(Solving quadratic equations) Hello, I need help with just 3 questions. Thanks :)

EXPLANATION:

The first thing to do is graph the given points of the equation to find the position of the angles.

A=(3X+13)

B=(5X+9)

Both equations to find the angle z should give me a total of 180 degrees

By adding and joining both equations, we have the following:

Now plugging the value of x into the first equation to find the angle A gives us:

To check if the measure of angle A is correct, we must also replace x in the second equation to find the value of angle B, which has to give us exactly what is missing to complete the 180 degrees.

Answer:

yes, it is the same

Step-by-step explanation:

7x - 10 = 3x + 18

7x-10+10 = 3x + 18 + 10

7x = 3x + 28

7x - 3x = 3x - 3x + 28

4x = 28

4x ÷ 4 = 28 ÷ 4

x=7

Plug x back in and check the answer.

7x-10 = 3x+18

7(7)-10 = 3(7)+18

49-10 = 21+18

39 = 39

So, YES they are the same.

Answer:

3^14

Step-by-step explanation:

Multiplication of two values with same base and different exponent:

When we are multiplicating two values with the same base and different exponents, we keep the base and add the exponents. For example:

In this question:

Number of chirps would you expect to hear when the temperature is 90 is 200 .

A function from a fixed X to a hard and fast Y assigns to each detail of X exactly one element of Y. The set X is known as the area of the feature and the set Y is known as the codomain of the characteristic.

Calculation:

f(T) = 4(T-40)

       = 4(90-40)

        = 4 × 50

        =  200

A feature is described as a relation between a fixed of inputs having one output each. In easy phrases, a feature is a courting among inputs in which each entry is related to precisely one output. each feature has a website and codomain or variety. A characteristic is commonly denoted by means of f(x) where x is the input.

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Answer:

111.11111111111111111

Step-by-step explanation:

Answer:

25units

Explanation:

Given the following points on the number line

Point P at 16

Point Q at -9

Distance between the points = Point P - Point Q

Distance between the points = 16 - (-9)

Distance between the points = 16 + 9

Distance between the points = 25

Hence the distance between Point P and Point Q on the number line is 25units

Answer:

90degrees

Explanation:

The sum of interior angle of a triangle si 180degrees

Hence, 7x-1 + 4x+1 + 3x - 2 = 180

Collect the like terms;

7x+4x+3x-1+1-2 = 180

14x - 2 = 180

14x = 180+2

14x = 182

x = 182/14

x = 13

Get m

From the triangle;

mSubstitute x = 13 into the expression

mmm

Hence the measure of m

Recall that two equations in standard form represent parallel lines if they are as follows:

Where A>0, and all the coefficients are integers.

Therefore the equation of a parallel line to the given line is as follows:

Since the parallel line passes through (15,4) then:

Simplifying the above result we get:

Therefore:

Solving the above equation for y we get:

Answer: Last option.

Answer:

D

Step-by-step explanation:

The slope of the the straight line equation 3x+5y=11 is (−35)Hence the slope of the line parallel is same to the given line i.e,(−35) We can write the equation in the following form slope intercept form i.e, y=mx+cHere c=−6 and m=−35The answer is y=−35x−6⇒5y=−3x−30⇒3x+5y=−30Hope it helps...Thanks you...

Answer:

The minimum (cut off) score you need to receive this award is;

Explanation:

Given that the top 3% of the students receive a $500 prize.

We will then find the z-score that corresponds to the given probability.

Recall that;

Given;

substituting the values;

Therefore, the minimum (cut off) score you need to receive this award is;

Answer: what shown below?

Step-by-step explanation:

There is a point that doesnt go in the curve.

So the procedure is to replace x by 2 ,and y by 7 in every option to see which doesnt belongs

So we see

Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

Step 3:

Find the Apothem ' a '

Find each angle

Next

Data

• Total phone calls: 154

• Second evening ( ,s ,): 10 more calls than the first evening ( ,f ,)

• Third evening ( ,t ,): 4 times as many calls as ,f

Procedure

We have to translate the given information into algebraic expressions.

• Maria received a total of 154 phone calls at the call center:

where f represents the first evening, s the second, and t the third.

• The second evening, she received 10 more calls than the first evening:

• The third evening, she received 4 times as many calls as the first evening:

As t and s can be used in terms of f, we will replace the second and third equations that we build in the first one:

Eliminating the parenthesis we get:

Solving for f:

Thus, the number of phone calls the first evening was 24.

Then, we have to replace this calculated value in the other equations to get s and t.

• Solving for ,s

• Solving for ,t

To prove our answers are correct, we can do the following:

Answer

• Number of phone calls the first evening: 24

• Number of phone calls the second evening: 34

• Number of phone calls the third evening: 96

Antonio's plan is

Brielle's plan is

Then, we express both expressions as equivalent to finding the number of minutes needed to cost the same.

First, we use the distributive property.

Then, we reduce like terms.

Then, we subtract 4m on each side.

Now, we subtract 15 on each side.

At last, we divide the equation by 0.75.

This means after 6.67 minutes both plans will cost the same.

The function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

[tex]3x^4+2x^3-12x-6[/tex]

We have -

f(x) = 3x⁴ + 2x³ - 12x - 6

for x = - 2

f(- 2) = 3(-2)⁴ + 2(-2)³ - 12(-2) - 6

f(-2) = 48 - 16 + 24 - 6

f(- 2) = 48 + 8 - 6

f(- 2) = 60

Therefore, the function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.

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We can find the average rate of change of change using the following expression:

for the period betwen 1999 and 2002, we have the following:

therefore, the average rate of change of population between 1999 and 2000 is 49.

Next, we do the same for the period between 2001 to 2005:

thus, the average rate of change of population between 2001 and 2005 is 197.5

Finally, notice that the population increased from 1997 to 2001, while it decreased from 2002, to 2006

Explanation

We have an expression given as

To find the equivalent value, we will make use of the fact that when two negative signs divide or multiply each other, the resulting value is always positive

Thus

The simplified answer is

In our case, we will have a positive outcome

Therefore, the correct answers will be options A and B

The probability that Nhan will wear his shirt is 0.375.

From the information, Nhan considers two different shirts, three pairs of pants, and three pairs of shoes.

The total number will be:

= 2 + 3 + 3

= 8

Therefore, since we want to calculate the probability of the shirt which is the khaki, this will be:

= P(shirt) / Total number

= 3/8

= 0.375

There, the probability is 0.375.

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The correlation between the weight and the age of the child is negative.

Correlation

There are 4 types of correlation they are positive correlation, negative correlation, perfect correlation, and no correlation.

Given,

Here we need to find the correlation you would expect to see between the weight and the age of a child.

According to the type of correlation,

We know that, when the two variables are not related to each other then there is no relationship between the variables.

It is always based on the direction of the variable we decide the types of correlation.

Here the type of the correlation is  negative correlation because the weight of a child decreases with age.

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Sale tax rate = 6.85%

To calculate the sale tax on a $14,000 Car, multiply 14,000 by the sale tax rate in decimal form ( divided by 100)

14,000 x (6.85/100) = 14,000 x 0.0685= $959

To find the final cost, add the sale tax amount to the price:

14,000 + 959 = $14,959

Polynomials are closed under the operation of addition, subtraction, and multiplication only. Here's why:

1. Addition: (Closed)

Reason: Say we have two polynomials: (x⁴ + 2x³ - 4) and (3x³ - 2x² + 6x). If we add these two polynomials, (x⁴ + 2x³ - 4) + (3x³ - 2x² + 6x), it will result to x⁴ + 5x³ - 2x² + 6x - 4 which is also a polynomial.

When adding polynomials, the variables and the exponents don't change. This guarantees that the sum of these variables with exponents will always be a polynomial.

2. Subtraction: (Closed)

Reason: Say we have two polynomials: (x⁴ + 2x³ - 4) and (3x³ - 2x² + 6x). If we subtract these two polynomials, (x⁴ + 2x³ - 4) - (3x³ - 2x² + 6x), it will result to x⁴ - x³ + 2x² - 6x - 4 which is also a polynomial.

When subtracting polynomials, the variables, and the exponents don't change. This guarantees that the difference of these variables with exponents will always be a polynomial.

3. Multiplication: (Closed)

Reason: Say we have two polynomials (x + 2) and (x - 4). If we multiply these two polynomials, (x + 2)(x - 4), it will result in x² - 2x - 8, which is also a polynomial.

When multiplying polynomials, the variables do not change but the exponents will be added to each other. In this case, we can guarantee that the new exponents will be positive whole numbers still and this guarantees that the answer will be a polynomial.

4. Division: (Not closed)

Reason: When dividing polynomials, exponents are being subtracted from each other, therefore, we might have a result of a negative exponent. Negative exponents are not allowed in a polynomial. Example, say we have two polynomials (x²) and (x⁴), if we divide (x²) by (x⁴), the resulting value would be:

The resulting value is x to the power of negative 2, and is not a polynomial.

We are given a triangle such that two line segments are drawn as medians:

A meadian line has three points that are off importance as follows:

Hence, using the above information we can extract that:

We can also use the properties of median length that states:

The ratio of the above two lengths for any median line of a triangle remains true for:

This means that the line segment from centroid to bisection ( mid ) point of the opposite side is shorter than the preceeding length; hence, the ratio is ( 2 : 1 ).

We are given the length of the line segment MA the larger part of the median line:

We can use the property of ratio of lengths for the median lines and determine the length of the smaller part of the median line as follows:

From the above property we determined the length of the shorter line segment. Now we have lengths for the both constituent line segments of median line ( MX ). We can simply sum the individual lengths as follows:

Hence, the answer is:

For the carpenter to be sure that both length of the beam to be same length the base angles of the triangle must be the same.

An isosceles triangle is a triangle having two sides of equal length. The angles opposite the equal sides are also equal.

In other words, an isosceles triangle is a triangle with two sides equal and the base angles equal to each other.

The carpenter builds a set of triangular roof support . The carpenter wants the both sides of the slanted beam to be the same in lengths,

Therefore, for the carpenter to be sure the both length of the beam is the same, the base angles must be the same. This follows the rules of an isosceles triangle where two sides are the same and the base angles must be the same.

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Answer: y=2x-5

Step-by-step explanation:

Answer: 2

Step-by-step explanation: i used my brain

The alternate interior angles : ∠4 and ∠5

∠3 and ∠6

In this question, we have been given line AD is parallel to line HE.

We need to identify one pair of alternate interior angles.

We know that the alternate interior angles are formed when a transversal intersects two lines which are coplanar. These angles, lie on the inner side of the parallel lines but on the opposite sides of the transversal.

For given figure alternate interior angles are:

∠4 and ∠5

∠3 and ∠6

Therefore, the alternate interior angles : ∠4 and ∠5

∠3 and ∠6

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The required equation will be 200-80h=20 as the statement says, "You want to take a bus to go visit your friend in a different city. The distance between two cities is 200 kilometers and the bus drives 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city".

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation. Equations can be classified into three types based on their degree:

Here,

The distance between two cities=200 KM

The speed of bus=80 KM/hour

Time travelled=h hours

The distance travelled by bus=80h

The difference between distance=20

200-80h=20

As stated in the statement, the required equation is 200-80h=20 "You want to take the bus to see a friend in another city. The distance between the two cities is 200 kilometers, and the bus travels at an average speed of 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city".

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Answer:

24x^3 - 4xz + 12x^2 -2z + 8x + 4

Step-by-step explanation:

We just need to simplify the equation

Answer:

6/5x -y = -9

Step-by-step explanation:

The standard form is ax + by =c so you would have to use the properties of equality to solve.

Given : y = 6/5x+9

Subtract -9 from both sides: 6/5x = y-9

Subtract y from both sides: 6/5x -y = -9