just help if you cannnnnnnnnnnnnnnnnnnnnnnnnn

The true statement about the function are;

⇒ The function is positive for all real values of x, where x < –1.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The graph of the function;

f(x) = –(x + 3)(x – 1)

Now,

Graph of the function is shown in attached image.

Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).

Clearly, When x < -1

Take x = 0 < -1

The value of function;

f(x) = –(x + 3)(x – 1)

    = - (0 + 3) (0 -1)

    = -3 x -1

    = 3

The function is positive.

Thus, The true statement about the function are;

⇒ The function is positive for all real values of x, where x < –1.

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Answer:

the set of all the real values which are strictly greater than zero which is all positive real numbers

Step-by-step explanation:

In interval notation: (0, ∞)

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x)

the set of all the real values which are strictly greater than zero

x > 0

please mark me brainliest :)

Step-by-step explanation:

so, we have

6x² + 8xy + 8y²

and

5x² + 3xy + 16y²

we can combine only terms of the same kind (defined by the type and exponent of the used variables).

this is like adding fruit.

e.g. when we have a mixture of 3 apples, 4 oranges and 5 plums, and we add a mixture of 6 apples, 2 oranges and 3 plums - what do we get ?

we get a new mixture of

3+6 = 9 apples

4+2 = 6 oranges

5+3 = 8 plums

and exactly the same thing happens with mixing terms when adding them up.

so, we get

6+5 = 11x²

8+3 = 11xy

8+16 = 24y²

so, the result is

11x² + 11xy + 24y²

it is really that simple.

1.Substitute

2.Calculate

Hope it helps

The yield on Miranda’s dagofi radar stock is 0.0622. So the correct option is a.

In the given question,

Miranda purchased 425 shares of Dagofi radar stock at $14.15 a piece.

She earns $374.00 in dividends every year.

We have to find the yield on Miranda’s Dagofi radar stock.

Miranda purchased total shares = 425

The price of one share = $14.15

So the total price = Total number of shares*the price of one share

The total price = 425*14.15

The total price = $6013.75

An asset's yield is the annual profit over cost.

In this specific case, we have that,

The yield = 374/6013.75

The yield = 0.0622

Hence, the yield on Miranda’s dagofi radar stock is 0.0622. So the correct option is a.

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Answer:

The answer is A: 0.0622

Step-by-step explanation:

[Values]

Number of shares: 425

Share value = $14.15

Total dividend paid: $374.00

[Total value of stocks]

425 x 14.15 = 6,013.75

[Divide the total dividends by total stock value]

$374 / 6,013.75 = 0.06219

rounded = 0.0622

An angle bisector is a line that divides an angle into two equal parts

From the figure attached, we will observe that Line RU bisects Angle TRP into two parts (TRU & PRU)

Hence, the corect answer is a. (RU)

The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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Answer:

Step-by-step explanation:

2/5 m  and -3/5 are like terms

\(\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m= \frac{2}{5}m-\frac{3}{5}m-\frac{4}{5}\\\\\\=\frac{(2-3)}{5}m-\frac{4}{5}\\\\\\=-\frac{1}{5}m-\frac{4}{5}\)

To calculate compound interest, we use the formula:

\(A = P(1 + \frac{r}{n})^{nt}\)

Where:

A = the final amount (including principal and interest)

P = the principal amount (the initial loan)

r = the annual interest rate (as a decimal)

n = the number of times that interest is compounded per year

t = the number of years

In this case, Tom borrowed $6,000 at a 3% interest rate for 2 years. Let's calculate the compound interest:

P = $6,000

r = 3% = 0.03

n = 1 (compounded annually)

t = 2 years

\(A = 6000(1 + \frac{0.03}{1})^{1 \cdot 2}\\\\= 6000(1 + 0.03)^2\\\\= 6000(1.03)^2\\\\\approx 6000(1.0609)\\\\\approx \$6,365.40\)

The final amount (including principal and interest) is approximately $6,365.40. To calculate the compound interest, we subtract the principal amount:

Compound Interest = A - P = $6,365.40 - $6,000

Compound Interest ≈ $365.40

Therefore, the correct answer is:

Compound Interest ≈ $365.40.

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The probability that the sample mean would differ from the population mean by greater than 2.4 gallons

To solve this problem, we need to use the central limit theorem and the formula for the standard error of the mean:

Standard error of the mean = standard deviation / square root of sample size

In this case, the standard deviation is the square root of the variance, which is 7. Therefore, the standard error of the mean is:

Standard error of the mean = 7 / square root of 43 ≈ 1.061

Next, we need to calculate the z-score for a difference of 2.4 gallons:

z-score = (sample mean - population mean) / standard error of the mean
z-score = (101 - 101.6) / 1.061 ≈ -0.566

Note that we subtract the population mean from the sample mean because we want to know how much the sample mean differs from the population mean.

Finally, we can use a standard normal distribution table (or a calculator) to find the probability that a z-score is less than -0.566 or greater than 0.566 (since the distribution is symmetric). The probability of a z-sitcore less than -0.566 is approximately 0.2881, so the probability of a z-score greater than 0.566 is also approximately 0.2881. Therefore, the probability that the sample mean would differ from the population mean by greater than 2.4 gallons is:

Probability = 0.2881 + 0.2881 ≈ 0.5762

Rounding to four decimal places, the answer is 0.5762.

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Answer:

y-1 = -⅗(x-5)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Each time you divide or multiply by a negative number, you must change the direction of the inequality symbol.

The limit of the function v(t) as t approaches 2 is -30.

It seems like there are some typos and incorrect formatting in the question, which makes it difficult to understand what is being asked. However, I will do my best to provide an accurate answer.

When factoring the numerator, it is important to look for common factors that can be pulled out of the expression. In this case, the numerator of the function v(t) = (46t − 16t2) − 28t − 2 can be factored by pulling out a common factor of 2t:

v(t) = 2t(23 - 8t) - 28t - 2

Next, we can evaluate the limit as t approaches 2 by substituting 2 for t in the expression:

v(2) = 2(2)(23 - 8(2)) - 28(2) - 2 = 2(2)(23 - 16) - 56 - 2 = 2(2)(7) - 58 = 28 - 58 = -30

Therefore, the limit of the function v(t) as t approaches 2 is -30.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

Slope is a surface with one end higher than the other and without no steps. It proceed at an angle.

First, you have to use the slope formula.

Slope formula:

\(\sf{\dfrac{Y_2-Y_1}{X_2-X_1}}\)

Y₂= (-4)

Y₁=5

X₂=1

X₁=(-2)

Solve.

\(M=\dfrac{-4-5}{1-(-2)}\)

(-4)-5=(-9)

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

(-9)/3=(-3)

Therefore, the slope is -3, which is our answer.

A) the value of x where the graph of R(x) has a horizontal tangent line is x = 250.

B)  P(x) = -0.4x² + 180x - 11,250

C) the value of x where the graph of P(x) has a horizontal tangent line is x = 225.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

(A) To find the value of x where the graph of R(x) has a horizontal tangent line, we need to find the critical points of R(x) where the derivative is equal to zero.

The derivative of R(x) is given by:

R'(x) = 200 - 0.8x

To find the critical points, we set R'(x) = 0 and solve for x:

200 - 0.8x = 0

0.8x = 200

x = 250

So, the value of x where the graph of R(x) has a horizontal tangent line is x = 250.

(B) The profit function P(x) is given by the difference between the total revenue (R(x)) and the total cost (C(x)):

P(x) = R(x) - C(x)

P(x) = (200x - 0.4x²) - (20x + 11,250)

P(x) = -0.4x² + 180x - 11,250

(C) To find the value of x where the graph of P(x) has a horizontal tangent line, we need to find the critical points of P(x) where the derivative is equal to zero.

The derivative of P(x) is given by:

P'(x) = -0.8x + 180

To find the critical points, we set P'(x) = 0 and solve for x:

-0.8x + 180 = 0

0.8x = 180

x = 225

So, the value of x where the graph of P(x) has a horizontal tangent line is x = 225.

hence, A) the value of x where the graph of R(x) has a horizontal tangent line is x = 250.

B)  P(x) = -0.4x² + 180x - 11,250

C) the value of x where the graph of P(x) has a horizontal tangent line is x = 225.

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complete question:

The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)=20x+11,250 and R(x)=200x-0.4x² for 0≤x≤500.

(A) Find the value of x where the graph of R(x) has a hori- zontal tangent line.

(B) Find the profit function P(x) .

(C) Find the value of x where the graph of P(x) has a hori-

zontal tangent line.

Answer:

21 ft²

Step-by-step explanation:

3*5 + 2*3 = 21

An Equation of the tangent line to the curve is 18y=x+81

Given equation

y²=x

This is an equation of a parabola. graph{y^² = x [-10, 10, -5, 5]}

For finding the tangent to the equation, we first differentiate it.

The goal here is to find the value of dy/dx which will give the slope of the tangent to the parabola.

So,

\(\frac{d}{dy}(y^2)=\frac{dx}{dy} \\\\2y=\frac{dx}{dy} \\\\\frac{1}{2y} =\frac{dx}{dy} \\\\\)

Now, we want to evaluate the slope at the given point. So substituting y we get,

\(\frac{1}{18} =\frac{dx}{dy}\)

This is the slope of the tangent.

It passes through (81,9) [as per in the question]

The general equation of a line is y=mx+c

m is the slope of the line.

For the line/tangent that we got

\(m=\frac{dy}{dx}\)

\(y=\frac{x}{18} +C\)

The point should satisfy the equation of the line/ tangent. So,

\(9=\frac{x}{18} +C\)

So, c=9/2

Finally, substitute the value in our equation of the line/tangent:

\(y=\frac{x}{18} +\frac{9}{2}\)

18y=x+81

Therefore, the equation of the tangent line to the curve at the given point, y =√ x, (81, 9) is 18y=x+81

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The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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Answer:

ok

Step-by-step explanation:

Answer:

9 ways.

Step-by-step explanation:

Answer:

$9.30

Step-by-step explanation:

If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)

I think it's either fixed or income but I think it's income

Answer:

Fixed

Step-by-step explanation:

She's paying a consistent amount every month  

Answer:

75%

Step-by-step explanation:

$16 = 100%

$12 = ?%

?% = (12 * 100) / 16

?%= 75%

Answer:

reduced by 25%

Step-by-step explanation:

16 x 25% = $4

To solve the equation algebraically for 0 ≤ x ≤ 2π:

Start with the equation sin²(x) = cos(2x).

Rewrite cos(2x) using the double-angle identity: cos(2x) = 1 - 2sin²(x).

Substitute the rewritten expression into the equation: sin²(x) = 1 - 2sin²(x).

Rearrange the equation to isolate sin²(x): 3sin²(x) = 1.

Divide both sides of the equation by 3: sin²(x) = 1/3.

Take the square root of both sides: sin(x) = ±\(\sqrt{(1/3)}\)

Since we're looking for solutions in the interval 0 ≤ x ≤ 2π, we need to find the values of x that satisfy sin(x) = ±\(\sqrt{(1/3)}\) within that interval.

Use the inverse sine function (sin⁻¹) to find the values of x: x = sin⁻¹(±\(\sqrt{1/3}\)).

Calculate the values of x using a calculator or table of trigonometric values.

The solutions in radians to the nearest 10th will be as follows:

x = 0.6 radians and x = 2.5 radians (approximately)

Moving on to the second question:

In triangle ABC, side a = 4 cm, side b = 6 cm, and angle A = 27°. We need to find the measure of angle B.

Using the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides in a triangle, we can find angle B.

The formula for the Law of Sines is: a/sin(A) = b/sin(B) = c/sin(C).

Let's plug in the known values into the formula:

4/sin(27°) = 6/sin(B)

Now we can solve for sin(B):

sin(B) = (6 × sin(27°)) / 4

sin(B) = 0.419

To find the measure of angle B, we can take the inverse sine (sin⁻¹) of 0.419:

B = sin⁻¹(0.419)

Using a calculator or table of trigonometric values, we find that B is approximately 25.8 degrees.

Therefore, the measure of angle B is approximately 25.8 degrees (to the nearest 10th of a degree).

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Answer:

The value of \(x=11\)

Step-by-step explanation:  Simplify the equation  \((4x+8) + (3x+7) = 92\)  

To simplify take the common factors and solve them

So, 4x and 3x, then 8 and 7.  \(4x + 3x = 7x \\8 + 7 = 15\)

Now put 7x and 15 in the equation.   \(7x + 15 = 92\)

Now simply this equation.     7x + 15 = 92

                                                     - 15 = -15

cross out 7 to get x                7x         =  77    divide 77 and 7

                                                7               7    

                                                 x           = 11

To check work just replace the x with eleven to solve the equations and add the result to see if it equals 92

(4(11)+8) + (3(11)+7) = 92

(4 x 11 = 44 +8) = 52           52

+ (3 x 11 = 33 + 7) = 40     + 40

                                         = 92

So that means x is 11

Answer: help me with my questions

Step-by-step explanation:

Click on my profile answer my question and get branliest

Answer:

The constant is 5 and the coefficient is 3.

Step-by-step explanation:

The constant is something that does not change, which would be 5 because it stays 5 no matter what.

The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.

I hope this helps! :)

Answer:

The probability that both roses are red 1/12.

The probability that both roses are pink is 1/9.

The probability that both roses are white is 5/36.

Adding these probabilities together, we get 11/36.

So the probability that both roses will be the same color is 11/36.

Step-by-step explanation:

Answer:

c. 5

Step-by-step explanation:

1.5m = 1.5*100 cm = 150 cm

Divide 150 cm by 30 cm,

150/30 = 5

Answer:

x = 0.5

Step-by-step explanation:

the denominator of the rational expression cannot be zero as this would make it undefined.

we have to therefore equate the numerator to zero and solve for x

3x - 1.5 = 0 ( add 1.5 to both sides )

3x = 1.5 ( divide both sides by 3 )

x = 0.5

As a check

\(\frac{3x-1.5}{0.9-1.5}\)

= \(\frac{3(0.5)-1.5}{-0.6}\)

= \(\frac{1.5-1.5}{-0.6}\)

= \(\frac{0}{-0.6}\)

= 0 thus solution is verified