What’s the correct answer for this?

Answer:

D & E

Step-by-step explanation:

4\(x^{2}\) + 32x + 60 = 0

divide whole eqn by 4

\(x^{2}\) + 8x + 15 = 0

(x + 3)(x + 5) = 0

x = -3 or  -5

Answer:

The graph of the function y = sin^-1(x) passes through the point (0, pi/2). The inverse sine function, also known as the arcsine function, is defined as the inverse of the sine function. This means that if y = sin^-1(x), then x = sin(y). Therefore, when y = pi/2, x = sin(pi/2) = 1. The point (0, pi/2) lies on the graph of the inverse sine function, so it is the correct answer.

Step-by-step explanation:

Answer: The graph of  \(y=cos^{-1}(x)\) is passes through the point (0,π/2) .

The graph of a function \(f\) is the set of ordered pairs \((x,f(x))\) . The set of ordered pairs are a subset of \(R^{2}\) . So, by putting all of  \((x,f(x))\) on the cartesian plane we can draw a curve.

By putting \(x=0\) and \(y=\pi /2\) in \(y=cos^{-1}(x)\) we get,

\(R.H.S.=cos^{-1}(0)=\pi /2\)   and  \(L.H.S.=y=\pi /2\).

Therefore, \(L.H.S=R.H.S\) .

By putting \(x=0\) and \(y=\pi /2\)  in  \(y=cosec^{-1} (x)\) we get,

\(R.H.S=cosec^{-1} (0)\) is undefined and  \(L.H.S=\pi /2\).

Therefore, \(L.H.S\neq R.H.S\).

By putting \(x=0\) and \(y=\pi /2\) we get,

\(R.H.S=sec^{-1}(0)\) is undefined and \(L.H.S=\pi /2\)

Therefore, \(L.H.S\neq R.H.S\).

By putting \(x=0\) and \(y=\pi /2\)  in \(y=sin^{-1}(x)\) we get

\(R.H.S=sin^{-1} (0)=0\) and \(L.H.S=\pi /2\)

\(L.H.S\neq R.H.S\).

Hence \((0,\pi /2)\) passes through \(y=cos^{-1}(x)\)

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Answer:

Step-by-step explanation:

draw any angle which has like a edge inside it. like anything.

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

D) $2.81

Step-by-step explanation:

3.8 x .74 = 2.81

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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The range of the graphed function in this problem is given as follows:

[-9, 9].

The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:

[-9, 9].

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Answer:

325

Step-by-step explanation:

i dont know

The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

Since x is an integer, we have

K = {…, -6, -5, -4, -3, -2}

Y = {2, 3, 4, 5}

Z = {…, -1, 0, 1, 2, 3}

Then

(i)

Y U Z = {…, -1, 0, 1, 2, 3, 4, 5}

==>   K ∩ (Y U Z) = {…, -6, -5, -4, -3, -2} = K

(ii)

K ∩ Y = { } (empty set)

K ∩ Z = {…, -6, -5, -4, -3, -2} = K

==>   (K ∩ Y) U (K ∩ Z) = { } U K = K

(iii) This is a demonstration of the distributive property. That is, the intersection distributes over a union:

K ∩ (Y U Z) = (K ∩ Y) U (K ∩ Z)

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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Step-by-step explanation:

7^3 × 7^(1÷2)

= 7^(3+ 0.5)

=7^3.5 ans

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

The number of sun flowers with a height  of 27¹/₂ inches or more are 4 more than those with a height of less than 27¹/₂ inches

A dot plot, which is also known as a strip plot or dot chart, is a simple form of data visualization that comprises of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.

The number of heights below 27¹/₂ inches that exists in the given dot plot is seen to be 8 in number.

Similarly, the number of dot plots that exists above or equel to 27¹/₂ inches from the given dot plot are 12 in number.

Therefore, we can say that:

Difference in total number for both parameters = 12 - 8= 4

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Answer:

after 13 hours

Step-by-step explanation:

Since the monthly fee is $4.25

so

● $4.25 + ( 2.75 × Number of hours) = 40

● ( 2.75 × Number of hours) = $40 - $4.25

● 35.75/ 2.75 = 13

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.

__

You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).

Solution:

Given:

To get the number that is the greatest, we convert the numbers in scientific notation to ordinary numbers and then compare.

Therefore, the greatest among the numbers is;

Hence, OPTION A is the correct answer.

The value of the the integer is 1 or 5

An integer is a whole number that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1

Let's represent the integer by x, therefore

six times an integer minus 5 equals the square of the integer can be put into equation as:

6x-5 = x²

x² - 6x +5 = 0

x²-5x - x + 5 = 0

(x²-5x)(-x+5) = 0

x(x-5) - 1 ( x -5) = 0

(x-1)(x-5) = 0

therefore x-1 = 0 or x-5 = 0

x = 1 or 5

therefore the value of the integer can either be 5 or 1

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Answer:

a) 1/9

b) 1/18

c) 0

Step-by-step explanation:

a) if we make a chart, like the one I attached, (the numbers aren't correct, just look at the template), we find the answers by subtracting each number.

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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Answer:

The cost of 5 apples.

Step-by-step explanation:

Typically the equation would be written as C(n) = 4.50

Since 5 is where 'n' should be, then that means the number of apples in the equation is five.

C(5) = 4.50

Means, that 5 apples cost $4.50

The step with the proof that has a flaw is Step 2, AB ≅ BC, Symmetric Property.

Step 2 is the flaw in the proof. The symmetric property states that if AB = BC, then BC = AB. It does not justify that AB = BC in the first place.

Therefore, the proof needs additional steps to justify that AB and BC are congruent. One possible way to do this is to use the definition of a midpoint and the segment addition postulate as follows:

Step 1 | B is the midpoint of AC | Given

Step 2 | AB + BC = AC | Segment Addition Postulate

Step 3 | AB + AB = AC | Definition of midpoint (since B is the midpoint of AC)

Step 4 | 2AB = AC | Simplification

Step 5 | AB = AC/2 | Division Property of Equality

Step 6 | AB = BC | Substitution Property of Equality

Step 7 | _____ | Q.E.D.

Step 6 follows from the fact that B is the midpoint of AC, so AC = 2AB. Substituting AC/2 for AB in Step 2 gives AB + BC = AC/2 + BC, which simplifies to AB = BC. Therefore, Step 6 uses the transitive property of equality, which is a valid property of equality.

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Answer:

A 14-ounce package that costs $5.46

Answer:

There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange 4/11 from the entine quantity of fruits- strawberry

3/11-grapes

2/11- cherries

1/11- apples

1/11- oranges } ⇒ the quantity of oranges and apples are equal Hope it helps ;>