Solve tan(x){tan(%) - 1) = 0 O A. x = 5 + 27T7,X = 3 37 + 27 O B. x = -2779,x=37 + X +277, X = +27 2. C. X = +19,X = = tnx +277 O D. X = n,X = x FT 4

The given equation is

This equation belongs to an uptrend line because the variable x is positive. The line has to have a y-intercept at -1 because that's the constant term.

Following the characteristics of the equation, we can deduct that the correct graph is A.

[tex]b \div 5 = - 30 \\ \frac{b}{5} = - 30[/tex]

I CONVERTED b÷5 SO THAT I CAN USE CROSS MULTIPLICATION

[tex]b = - 30(5) \\ b = - 150[/tex]

b is -150

HOPE THIS HELPS.

There were 707 representatives who attended political gatherings from each country in South America.

We have been given that a political gathering in South America was attended by 8,475 people.

Each of South America's 12 countries and 3 territories were equally represented.

The number of representatives attended from each country is the ratio of the total number of people in the gathering to the total number of countries.

The number of representatives :

⇒ total number of people in the gathering /  total number of countries

The number of representatives = 8,475 / 12

The number of representatives = 706.25 ≈ 707

Hence, there were 707 representatives who attended political gatherings from each country.

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[tex]7/10^2[/tex] is ten times [tex]7/10^3[/tex] or  [tex]7/10^3[/tex] is one-tenth of [tex]7/10^2[/tex].

[tex]10^2[/tex]  and [tex]10^3[/tex] are written in the exponent form.

Exponent

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

We are given two numbers [tex]7/10^2[/tex] and [tex]7/10^3[/tex].

We have to find the relationship between the two given numbers.

We know that,

[tex]7/10^2[/tex] can be written as 7/100 and [tex]7/10^3[/tex] can be written as 7/1000.

We can write,

7/1000 = (7/100) *(1/10)

Hence, 7/1000 is one-tenth of 7/100.

Also, we can write,

7/100 = (7/1000)*10

Hence, 7/100 is ten times 7/1000.

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Solution

To graph the line y = x/6 - 3,

Since the y-intercept is -3

This picture should be of help

Answer:

the amount of money sam has borrowed was 2400

he paid interest 2%

total intreast 48$

48÷3 = $16 a year

2%= $16

16×5= $80 for 10%

$80× 10= 800

800×3= 2400 total amount was borrowed

so 2400-2%= 2352

2400- 2352= 48

Since the cost of each medium pizza is $7, then

Assume that the number of pizzas is x and the total cost is y, then

Multiply x by x to find y

The algebraic rule is

a) Let us complete the table

x: Process: y

0 0 x 7 = 0 0

1 1 x 7 = 7 7

2 2 x 7 = 14 14

3 3 x 7 = 21 21

4 4 x 7 = 28 28

a) We need to find the cost of 10 pizzas, then

Substitute x by 10 in the algebraic rule

The cost of the 10 pizzas is $70

b) If you have exactly $84, then substitute y by 84 to find x

Divide both sides by 7 to find x

You can buy 12 pizzas buy $84

c) If you buy 0 pizza, then the cost of it is

Since zero multiplied by any number give zero

The cost of zero pizza is zero

Because 0 x $7 = $0

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ J(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-7})\qquad K(\stackrel{x_2}{-9}~,~\stackrel{y_2}{1}) ~\hfill JK=\sqrt{(~~ -9- (-7)~~)^2 + (~~ 1- (-7)~~)^2} \\\\\\ ~\hfill JK=\sqrt{( -2)^2 + ( 8)^2} \implies \boxed{JK=\sqrt{ 68 }}[/tex]

[tex]K(\stackrel{x_1}{-9}~,~\stackrel{y_1}{1})\qquad L(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill KL=\sqrt{(~~ -1- (-9)~~)^2 + (~~ -1- 1~~)^2} \\\\\\ ~\hfill KL=\sqrt{( 8)^2 + ( -2)^2} \implies \boxed{KL=\sqrt{ 68 }} \\\\\\ L(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad J(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-7}) ~\hfill LJ=\sqrt{(~~ -7- (-1)~~)^2 + (~~ -7- (-1)~~)^2} \\\\\\ ~\hfill LJ=\sqrt{( -6)^2 + (-6)^2} \implies \boxed{LJ=\sqrt{ 72 }}[/tex]

well, let's notice, the triangle has two sides that are twins, JK and KL, that means is an isosceles, and isosceles triangle is a triangle with twin sides.

Answer: 32 unit squared

Step-by-step explanation:

To find the area you multiply the amount of unit squares on one side of the shape and multiply it by the amount of unit squares at the top of the shape.

Answer:

to find the area of a shape you want to use the formula A=wl which is area is equal to width multiplied by length.

for this exact problem you want to count the squares on one short side and one long side. when you get the two numbers you multiply them

hope this helped!

Answer:

Yep! Got it alllllll right.

Answer:

The height will reach 128 feet after 1 second.

The object will reach the ground after 3 seconds.

Step-by-step explanation:

Plug in the height into the equation: h(t)=144-16t^2

Solve for t.

Ex:

128=144-16t^2, subtract 144 on both sides

-16=-16t^2, divide -16 on both sides

1=t^2, find the square root of both sides

1=t

The circumference of circle is 150.72 millimetres.

In simpler terms, circumference in the perimeter of circle. Thus, it will represent the measure of length of the line of circle. The relationship between circumference of circle and it's diameter will be represented as formula -

C = πd, where C is circumference and d is diameter.

Keep the value of diameter in the formula to find the exact circumference of the circle.

Circumference = 3.14×48

Performing multiplication to find the circumference of the circle

Circumference = 150.72 millimetres.

Therefore, the circumference of the circle with 48 millimetres diameter is 150.72 millimetres.

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Using the properties of parallel lines we find the value of x is 9 and the value of y is 13.

In geometry, parallel lines are coplanar, straight lines that never intersect.

15). In the given figure the two angles represented by 12x+1 and 15x -26 are equal. as they are alternate exterior angles.

We know from the property of parallel lines that they are equal.

Therefore:

12x+1 = 15x -26

or, 12x-15x = -26-1

or, -3x = -27

or, x = 9

Therefore the angles are 12x + 1 = 109

Now,

109 + 4y-9 +28 =180

or, 4y = 180 - 128

or, y = 13.

Therefore as the line l and m are parallel the value of x is 9 and the value of y is 13 .

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13.75h = 50 This is the answer

I think it euqation 4

Explanation:

To find the equation with the form y = mx + b, we can use the following equation:

Where m is the slope and it is ca

Answer:

x-9<4

a number=x

difference = -

9=9

x-9

fewer than - < 4

x-9<4

Answer: $98.67

Step-by-step explanation:

Answer:

$26.91

Step-by-step explanation:

11.96 divided 4 = 2.99

2.99 x 9 = $26.91

Answer: 3:4

Step-by-step explanation:

Answer:

they can be acute, obtuse, exterior, or interior angles

Step-by-step explanation:

Congruent angles are two or more angles that are identical to each other.  the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

ANSWER:

two points are (3,4) and (3,0)

the slope is undefined or indeterminate

SOLUTION:

since the denominator of the slope (change in x) is 0, the slope, change in y over change in x is indeterminate

The given system is

Let's isolate y in the first equation.

Then, we replace the equation we've got in the second equation of the system.

Now, we solve for x.

We use this value to find y.

The complete table of the algae area is:

Day 1  2 3 4 5 6

Area 1/2 1 2 4 8 16

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The initial area exists given as;

A(1) = 1/2 square meters

When it doubles every day, we have:

A(n) = 2 × A(n - 1) where A(1) = 2

So, we contain the following values

A(2) = 1/2 × 2 = 1

A(3) = 1 × 2 = 2

A(4) = 2 × 2 = 4

A(5) = 4 × 2 = 8

A(6) = 8 × 2 = 16

Therefore, the complete table is:

Day 1  2 3 4 5 6

Area 1/2 1 2 4 8 16

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x is case of almonds and y is case of walnuts.

Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.

H-E-B orders no more than 200 bags of almonds and walnuts at a time.

So,

x + y < 200

where x and y refers to the number of bags

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

H-E-B pays $24 per case of almonds and $27 per case of walnuts, but will not order more than $300 total at any one time.

But keep in mind that : Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.

So,

24 * (x/15) + 27 * (y/17) < 300

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

The constraints are:

x + y < 200

(24/15) x + (27/17) y < 300

So, the graph of the previous constraints is as following :

The sequence of transformations needed to transform the parent function f(x) into the linear function g(x) = 6 - 2x is given as follows:

A linear function is defined according to the following rule:

y = mx + b.

In which:

From the stated graph, we have that when x = 0 and y = 6, and when x increases by 1, y decays by 2, hence the function is defined as follows:

y = -2x + 6.

The parent function is:

f(x) = x.

Then, to generate the transformed function, we have that:

Using these three bullet points, the correct options were chosen.

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Answer:

Your welcome

Step-by-step explanation:

Answer:

Perpendicular

Explanation:

Given the coordinates

A(-2,-5), B(4.7) C(0, 2) and D(8,-2)​, we are to determine whether AB is parallel, perpendicular to CD or neither

To do this, we need to find he slope of AB and CD first. Using the formula for calculating slope as shown;

m = y2-y1/x2-x1

For AB:

slope = 7-(-5)/4-(-2)

Slope = 7+5/4+2

Slope of AB = 12/6

Slope of AB = 2

For CD

Slope of CD = -2-2/8-0

Slope of CD = -4/8

Slope of CD = -1/2

Note that for AB to be perpendicular to CD, the product of their slope must be -1.

Given

mAB = 2

mCD = -1/2

Taking their product

mAB * mCD = 2 * -1/2

mAB * mCD = -1

Since the product is -1, hence AB is PERPENDICULAR to CD

The area of a flat ring whose inside and outside diameters are 4cm and 10cm is  66cm²

The region encircled by a circle with radius r is known as πr² in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.

Circular ring's inner diameter (d) is equal to 4 cm.

Circular ring's inner radius (r) is 2 cm.

The circumference of the ring (D) is 10 cm.

Circular ring's (R) outer radius is 5 cm.

To locate

the circumference of the ring.

Solution:

The following formula can be used to calculate the area of a circular ring whose inner and outer diameters are given:

Area of a circle equals (R2 - r2).

= 22(5^2-2^2) / 7

= 66cm²

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Answer:

1 < x  ≤4

Step-by-step explanation:

3 < 2x + 1 ≤9

Solve for x

Subtract 1 from all sides

3-1 < 2x + 1-1 ≤9-1

2 < 2x  ≤8

Divide by 2

2/2 < 2x/2  ≤8/2

1 < x  ≤4

The two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

In the above question, A cubic polynomial is given as follows

P(x) = [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 7x - 4

K = -1

We need to find the, linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial

So, we got that ( x +1 ) is a one linear factor of P(x). As the highest degree of the polynomial is 3 so there will be three zeroes of the given polynomial. Therefore, We need to find others two

If we divide P(x) = [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 7x - 4 by ( x + 1 ) by long division method we'll get, [tex]x^{2}[/tex] -3x - 4

Now we'll solve the quotient by squaring method, to get the other two

Let's say h(x) =  [tex]x^{2}[/tex] -3x - 4

h(x) =  [tex]x^{2}[/tex] -3x - 4

h(x) =  [tex]x^{2}[/tex] -( 4 -1) x - 4

h(x) =  [tex]x^{2}[/tex] -4x + x - 4

h(x) =  x( x-4) + 1( x -4 )

h(x) =  (x+1)(x-4)

Therefore, the two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

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Given:

To Determine: The value of x

Solution

Solve the derived equation by factorizing completing

Therefore

Hence, the value of x is 0.693

Explanation

Give that

To get the value of

we will have

The value (f o g) (x) is

The graph is

Thus, the Domain is