quadratic inequality solve x²-5x > 5

Answer:

a₄ = 0

Step-by-step explanation:

using the recursive rule [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 2 and a₁ = 6 , then

a₂ = a₁ - 2 = 6 - 2 = 4

a₃ = a₂ - 2 = 4 - 2 = 2

a₄ = a₃ - 2 = 2 - 2 = 0

Answer:

23.75483

Step-by-step explanation:

I used a calculator lol

Answer:

You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.

Step-by-step explanation:

In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).

Helpful Tip!:)

The solution to the equation 5x + 9y = 561 and 5x + 6y = 276 is x = -58.8, y = 95

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Given the equation:

5x + 9y = 561    (1)

Let us assume the second equation is:

5x + 6y = 276     (2)

To solve using elimination method, subtract equation 2 from 1:

3y = 285

y = 95

Put y = 95 in equation 1:

5x + 9(95) = 561

5x = -284

x = -58.8

The solution is x = -58.8, y = 95

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Answer:

The equation that can be used to find y, the height of the first bounce, in inches, when the ball is dropped from a height of x inches is y=x/2. This can be determined by analyzing the data in the table:

-When the ball is dropped from a height of 10 inches, the height of the first bounce is 5 inches (y=5).

-When the ball is dropped from a height of 20 inches, the height of the first bounce is 10 inches (y=10).

-When the ball is dropped from a height of 30 inches, the height of the first bounce is 15 inches (y=15).

In all these cases, the height of the first bounce is half the height of the drop, meaning that the equation y=x/2 is the correct one

Answer:

B) y = x/2

Step-by-step explanation:

When the ball is dropped 10 inches, the ball bounces 5 inches

5 = 10/2

When the ball is dropped 20 inches, the ball bounces 10 inches.

10 = 20/2

When the ball is dropped 30 inches, the ball bounces 15 inches.

15 = 30/2

Answer:

6x

Step-by-step explanation:

Combine like terms

The matrix products are given as follows:

a. AB = [58 -6 24]

        [18 63 45]

        [-22, -39, -33]

b. BA = [32 -26]

            [10 56]

The addition A + B is not possible to obtain, the matrices have different dimensions.

The dimensions of each matrix are given as follows:

Hence the dimensions of each product are given as follows:

To multiply matrices, the rows of the first are multiplied by the columns of the second, hence matrix AB is obtained as follows:

Hence the matrix AB is given as follows:

AB = [58 -6 24]

        [18 63 45]

        [-22, -39, -33]

Matrix BA is obtained as follows:

Hence the matrix BA is given as follows:

BA = [32 -26]

        [10 56]

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The domain of the area of the given rectangle is; 0 < A < 1

The subject of a formula is defined as the variable that is being worked out. This subject of formula can be easily recognized as the letter that is on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = bh, the subject of the formula is A.

Now, we are told that the rectangle has perimeter of 8 m.

The formula for the perimeter of a rectangle is;

P = 2(L + W)

We are told that the perimeter is 8 m. Thus;

2(L + W) = 8

L + W = 4

W = 4 - L

Formula for area of a rectangle is;

A = LW

Thus;

A = L(4 - L)

A = 4L - 4L²

At A = 0, we have L = 0 OR 1

The value of A cannot be zero or 1 and as such the domain of A is the;

0 < A < 1

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Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

Answer:

y>\frac{2}{3} x+4

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

Hope this helps :)

The first steps of the accounting cycle is post journal data to a ledger.The process then involves entering the transaction ,find and evaluate transactions.

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Answer:

B. separate cash and bank card receipts from on account receipts.

Address the root of both issues radius  is  3 √ 6 v π ^2 / 2 π.

r is radius and v is volume.

Write the equation as follows:

4/3 ⋅ ( π r 3 ) = v . 4 /3 ⋅ ( π r 3 ) = v

Divide the two sides of the equation by 1 4 3.

1 / 4 . 3 π ( 4 / 3 ⋅ ( π r 3 ) ) = 1 /4 . 3π v

Simplify the issue from both perspectives.

For more steps, tap.

r 3 = 3 v 4 \sπ

To get rid of the exponent on the left side, take the required root from both sides of the equation.

To get rid of the exponent on the left side, take the required root from both sides of the equation. = 3 √ 3 v /4 π

3 3 v 4 should be made simpler.

For more steps, tap.

r = 3 √ 6 v π ^2 / 2π.

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Answer:

30 TENTHS + 7 HUNDREDTHS

Step-by-step explanation:

Adrian must multiply his money by 1.03 to find his total balance in a year in one step.

The following calculation must be done in order to determine what Adrian should multiply his current balance by in order to find his total balance in a year in one step, assuming that no money will be added to or subtracted from the investment. Adrian invests money in an account that offers simple interest of 3% per year.

Current balance = X

Interest = 3% = 3/100 = 0.03

Interest + principal = 1.03

1.03X = Total balance in a year

Therefore, Adrian must multiply his money by 1.03 to find his total balance in a year in one step.

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Answer:

Ms. Nahar is 7 years old.

Step-by-step explanation:

21/7 =3

Answer:

She is 7 years old if he is 21

Step-by-step explanation:

21/3

The simplified form of the given expression is 3(i-2)

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4x + y, the two terms are 4x and y.

Given is an expression, (−8+i)+(2+2i)

Simplifying the expression,

(−8+i)+(2+2i)

= -8 + i + 2 + 2i

= -8+2+2i+i

= -6+31i

= 3(i-2)

Hence, the simplified expression is 3(i-2)

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Answer:

The answer is, 5² + 12² = AC²

This is the Pythagorean theorem which states that sum of the squares of the two sides of a right angled triangle is equal to the square of the hypotenuse.

base² + height² = hypotenuse² or in this case, 5² + 12² = AC²

Pls mark as brainliest. I really need for no apparent reason. Cheers

Answer:

Area = 15.6 cm²

Step-by-step explanation:

Area of a rectangle = long * wide

Then:

Area of a rectangle = 6.5 cms * 2.4 cm

Area of a rectangle = 15.6 cm²

Ratio of concentrate and water in 1:1 would be most reliable for this situation. Thus, A is the correct option.

A ratio is a way to compare two or more comparable quantities by writing the numbers with a colon in between each one. The figures must be whole numbers without any units.

You must practise the techniques described here repeatedly until they are automatic in order to master them. After reading this text and/or watching the related video tutorial, you should be able to:

• calculate the ratio of two or more similar quantities, regardless of whether they are expressed in the same units;

• divide a quantity into a number of parts in given ratios;

• use ratios to scale up or scale down a list of ingredients.

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Correct answer:

A customer wants to make screen wash from concentrate and water.

The diagram shows the amount of concentrate she puts into a container.

ml

1000

800

600

400

200

The customer adds water into the container up to the 1000 ml division. Which Ratio of concentrate and water would be most reliable.

A.  1:1

B. 4:5

C. 2:5

D. 1:5

Anderson's mistake in solving the rational expression, is he cancelled out variable and numbers without taking them in common.

A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.

Given that, Anderson multiplies two rational expressions with the following results.

The given expression is  [tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1} = \frac{-1}{-8x(x^{2} +2)}[/tex]

His error is, he cancelled out the variables and numbers without taking them common, we can not cancel variables and numbers if they are in addition or subtraction with other variables and numbers.

Hence, the correct solution is;

[tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1}\\\\= \frac{(x+4)(x-4)}{x^{2} -4x-4x+16} . \frac{x+1}{x^{2} +x+x+1} \\= \frac{(x+4)(x-4)}{(x-4)(x-4)} .\frac{x+1}{(x+1)(x+1)} \\=\frac{x+4}{(x-4)(x+1)}[/tex]

Hence, the correct solution is [tex]=\frac{x+4}{(x-4)(x+1)}[/tex]

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The dimensions of the sides of the triangular flower bed are 27ft, 54ft and 52ft.

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

Given the data in the question;

Let the shortest side b x.

Since a triangle has three side, the perimeter of the triangle will be;

Perimeter = side 1 + side 2 + side 3

Plug in the values and solve for x

133 = x + 2x + x +25

133 = 4x + 25

133 - 25 = 4x

108 = 4x

4x = 108

x = 108/4

x = 27

Therefore, the dimensions of the flower bed are;

Shortest side = x = 27ft

Second side = 2x = 2( 27) = 54 ft.

Third side = x + 25 = 27 + 25 = 52 ft

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Answer:

total probability (1,1),(1,2),(1,3)(1,4) (1,5)(1,6)

 (2,1) (2,2) (2,3) (2,4) (2,5)(2,6)

(3,1)(3,2)3,3 3,4) (3,5) (3,6)

(4,1) (4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

3/36=1/12

Step-by-step explanation:

Answer:

Easy, A is 4.1

Step-by-step explanation:

I just finished this too

the interest the bond paid off is $7507.8125.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

a bond that paid 7.75% simple interest earned $3,875 interest.

S = (3875*7.75*25)/100 = $7507.8125

Hence the interest the bond paid off is $7507.8125.

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The area of a triangle can be calculated if we know the lengths of all three sides of the triangle or the lengths of two sides and the measure of the included angle. In this case, we are given the lengths of two sides of the triangle (7 yards and 9 yards) and the measure of the included angle (49 degrees).

To find the length of the third side we can use the Law of Cosines. Which states that, in a triangle with sides a, b and c, and an angle C opposite to side c, c² = a² + b² - 2ab * cos(C).

In this case, a = 7, b = 9 and C = 49. So, we can calculate the value of c which is the length of the third side. Once we have this value, we can use Heron's formula, which states that the area of the triangle is equal to √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle (s = (a+b+c)/2).

By using these formulas we can calculate the area of the triangle which is approximately 25.38 square yards.

I hope this helps :)

Answer:

b) The bond Sandy purchased has a face value of $2500 and a coupon rate of 7%. The coupon rate is the interest rate paid on the bond, which is typically paid semiannually. To find how much interest Sandy will receive semiannually, we can use the formula:

Interest = Face value x Coupon rate / 2

Interest = $2500 x 7% / 2 = $87.50

So Sandy will receive $87.50 in interest semiannually from the bond.

c) The fund Sandy invested in is expected to grow by 3.5% per year. To find how long it will take for the fund to be worth $10,000, we can use the formula:

Future value = Present value x (1 + Interest rate)^Years

We can solve for Years by dividing both sides of the equation by the present value and taking the natural logarithm of both sides:

Years = ln(Future value/Present value) / ln(1 + Interest rate)

Years = ln(10000/5000) / ln(1.035)

Years = 7.19

Therefore, the fund will take about 7.19 years to be worth $10,000.

d) Sandy's gross annual income is $51,350. She is paid biweekly, and 5% of her paycheck is deducted for her 403(b). Her employer matches her deduction, up to 4%. To find how much is deposited into Sandy's 403(b) each payday, we can use the following formula:

Contribution = (Gross pay x Contribution rate) + (Employer match x Employee contribution)

Gross pay = $51,350/26 (for bi-weekly paycheck) = $1977.50

Contribution = ($1977.50 x 5%) + ($1977.50 x 5% x 4%) = $98.87

So, $98.87 is deposited into Sandy's 403(b) each payday.

Answer: 21 new children have come.

Data :

We simply have to subtract the number of children playing from the number of children who arrived after a while:

[tex]\bf \: 43 - 22 = 21[/tex]

We check:

[tex]\bf \: 22 + 21 = 43[/tex]

Rpt: 21 new children have come.

Answer:

[tex]x\ge -7[/tex]

Step-by-step explanation:

The square root function has a domain consisting of numbers greater than or equal to zero. This excludes negative numbers since the square root of a number, when multiplied by the same square root of a number results in the original number: [tex]y=\sqrt{x}\implies y*y=x[/tex]. If we wanted the square root of a negative number, we would need a number which multiplies by it self to get a negative number, but as you may recall, if we square a real number, we always get a positive. So negative numbers are not included in the domain (although there are imaginary solutions)

So we just need the inside of the square root to be greater than or equal to zero. Thus we can derive: [tex]x+7\ge 0[/tex] and then just subtract 7 from both sides to simplify: [tex]x\ge -7[/tex] and now we have our domain in interval notation.

The perimeter of polygon ABC = 67.4

The perimeter of polygon PQRS = 78.8

The perimeter of a polygon is calculated by adding the lengths of all sides of the polygon together.

The Two-Tangent Theorem states that if two tangents are drawn to a circle from the same external point, then the tangents are congruent (have the same length).

Perimeter of polygon ABC = AB + BC + AC

AB = 10.5 + (23.2 - 11.2) = 22.5 [based on the Two-Tangent Theorem]

BC = 23.2

AC = 10.5 + 11.2 = 21.7

Perimeter of polygon ABC = 22.5 + 23.2 + 21.7 = 67.4

Perimeter of polygon PQRS = PQ + QR + RS + PS

PQ = 25

PS = 21.8

QR = 13 + 4.6 = 17.6

RS = 4.6  + 9.8 = 14.4

Perimeter of polygon PQRS = 25 + 21.8 + 17.6 + 14.4 = 78.8

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Answer:

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

We know that the area of a rectangle with same dimensions is twice the area of a triangle.

The shaded area is half the area of the rectangle:

You already divided it to rectangle and triangle.

Area of rectangle:

The triangle have same base, 12 units. It height is 16 - 10 = 6 units.

Its area is:

Area of the small rectangle in the middle:

The shaded area is the difference of the total area and the small rectangle: