If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f – g)(x).

​

Answer:

-3 5/12=k

Step-by-step explanation:

K+5/3= -7/4

subtract 5/3 from both sides

K= -7/4-5/3

lcm of 4 and 3 is 12

so

K= -21/12-20/12

K= -41/12

K= -3 5/12

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The area of triangle JHK is 4.18 units²

A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;

The right triangle, the isosceles , equilateral triangle e.t.c.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a triangle is expressed as;

A = 1/2bh

where b is the base and h is the height.

The base = 2.2

height = 3.8

A = 1/2 × 3.8 × 2.2

A = 8.36/2

A = 4.18 units²

Therefore the area of triangle JHK is 4.18 units²

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Answer: 200 units²

Step-by-step explanation:

The area of a triangle is 1/2bh.  Because all sides of a square are the same, both the height and base are 20.  Thus, simply do 1/2(20)(20)=200.

Hope it helps <3

Answer:

17•2×65 - 3/4×12

1118 - 36/4

1118 - 9

1109

Answer:

1109

Step-by-step explanation:

I put it here, cause didnt see the answer box until now,

but, this is the answer

Required Probabilty = 161.1

n = 1111

Probability of getting correct P(c)= 1/2

Probability of getting wrong P(w)= 1/2

So it follows binomial distribution

P (x*r) = Ncr .(P)r . (q)n-r = P (33<X<55) = P(X-r) = 1111c4 .  (1/2) power of 44 . (1/2) power of 1111-44

Required Probabilty = 161.1

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Answer: 540 tiles are needed to tile a floor that is 36 feet by 15 feet.

Step-by-step explanation: You need to find the area of the floor. 36x15 is 540.

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer:

12.5 hours :)

Step-by-step explanation:

Let after t hours , the two men are 200 miles apart

So the distance traveled by fthe irst man is 6 miles

And the distance traveled by the second man is 10 miles

So the equation is 6t+10t=200

Therefore after 12.5 hours, they are 200 miles apart.

P.S. Please give me brainliest!

Answer:

80°

Step-by-step explanation:

since 4x+5x=180, it means that x is 20.

to find SVW, you multiply 4 by 20 which is 80°

Answer:

=14x+21m

Step-by-step explanation:

7*(2x+3)

use distributive property:

14x+21

cant go any further ‘cause we don’t have an x value or = sign at the end

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

Step-by-step explanation:

You have three segments totaling 82 cm, with the first being 4/9 of the second, and the third being 16 cm more than the second.

We can describe the relationship by the equations ...

  a + b + c = 82

  a = 4/9b

  c = b +16

The equations give each segment in terms of the second one, so we can substitute those relations into the sum:

  (4/9b) +b +(b +16) = 82

  22/9b = 66

  b = 66(9/22) = 27

  a = (4/9)(27) = 12

  c = 27 +16 = 43

The first segment is 12 cm; the second is 27 cm; and the third is 43 cm.

__

Additional comment

We used an ad hoc solution based on the observation that segments 'a' and 'c' were defined in terms of 'b'. We could write the equations as a system of 3 linear equations in 3 unknowns, and solve using matrix methods:

The solution is shown in the attachment: a=12, b=27, c=43.

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

The ratio of the area of ABCD to the area of EFGH is 9:1.

Step-by-step explanation:

Let us assume that the shapes are rectangles and they are similar. If the two shapes are similar then their sides are in the same proportion. Therefore the ratio of the sides are in the same proportion.

\(\frac{AB}{BC}=\frac{EF}{FG}\\ \\\frac{18}{24}=\frac{6}{x}\\\\18x=24*6\\ \\x=\frac{24*6}{18}=8\)

The area of ABCD = AB × BC = 18 × 24 = 432

The area of EFGH = EF × FG = 6 × 8 = 48

The ratio of the area of ABCD to the area of EFGH = Area of ABCD / Area of EFGH = 432 / 48 = 9/1 = 9 : 1

Shoreline Park in Mountain View, California, has diligently maintained records of the number of visitors to the park ever since its establishment.

Shoreline Park, located in Mountain View, California, has implemented a comprehensive system to monitor and track the number of patrons visiting the park since it first opened. This proactive approach allows park management to gather data on the park's popularity and usage patterns, enabling them to make informed decisions regarding park maintenance, amenities, and future development plans. By closely monitoring the number of visitors, Shoreline Park can ensure that it meets the needs of the community and maintains a pleasant environment for everyone to enjoy.

Maintaining records of the number of patrons using the park serves multiple purposes. Firstly, it helps in understanding the park's peak times and off-peak periods, enabling park officials to allocate resources effectively and plan events or activities accordingly. It also aids in assessing the park's capacity and evaluating any potential overcrowding issues that may arise during busy periods. Additionally, tracking visitor numbers can assist in evaluating the success of marketing and promotional efforts aimed at attracting more people to the park. Overall, by keeping close tabs on the number of patrons using Shoreline Park, the park management can ensure that it remains a popular and well-utilized recreational space for the community while addressing any concerns or challenges that may arise.

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Answer:

This equation has 4 solutions, its real solutions are x = -1 and 3

Step-by-step explanation:

Correct for Plato Users

The equation has 4 solutions and its real solutions are 3, -1.

The given polynomial equation is 6(x - 3)(x² + 4)(x + 1) = 0.

A real solution in algebra is simply a solution to an equation that is a real number.

Now, 6(x - 3)(x² + 4)(x + 1) = 0

⇒(x - 3)(x² + 4)(x + 1) = 0

⇒(x - 3)=0, (x² + 4)=0 and (x + 1) = 0

⇒x=3, -1 and ±√-4.

Therefore, the equation has 4 solutions and its real solutions are 3, -1.

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Answer:

\( \large{ 16.}\)

\( \: \large{\tt{❃ \: m \: \angle \: 1 + m \: \angle \: 2 = 180 \degree \: ( \: SUM \: OF \: ANGLE \: IN \: LINEAR \: PAIR)}}\)

\( \large{ \tt{⟶ \: 47 \degree + m \angle \: 2 = 180 \degree}}\)

\( \large{ \tt{⟶ \: m \angle \: 2 \: = 180 \degree - 47 \degree}}\)

\( \large{ \boxed{ \tt{⟶ \: m \: \angle \: 2 = 133 \degree}}}\)

–––––––––––––

\( \large{17}.\)

\( \large{ \tt{↝ \: m \angle \: 6 = m \angle5 = \boxed{ 99.5\degree }\: ( \: BEING \: VOA)}}\)

–––––––––––––

\( \large{18.}\)

\( \large{ \tt{✻ \: m \angle \: JHL = m \angle \: JHK + m \: \angle \: KHL\: }}\)

\( \large{ \tt{⤏ \: m \angle \: JHL= 60 \degree + 46 \degree}}\)

\( \large{ \boxed{\tt{⤏ \: m \angle \: JHL = 106 \degree}}}\)

–––––––––––––––

\( \large{ {19.}}\)

\( \large{ \tt{❁ \: m \: \angle \: JHK + m \: \angle JHP+ m \: \angle PHN= 180 \degree \: ( \: sum \: of \: angle \: in \: straight \: line)}}\)

\( \large{ \tt{↣ \: 60 \degree + m \angle \: JHP+ 46 \degree = 180 \degree}}\)

\( \large{ \tt{↣ \: m \angle \: JHP = 74 \degree}}\)

\( \large{ \tt{☂ \: m \angle \: JHN = m \angle \: JHP + m \angle \: PHN}}\)

\( \large{ \tt{↦m \angle \: JHN = 74 \degree + 46 \degree}}\)

\( \large{ \boxed{ \tt{ ↦m \angle \: JHN = 120 \degree}}}\)

––––––––––––––––

\( \large{ 20.}\)

\( \large{ \tt{✺ \: m \angle \: KHP = m \angle \: KHJ + m \angle \: JHP}}\)

\( \large{ \tt{ ↬ \: \: m \angle \: KHP = 74 \degree + 60 \degree}}\)

\( \large{ \boxed{\tt{↬ \: m \angle \: KHP = 134 \degree}}}\)

––––––––––––––––

\( \large{ \tt{ \# \: StayInAndExplore \: !}}\)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

The output light frequency of the material used before doubling will be 0.056 Hz.

Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.

Frequency is given by the formula as,

\(\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz\)

Hence the output light frequency of the material used before doubling will be 0.056 Hz.

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer:

If four friends can eat four cakes in four days, then four friends will eat an average of one cake per day, so each friend will be able to eat 1/4 of a cake per day.

So 10 friends will eat 10/4 of cake per day, or two and a half cakes per day, so they will eat 2,5 * 10 = 25 (twenty-five) cakes per 10 days, assuming they will eat at the same rate

Step-by-step explanation:

Branily?

The inequality to represent the regular price of snacks that you can buy if you use the coupon is: x > 13

where x is the regular price of the snack in dollars. To see why, we can start with the fact that you have $8 and a $5 off coupon, which means that you can spend at most $13 on snacks.

If the regular price of a snack is less than or equal to $13, then you can use the coupon to buy it. But if the regular price is more than $13, then you won't be able to use the coupon and still stay within your budget of $8.

Therefore, the inequality x > 13 represents the regular price of snacks that you can buy if you use the coupon. This means that the regular price must be greater than $13 for you to be able to use the $5 off coupon and stay within your budget of $8.

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The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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Answer:

60

Step-by-step explanation:

-5(-2-10)

according to pemdas...solve parenthesis first

-5(-12)

= 60

Answer:

60

Step-by-step explanation:

x ( y - x y )

where x= -5 and y= -2

----------

-5(-2-(-5)(-2))=-5(-2-10)= -5(-12)= 60

The value of sec 19° is approximately 1.058, which corresponds to answer choice D.

To find the value of sec 19° using a calculator, follow these steps:

Turn on your calculator and make sure it is in degree mode.

Enter "19" and press the "cos" button. This will give you the value of cos 19°.

Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.

Using this method, we get:

cos 19° = 0.948

1/cos 19° = 1/0.948 ≈ 1.058

Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.

It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.

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The percentage increase from the initial population of 397,000 to 412,880 is 4%

From the question, we have the following numbers:

397,000 and 412,880.

The numbers are increments from 397,000 to 412,880.

The percentage increase is calculated as:

%Percentage = (Old number - New number)/Old Number

Substitute the numbers in the above equation

%Percentage = (412880 - 397000)/397000

Evaluate the difference

%Percentage = 15880/397000

Evaluate the quotient

%Percentage = 0.04

Express 0.04 as percentage

%Percentage = 4%

Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%

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Answer:

Step-by-step explanation:

We can write an equation to represent this problem.

(15 + w)(20 + w) = 1/2 (15)(20)

Foil out the left side of the equation.

300 + 35w + w^2 = 150

Subtract 150 from both sides.

w^2 + 35w + 150    (I rearranged it to be in the form that is most efficient)

Now solve for variable w using the quadratic equation (look up the formula if necessary)

[-35 +_ (square root of the value of 1225-600)] / 2

[-35 +_ (SqRt of 625)] /2

(-35 +_ 25) /2

=  -30, -5

I just realized that it can't increase by a negative number, so I'm not really sure of the answer. Sorry, my bad. However, I feel that this may be of help to other people anyway, so I think I'll leave it up here. Apologies again.

Feel free to read through my reasoning behind my answer, and see if it gives you any ideas or inspiration for solving this problem.

Answer:

113 + 22 = 135

113.5 + 22.41 = 135.91

The answer would be 135.91

Step-by-step explanation: