Which of the following choices are equivalent to the expression below? Check all that applyx^(3/8)

The degree of a polynomial is the highest power in the inividual terms

Hence the degree of this polynomial is 4

Let take the x-intercept and the y-intercept.

• From the graph, the x-intercept (x-axis cutting point) is >>>

• The y-intercept (y-axis cutting point) is >>>

Now, let's find the point slope and slope intercept form of the line.

Point Slope Form

Where m is given by the formula,

So, let's substitute the the points and find the point slope form:

Thus, the point-slope form is

The slope intercept form is given by

Where

m is the slope and b is the y-intercept

Just re-arranging the point slope form will give us the slope intercept form. Shown below:

The slope intercept form is

The side of the original square is 2.5 inches

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

Let side of a square be x

The area of this square will be [tex]x^{2}[/tex]

The second square has a side that has 5 more,

Therefore, side of second square=  x+5

The area of second square= [tex](x+5)^{2}[/tex]

Thee area of the second square which is 9 times the original square =

[tex](x+5)^{2}[/tex]= 9([tex]x^{2}[/tex])

use foil to multiply (x+5)(x5) = [tex]x^{2}[/tex]+10x+25 = 9[tex]x^{2}[/tex]

That is, 0 = 8[tex]x^{2}[/tex]-10x-25    

Factoring quadratic expressions

             0= (4x+5)(2x-5)

             0 = 4x+5  or 0=2x-5

Therefore, x= -5/4 or x= 2.5.

Reject -5/4 as length cannot be negative and accept the value 2.5.

That is side of the original square x=2.5 sq in

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For two ratios to be equivalent, its means and extremes if multiplied must be equal to each other.

Let's start with Option A.

Since they are equal, then Option A is equivalent to 4/5.

Let's check Option B.

Let's check Option C.

Let's check Option D.

Let's check Option E.

FInally, let's check Option F.

Hence, only Option A, Option C, and Option E are equivalent to ratio 4/5.

Answer:

Explanations:

Note that the secant and cosecant functions are cofunctions and are also complements.

Therefore, they are related mathematically as:

csc x = sec ( 90° - x)

x = 64°

csc 64° = sec (90° - 64°)

csc 64° = sec 26

Let x represent the number of general admission tickets sold.

Let y represent the number of reserved seating tickets sold.

We were told that general admission ticket costs $2 each and reserved seating ticket costs $6.50 each. This means that the cost of x general admission tickets and y reserved seating tickets would be

2x + 6.5y

The total amount received was $3953. It means that

2x + 6.5y = 3953

Also, the total number of tickets sold was 1297. It means that

x + y = 1297

x = 1297 - y

Substituting x = 1297 - y into 2x + 6.5y = 3953, it becomes

2(1297 - y) + 6.5y = 3953

2594 - 2y + 6.5y = 3953

- 2y + 6.5y = 3953 - 2594

4.5y = 1360

y = 1360/4.5

y = 302.22

Rounding to the nearest integer,

y = 302

x = 1297 - y = 1297 - 302

x = 995

995 general admission tickets were sold .

302 reserved seating tickets were sold

We can put a circle on quadrangle only if :

So,

Answer: 78,800

The formula is given as

Sn = n/2(u1 + Un)

Let n = 16

u1 = first term

Un = Last term

According to the table given

U1 = 6800

U16 = 3050

S16 = 16/2( u1 + u16)

S16 = 16/2(6800 + 3050)

Firstly, solve the expression inside the parenthesis

S16 = 16/2 (9850)

S16 = 8 x 9850

S16 = 78,800

The answer is 78,800

It represents a growth

The growth rate is 1.5

Recall that the identity property of addition states that:

Answer: Third option.

To find the x-coordinates of A and B, find the zeroes of the equation (set y=0 and solve for x).

If y=0 then:

Writing this quadratic equation in standard form, we get:

Use the quadratic formula to find the solutions for x:

Then, the x-coordinate of A is -1/2, and the x-coordinate of B is 2. Both the y-coordinate of A and B are 0.

On the other hand, to find the y-coordinate of C, which is the point where the graph crosses the Y-axis, replace x=0:

Therefore, the coordinates of A, B and C are:

Solution

(a). For any number of equations to be solved simultaneously, the number of equations, must be same as number of variables.

Hence, Equation (1) & (2) can't be solved simultaneously, because, only two equations are given to solve for 3 variables.

(b) From the explanation above, it is obvious that, Equation (1), (2), and (3), can be solved simultaneously, because, we have 3 variables (x, y, z), with 3 equations to solve with.

Next we do is to solve Equation (1), (2), and (3) simultaneously using substitution method.

From the Equation 2, make y the subject of formula

We substitute, for y in equation (1), and (3).

Simplifying,

make z the subject of formula

Substitute z in the second equation,

Now, we have the value of x, remaining y, and z, and we substitute the value of x = -2, in the equation above for z.

Hence, x = -2, y = 1, z = 5

(c)

Next, we proof for the values of x, y, and z in equation (4)

Substitute, x = -2, y = 1, z = 5 in equation (4)

Hence, the solution doesn't hold for the equation (4).

======================================================

Explanation:

The y intercept always occurs when x = 0.

Visually this is where the function curve crosses or touches the vertical y axis.

The input x = 0 fits into the interval [tex]-2 \le \text{x} < 3[/tex] since [tex]-2 \le 0 < 3[/tex] is a true statement. This means we'll go for the second piece of the piecewise function.

Plug x = 0 into this middle piece to get...

f(x) = -x+1

f(0) = -0+1

f(0) = 1

The Solution:

Given:

Required:

Find f(2):

Find g(-5):

Find h(-1/2):

Answer:

f(2) =

now we can solve the inequalty for x by passing the -7 to the other side:

Now to change the sign of the -4x we have to invert the inequality:

so the only solution is -8 and we can prove it:

tangent = tangent

x^2-1 = 24

Add 1 to each side

x^2 -1 +1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

x cannot be negative, because distances cannot be negative

The transformation of (x,y) from EFGH to E'F'G'H' is (x + 4, y - 2).

We can see that the coordinates of E are (3,6) and the coordinates of E' are (7,4)

Hence, we can see that,

x coordinate is increased by 3 and y-coordinate is decreased by 2.

Also, the coordinates of F are (5,6) and the coordinates of F' are (9,4).

Here also, x coordinate is increased by 3 and y-coordinate is decreased by 2.

This is happening in all vertices of the parallelogram.

Hence,

The transformation of  (x,y) from EFGH to E'F'G'H' is (x + 4, y - 2).

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We have:

Let x = number of apples

Let y = number of oranges

Maggie bought three times as many apples as she did oranges, this is:

x = 3y

$3 each apple

$2.50 each orange

Total cost $46

Then, we have the expression:

Next, solve the system of equations:

we replace x = 3y in the second equation

And solve for y

Therefore, x is:

N 60° W

Explanation

Step 1

draw the situation

we have a right triangle, so we can use a trigonometric function to find the missing angle,

then

Let

so, we need a function that relates those values

replace

so, the direction is

N 60° W

Recall that two lines are parallel if they have the same slope.

Now, the given equation is in the form

where m is the slope. Therefore, the slope of the given line is

and it has to be the slope of the parallel line.

Taking the options to their slope-intercept form, we can determine which equation represents a parallel line to the given line.

Answer: An equation of the form:

Where b is a constant.

Part A

The given equation is

as there is only one variable, the equation either has 1 solution or no solution. However, note that on the left we have a polynomial of degree 1 (a line), whenever we make it equal to a constant, we always have a solution. So in this case the solution is 1.

Part B

Now, to solve this equation first we divide both sides by 5. So we get

Then, we add 3 on both sides to get

Finally we divide both sides by 2 to get

so the unique solution of the equation is x=2

The area of rectangle WXYZ is 39 units sq.

Distance between two points is the length of the line segment that connects the two given points and is find by formula

√ (x2 -x1)² + (y2-y1)²

Given that, On the coordinate plane, rectangle WXYZ has vertices W(-3,-7), X(3,2), Y(6,0), and Z(0,-9).

In the given rectangle, WX = YZ

Area of rectangle = length*width

Here, length = XY and width = WX

XY = √(6-3)²+(0-2)² = √13 units

WX = √(3+3)²+(2+7)² = √117 units

Area = XY*WX = √13*√117 = 39 units sq.

Hence, the area of rectangle WXYZ is 39 units sq.

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Answer

5².2÷10 + 3.2 - 1 = 10

Explanation

To solve this, we will use the order of operation mnemonic to solve it.

PEMDAS explains that we solve the expression with power first, then multiplication, division and then the addition and then subtraction

5².2÷10 + 3.2 - 1

= (25.2÷10) + (3.2) - 1

= (50÷10) + 6 - 1

= 5 + 6 - 1

= 11 - 1

= 10

Hope this Helps!!!

In the given triangle ABC ,

Sum of the angles of of a triangle is 180 degrees.

Therefore,

By using sine rule,

Substituting the given values in the given equation,

Let's use a rule of three:

Therefore,

We would neeed 7978.67 lb of blue grass seed.

We have to write a quadratic equation, in factored form, that has an x-intercept at x=2 and x=-1, and a y-intercept 6.

As the x-intercepts are the roots of the function, we can write the equation as:

The parameter a will be defined in order to have a y-intercept at y=6. That means that, when x is 0, the value of the function is y=6.

Then, we can replace x with 0 and y with 6 and find the value of a:

With the value of a=-3, we can write the factorized form of the equation as:

Graph:

Answer: y=-3(x-2)(x+1)

Answer

To complete the table, you need to substitute the values of the inputs (n) given into the output (n+5) given.

The inequality: 2.5v + 20 ≥ 40

v ≥ 8

Rewards for signing up = 20

let the number of visits = v

rate = 2.5 points per visit

Amount needed for a free movie ticket is atleast 40 points

Atleast 40 is reperesented as ≥ 40

Rewards for signing up + rate (number of visits) ≥ 40

20 + 2.5(v) ≥ 40

The inequality:

2.5v + 20 ≥ 40

Solving the inequality:

2.5v + 20 - 20 ≥ 40 - 20

2.5v ≥ 20

v ≥ 20/2.5

v ≥ 8

The associative property of multiplication states that

Given that (a+b)(cd), then its associative counterpart is

ANSWER

1/4

EXPLANATION

The spinner has 8 equally sized sections numbered 1 to 8.

The die has 6 faces.

On the spinner there are 4 sections with odd numbers and 4 sections with even numbers.

On a die, there are 3 faces with even numbers and 3 faces with odd numbers.

To find the probability of both events occuring, we need to find their individual probabilities and then multiply them together.

The probability of landing on an odd number on the spinner is:

4/8 i.e. 1/2

The probability of rolling an even number on the die is:

3/6 i.e. 1/2

Therefore, the probability of landing on an odd number on the spinner and rolling an even number on the die is: