Please help with this question I really need help

Answer:

WC

Step-by-step explanation:

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

Factorisation is defined as the breaking or decomposition of an entity. Given the quadratic equation below;

y=x² - 4x - 5

Factorize

y = x^2 - 5x + x - 5

y = x(x - 5) + 1(x - 5)

y = (x+1)(x-5)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

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Answer:

-4.5

Step-by-step explanation:

You arrange the numbers from lowest to highest value:

-17, -12, -11, -10, -7, -2, 7, 10, 16, 20

Then you find the one in the middle:

-7, -2

Because there are two in the middle, you add them and divide them by two:

(-7 + -2)/2 = -4.5

Your answer is -4.5.

Step-by-step explanation:

firstly arrange it increasingly

-2,-7,-10,-11,-17, 7,10,16,20

n=9 it is odd so we use (n+1/2 )th formula

9+1/2

10/2=5th

os it is -17

Answer:

200 cans.

Step-by-step explanation:

f(c)=10r + 120

Put t=8 into it

T(c) = 10 x 8 + 120

=200 cans

(Use substitution method)

Answer: F

Step-by-step explanation:

For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.

2x=10

x=5

Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.

The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.

Answer:

Equation: 5x+5 = 30

x = 5

Step-by-step explanation:

Since vertically opposite angles are equal, then;

5x+5 = 30

Subtract 5 from both sides

5x +5-5 = 30-5

5x = 25

x = 25/5

x = 5

The required equation is 5x+5 = 30 (vertically opposite angles are equal)

The value of x is 5

The correct options about the equation are:

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

A linear equation can be used to model data from a scatter plot that exhibits an approximately linear relationship. There is always a linear model that can be used to depict the relationship between two quantities. The proximity of the points to a line with a positive slope is indicated by a correlation coefficient that is close to 1.

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The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

rotation

Step-by-step explanation:

same place just rotated up

Dimension of smaller garden :

l = 1/2 ft.

b = 2/3 ft.

Dimension of bigger garden :

L = 4 ft.

Let , breadth be x ft.

We know , area is given by :

Area = L×B.

Area of small garden = \(\dfrac{1}{2}\times\dfrac{2}{3}=\dfrac{1}{3}\ ft^2\)

Area of big garden \(=4\times x=4x\ ft^2\)

Hence, this is the required solution.

Answer:

what????????????????????

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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The exact values of the sine, cosine and tangent of 11 is 0.1908, 0.9816 and 0.1944 respectively.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

11 degrees can be represented in radians as 0.192

Sine of the angle 11 is,

sin (0.192) = 0.1908

Cosine of the angle 11 is,

cos (0.192) = 0.9816

Tangent of the angle 11 is,

tan (0.192) = 0.1908 / 0.9816 = 0.1944

Hence the trigonometric functions of 11 are sin (0.192) = 0.1908, cos (0.192) = 0.9816 and tan (0.192) = 0.1944.

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Answer: choice D

Step-by-step explanation:

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

in this exampke the constant(d) is -3

Answer:

D is the correct answer.

Step-by-step explanation:

because the numbers are decreased by -3

 Defination: in arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:

41

Step-by-step explanation:

0,5r = 20,5|:0,5

r = 41

Answer:

x< 3

Step-by-step explanation:

first you do the things between ( )

but here you can't change anything between te ( )

then you do the multiplying and dividing

so in this case you get

-3-24x-36>-111

then you do + and -

so in this case you get

-24x - 39 > -111

then you want to get the x so you bring everything without an x to the other side

here you get

-24 x > -111+ 39

-24x> -72

then you separate the x completely

so you get

x<-72/-24

x< 3

above you changed the > to an < because you divide with a negative number

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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The equation to represent the total monthly fees charged by the property manager is y = 59 + 0.08x .

In the question ,

it is given that

the per month charge of property by the manager = $59

plus extra 8% of the rent .

let y be the total monthly fees charged by the property manager .

and let x be the monthly rent of the property .

So the total monthly fees = $59 + 8% of the rent

Writing 8% in simplified form = 8/100 = 0.08

so,

total monthly fees = 59 + 0.08x

y = 59 + 0.08x

Therefore , the equation to represent the total monthly fees charged by the property manager is y = 59 + 0.08x .

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If Chee has 12 dimes and 7 quarters, she has Total = $2.95 and If she has x dimes and y quarters, she has Total = 0.10x + 0.25y

what is quarters ?

Quarters refer to a unit of currency in the United States and Canada, equal to 25 cents. It is also used as a term to refer to a coin worth 25 cents.

In the given question,

If Chee has 12 dimes and 7 quarters, she has:

12 × $0.10 = $1.20 from the dimes

7 × $0.25 = $1.75 from the quarters

Total = $1.20 + $1.75 = $2.95

If she has x dimes and y quarters, she has:

x × $0.10 = $0.10x from the dimes

y × $0.25 = $0.25y from the quarters

Total = $0.10x + $0.25y

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Answer:

4,224 in ^3

Step-by-step explanation:

5184-960 (subtract the cut-out from the entire shape)

Considering the expression of a line, the price of the guitar in 2011 is $354.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.

Being:

the slope can be calculated as:

m= (300 - 246)÷ (2008 - 2005)

m= 54÷ 3

m= 18

Considering point 2 and the slope m, you obtain:

300= 18×2008 + b

300= 36,144 + b

300- 36,144 = b

-35,844 = b

Finally, the equation of the line is Price= 18×Year - 35,844

Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:

Price= 18×2011 - 35,844

Solving:

Price= 36,198- 35,844

Price= 354

In summary, the price of the guitar by 2011 is $354.

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We Reject H₀ if t calculated > t tabulated and hence the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, we failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise

The Null and Alternate hypothesis is given by

Null hypotheses = H₀: μ₁ = μ₂

Alternate hypotheses = H₁: μ₁ ≠ μ₂

The test statistic is given by

Where  is the sample mean of people who do not exercise regularly.

Where  is the sample mean of people who do exercise regularly.

Where  is the sample standard deviation of people who do not exercise regularly.

Where  is the sample standard deviation of people who do exercise regularly.

Where  is the sample size of people who do not exercise regularly.

Where  is the sample size of people who do exercise regularly.

The given level of significance is

1 - 0.95 = 0.05

The degree of freedom is

df = 16 + 12 - 2 = 26

From the t-table, df = 26 and significance level 0.05,

t = 2.056 (two-tailed)

Conclusion:

We Reject H₀ if t calculated > t tabulated

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The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.

To determine which package is the better buy, we need to compare the cost per hook for each package.

For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:

Cost per hook = $9.95 / 25 = $0.398

Rounding to the nearest cent, the cost per hook is $0.40.

For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:

Cost per hook = $13.99 / 40 = $0.3498

Rounding to the nearest cent, the cost per hook is $0.35.

Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.

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By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Triangle ABC and DEC are said to congruent since all their sides and angles are equal.

The angle for triangle ABC lies in angle B

The angle for triangle DEC lies in angle E

From the diagram, angles B and E are alternate angles and alternate angles are equal.

A corresponds to D

B corresponds to E

The measure of their angles are also equal

Note, congruent triangles are triangles with three corresponding sides and angles

Therefore, triangle ABC and DEC are said to congruent since all their sides and angles are equal.

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