Find the intersection point for the following linear functions.

f(x) = 2x + 3
g(x) = -4x − 27

A.
(-5,-7)
B.
(-5,-10)
C.
(5,13)
D.
(5,-7)

Answer:

Its A

Step-by-step explanation:

D is not 30 degrees its around 37

The expression A is equivalent to 30 degrees.

We have to determine whether the expression is equivalent to 30°.

Two rotation angles that have the same measure.

D is not 30 degrees it's around 37

The value of cos ^-1(root3/2) =30 degree

[tex]\frac{\sqrt{3} }{2}=cos(30^0)[/tex]

The expression is equivalent to 30 degrees.

To learn more about the equivalent expression visit:

https://brainly.com/question/24734894

#SPJ2

My preferred course is Statistics because I enjoy analyzing data, making predictions and using probability to make decisions. Statistics is useful in many fields including business, economics, and science.

Mathematics is a fundamental subject that is essential for all students to learn in school. As students advance through different math courses, they will find that there are more connections between them than they might initially realize.

In this essay, I will discuss the similarities and differences between the math courses I have taken and how they influenced my choice of preferred course.  

 The courses I have taken include Algebra, Geometry, Calculus, and Statistics. In Algebra and Geometry, I found that both subjects involve solving problems using formulas and equations.

In Algebra, I learned how to solve linear equations and inequalities while in Geometry, I learned how to measure the shapes of objects and their angles.

On the other hand, Calculus was different from the other courses because it involved analyzing and solving problems using limits, derivatives, and integrals.

Statistics, however, was the course that I found most useful because it allowed me to make informed decisions based on data analysis.    Additionally, it is a prerequisite for most advanced degrees in these fields.

I believe that my experience in the other math courses played a significant role in helping me understand Statistics better because they provided a strong foundation of mathematical concepts and problem-solving skills.

To learn more about : course

https://brainly.com/question/31011401

#SPJ8

Answer:

B

Step-by-step explanation:

its on edge

The trigonometric equation is given as y = 3 sin ( x/3 )

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as y

The value of y = 3 sin ( 1/3 x)

y = 3 sin ( x/3 )

Now , Use the form a sin ( bx - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift

Substituting the values in the equation , we get

a = 3 and b = 1/3

And , the period of 3 sin ( x/3 ) = 6π

So , the function is f ( x ) = 3 sin ( x/3 )

Now , when x = 0 , f ( x ) = 0

when x = 3π/2 , f ( x ) = 3

when x = 3π , f ( x ) = 0

when x = 9π/2 , f ( x ) = -3

Therefore , the graph of the function f ( x ) = 3 sin ( x/3 ) is given below

Hence , the trigonometric equation is 3 sin ( x/3 )

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2

Answer:

option a is the right answer

The decay factor is the decay constant subtracted from 1.

The decay factor is (c) [tex]0.87[/tex]

We have:

[tex]T_\frac{1}{2} = 5.26[/tex]

First, we calculate the decay constant [tex](\lambda)[/tex]

This is calculated using

[tex]\lambda = \frac{0.693}{T_\frac{1}{2}}[/tex]

So, we have:

[tex]\lambda = \frac{0.693}{5.26}[/tex]

[tex]\lambda = 0.13175[/tex]

Next, we calculate the decay factor (b) using:

[tex]b =1 - \lambda[/tex]

So, we have:

[tex]b =1 - 0.13175[/tex]

[tex]b =0.86825[/tex]

Approximate to 2 decimal places

[tex]b =0.87[/tex]

Hence, the decay factor is (c) [tex]0.87[/tex]

Read more about decay factors at:

https://brainly.com/question/4098905

"The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.

Since the graph is a straight line that passes through the origin (0,0) and the point (1, 28.5), we can determine the equation of the line using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points, we have:

m = (28.5 - 0) / (1 - 0)

m = 28.5 / 1

m = 28.5

So, the slope of the line is 28.5.

Since the line passes through the origin (0,0), the y-intercept (b) is 0.

Therefore, the equation of the line is y = 28.5x.

Based on this information, the statement that must be true is: "The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."

In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.

For more questions on Carlos .

https://brainly.com/question/17210214

#SPJ8

Answer:

K and H is my best answer

IHF and JKH

Answer:

<IHF and <LKH

Step-by-step explanation:

Corresponding angles are any pair of angles which are on the same side of two lines cut by a transversal. These lines must be parallel in order for the angles to be corresponding

There are many corresponding angles in this diagram:

<MKJ and <KHG

<MKL and <KHI

Answer:

Step-by-step explanation:

only d can be correct,but not always.

let s=√8 (irrational)

t=√2  (irrational)

s/t=√8/√2=√(4×2)/√2=2√2/√2=2 (rational)

so d is true.

again take another example

let s=π (irrational)

t=√2

s/t=π/√2 (irrational)

d  is not true.

Answer: C

Steps:  4x + y = -4,    x + y = 2

Isolate the x for (x + y = 2):       x = 2 - y

Plug the value of x into the other equation:   4(2 - y) + y = -4

Simplify: -4y + 8 + y = -4

Combine like variables (letters): -4y + y = -3y

So -3y + 8  = -4

Subtract eight from both sides: -3y + 8 - 8 = -4 - 8

-3y = -12

Divide both sides by negative three: -3y ÷ -3  =  -12 ÷ -3

Simplify: y = 4

Plug the value of y into one of the original equations (I'll use  x + y = 2):  

So x + 4 = 2

Isolate the x variable: x = -2

Answer:

the density is 25 grams

Step-by-step explanation:

Length of wood=9 cm

Volume of wood =9x9x9=729cm^3

Mass of wood(m) =23g

Density of wood =m/V

=23/729

=0.03 g/cm^3

The density of the cube of wood will be 0.32 grams per cubic cm.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A cube of wood measures 9 centimeters on a side and weighs 23 grams. Then the density is a ratio of the weight to volume.

Denasity = Mass / Volume

The volume of the cube is given as,

V = 9³

V = 729 cm³

Then the density is given as,

D = 23 / 729

D = 0.32 gram / cubic cm

The density of the cube of wood will be 0.32 grams per cubic cm.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Domain: { -4,-3,0,2,3}

Step-by-step explanation:

The domain is the input values

The range is the output values

Domain: { -4,-3,0,2,3}

Answer:

  the ramp must be lowered

Step-by-step explanation:

Use the definition of the sine function to find the height of a ramp that is 8°.

  Sine = Opposite/Hypotenuse

  sin(8°) = height/8

  height = 8×sin(8°) = 1.11

The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.

The ramp must be lowered.

Answer:

i thik itz 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:(-4,-3)

Step-by-step explanation:

if its rotates from -4,3 its going to move to quadrent 3 and in quadrent 3 is negitives thus it being -4,-3

The required image of the given point after 90° rotation is (-4, -3).

Given that,
To determine the image of the point (-4,3) under a rotation of 90 (counterclockwise) centered at the origin.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
Given point (-4, 3), located in the 2nd quadrat when rotating it by 90 counter-clockwise it will go into the 3rd quadrant is implied that the point will go through a transformation of (x, -y), so the image of the point is given as (-4, -3).

Thus, the required image of the given point after 90° rotation is (-4, -3).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

Answer:

=26

=22

Step-by-step explanation:

[tex] \: \: \: x+x-4=48 \\ = 2x - 4 = 48 \\ = 2x = 48 + 4\\ = 2x = 52 \\ = x = 26 \\ \: \: \: \: \: \: \: \: \:= x - 4 = 26 - 4 = 22[/tex]

Answer:

w = (30 - 5z)/4

Step-by-step explanation:

solve with inverse operations

4w + 5z = 30

-5z            -5z

4w = 30 - 5z

/4       /4

w = (30 - 5z) / 4

Answer:

w=15/2-5z/4

Step-by-step explanation:

4w+5z=30

4w=30-5z

Divide 4 on both sides

w=30/4-5z/4

w=15/2-5z/4

Answer:

28.4707

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

the dimensions are 7x7x7 since its a cube so the cube root of 343 is 7. the base would be 7x7=49

Answer:

zxczxcz

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

open the bracket and after bring 3 to the other side

y=mX + c. c is the intercept on the y axis, while m is the slope

Answer:

1. 1.1

2. 1.13

3. 1.16

4. 1.192

5. 1.199

6. 1.24

Answer:

1.1, 1.13, 1.16, 1.192, 1.199, 1.24

Hope this helps!

Answer:

105

Step-by-step explanation:

its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105

The amount of usage of vinegar is 26 [tex]\frac{1}{4}[/tex] (26.25) tablespoons.

Calculations :

             produce a chemical reaction with

              7 tablespoons of vinegar                       =  4

              So , divide both :  15/4 = 3.75 = 3 3/4

                                          = 3.75 x 7 = 26.25 = 26 1/4 tablespoons

                                                                                          of vinegar

Learn more about Recipe conversion factor refer :

https://brainly.com/question/28319558

#SPJ2

Answer:

180=54,6+17,8+x(the third angle)

Step-by-step explanation:

The three angles in a triangle counted together always give 180 degrees. Therefore, you can use simple equation, in which you subtract the values of the two known angles from 180 (degrees) and the final number will be the value of thethird angle. In this case, it's

180-54,6-17,8=x

107,6=x

Answer:

I dont really know this one but I think it is x = (54.6 +17.8) ÷ 2. I donk know for sure tho.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer Text

an equilateral triangle

a right angled triangle

an isosceles triangle

None of these

Answer :

A

Solution :

Acute angle between the lines x2+4xy+y2=0 is tan2(24−1−−−−√)/(1+1)=tan−13–√=tan−1π/3. Angle bisectors of x2+4xy+y2=0 are given by x2−y21−1=xy2

x2−y2=0⇒x=±y

As x+y=0 is perpendicular to x−y=4, so the given triangle is equilateral triangle

Answer: intersecting but not perpendicular

Step-by-step explanation: Let's start by eliminating a few options.

First off, parallel lines are coplanar lines that do not intersect.

In the diagram shown, lines i and k do intersect

so option A doesn't make any sense.

We can also eliminate option C because by definition,

parallel lines do not intersect so we can cross this off.

We also can't conclude that lines i and k are perpendicular,

because we don't have a box at the vertex and from the

diagram shown, it doesn't look like they form a perfect right angle.

That leaves us with option D.

Notice that these two lines cross at a point.

When two lines cross at a point, we say that they intersect.

So they are intersecting lines but not perpendicular.

Step-by-step explanation:

sin^2 A = 1 - COS^2 A

SIN

[tex] {sin}^{2} + (1 - {cos}^{2} ). \frac{ {sin}^{2} }{ {cos}^{2} } [/tex]

hence proved

Answer:

c≈15.07

Step-by-step explanation:

c=a2+b2=11.12+10.22≈15.07481

Answer:

8

Step-by-step explanation:

[tex]2^3\\=2*2*2\\=8[/tex]

Answer:

8.

Step-by-step explanation:

(2^3) means " two to the power of three' ,a.k.a. " What is two multiplied by itself three times, also known as two times two times two, which is 2 x 2 x 2.

Which is 8.

Answer: {x,y}={5,2}

Step-by-step explanation: