Find zeros of quadratic polynomial
x²+x -20
​

the correct order from least to greatest is:

(1-x²)/(1-2x) < (3x²+1)/2(x-1) < (x²-1)/(1-2x) < (2x²-x)/2

When x = -2, let's evaluate each expression to determine their values:

Expression 1: (1 - x²) / (1 - 2x)

Substituting x = -2:

(1 - (-2)²) / (1 - 2(-2))

= (1 - 4) / (1 + 4)

= -3/5

Expression 2: (x² - 1) / (1 - 2x)

Substituting x = -2:

((-2)² - 1) / (1 - 2(-2))

= (4 - 1) / (1 + 4)

= 3/5

Expression 3: (2x² - x) / 2

Substituting x = -2:

(2(-2)² - (-2)) / 2

= (2(4) + 2) / 2

= 8/2

= 4

Expression 4: (3x² + 1) / (2(x - 1))

Substituting x = -2:

(3(-2)² + 1) / (2((-2) - 1))

= (3(4) + 1) / (2(-3))

= (12 + 1) / (-6)

= 13 / -6

= -13/6

Now, let's arrange the expressions in increasing order of their values:

-3/5 < -13/6 < 3/5 < 4

Therefore, the correct order from least to greatest is:

(1-x²)/(1-2x) < (3x²+1)/2(x-1) < (x²-1)/(1-2x) < (2x²-x)/2

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Complete question is below

Drag each tile to the correct box. arrange the expressions in increasing order of their values when x= -2

(1-x²)/(1-2x), (x²-1)/(1-2x), (2x²-x)/2, (3x²+1)/2(x-1)

40 trading cards

baseball cards

10 baseball cards

football cards

4 football cards

basketball cards

40- 10-4 =26

how many more basketball cards than baseball are there ​?

basketball cards - baseball cards = 26-10 = 16

there are 16 cards more basketball cards than baseball cards

TRUE. We can observe n coin flips, record each heads as 1, and each tails as 0. Then, sum up all of our 1s and 0s, divide by n (in other words, we calculate the sample mean), and we have just calculated the sample proportion p-hat. This is a method used to find the probability of an event.

The sample proportion is known as p-hat. The proportion of successes in the sample is denoted by the p-hat symbol. The sample proportion is a statistic that estimates the actual proportion of the population. The proportion of successes in a sample is referred to as the sample proportion.

When sample proportion represents a percentage, it is indicated as a percentage (x%). So, sample proportion p-hat is a statistical term that provides us with an estimate of the actual proportion of the population from the sample proportion.

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a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

new price is 120% of old price

old price is 420.1 • 5÷6

420.1 • 5 = 2100.5

2100.5 ÷ 6 = 350.083

original price was $350.08

Based on the information given the length of one side of the hot tub is 4. 8 ft. So the correct option is B.

The complete question is given as:-

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the centre of dilation. Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Length: Using this formula

Length=B prime C prime length/Scale factor

Where:

B prime C prime length=24 feet

Scale Factor=5

Let plug in the formula

Length=24ft/5

Length=4.8ft

In conclusion, the length of one side of the hot tub is 4. 8 ft.

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The given ODE is x˙=−3x+4 with x(0)=5. The ODE is of the first order and linear, so it can be solved using the integrating factor method.

The integrating factor method is given as;\($$\frac{dx}{dt}$+$p(t)x=q(t)$$\)

Multiplying both sides by the integrating factor, we have;

\($$\begin{aligned}\mu x'+\mu p x &= \mu q\\ (\mu x) &= \int \mu q \ dt\end{aligned}$$Where p(t)=-3, q(t)=4 and x(0)=5\).

Therefore the integrating factor is;

\($$\mu = e^{\int p(t) \ dt}$$So;$$\begin{aligned}\mu &= e^{\int -3 \ dt}\\ &= e^{-3t}\end{aligned}$$\)

Multiplying both sides of the ODE by the integrating factor, we have;

\($$\begin{aligned}e^{-3t} x'+e^{-3t} (-3)x &= e^{-3t} (4)\\ \frac{d}{dt} (e^{-3t} x) &= 4 e^{-3t}\end{aligned}$$\)

Integrating both sides, we have;

\($$\begin{aligned}e^{-3t} x &= \int 4 e^{-3t} \ dt\\ &= \frac{4}{-3} e^{-3t} + C\end{aligned}$$\) where C is the constant of integration. Solving for C, we have;\($$5=e^{0} x = \frac{4}{-3} e^{0} + C$$\)

Hence, C= 5 + 4/3

= 19/3.

Therefore, the general solution is;\($$x(t) = \frac{4}{-3}$ + \frac{19}{3} $e^{3t}$$\)

This solution was obtained using the integrating factor method, which involves determining the integrating factor, multiplying both sides of the ODE by the integrating factor, finding the antiderivative of both sides of the resulting equation, and solving for the constant of integration using the initial condition.

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Answer:

Step-by-step explanation:

We can calculate probability by looking at the outcomes of an experiment or by reasoning What is the theoretical probability that a fair coin lands on heads? Choose 1 answer:  Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

Hope this helps.

Please give me brainliest if it is correct

Answer:

  -1/5

Step-by-step explanation:

You want y'(25) by implicit differentiation of √x +√y = 6, given y(25) = 1.

Differentiating the equation with respect to x, we have ...

  x^(1/2) +y^(1/2) = 6 . . . . . . . given relation

  1/2(x^(-1/2)) +1/2(y^(-1/2))y' = 0 . . . . . derivative with respect to x

  y' = -x^(-1/2)/y^(-1/2) . . . . . . . . . solve for y'

  y' = -√(y/x) . . . . . . . express using radical

At the point of interest, (x, y) = (25, 1), the derivative is ...

  y' = -√(1/25) = -1/5

The value of y'(25) is -1/5.

y'(25) = -1.

We have the equation:

√x + √y = 6

To find y'(25), we can use implicit differentiation with respect to x.

Taking the derivative of both sides with respect to x, we get:

1/2 * (x^(-1/2)) + 1/2 * (y^(-1/2)) * y' = 0

Multiplying through by 2 * √y, we get:

√y / √x + y' = 0

Now we need to find y'(25), which means we need to evaluate the expression above when y = 1 and x = (6 - √y)^2.

We are given that y(25) = 1, so x = (6 - √y)^2 = 1.

Plugging this into the equation we obtained earlier:

√y / √x + y' = 0

we get:

√1 / √1 + y' = 0

Simplifying:

1 + y' = 0

y' = -1

Therefore, y'(25) = -1.

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The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

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Answer: 20 feet

Step-by-step explanation:

This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.

Solve with Pythagoras rule:

c² = a² + b²

c = hypotenuse

a= length

b = height

29² = 21² + b²

841 = 441 + b²

b² = 841 - 441

b² = 400

b = √400

b = 20 feet

The volume of the figure is  152ft²

The formula that is used for calculating the volume of a rectangular prism is expressed as;

Volume = l w h

Substitute the value, we have;

Volume = 5 × 4 × 7

Multiply the values, we have;

Volume = 140ft²

The formula for volume of a triangular prism is;

Volume = base × height

Volume = 4 × 3

Volume = 12ft²

Total volume = 12 + 140 = 152ft²

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

q + q + 4

Step-by-step explanation:

q + q +4

Answer:

i say the team would win about 14 games

Answer:

1) B) 10

2) B) 9

Step-by-step explanation:

1) 10x+15=115

10x=100

x=10

2) 12x+17=125

12x=108

x=9

Answer:

B

Step-by-step explanation:

The guy above me is correct

Mathis's rate of return on his investment of $1,000 in a mutual fund that sold for $1,250, including taxes, inflation, and administrative costs of $8 was 24.2%.

The rate of return represents the percentage of the net gain an investment generates.

The rate of return is determined using the quotient of the division operation between the return and the initial investment.

The return or net return is the difference between the final value and the initial value after taking into account taxes, inflation, and other administrative costs.

The initial investment = $1,000

The final sales value = $1,250

Taxes, inflation, and other costs = $8

Net sales proceeds = $1,242 ($1,250 - $8)

Returns = $242 ($1,242 - $1,000)

Rate of return = 24.2% ($242 ÷ $1,000 x 100)

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Answer:

D

Step-by-step explanation:

I think...this is a really hard question but D is the one I would choose. Forgive me if I'm wrong

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Triangle a b c is cut by line segment f g. line segment f g goes from side a b to side a c. then x= 9

The problem description can be shown in the figure below. Since FG is parallel to BC, both sides AB and AC are split in proportional segments. It can be expressed in several ways. We'll use this one:

x+1/x+6= x-1/x+3

Operating in both sides:

4x+3=5x-6

Simplifying

x=9

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Answer: D). 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

..................

Answer:

63 ÷ 84 = 0.75 // 75% // 3/4

Step-by-step explanation:

63 divided by 84 equals 0.75, 75%, or 3/4. meaning the probability of Mike making his next free throw 75%

Answer:

degree x π/180 = radian

-----------------------------------------

1) -290° × π/180 = -5.061rad

3) 970° × π/180 = 16.93rad

5) 510° × π/180 = 8.901rad

7) 210° × π/180 = 3.665rad

9) 240° × π/180 = 4.189rad

11) -945° × π/180 = -16.49rad

13) 315° × π/180 = 5.498rad

15) -520° × π/180 = -9.076rad

17) 300° × π/180 = 5.236rad

19) 555° × π/180 = 9.687rad

-------------------------------------------

i hope this helps!

Answer:

TanФ=-1.793

Step-by-step explanation:

\(Sin^{2} (A) + Cos^{2} (A) = 1\)

\(Sin(A)=\sqrt{1-Cos^{2} (A)}\)

\(Tan(A) = \frac{Sin(A)}{Cos(A)}\)

\(Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202\)

Answer:

As x approaches ∞, y approaches -∞

As x approaches -2.5, y approaches ∞

Step-by-step explanation:

Answer:If f(1)=3 and f(n)=3f(n-1)-n then find the value of f(5)

Step-by-step explanation:the value of f would be 3 and n would be 1 4/5(9/5).

The area under the curve is \(\frac{6 \sqrt{3}}{5}\).

Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)

The objective is to find area enclosed by the curve using the formula.

The area under the curve is given by parametric equations x=f(t), y=g(t),  and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:

\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)

The curve has intersects with y-axis. so x=0

\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)

Now we have to draw the graph,

Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)

Differentiate the curve f(t) with respect to t.

\(f^{\prime}(t)=2 t-3\)

Now, find the area under the curve use the above formula.

\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)

\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)

\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)

Therefore,  the area of the curve is \(\frac{6 \sqrt{3}}{5}\).

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The correct statement is

Option(A). The average weight of the new offensive line is 304.

Average:

The ratio of the sum of the observation and the number of observations in a particular set is the mean value or average of the data.

=> Average = [Sum of observations ]/ Number of observations

=> Sum of observation = Average × Number of observations

Here we have

The average weight for the five starting offensive linemen of the Charlotte Panthers is 300 pounds.  

The heaviest starter gets injured and his replacement weighs 20 pounds more than the injured starter.

By the given formulas

Total weight of the 5 linemen = 5 × 300 = 1500

Given that the heaviest starter was replaced with a stater who weighs 20 pounds more than the injured starter

After replacement, the total weight of 5 linemen = 1500 + 20 = 1520  

The average weight of the 5 line men = [1520]/5 = 304  

Therefore,

The correct statement is

Option(A). The average weight of the new offensive line is 304.

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