HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST

In order to find the equivalent of the expression we will need to simplify it, this is done by combining terms with the same variable.

The correct answer would be the fourth option.

The quadratic function that includes the given points is given by y = 3/5x² + 6/5x + 6.

When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic. A "polynomial function of degree 2," then, is a quadratic function.

A quadratic function is one that has the formula f(x) = ax2 + bx + c, where a, b, and c are all integers with a not equal to zero. A parabola is the shape that makes up the graph of a quadratic function. The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

If we put the values of points in the above equation, then we get.

Putting point (0,6) we get

6 = 0 + 0 + c

=> c = 6

Putting point (2,8) we get

8 = 4a + 2b + 6

=> 2 = 4a + 2b

=>  = 2a + b                  ......(1)

Putting point (3,-3) we get

-3 = 9a + 3b + 6

=> -9 = 9a + 3b

=> -3 = 3a + b                 ......(2)

From equation (1) b = 2a. Substitute the value of b in equation (2) we get

3 = 3a +  2a

=> a = 3/5

Now, b = 6/5

The quadratic function that includes the given points is given by y = 3/5x² + 6/5x + 6.

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The amount of coffee that was imported in 2007 is 2.0606 million pounds.

It should be noted that a function simply s used to illustrate the relationship between the variables given.

From the information, the function is illustrated as:

= 0.7166x² + 6.267x + 1.344

x represents 1997 which was given as 0.

Therefore, the amount in 1997 will be:

= 0.7166x² + 6.267x + 1.344

= 0.7166(0)² + 6.267(0) + 1.344

= 0.7166 + 1.344

= 2.0606 million pounds.

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Answer:

(a+b) 2+4m

Step-by-step explanation:

(a+b) 2+4m

take (a+b) out

Answer: 4am+4bm+2a+2b

Step-by-step explanation:

Distribute: 2(a+b)+4m(a+b)

                  2a+2b+4m(a+b)

Distribute: 2a+2b+4m(a+b)

                  2a+2b+4am+4bm

Rearrange terms: 2a+2b+4am+4bm

                              4am+4bm+2a+2b

Solution: 4am+4bm+2a+2b

The labels of the expression given as 5x² - 7 are

The expression is given as

5x² - 7

As a general rule:

Expressions are represented using variables, terms, factors, coefficients, operators, constant, etc.

Each of these make up an expression

Take for instance, the following expression

axⁿ + b

The features are

Using the above as a guide, the labels of 5x² - 7 are:

Coefficient (5), Constant (7), Exponent  (2) and Variable  (x)

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Answer:

D=17018.18

Step-by-step explanation:

275S=800C
26D=10C
- - -
275S=800C, so 1S=2.9090C
26D=10C, so 1C=2.6D

2250S=6545.4545C
6545.4545C=17018.18D
D=17018.18

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Given: the vector v

To Determine: The direction of the given vector

The vector diagram is as shown below

The direction of a vector is calculated by the formula

From the given vector, determine x and y

Note, the vector is on the fourth quadrant

Hence, the direction of v is 344.1⁰(nearest one decimal place)

Answer

To eliminate x, we will multiply the second equatio by -3.

x = 7

y = 5

Explanation

To solve this, we first write the two equations

-3x - 7y = -56

-7x + 10y = 1

So, to solve this, we need to make sure the factors of x are the same numbers and of opposite signs

So, if we multiply the first equation by 7, we will need to multiply the second equation by -3 to obtain 21x and -21x for the two of them.

(-3x - 7y = -56) × 7

(-7x + 10y = 1) × -3

-21x - 49y = -392

21x - 30y = -3

We will then add the two equations and then the solution for the equation is obtained by solving for y first.

-21x + 21x - 49y - 30y = -392 - 3

0 - 79y = -395

-79y = -395

Divide both sides by -79

(-79y/-79) = (-395/-79)

y = 5

We can then solve for x using any of the two equations

-7x + 10y = 1

-7x + 10(5) = 1

-7x + 50 = 1

-7x = 1 - 50

-7x = -49

Divide both sides by -7

(-7x/-7) = (-49/-7)

x = 7

Hope this Helps!!!

[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ x = \sqrt{18^2+15^2~-~2(18)(15)\cos(105^o)} \implies x = \sqrt{ 549 - 540 \cos(105^o) } \\\\\\ x\approx\sqrt{549-(-139.76)}\implies x\approx\sqrt{688.76}\implies {\Large \begin{array}{llll} x\approx 26.2 \end{array}}[/tex]

Make sure your calculator is in Degree mode.

We have The mean of a data-set is given by the sum of all values in the data-set divided by the number of values, so:

data set has 10 values

mean data set is 80

The 9 readable scores have a mean of 84, this is: 9 x 84 = 756

the value of the unreadable score is x

Therefore, the mean is:

then solve for x:

Answer: the value of unreadable score is 44

A linear association is a straight-line relationship between two variables

positive association when above-averagevalues of one tend to accompany above-average values of the

other, and when below-average values also tend to occur together

Hence Linear association and positive association describe the scatter plot in the diagram

The first and the third option is correct

Evaluate the value of expression.

So answer is 9/2 or 4 1/2.

In a translation, the general translation of y=f(x) is that y=f(x+a) if f(x) is translated by a units towards left direction or downward and y = f(x) = f(x-a) is f(x) is translated by "a" units towards right direction or upward

Hence:

Translation of y =|x|

a) 3 units up

y = | x - 3|

b) left 2 units

y = | x+2|

The values of x and y that makes the expression are x = 4 and y = -5

The expression is given as

(4 + 5i)(x + yi)

The above expression is a complex expression

As a general rule, complex expressions are represented as a + bi

Where a is the real part and bi is the complex part

Also, we have

i = √-1

Using the above as a guide, we have

(4 + 5i)(x + yi)

For the above expression to be a real number, then the following must be true

(4 + 5i) must be a conjugate of (x + yi)

This means that

x + yi = 4 - 5i

By comparison, we have

x = 4 and y = -5

Hence, the values are x = 4 and y = -5

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Answer:

k = 7

Step-by-step explanation:

y = 3x

The slope is 3

Parallel lines have the same slope so a line parallel will have a slope of 3

Using the slope formula

m = (y2-y1)/(x2-x1)

3 = ( 7-1)/(k-5)

3 = 6/(k-5)

Multiply each side by k-5)

3 * (k-5) = 6

Divide each side by 3

k-5 = 6/3

k-5 = 2

Add 5 to each side

k = 7

Let's determine the sum of the following:

Step 1: Make the two fractions into similar fractions.

The LCM of 4 and 7 is 28, thus, let's convert each fraction into one with a denominator of 28.

We get,

Step 2: Add the fractions.

Therefore, the answer is 15/28.

The (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

So, the Root or solution of the equation is the value of the variable that turns an equation into a true statement. ​

For instance,

The equation's solution in this case is x = - 2.

Here, the equation's roots or solutions are x = 1 and -1.

Therefore, the (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

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The complete question is given below:

The value of the variable which makes an equation a true statement is called the ________ of the equation.​

A. Coefficient

B. Equation

C. Solution

D. Algebraic expression

E. Constant

F. Variable

To answer this question we will use the following:

Notice that the given set consists of the real numbers that are greater than or equal to 3 or that are less than or equal to -3, the above statement in algebraic notation is:

Using the first equations we get that the given set can be represented by the following absolute value inequality:

Answer:

0.0095 is the probability that exactly 18 of them use their smartphones in meetings or classes.

How does probability explain work?

Given that ,

p = 0.42

1 - p = 1 - 0.42 = 0.58

n = 30

Using binomial probability formula ,

P(X = x) = (n C x) * px * (1 - p)n - x

P(X = 19 ) = (30 C 19) * (0.42)19 * (0.58)11

              =  0.009481

Probability = 0.0095

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ANSWER

SA = 26π

EXPLANATION

The total surface area is the sum of the areas of the sides of the cylinder:

In this problem r = 1cm and h = 12cm. The areas to sum are the area of the top and the base, which are identical circles, and the area of the rectangle that forms the side:

a) x-intercept: the y coordinate will be zero while the x coordinate will have a value different from zero.

b) y-intercept: the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.

c) The x-intercept: (2, 0)

The y-intercept: (0, 1)

5) a) x-intercept is the value of x when the value of y is zero.

To determine if an ordered pair is an x-intercept, the y coordinate will be zero while the x coordinate will have a value different from zero.

b) y-intercept is the value of y when x is equal to zero.

To determine if an ordered pair is a y-intercept, the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.

c) To get the x-intercept: From the table, we will check for the of x when the value of y = 0

The value of y = 0 when x = 2

The ordered pair: (x, y)

The x-intercept: (2, 0)

To get the y-intercept: we will check for the value of y when x = 0

The value of x = 0 when y = 1

The ordered pair: (x, y)

The y-intercept: (0, 1)

The median of the legs of a triangle joins the vertex to the midpoint of the opposite side of the triangle. Hence, they are congruent. The correct postulate is (D) SAS See proof below.

Congruent triangles are those with the same size and form. This signifies that the respective sides are equal, as are the corresponding angles.

The median of a triangle's legs connects the vertex to the midway of the opposing side of the triangle. An isosceles triangle has two sides and angles that are congruent.

This suggests that postulates AAA and SSS are ruled out.

This is because both postulates entail that the triangles' sides and angles are congruent.

Sides AB and AC are congruent (S)

Sides CD and BD are also congruent (S)

Angles at D on both triangles are congruent (A)

These mean that:

The triangles are congruent by the SAS postulate. Thus, the correct postulate is (d) SAS

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Full Question:

Prove that the medians to the legs of an isosceles triangle are congruent. What rule did you use to prove triangles congruent:

1. AAA

2. ASA

3. Cannot be determined

4. SAS

5. SSS

length of the shorter leg = k

length of the longer leg = 2k - 3

length of the hypothenus = 5 + 2k

to solve this problem, we have to use pythagorean theorem

pythagorean theorem states that

hyp = hypothenus

adj = adjacent

opp = opposite

now let's plug in our variables into the equation

this is an equation to find the value of k

we can further simplify this to get a quadratic equation

the above written equation can be used to solve for k

note: in opening the bracket

The 4th term of the expansion is  8z³.

The expression to be expanded is  (y + 2z)³

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket

Therefore,

(y + 2z)³ =  (y + 2z)(y + 2z)(y + 2z)

Therefore,

(y + 2z)(y + 2z) = y² + 2yz + 2yz + 4z²

y² + 2yz + 2yz + 4z² = y² + 4yz + 4z²

Hence,

y² + 4yz + 4z² (y + 2z) = y³ + 2y²z + 4y²z + 8yz² + 4yz² + 8z³

Therefore,

(y + 2z)³ =  y³ + 2y²z + 4y²z + 8yz² + 4yz² + 8z³

(y + 2z)³ = y³ + 6y²z + 12yz² + 8z³

Therefore, the 4th term is 8z³

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Answer:

C, a transcript of information from DNA

Step-by-step explanation:

mRNA is option C.) “a transcript of information from DNA.”

The role of messenger RNA is to transfer information across the cell. This process has to work this way because DNA cannot leave the nucleus, while RNA can. mRNA uses ribose to provide instructions to ribosomes on how the cell makes proteins.

The simple interest is given by:

Where:

PV = Present value or principal

I = Interest

r = rate

t = time

Solve for PV:

Answer:

$602.4

Solution:3.16

Analysis: In the first step, we need to find the mean of values we have in the exercise:

Now, let's find the standard deviation:

Subtract the mean from each of the data values and list the differences.

6-6=0

8-6=2

5-6=-1

11-6=5

4-6=-2

2-6=-4

Now, let's square each of the differences from the previous step and make a list of the squares.

Now, let's add the squares from the previous step:

0+4+1+25+4+16=50.

Let's use the formula

1. Variable

• x: number of passengers

From the description of the problem, the number of passengers must be at most 3000. Mathematically:

x ≤ 3000

This inequality can be represented in a number line as follows: