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Find (f-g)(x) if f(x)--3x2+2x-3 and(x)=2x2-3x+4

Answer:

D

Step-by-step explanation:

\(-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0\)

Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

Answer:

True

Step-by-step explanation:

Answer:

540,000 cubic centimeters

Step-by-step explanation:

1 meter and 20 centimeters is equal to 120 centimeters.

\(120 \times 90 \times 50 = 540000\)

The linear equation is:

y = -50x + 213

So the slope is -50, and the y-intercept is 213.

A general linear equation can be written in the following way:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that Javier has a balance of $213 on his game store gift card, and each game costs $50, then the balance after buying x games is given by the linear equation below:

y = -50x + 213

You can see that the slope is -50 and the y-intercept is 213.

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

y = -5x - 2

Step-by-step explanation:

We will use the slope intercept form: y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

A parallel equation means the slope has to be the same with the original equation. The slope of the original equation is -5, so m = -5

y = -5x + b

We have the x and y coordinates

-12 = -5(2) + b

-12 = -10 + b

+ 10  + 10

b = -2

The y intercept for the new equation is -2

This will be our new parallel equation

y = -5x - 2

You can check this by plugging in

y = -5(2) - 2

y = -10 - 2

y = -12

Answer:

y-(-12)=-5(x-2)

Step-by-step explanation:

Answer:36

Step-by-step explanation:

1 +9+ +9+ 12+ 2+ 3+1 =36

Simon 1

9 Pairs pf aunts & uncles= 18

every 3 uncles   theres 4 cousins=12

grandparents 2

parents 2

sister 1

Answer:

30

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left

a. The random variable X represents the number of people over 50 who ran and died in the same eight-year period.

b. The appropriate distribution for this problem is the binomial distribution, which describes the number of successes.

c. The 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period is (0.0206, 0.1149).

d. The true population proportion lies within this interval, nor does it mean that the observed proportion (0.0677) has a 97% chance of being correct.

a. The random variable X represents the number of people over 50 who ran and died in the same eight-year period. The population proportion of over-50s who ran and passed away within the same eight-year period is represented by the random variable P'.

b. The appropriate distribution for this problem is the binomial distribution, which describes the number of successes (in this case, people who ran and died) in a fixed number of independent trials (in this case, the population of people over 50 during the eight-year period), where the probability of success is constant for each trial.

c. To construct a 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period, we can use the following formula:

\(\hat{p} \pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\)

where \hat{p} is the sample proportion, n is the sample size, and \(z_{\alpha/2}\) is the z-score associated with the desired level of confidence (97%, in this case).

Given that 1.5% of the 451 members of the 50-Plus Fitness Association died during the eight-year period, we can estimate the sample proportion as:

\(\hat{p} = \frac{X}{n} = \frac{0.015 \times 451}{1} = 6.765 \approx 0.0677\)

where X = \(0.015 \times 451 \approx 7\) is the observed number of people over 50 who ran and died in the same eight-year period.

Substituting the given values into the formula, we have:

\(0.0677 \pm 2.17\sqrt{\frac{0.0677(1-0.0677)}{451}} \approx (0.0206, 0.1149)\)

Therefore, the 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period is (0.0206, 0.1149).

ii. The graph of the confidence interval would be a horizontal line segment between the two endpoints (0.0206, 0.1149) on the y-axis, with a vertical line at the midpoint (0.0677) on the x-axis.

iii. The error bound is:

\(z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \approx 0.0471\)

d. A "97% confidence interval" means that if we were to repeat this study many times, using different samples of the same size from the same population, we would expect the true population proportion of people over 50 who ran and died in the same eight-year period to be captured by the confidence interval in 97% of those repetitions. In other words, we are 97% confident that the true population proportion falls within the interval (0.0206, 0.1149). It does not mean that there is a 97% chance that the true population proportion lies within this interval, nor does it mean that the observed proportion (0.0677) has a 97% chance of being correct.

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Answer:

Step-by-step explanation:

z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75 z + 4 = 75

a. It will take 7 months to pay off the credit card.

b. it will take 4 months to pay off the credit card.

Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.

We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

n = 6.18

Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

n = 3.43

Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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9514 1404 393

Answer:

  {x ∈ ℝ | x ≤ 3}

Step-by-step explanation:

Subtracting 5 from both sides, we see the solution is ...

  x ≤ 3

In set notation, this can be written ...

  {x ∈ ℝ | x ≤ 3}

Answer:

21.2

Step-by-step explanation:

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

Answer A

21.2

Step-by-step explanation:

Answer:

The first step in simplifying this expression is to evaluate the terms within the parenthesis - starting with the multiplication and following the rules for operations in math.

Answer:

Expanding brackets

Step-by-step explanation:

4(3x)+4(-2)+6x(2)+6x(-1)

12x - 8 + 12x - 6x

a complete description of simple harmonic motion must take into account several physical quantities and various mathematical relations then the position of a 60 gg oscillating mass is given by x(t) -20 sin 10t

this information is needed to solve oscillation problems of this type

the position of a 60 gg oscillating mass is given by x(t)

x = 2 cos wt = 2 cos 10t ; w = 10

velocity = dx/dt = -2 x 10 sin 10 t.=- 20 sin 10t

t = .4

velocity = -20 sin 10 x .4 = -20 sin 4 = -20 x -0.7568 = 15.136 cm /s

w = √ k / m = 10 = √ k / .05

k = 15.136  N/m

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Answer:

PICTURE NOT LOADING BUT GUESS OR LOOK IT UP OR SOMETHING SORRY SOS ANYONE SOS

Step-by-step explanation:

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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Answer:

Step-by-step explanation:

u=㏑ x

x=e^u

v=㏑ y

y=e^v\(x^{2} y^5 =(e^u)^{2} (e^v)^5=e^{2u}e^{5v}=e^{2u+5v}\)

Answer:

D. 2u + 5v

Step-by-step explanation:

answer on edge

The expression of 602.16 dam in decimeters can be written as 60216 decimeter.

The concept that will be used in the calculation is conversion. to perform this conversion, it is important to note that 1 Decimeter (dm) is equal to 0.01 dekameter (dam).

Then, if 1dm = 0.01 dam

               Xdm     = 602.16 dam

Where x is the value in decimeter.

Then we can cross multiply as :

X= (602.16 dam * 1dm)/ 0.01 dam

= 60216 decimeter.

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Answer: Andre should buy Car 2. Brainliest?

Step-by-step explanation:

To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.

For Car 1: y = 25x

This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).

For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:

For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).

For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).

For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).

For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).

For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).

Therefore, Car 2 has a consistent gas mileage of 30 mpg.

From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.

Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The equation y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second.

i) Direction of wave propagation is negative x-axis.

ii) The wave speed is 1.25m/s.

iii)The maximum displacement from the mean position (i.e., the amplitude of the wave) is 0.16 m.

iv)The wave pulse is symmetric.

We compare the given wave equation from the standard wave equation. On comparing, direction and wave speed is found out. The Remaining two parts are found by maxima concept and changing x by −x at t=0 to get a wave is symmetric.

Moving pulse is given by

⇒y(x,t)=0.8[(4x+5t)2+5]

Comparing (4x+5t) with (ax+bt) then we get,

⇒a=4 and b=5 ⋯⋯⋯(1)

(i) When coefficients of x and t are positive then the wave pulse is moving negative x-direction. So, given an equation with coefficients a = 4 and b= 5 are positive. Therefore, the direction of the given equation will be negative x axis.

(ii) After getting the coefficient a and b, we can calculate the speed by determining the value of b/a. And we have value of a =4 and b =5 from the equation (1) .Then speed of the wave will be

=> b/a=5/4

=> speed of the wave =1.25m/s

(iii) To get the maximum displacement from the mean position we put (4x+5t)=0. As the denominator is minimum, the fraction will be maximum. Therefore displacement will be

=> y=0.85, putting the (4x+5t) is equal to zero.

After simplify we get,

=> y=0.16 m

Hence maximum displacement is 0.16m from the mean position,

(iv) We replace x by −x and also put t= 0 in the given equation. If the equation does not change, replacing the x by −x, it will be symmetric otherwise not.

Putting t=0 in the given equation y(x,t) we get,

=> y=0.8(4x)2+5

Now replace x by −x on the above equation we get, y=0.8(4x)2+5

there will not be any change. Therefore, the given equation is symmetric.

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Complete question:

If y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second. Find

(i) Direction of wave propagation.

(ii) The wave speed.

(iii) The maximum displacement from the mean position (i.e., the amplitude of the wave)

(iv) Whether the wave pulse is symmetric or not.