Factorise fully the following:
a) x² - 2x
b) 6x^2+ 12x
c) 3x^3- 9x
d) 4x^2+ 28x^3

1. A reasonable price for my friend to sell the car is $13,480.

2. This price is determined as an average of the prices of similar cars.

An average is a typical value in a dataset.

An average is the mean of a set of numbers.

The average value can be computed by summing the set of numbers and dividing the result by the number of items.

Prices of similar cars:

A. 13,500

B. 12,900

C. 15,300

D. 13,700

E. 12,000

Sum = $67,400

Average = $ 13,480 ($67,400/5)

Thus, a reasonable price for my friend to sell the car is $13,480, which is the average price of similar cars.

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Answer:

b. 9 units

Step-by-step explanation:

30/2 -6 = 15-6 = 9

Answer:

9

Step-by-step explain

6+6=12

12+x=30

30-12=18

18/2 =9

Answer:

x=28 degrees

Step-by-step explanation:

4x = 28*4 = 112

180 degrees - 112 = 68

ACD = 68

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

4 cookies

Step-by-step explanation:

2c + 3m = 18

2c + 3(3) = 18

2c + 9 = 18

2c = 9

c = 4.5

since you can't buy 4.5 cookies, you can only have 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The solution of both equations is all points on the line, therefore, John is not correct.

Given that,

The system of equations is as follows;

According to the question,

To determine the solution of the system of equation following all the steps given below.

Dividing equation 2 by 2,

After being divided by 2 the equation becomes the same.

In the case of parallel lines, there are no common points.

Intersecting lines have one point in common and coincident lines have infinitely many points in common.

A two-variable system of equations is considered as equations of two lines and they can have infinitely many solutions if these two lines are parallel where they can be expressed as multiples of each other,

Hence, the solution of both equations is all points on the line, therefore, John is not correct.

Step-by-step explanation:

ohhh and pls make me branliest

Answer:

The combination that gives the most profit is 12 VIP rings and 12 SST rings (900 $/day).

Step-by-step explanation:

This is a linear programming problem.

The objective function is profit R, which has to be maximized.

\(R=40V+35S\)

being V: number of VIP rings produced, and S: number of SST rings produced.

The restrictions are

- Amount of rings (less or equal than 24 a day):

\(V+S\leq24\)

- Amount of man-hours (up to 60 man-hours per day):

\(3V+2S\leq60\)

- The number of rings of each type is a positive integer:

\(V, \;S\geq 0\)

This restrictions can be graphed and then limit the feasible region. The graph is attached.

We get 3 points, in which 2 of the restrictions are saturated. In one of these three points lies the combination of V and S that maximizes profit.

The points and the values for the profit function in that point are:

Point 1: V=0 and S=24.

\(R=40V+35S=40\cdot 0+35\cdot 24=0+840\\\\R=840\)

Point 2: V=12 and S=12

\(R=40V+35S=40\cdot 12+35\cdot 12=480+420\\\\R=900\)

Point 3: V=20 and S=0

\(R=40V+35S=40\cdot 20+35\cdot 0=800+0\\\\R=800\)

The combination that gives the most profit is 12 VIP rings and 12 SST rings (900 $/day).

The value of the probability is 0.0714.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

From the given information:

A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.If we choose a marble, then another marble without putting the first one back in the bag.

Then

A bag contains 2+2+4=8 marbles in total.

We have to search out the probability of the subsequent events:

1. we've to settle on a red marble from the bag that contains 8 marbles in total, 2 of them are red

2. we've to decide on a green marble from the bag that contains 7 marbles in total, 2 of them are green.

The probability of the primary event to happens is:

P(one) = 2/8 = 1/4.

The probability of the second event to happen is:

P(two) = 2/7

The probability of both events to happen is:

P = P(one) * P(two)

P = 1/4 * 2/7

P = 1/14

P = 0.0714.

So, The value of the probability is 0.0714.

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Answer:

\(x = 14\)

Step-by-step explanation:

Given

\(COP = 11x- 17\)

\(TOD = 9x + 11\)

Required

Determine x

Since COP and TOD are vertical angles, we have:

\(COP = TOD\)

\(11x - 17 = 9x + 11\)

Collect Like Terms

\(11x-9x = 11+17\)

\(2x = 28\)

\(x = 14\)

The remainder you got when 3x³ - 5x² - 23x + 24 is divided by x - 3 is -9.

Polynomials are expressions in algebra which consist of both variables and coefficients. Sometimes, variables are also known as indeterminates. Polynomials are classified as monomials, binomials, and trinomials based on the degree of the variables in the expression.

Variables in the monomials, binomials and trinomials have the highest degree equals 1, 2 and 3 respectively.

By doing the long division method, we will bet the quotient as 3x² + 4x - 11 and the remainder equals -9.

Let's check this using division algorithm.

Dividend = 3x³ - 5x² - 23x + 24

Divisor = x - 3

Quotient = 3x² + 4x - 11

Remainder = -9

By division algorithm,

Dividend = (Divisor × Quotient) + Remainder

3x³ - 5x² - 23x + 24  = [(x - 3) (3x² + 4x - 11)] + -9

                                 = [3x³ + 4x² - 11x - 9x² - 12x + 33] + -9

                                 = 3x³ + 4x² - 9x² - 11x - 12x + 33 - 9

                                 = 3x³ - 5x² - 23x + 24

Hence -9 is the remainder of this division process.

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Answer:

40 minutes

Step-by-step explanation:

The first train leaves at 6:15 am

The second train leaves at 6:55 am

You can subtract the second train time with the first train time.

6:55am -6:15am = 40 minutes

Therefore, the second train left 40 minutes after the first train. :)

The trigonometric ratio for the cosine of the angle W derived as 48.18712, is equal to 0.6667.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

cos W = 10/15 {adjacent/hypotenuse}

cos W = 2/3

W = cos⁻¹(2/3) {cross multiplication}

W = 48.18712

cos W = cos 48.18712

Therefore, the cosine of the angle W is equal to using the trigonometric ratio.

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Answer:

-160 is the answer

Step-by-step explanation:

- × - = +

+ × + = +

so,-32-128

=-160

Answer:

y = 2x + 6

Step-by-step explanation:

We are given that a line runs through the points (-4,-2) and (-2,2).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

First, we need to find the slope of the line.

The slope can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points.

Even though we have two points, let's label the values of the points to avoid confusion & mistakes.

\(x_1=-4\\y_1=-2\\x_2=-2\\y_2=2\)

Now let's find the slope (remember: the formula has subtraction):

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{2--2}{-2--4}\)

This can be simplified:

m=\(\frac{2+2}{-2+4}\)

Add the numbers together.

m=\(\frac{4}{2}\)

Divide.

m = 2

The slope of the line is 2.

We can substitute this into the equation for m.

Here is the equation of the line so far:

y = 2x + b

We now need to find b.

As the equation passes through both (-4, -2) and (-2, 2), we can use either one of them to help solve for b.

Taking (-4, -2) for instance:

Substitute -4 as x and -2 as y in the equation we have.

-2 = 2(-4) + b

Multiply.

-2 = -8 + b

Add 8 to both sides.

6 = b

Substitute 6 as b into the equation.

y = 2x + 6

Topic: finding the equation of the line (slope-intercept form)

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Answer:

I think the answer is 6 b/c I draw the line and I get the short line b/n 40 and 34. if u want to get it more draw and get the point

Answer:

20x + 8

Step-by-step explanation:

5*4x + 5*5 -17

20x +25 -17

20x + 8

Sales tax: $206.25

■ Cost/Price before ST: $2,750.00

■ Total Cost/Price including ST: $2,956.25

Answer:

Plss this question is Soo blurry I can't read it can u retake this plss?

The company spends making tablets each year, you can multiply the number of tablets by the cost per tablet so the company spends about $500 million making tablets each year.

Its origins lie in the Latin word moneta, which was given to the Roman goddess Juno, at whose temple or close by, or both, the Romans first started minting coins approximately 300 BCE.

We may multiply the quantity of tablets produced by the cost of producing each tablet to see how much money the company spends annually making tablets:

Total cost = Production of tablets x Price per tablet

Number of tablets produced =\(2.5 × 10^7\)

Cost per tablet = $20

Therefore, the total cost = \(2.5 × 10^7 × $20 = $5 × 10^8\)

As a result, the corporation spends over $500 million annually producing tablets.

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The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

0.0625

Step-by-step explanation:

hope this helps :)

Answer:

820

Step-by-step explanation:

Using the given values you can form the equation f(x)=-6.5x+5330 to model this example. All you need to do is look to where the x intercept is and there is you answer.

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1