Part of the graph of the function f(x) = (x + 4)(x - 6) isshown below.Which statements about the function are true? Selecttwo optionsThe vertex of the function is at (1,-25).6The vertex of the function is at (1,-24).The graph is increasing only on the interval -4

Answer:

(x + 3)² + (y - 6)² = 9

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, 6 ) and r = 3 , then

(x - (- 3 )² + (y - 6)² = 3² , that is

(x + 3)² + (y - 6)² = 9

The value of f(x)/g(x)=x-2 for f(x)=x²-x³ + x² and g(x) = -x² and where x # 0 and the definition of function defines "function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)".

A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x². Any input for x results in a single output for y. Considering that x is the input value, we would say that y is a function of x. The property that every input is related to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Here,

f(x)=2x²-x³

g(x)=-x²

f(x)/g(x)=(2x²-x³)/-x²

=x²(2-x)/-x²

f(x)/g(x)=x-2

The definition of function defines "function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)". The value of f(x)/g(x)=x-2 for f(x)=x²-x³ + x² and g(x) = -x² and where x # 0.

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Solution:

Let each cubic block be represented with x

Let each spherical block be represented with y

Let each cylindrical block be represented with z

For A,

3x + y = 2y + z

For B,

3x = 5y

For c,

We want to find 3x + 3y

From

3x + y = 2y + z

3x +y -2y =z

3x-y = z-----------------------(m)

From B,

3x = 5y

Substitute 3x = 5y into (m) above

3x-y = z

5y-y = z

4y = z----------------------------------(b)

From C,

3x + 3y = 5y + 3y = 8y

3x + 3y = 2(4y)

3x + 3y = 2z

Recall, z = cylindrical block

The two blocks that will balance C is cylindrical block

Answer: 2500

Step-by-step explanation: 5x10 = 50. 50x50 = 2500

Answer:

2500

Step-by-step explanation:

We have in a) that

So the answer for a) is 2.8

Now in b) we have that

So the answer for b) is 25%.

Answer:

c=10

Step-by-step explanation:

2c-5= 15

   +5  +5

2c=20

/2   /2

c=10

Hello!

The solution to the problem 2c - 5 = 15 is

c = 10

Step-by-step explanation:

The first step is to add 5 to both sides of the equation.

2c - 5 = 15

2c - 5 + 5 = 15 + 5

The second step is to simplify by adding the numbers.

2c - 5 + 5 = 15 + 5

2c = 20

The third step is to divide both sides of the equation by the same factor.

2c = 20

2c ÷ 2 = 20 ÷ 2

The fourth step is to simply by canceling out the numbers which are present in both the denominator and numerator, then divide.

2c ÷ 2 = 20 ÷ 2

c = 10

Hope this helped!

Answer:

See attached worksheet.

Step-by-step explanation:

See attached worksheet for the table and graph.

I assume that "functation notation: simply means using x and y:  

  y = 2x + 3

The relationship between the number of T-shirts and cost is defined by y = 2t + 3, where:

y is the total cost,

x is the number of t-shirts,

the 2 is the cost for 1 t-shirt ($/t-shirt), and

3 is a one=time charge of $3 for each order.

The graph (attached) shows a straight line with a y-intercept of 3, the initial order fee.  It is linear since the cost of a t-shirt remains the same egardless of order size.

3/10ths if im not wrong

The required inclination of the tower of Pisa as 85.95°.

Given that,
in Italy the leaning Tower of Pisa currently leans at 13 ft. off the vertical. the tower is 183 ft tall. what is the angle of inclination is to be determiend.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
base length is 13 ft,
Hypotenuse length of the tower = 183
According to the question,
Cosx = 13/ 183
x = 85.98°

Thus, the required inclination of the tower of pisa as 85.95°.

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Answer:

y = 2/3 x - 1

Step-by-step explanation:

Parallel slopes are equal.

y = mx + b

m = 2/3

x = 3  Use the x and y given in the point (3,1)

y = 1

Solve for b the y-intercept

y = mx + b

1 = 2/3(3) + b

1 = 2 + b  Subtract 2 from both sides

-1 = b

y= mx +b

y = 2/3x -1

Answer:

Step-by-step explanation:

The value of 4 + n when n = 17

4 + n =

4 + 17 = 21

The percentage error in the measurement of the number of student at the soccer game. given that 315 student was estimated and 350 student were actually at the game is 10%

The percentage error is the measure of the difference between an actual value and a estimate given as a percentage.

The percentage error of her estimate is found from the percentage error formula, as follows;

Where:

δv=The percentage error

[tex]v_A[/tex] = The approximate value or estimated value = 315

[tex]v_E[/tex] = The exact or correct value = 350

Therefore; [tex]\delta = \dfrac{|315 - 350|}{350} \times 100\%= 10\%[/tex]

The percentage error of her estimate is 10%

The method and information used in calculating the percentage error determines the value of the error in percentage, however, based on the values of estimated value of 315, and the actual value of 350, the percentage error is 10%

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Answer:

D

Step-by-step explanation:

22.5÷3 is 7.5 and 52.5÷3 is 7.5 as well

Money is y axis (x,y) and candles is x axis (x,y)

Gabrielle is the correct one.

The largest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x, and y. The GCF stands for the greatest common factor. Here, greatest might be changed to highest, and factor to divisor. Therefore, the greatest common factor is often referred to as the highest common divisor )(HCD), highest common factor (HCF), or greatest common divisor (GCD.

Fractions, which are frequently employed in daily life, are almost always utilized with GCF. Finding the GCF of the denominator and numerator will allow you to obtain the necessary reduced form for simplifying a fraction or ratio. The greatest number that can divide two numbers x and y is their GCF.

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w=L+15

p=(L+w)

150cm=L+L+15

150cm=2L+15

2L=150cm-15

2L=135cm

2L÷2=135cm÷2

L=67.5

w=67.5+15

w=82.5

The degree of a monomial is the power of the variable in the monomial

The degree of a monomial is defined as the highest power of the variable term in the monomial

As a general rule, a monomial has only one term

An instance of a monomial is

ax^n

Using the definition above, the degree of the monomial is n

Simlarly, the degree of x^2 is 2

This is because 2 is the power of the variable term

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Answer:

103.5

Step-by-step explanation:

Answer:

103.5

Step-by-step explanation:

The question is,

→ what is 1656 divided by 16?

Forming as problem,

→ 1656 ÷ 16

Let's solve the problem,

→ 1656 ÷ 16

→ 103.5

Thus, the answer is 103.5.

The coordinates of point C on AB such that AC is 2/3 the length of AB is (2,0)

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

To find out how long AC is, we must first find the length of AB.

According to Pythagoras’ theorem,

[tex]a^2 + b^2 = c^2[/tex].

Thus [tex]4^2 + 6^2 = c^2[/tex].

[tex]16 + 36 = c^2[/tex].

The square root of this is;

c = √52.

AB is 7.21 units long.

2/3 of 7.21 is 4.8

The coordinate that fits this is (2,0).

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Answer:

A = 540 m²

Step-by-step explanation:

consider the shape split into 3 rectangles

the length is divided into 3 congruent sections

single dash = 30 m ÷ 3 = 10 m

the width is divided into 3 congruent sections

double dash = 27 m ÷ 3 = 9 m

then area (A) is the total of the 3 rectangular areas

A of left rectangle = 10 × 9 = 90 m²

A of middle rectangle = 10 × (9 + 9) = 10 × 18 = 180 m²

A of right rectangle = 10 × 27 = 270 m²

total area = 90 + 180 + 270 = 540 m²

By using Permutation, the total number of ways in which we can choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver is 1512.

Permutation is defined as the arrangement of items in a specific or a particular order.

Since there are 3 choices for the position of offensive lineman, and for the next position there are 9 choices, similarly 8 choices for the next position  and 7 choices remain for the last position.

So we get, 3x9x8x7 =1512,  by the concept of Permutation.

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Line c is also perpendicular to line a.

Suppose that c and b are perpendicular. This implies that:

option 1) b and a are the same line or,

option 2) b is parallel to a

Since we know that a and b are different lines, hence, the option 2 is the correct.

Answer:

n=2/5

Step-by-step explanation:

Please look at the image below! :D

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] n + [tex]\frac{3}{4}[/tex] n = [tex]\frac{1}{2}[/tex]            [tex]\frac{1}{2}[/tex] means the same as [tex]\frac{2}{4}[/tex]

[tex]\frac{2}{4}[/tex] n + [tex]\frac{3}{4}[/tex] n = [tex]\frac{1}{2}[/tex]

[tex]\frac{5}{4}[/tex] n = [tex]\frac{1}{2}[/tex]  multiply each side by [tex]\frac{4}{5}[/tex]

[tex](\frac{4}{5})[/tex][tex]\frac{5}{4}[/tex] n = [tex](\frac{4}{5})[/tex][tex]\frac{1}{2}[/tex]

n = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Using the normal distribution, the 98th percentile of the distribution of scores is of 2084.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean of the scores is given as follows:

[tex]\mu = 1468´[/tex]

The 20th percentile is of 1216, meaning that when X = 1216, Z = -0.84, hence the standard deviation is calculated as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{1216 - 1468}{\sigma}[/tex]

[tex]0.84\sigma = 252[/tex]

[tex]\sigma = \frac{252}{0.84}[/tex]

[tex]\sigma = 300[/tex]

The 98th percentile is X when Z = 2.054, hence it is calculated as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

2.054 = (X - 1468)/300

X - 1468 = 300 x 2.054

X = 2084.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Earnings:

January = $2350

February = january + $500

March = twice as much (february)

Step 02:

March's earnings:

February = $2350 + $500 = $2850

March = 2 * $2850 = $5700

The answer is:

She earned $5700 in March

Step-by-step explanation:

a table ? why? what kind ?

it is relatively simple to solve :

x liters of 1% had to be mixed with 12 liters of 4% to get 12+x liters of 2%

x×0.01 + 12×0.04 = (12+x)×0.02 = 12×0.02 + x×0.02

12×0.02 = x×0.01

x = 12×0.02/0.01 = 12×2 = 24 liters

so, 24 liters of 1% had to be added to the 12 liters of 4% to get a 2% mixture (12 + 24 = 36 liters).

First let's find the length of AC using the Pythagorean theorem in the right triangle with legs of 5 and 12:

So the diagonal of the rectangle is 13 units. Now, since the area of a triangle is calculated as the product of a base and the corresponding height, we can use the legs as base and height or we can use the segment AC and the corresponding height, and the result is the same, so we have:

So the distance from B or D to the diagonal AC is 60/13 units.

ANSWER

EXPLANATION

Nick has 4 quarts of ice and he wants to split it with 9 members of the team.

To solve this, we have to convert quarts to cups. We have that:

1 quart = 2 pints

and

1 pint = 2 cups

This means that:

1 quart = 2 * 2 cups

1 quart = 4 cups

So, 4 quarts will be:

4 quarts = 4 * 4 cups

4 quarts = 16 cups

Therefore, dividing the ice cream among 9 people would mean that we have to divide 16 cups by 9 people.

That is:

The complete statement is:

1 quart equals 2 pints, which equals 4 cups, so 4 quarts equals 16 cups. Dividing the ice cream among 9 people means each gets 1 7/9 cup(s)​

x = 5

Given the equation shown:

To get the value of "x", we will divide both sides by -6 to have:

Hence the value of x that satisfies the equation is 5