P by dividing both sides by 2.70:

That is the amount that he needs to invest now.

Answer:  The answer is c

Part 1: the mean number of misprints per page is 0.3668 and Part 2: the probability that it has 3 misprints is 0.0560.

Part 1:

Using TI 84 calculator,

P(X > 39500) = normal cdf ( 39500 , 1000, 37764 , 5100)  

= 0.3668

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen

Part 2:

P ( X > 38700 ) = normal cdf ( 38700 , 1000 , 37764 , 5100/sqrt(75) )

= 0.0560

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1. There are two performance obligations in a contract to buy a pair of SunBoots from Clarks Inc: Delivery of Sunboots and Discount Coupon.

2. The journal entry to record the revenue for the sale of 1,000 pairs of SunBoots when Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon is as follows:

Debit Cash $70,000

Credit Sales Revenue $65,800

Credit Deferred Revenue from Discount Coupon $4,200

(To record the sale of 1,000 pairs of SunBoots, including the discount coupon.)

Performance obligations refer to distinct goods and services agreed to be provided in a contract between the two parties.

Performance obligations arise because each separate goods or services benefit the customer distinctly from others.

In accounting for the revenue or costs, efforts should be geared toward recognizing the activity as soon as they bestow or transfer economic benefits to the buyer.

Selling price per pair = $70

Discount coupon = 30%

Estimated percentage of customers who will utilize the coupon = 20%

The number of SunBoots sold = 1,000

Cash $70,000 Sales Revenue $65,800 Deferred Revenue from Discount Coupon $4,200 ($70,000 x 30% x 20%)

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The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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Answer:

c 57

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

B 3360

Step-by-step explanation:

Area of Rectangle = Length X Width

120 X 28

= 3360 cm

Answered by Gauthmath

As \({l}\parallel{m}\)

The angles (9x - 4)° and (5x + 16)° are interior angle of the same side.

So,

\( \bf \longrightarrow(9x - 4) \degree + (5x + 16) \degree = 180 \degree \\ \\ \bf \longrightarrow14x + 12 \degree = 180 \degree \\ \\ \bf \longrightarrow 14x = 180 \degree - 12 \degree \\ \\ \bf \longrightarrow14x = 168 \degree \\ \\ \bf \longrightarrow x = { \cancel{\frac{168 \degree}{14}}} \\ \\ \bf \longrightarrow x = 12 \degree\)

[If two angles are interior angles of the same side, the same of them is 180°]

Answer:60

Step-by-step explanation:

⅟₂ of 30=15

¼ of 60=15

The required value is 60.

The size, number, or amount of one thing or group as compared to the size, number, or amount of another is considered as proportion.

Given that, 1/2 of 30 = 1/4 of ??

So, 1/2 of 30 = 15

a/b = c/d

ad = bc

Let the unknown value be x,

Therefore,

30 / 2 = x / 4

2x = 120

x = 60

Hence, the value of unknown element is 60.

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Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

If 58% = 58÷100 of the people have been vaccinated, then;

1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.

Now:

Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;

P( > 1 ) = 1 - P(0)                 -----------(1)

Where;

P(0) = probability that all of the four have not been vaccinated.

P(0) = P(1) x P(2) x P(3) x P(4)×p(5)

Where;

P(1) = Probability that the first out of the four has not been vaccinated

P(2) = Probability that the second out of the four has not been vaccinated

P(3) = Probability that the third out of the four has not been vaccinated

P(4) = Probability that the fourth out of the four has not been vaccinated

P(5)=Probability that the fifth out of the five has not been vaccinated

Remember that 42÷100 of the population has not been vaccinated. Therefore,

P(1) = 42÷100    

P(2) = 42÷100

P(3) = 42÷100

P(4) = 42÷100

P(5)=42÷100

P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)

P(0) = (42÷100)⁵

P(0) = (0.42)⁵

P(0) = 0.013067

Therefore, from equation (1);

P( > 1 ) = 1 -0.013067

P( > 1 ) = 0.98693

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

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The equation of tangent to the curve y = 8√x  at the point (4,16) is  y = 2x + 8 .

We have to find equation of tangent line to the curve y = 8√x at the point (4, 16), we first find the slope ;

So , slope of the tangent line is  derivative of function y = 8√x at point (4, 16).

which means :  y' = 4\(x^{-\frac{1}{2} }\)  ;

At the point (4, 16), the value of x is 4.

So , y' = 4 × \(4^{-\frac{1}{2} }\) = 2 .

By Using the point slope form, the equation of the tangent line is ;

⇒ y - 16 = (2)(x - 4)  ;

Simplifying this equation, we get:

⇒ y - 16 = 2x - 8

⇒ y = 2x + (16 - 8)

⇒ y = 2x + 8 .

Therefore, the equation of the tangent line to the curve is y = 2x + 8 .

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The given question is incomplete , the complete question is

Find an equation for the tangent to the curve y = 8√x  at the point (4,16) .

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

1) At least two equal sides

2) One pair of equal angles

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

20

Step-by-step explanation:

1/5(6+3+1)²

1/5(36+9+1)

20

Answer:

20

Step-by-step explanation:

1) Simplify 6 + 3 to 9.

\(\frac{1}{5} (9+1)^{2}\)

2) Simplify 9 + 1 to 10.

\(\frac{1}{5}\) × 10²

3) Simplify 10² to 100.

\(\frac{1}{5}\) × 100

4) Simplify.

\(\frac{100}{5}\)

5) Simplify.

20

Answer:

A

Step-by-step explanation:

These triangles are first off congruent, because the only value that is changing, is the negative sign in front.

This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.

Answer:

See below

Step-by-step explanation:

x2 + 4x + 12 = 0    Complete the square ( take 1/2 of the 'x' coefficient, then square it   and add it to both sides of the equation

x^2 + 4x + 2^2 + 12 = 2^2     Subtract 12 from both sides

x^2 + 4x + 4 = -8

(x+2)^2 = - 8       sqrt both sides

(x+2) =± sqrt (-8)     simplify just a bit

x+2 = ±(2i sqrt2)      subtract 2 from both sides

x =  -2 ± 2i sqrt 2       <===== I do not see that answer listed

Answer: 25

Step-by-step explanation: The median is the average of the middle two numbers and if the median will be 17.5 then the sum of the middle numbers will be 35, and when we arrange the numbers in the least to greatest order we realize that 10 will be one of the middle two numbers when a number is added, and so the other number must be 25. Hope this helped!