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ANSWER

2, 3, 4, 5, and 7 are the correct expressions that have the same values as 9s

STEP-BY-STEP EXPLANATION

Using Simultaneous equation

3s + 2t = -4 .............................................(1)

-6s - 10t = -7 .............................................(2)

multiply equation 1 by 2 and multiply equation 2 by 1:

equ 1 x 2: 6s + 4t = -8 ...............................(3)

equ 2 x 1: -6s -10t = -7 ................................(4)

Add equation 3 and 4 together

0s -6t = - 15

Divide through by -6:

substitute the value of t into equation 1:

Now solving for the expression that has the same value as 9s:

Note: 9s = 9(-3) = -27

1. 9 + s = 9 - 3 = 6

2. 9 * s = 9 * -3 = -27

3. 3s + 6s = 3(-3) + 6(-3) = -9 -18 = -27

4. 3(3s) = 9s = 9(-3) = -27

5. s(5 + 4) = s(9) = -3(9) = -27

6. 3s * 3s = 3(-3) * 3(-3) = -9 * -9 = 81

7. s+s+s+s+s+s+s+s+s = -3-3-3-3-3-3-3-3-3 = -27

Hence, 2, 3, 4, 5, and 7 are the correct expressions that have the same values as 9s.

ANSWER:

- 10

STEP-BY-STEP EXPLANATION:

We have the following expression

We know that when dividing from, the nvert-and-multiply rule must be applied, as follows

Therefore the result of the operation is -10

Common ratio = 1.75

17th term = 123,802.31

Given the following parameters:

Since the sequence is geometric, the nth term of the sequence is given as;

a is the first term

r is the common ratio

n is the number of terms

If the first term a1 = 16, then;

Similarly, if the fifth term a5 = 150.06, then;

Hence the common ratio to the nearest hundredth is 1.75

Next is to get the 17th term as shown;

Hence the 17th term of the sequence to the nearest hundredth is 123,802.31

A) To do that we will draw a line inside the triangle that is perpendicular to the base as I have don above.

B) We will also do the same for B

To Show that if the diagonals of a quadrilateral bisect each other at right angles then it is a rhombus.

Proof:

Let ABCD be a quadrilateral such that the diagonals bisect each other,

Therefore,

the diagonal bisect at right angle.

Hence,

to prove: ABCD is rombus,

Rombus: its is a parallelogram, with all the sides equal.

so, to prove ABCD a parallelogram.

consider the triangle,

thus, traingle

consider the sides, AD and BC

with the transversal ac,

The angles,

are alterntaive angles. they are equal.

this implies, AD is parallel BC.

similarly, AB is parallel to DC.

Hence, AD II BC and AB II DC.

In ABCD the opposite sides are parallel,

This implies, ABCD is parallelogram.

Now, to prove that ABCD is a rombus.

for that all the sides of ABCD should be equal.

now, consider the triangle AOD and COD.

By SAS congruent rule,

Traingles,

Thus, by CPCT Corresponding parts of congruent triangles ,

AD= CD

we know that,

AD=CB and CD=AB

Thus, AD=CD=CB=AB.

hence, all the sides are eqaul and ABCD is parallelogram.

So, ABCD is a rhombus.

It is required that we find an augmented matrix for the system.

Recall that a matrix that contains the coefficients and constant terms of a system of equations, each written in the standard form with the constant terms to the right of the equals is called an augmented matrix.

The given system of equations is:

The first, second, and third equations can be rewritten to get:

Hence, the augmented matrix using the system is:

h is the translation left or right

h > 0 the function shifts to the right h units

h < 0 the function shifts to the left h units

k is the translation up or down

k > 0 the function shifts up k units

k < 0 the function shifts down k units

For the given transformations:

Shift 2 units to the left. h: -3

Shift 3 units down. k: -3

Then, the function g(x) is:

Answer:

  $1907.46

Step-by-step explanation:

You want the principal amount of a 10-year loan that earns $1278 in simple interest at the annual rate of 6.7%.

The interest is given by the formula ...

  I = Prt

Solving for P gives ...

  P = I/(rt)

  P = $1278/(0.067·10) ≈ $1907.46

The amount of the loan was $1907.46.

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Given statement:

20 is the same as the sum of 4 and g

Let us break down the statement into parts and then write the equation

the sum of 4 and g:

This sum is equal to 20:

Hence, the equation is:

Solving for the variable:

Answer Summary

We have

We have with the third equation

We substitute in the first and second equation

Then we have

We substitute

if x=0

and if x=0

ANSWER

x=0

y=4

z=-2

The polynomial that represents the rollercoaster, using the Factor Theorem, is given as follows:

y = 400(x - 1)²(x + 1)(x² + 0.1)(x + 5).

The Factor Theorem states that a polynomial function with zeros [tex]x_1, x_2, \codts, x_n[/tex], also represented by factors [tex]x - x_1, x - x_2, \cdots x - x_n[/tex] is given by the rule presented as follows:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient of the polynomial function with the given roots.

For this problem, the requirements are as follows:

The roots will be given as follows:

Hence the function is:

y = a(x - 1)²(x + 1)(x² + 0.1)(x + 5).

At x = 0, the function assumes a value of 250, hence the leading coefficient is obtained as follows:

0.5a = 200.

a = 400.

Thus the function is:

y = 400(x - 1)²(x + 1)(x² + 0.1)(x + 5).

Which has the desired features, as shown by the image at the end of the answer.

More can be learned about the Factor Theorem at https://brainly.com/question/11813480

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We are given the following equation:

Using the distributive property:

Adding 1 to both sides

Solving the operations:

To graph this line we need two points through which the line passes. The first point can be obtained by making x = 0:

Therefore, the first point is (0,9/5).

The second point can be obtained by making x = 1, we get:

Therefore, the point is (1,2). Now we plot both points and join them with a line. The graph is:

Solution:

Concept:

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

The expression is given below as

Hence,

The final answer is

(a + 15) •2

Multiply each term in the parentheses by 2

a*2 + 15*2

2a + 30

For:

Factor 8x² out of the expression:

-------------------------------------------------------------------

For:

Add like terms:

The coefficient of x² is 2 and the constant term is -4. The product of 2 and -4 is -8. The factors of -8 which sum to 7 are -1 and 8, thus:

Given:

Edges of the polyhedron, E = 10

Vertices, V = 5

A polyhedron is a three-dimensional figure.

Let's find the number of faces using Euler's formula.

To find the number of faces of the polyhedron, we have the Euler's formula:

V + F - E = 2

Substitute values into the formula:

5 + F - 10 = 2

Combine like terms:

F + 5 - 10 = 2

F - 5 = 2

Add 5 to both sides:

F - 5 + 5 = 2 + 5

F = 7

Therefore, the number of faces of the polyhedron is 7

ANSWER:

7 faces

a) Since we are interested in the number of TVs that can be sold at $400, we need to use the Demand model equation and set p=400; thus,

The answer to part a) is 20 TVs per week.

b) Set N=N, then

Therefore, using p=300 and solving for N,

The answer to part b) is 720 TVs per week.

c) In part b), we found that when supply and demand are equal, p=300. Thus, the answer to part c) is $300

1) As the Domain is the set of inputs (x) for that function, as we can see in the graph.

There's one point in the graph x =8, where should be an asymptote i.e. a vertical or horizontal line that prevents both graphs do not trespass.

So we can write the Domain as

D =(-∞, 8) U (8, ∞)

Because in this function, the point x=8 is not included, and from point 8 on the function continues.

SOLUTION

We want to solve for v in

This means we should make v the subject, that is make it stand alone. This becomes

Next, we divide both sides by m, we have

Lastly, we square root both sides we have

Hence the answer is

The measure of the angle is 63 degrees

Let the angle in question be x degrees.

The supplement is (180 - x) degrees, and the complement is (90 - x) degrees.

Given that the supplement is 63 degrees more than twice the measure of its complement, we have the equation:

180 - x = 2(90 - x) + 63

Solving for x in the above:

180 - x = 180 - 2x + 63

2x - x = 180 - 180 + 63

x = 63

Based on the diagram of the figure, the equation is:

x + 3 = 9

ANSWER

3/4 : 3/3

EXPLANATION

We have the ratio of cups of banana to cups of apple juice to be 1/4 : 1/3

Equivalent ratios can be gotten by multiplying the ratio with a common integer.

This means we can multiply bot sides of the ratio with the same integer e.g. 2, 4, 7...

Since from the diagram, the next equivalent ratio is given (2/4 : 2/3), we can obtain the next equivalent ratio by multiplying the ratio by 3. That is:

3/4 : 3/3

Therefore, the correct option is 3/4 : 3/3

SOLUTION

We want to tell the graph that represents the function

The graph of this function is shown below

Comparing this to what we have in the options,

we can see that the correct answer is option D

We make expressions for each afirmation

Where X is the first day, Y second day and Z the third

1. the sum of the 3 days gives us 30

2. Second day is 4/5 of the first day

3.Third day is 3/2 of the second day

Whit the expressions I try to represent everything as a function of X

I must represent Z in function of X, for this I can replace Y of the second expression in the third expression

So I have:

And I can replace on the first expression

I must find X

So, if I have X I can replace on this expressions to find de value:

Where X is 10

To check:

The result is correct, therefore:

For line 1 =

The coordinates given are (-8,-55) , (10,89)

The slope of the line is

For line 2 =

The coordinates given are (9,-44) , (4,-14)

The slope of the line is

The lines are not perpendicular or parallel because the slope of the lines does not satisfy the condition of perpendicular or parallel slopes.

Hence the answer is neither.

Given the polynomials, let's simplify the polynomials and label them.

Polynomial 1:

After simplifying, we have the simplified form:

Since the highest degree is 2, this is a quadratic polynomial.

It has 3 terms, therefore by number of terms it is a trinomial.

Polynomial 2:

Simplified form:

The highest degree is 1, therefore it is linear

It has 2 terms, therefore by number of terms it is a binomial

Polynomial 3:

Simplified form:

The highest degree is 0 since it has no variable, therefore it is a constant.

It has 1 term, by number of terms it is a monomial.

ANSWER:

Polynomial Simplified form Name by degree Name by nos. of ter

1 6x²-x-1 quadratic Trinomial

2 3x + 4 Linear Binomial

3 2 Constant Monomial

well, what's 40% of 20?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies 8[/tex]

Given:

Principal (P)=$200

Rate of interest (r) =4%

time (t)=30 years

Number of times compounded per year(n) = 12

Required- the amount.

Explanation:

First, we change the rate of interest in decimal by removing the "%" sign and dividing by 100 as:

Now, the formula for finding the amount is:

Put the given values in the formula, we get:

Solving further, we get:

Let:

x = Distance traveled by Jan

y = Distance traveled by Sara

z = Distance traveled by maya

Jan Sara and maya ran a total of 64 miles last week, so:

Jan and maya ran the same amount and Sarah 8 miles less then maya. therefore:

Replace (2) and (3) into (1):

Replace z into (2):

Sara ran 16 mi