Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answerbox. Also, specify any restrictions on the variable.a²-3a-4/a² + 5a + 4Rational expression in lowest terms:Variable restrictions for the original expression: a

Domain is the set of input values,

In the graph x axis show the domain

Where the x values is lies at -2,-1,0,1,2

Sothe domain will be :

Range is the set of output values,

In the graph the value of function at y axis is : 0,2,4,6,8-2,-4.....

So, the range will be :

Answer:

y=−2/11x−20

Step-by-step explanation:

We have the next quadratic function given:

Mary used the next quadratic formula:

Replace using the form ax²+bx+c

Where a= 3

b=-9

c=2

Then:

Therefore, the correct answer is "x = fraction numerator 9 plus-or-minus square root of 57 over denominator 6 end fraction"

To answer this question, we always need to take into account the reference angle in a right triangle. The reference angle here is theta, Θ, and we have that:

Then, the length of the side adjacent to theta is equal to 15.

In summary, we have that the length of the side adjacent to the angle Θ is equal to 15.

Reflexive Property

1) For this assertion m∠GHK ≅ m∠GHK we have the Reflexive Property, which states that the same segment or geometric entity has the same measure.

"A quantity is congruent to itself"

m∠GHK ≅ m∠GHK

a =a

hello

the question here requires the subtraction of polynomials

if we are to do this, we have to subtract the polynomials based on their degree

this would be equal to

the above polynomial is the result after subtraction, but we can as well, decide to multiply through by -1, to make or eilimate the negative sign on the second degree polynomal

Answer: $111 is earn by shoe salesman as commission .

Step-by-step explanation:

As given the statement in the question be as follow.

Shoes salesman sold 3 pairs of shoes for $70 each and 2 pairs of shoes for $80 each.

Total cost of the pair of shoes = 3 × 70 + 2 × 80

                                                 = 210 + 160

                                                 = $ 370

As given

shoe salesman earns a commission of 30% of all shoe sales made.

30% is written is decimal form

= 0.30

Commission earns = 0.30 × Total cost of the pair of shoes .

                              = 0.30 × 370

                              = $ 111

Therefore $111 is earn by shoe salesman as commission .

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: Find the mean ofthe data

STEP 3: Find the median

Hence, it can be seen here that the mean is larger than median.

STEP 4: Find the Interquartile range

STEP 5: Find the standard deviation

Hence, it can be seen from above that the interquartile range is larger than the standard deviation.

STEP 6: Find the range

STEP 7: Fnd the variance

Hence, it can be seen that the range is not larger than the variance.

Therefore, the answer is I and II only.

Create a polynomial of degree 6 that has no real roots.

y = ( x^2 + 4) ( x^2 +7 ) ( x^2+5)

Multiplying all the terms together

y =x ^6 + 16 x^4 + 83 x^2 + 140

Using the zero product property

0= x^2 +4 x^2+7 =0 x^2 + 5 =0 will each give a complex solution

x^2 = -4 x^2 = -7 x^2 = -5

This means x = 2i or -2i x = i sqrt(7) or -i sqrt(7) x = i sqrt (5) or - i sqrt(5)

These solutions can be in the form a+bi

Therefor it will have no real roots

y = x^6 + 16 x^4 + 83 x^2 + 140 has no real solutions

Complex solutions come in pairs, so an odd degree must have a real solution

Answer:

60 degrees

Step-by-step explanation:

Total of angles of a triangle is 180

180-76-44= 60

We have the expression:

If the slope is changing being less than 0, that is:

We are asked to identify the correct regression equation.

The regression equation is given by

Where the coefficients a and b are

Where n is the number of observations that is 5.

Let us substitute the following into the above formula.

∑x=143

∑y=411

∑x^2=4,573

∑xy=13,393

So, the coefficients are

a = -14.75

b = 3.39

Therefore, the correct regression equation is

Answer: No solutions

Step-by-step explanation:

[tex]5|x+1|+7=-38\\\\5|x+1|=-45\\\\|x+1|=-9[/tex]

However, as absolute value is non-negative, there are no solutions.

The unknown is B

Answer:

The coefficients of the terms in the algebraic expression are 1 and -3

Explanation:

The coefficients are the number that multiplies an algebraic term in an algebraic expression.

for example; the coefficient of 3x is 3.

For the question;

given the expression;

The coefficient of x^2 is 1

while the coefficient of x is -3

Therefore, the coefficients of the terms in the algebraic expression are 1 and -3

The equation of the line follows the following general structure:

Where m is the slope of the line and b is the y intercept.

Find the corresponding values in the given formula, this way:

In the given equation, m has a value of -1/2, it means the slope is -1/2.

Let's recall that a type of angle pairs are complementary angles. They're complementary if the sum of their degree measurements equals 90 degrees or the right angle.

Example:

Let's recall that a second type of angle pairs are suplementary angles. In this case, the angles add up to 180 degrees.

Example:

To begin we shall sketch a diagram of the line segments as given in the question

As depicted in the diagram, line segment AC is parallel to line segment DB.

This means angle A and angle B are alternate angles. Hence, angle B equals 41 degrees. Similarly, angle C and angle D are alternate angles, which means angle C equals 56.

Therefore, in triangle EAC,

The measure of angle AEC is 83 degrees

SOLUTION

Now, we don't know the scores for his first three tests. But we are told that the average score for the first three tests was 80.

So, let the scores of the first three tests be a, b, and c. That means

Also, let's assume the total score for his first three tests was x, This means that

Comparing with the first equation it means that

Now we are asked "What must he score on his next test to raise his average to 84?"

So this means the total tests becomes 4. Hence

So he must score 96 to raise his average score to 84.

Hence, the answer is 96

By definition, an equation is a statement that two mathematical expressions are equal.

Equations always contain the equal sign "="

Out of the 4 expressions listed, number 2. does not contain the equal sign, which means that this expression is not an equation.

All other expressions contain the equal sign, they can be considered equations.

Change the division sign to multiplication and then invert 1/3

That is;

Recall that the theoretical probability that an event occurring is given by the following quotient:

We know that there are 26 red cards in a standard deck, therefore:

Answer: 0.5.

Answer:

The dimension of the field is ( 110 x 45)

Exolanations:

Perimeter of the field, P = 310 yd

Area of the field, A = 4950 yd²

Note that the shape of a field is rectangular:

Perimeter of a rectangle, P = 2(L + B)

Area of a rectangle, A = L x B

Substituting the values of the perimeter, P, and the Area, A into the formulae above:

310 = 2(L + B)

310 / 2 = L + B

155 = L + B

L + B = 155...............................................(1)

4950 = L x B...............(2)

From equation (1), make L the subject of the formula:

L = 155 - B...................(3)

Substitute equation (3) into equation (2)

4950 = (155 - B) B

4950 = 155B - B²

B² - 155B + 4950 = 0

Solving the quadratic equation above:

B² - 110B - 45B + 4950 = 0

B (B - 110) - 45(B - 110) = 0

(B - 110) ( B - 45) = 0

B - 110 = 0

B = 110

B - 45 = 0

B = 45

Substitute the value of B into equation (3)

L = 155 - B

L = 155 - 45

L = 110

The dimension of the field is ( 110 x 45)

Solution

We have the original function defined as:

And we want to obtain the new red line so then we need to check how many units down and right the function moves:

And we have 3 units to the right and 2 units down then the answer is:

Then the final answer is:

h(x) = -sqrt(x-3) -2

[tex]\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}[/tex]

Option B is the answer.

Answer: C

i hope you can see my handwriting

Answer:

The fraction form of the repeating decimal is;

Explanation:

We want to express the repeating decimal 0.2 (2 repeating) as a fraction.

let x represent the fraction;

Then subtract x from 10x;

Then we can divide both sides by the coefficient of x;

Therefore, the fraction form of the repeating decimal is;

1) In this question, we need to resort to that Explicit formula, with the first term so that we can find the terms:

2) As we can see, this is an Arithmetic sequence. And the answer is:

Using tangent function:

ANSWER

A. (2x + 3, 2y)

EXPLANATION

Let the original coordinates be (x, y)

First, there was a dilation of scale factor 2.

This means that the coordinates become:

2 * (x, y) => (2x, 2y)

Then, there was a translation of 3 units to the right. That is a translation of 3 units on the horizontal (or x axis).

That is:

(2x + 3, 2y)

So, the answer is option A.

We will have the following:

1. We have that 3 & 4 are not adjacent angles.

2. We have that 3 and 4 are adjacent angles.

3. We have that 3 and 4 are not adjacent angles.

4. Not every angle has a complement. A complement is when two angles add up to 90°, so any angle greater than 90° won't have a complement.

***Explainations***

1- 3 & 4 in order to be adjacent have to share the same vertex [They do] and have to be one right next to the other [They are not, there is another angle between them].

2. 3 & 4 are adjacent since they share the same vertex and are one next to the other.

3. 3 & 4 are not adjacent since they do not share a vertex.