Solve the system using any method:
y = x - 3
y = 7x + 3

Answer:

1/45

Step-by-step explanation:

Given:

Consider the below figure attached with this question.

To find:

The value of [tex](f+g)(x)[/tex].

Solution:

The given functions are:

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

Now,

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=|x|+9+(-6)[/tex]

[tex](f+g)(x)=|x|+9-6[/tex]

[tex](f+g)(x)=|x|+3[/tex]

We know that,

[tex]|x|\geq 0[/tex]

Adding 3 on both sides, we get

[tex]|x|+3\geq 0+3[/tex]

[tex](f+g)(x)\geq 3[/tex]

So, [tex](f+g)(x)\geq 3[/tex] for all values of x.

Hence, the correct option is A.

Answer:

hi, it can be 0 or also 1

please mark as brainiest:)

Answer:

tricky

Step-by-step explanation:

Answer:

-20/33

Step-by-step explanation:

y2 - y1 / x2 - x1

1/6 - (-1/4) / -5/16 - 3/8

5/12 / -11/16

= -20/33

Respuesta:

19

Explicación paso a paso:

Si se van a plantar 361 limoneros en un campo cuadrado;

Entonces, el número de plantas en cada fila debe ser el mismo por columna;

Sea el número de plantas por hilera = x

Número total de plantas = x²

361 = x²

Saca la raíz cuadrada de ambos lados

√361 = √x²

19 = x

Número de plantas por hilera = 19

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

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

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

Step-by-step explanation:

[tex]\text{Use:}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\=============================[/tex]

[tex]A.\ \dfrac{5^3}{5^6}=5^{3-6}=5^{-3}=\left(\dfrac{1}{5}\right)^3\\\\B.\ (14^3)^6=14^{3\cdot6}=14^{18}\\\\C.\ 8^3\cdot8^6=8^{3+6}=8^9\\\\D.\ \dfrac{16^6}{16^3}=16^{6-3}=16^3\\\\E.\ (21^3)^{-6}=21^{3\cdot(-6)}=21^{-18}=\left(\dfrac{1}{21}\right)^{18}\\\\F.\ 100^0=1\\\\G.\ \dfrac{\left(\frac{2}{5}\right)^8}{\left(\frac{2}{5}\right)^6}=\left(\dfrac{2}{5}\right)^{8-6}=\left(\dfrac{2}{5}\right)^2\\\\H.\ (0.15)^{-2}\cdot(0.15)^4=(0.15)^{-2+4}=(0.15)^2\\\\I.\ 7^{-5}=\left(\dfrac{1}{7}\right)^5[/tex]

[tex]J.\ 4\cdot4^3=4^{1+3}=4^4[/tex]

Answer:

904.78

Step-by-step explanation:

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

The surface area of a square pyramid is equal to: B. 64 m².

In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:

Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]

where:

For the height, we have:

6² = h² + (4/2)²

36 = h² + 4

h² = 32

h = √32

Height, h = 5.7 m.

By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;

Surface area of square pyramid = [tex]4^2+2(4)\sqrt{(\frac{4}{4})^2 +5.7^2}[/tex]

Surface area of square pyramid = [tex]16+8\sqrt{(1 +32)}[/tex]

Surface area of square pyramid = 64.33 ≈ 64 m².

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Answer:

[tex](9, 8), \\(0, -7), \\(6, 3), \\[/tex]

Step-by-step explanation:

There is! Algebraically, we can find the equation of the line. Any points that the line passes through should make the equation of the line true.

In slope-intercept form, the equation of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] represents any point the line passes through.

The slope of a line is given by the change in y-values over the change in x-values of two points the line passes through. We're given that the line passes through the points (-6, -4) and (-3, 1).

Let:

[tex](x_1, y_1)\implies (-6, -4)\\(x_2,y_2)\implies (-3, 1)[/tex] (doesn't matter which point you assign to which)

The slope of the line that passes through these points is [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-4)}{-3-(-6)}=\frac{5}{3}[/tex]

Now substitute [tex]m=\frac{5}{3}[/tex] and any point (x, y) that the line passes through to solve for [tex]b[/tex] in [tex]y=mx+b[/tex]:

Using (-3, 1):

[tex]1=\frac{5}{3}(-3)+b, \\\\\frac{3}{3}=-\frac{15}{3}+b,\\\\b=\frac{3}{3}+\frac{15}{3}=\frac{18}{3}=6[/tex]

Thus, the equation of the line is [tex]y=\frac{5}{3}x+6[/tex].

I just realized that it's asking for the points that the line parallel to this line and passing through point [tex]p[/tex] goes through, but I'll keep all the information above as it may be useful.

Parallel lines always have equal slopes, by definition. Therefore, the slope of the line that passes through point [tex]p[/tex] and is parallel to the line above also has a slope of [tex]5/3[/tex]. Point [tex]p[/tex] is located at (3, -2). Thus, to find [tex]b[/tex], plug in [tex]m=5/3[/tex] and [tex]x=3, y=-2[/tex] into [tex]y=mx+b[/tex]:

[tex]-2=\frac{5}{3}(3)+b, \\-2=5+b, \\b=-2-5=-7[/tex]

Therefore, the equation of this line must be [tex]y=\frac{5}{3}x-7[/tex].

You can algebraically determine if a certain point passes through this line by seeing if the point makes this equation true. From the answer choices, the following points are passed through by this line:

[tex](9, 8)\:\checkmark, \\(0, -7)\:\checkmark, \\(6, 3)\:\checkmark, \\[/tex]

Answer:

B

Step-by-step explanation:

Answer:

180 degrees, because the sum of all the angles of a triangle always equals 180 degress.

Answer:

Answer is C

Hope this helped!

Answer:

There is no mode in these set of numbers.

Seven students were surveyed on the amount of money they make per hour. The results are shown below: $8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50 for this given data there is no mode present in the dataset.

In statistics, the mode is a measure of central tendency that represents the most frequently occurring value in a dataset. It can be used to determine the typical or common value in a given set of data. In this case, we have the hourly wages of seven students, and we need to find the mode of this dataset.

To find the mode, we need to identify the value that occurs most frequently in the dataset. Let's list the data in ascending order:

$8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50.

From the given data, we can observe that no value is repeated. In this case, we say that there is no mode or the dataset has no mode. Since each student earns a different hourly wage, there is no single value that appears more frequently than the others.

Mathematically, we can represent the given dataset as a set of values: {8.00, 8.25, 8.50, 9.00, 9.25, 10.00, 10.50}. The mode, denoted as "Mode(X)", is the value(s) that occur(s) most frequently in the dataset X.

In this case, Mode(X) = None or Mode(X) = ∅ (empty set).

This indicates that there is no mode present in the dataset.

It is important to note that a dataset can have more than one mode or no mode at all. When there are two or more values with the same highest frequency, the dataset is said to be multimodal. In our example, since all values occur only once, there is no mode.

In conclusion, the mode of the given dataset, which represents the most frequently occurring value, is not applicable in this case as there is no value that occurs more frequently than the others.

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Answer:

30 + 6x inches

Step-by-step explanation:

Let the required number be x

If the length of the triangle for the pool table is the twice the sum of 5 and a number

L = 2(5+x)

L = 10+2x

Since the triangle is quadilateral, this means that all sides are equal

Perimeter = 3L

Perimeter = 3(10+2x)

Perimeter = 30+6x

Hence the perimeter, in inches, of the triangle is 30 + 6x inches

Answer:

A

Step-by-step explanation:

T o show the inverse, the output becomes the input

The input is the output

The input is 2,4,6,8

The output is 1,3,5,7

They will also be in the same order so 1 went to 2 so 2 will go to 1

Answer:

y=8(x+1)²-2

Step-by-step explanation:

Completing the square is a method of factorising. x²+bx+c=0 becomes x²+bx+([tex]\frac{1}{2}[/tex]b)²-([tex]\frac{1}{2}[/tex]b)²+c=0. This then gets converted to make an equation of (x+[tex]\frac{1}{2}[/tex]b)²+(-([tex]\frac{1}{2}[/tex]b)²+c)=0.

Vertex form is y=a(x-h)²+k.

8x²+16x+6=0 must first be divided by 8 to 8(x²+2x+[tex]\frac{6}{8}[/tex])=0 (as there cannot be a coefficient for x²).

This will become 8(x²+2x+[tex]\frac{2}{2}[/tex]²-[tex]\frac{2}{2}[/tex]²+[tex]\frac{3}{4}[/tex])=0.

From there, using the method above, we can convert it to 8[(x+1)²-1+[tex]\frac{3}{4}[/tex]]=0.

Solving this gets 8[(x+1)²-[tex]\frac{1}{4}[/tex]]=0.

With 8 as a, 1 as -h, and 8×-[tex]\frac{1}{4}[/tex] (-2) as k, we can input this into vertex format to get the result of y=8(x+1)²-2.

**This equation involves completing the square and vertex form, which you may wish to revise. I'm always happy to help!

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer:

c

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

Answer:

[tex]\displaystyle x^\circ \approx 29.3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 45

Hypotenuse = 92

Step 2: Solve for x

Answer:

1050

Step-by-step explanation:

We can use a  ratio to solve

First find how many jam

210 - 189 =21

We want to find how many jam for 10500 printed

21 jam              x jam

-----------       = ----------------

210 printed          10500 printed

Using cross products

21 * 10500 = 210x

Divide each side by 210

21*10500/210 =x

1050=x

Answer:

The second statement is the

of the first.

X = у

y = x

A. contradiction

B. inverse contrapositive

C. inverse

D. converse

Step-by-step explanation:

imverse

The second statement is the contrapositive of the first.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that x → y is a conditional statement read as 'if x then q'.

And, The converse EXCHANGES the hypothesis and conclusion such as:

⇒ y → x

And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:

⇒ ¬y → ¬x

Coming back towards the question,

Given that;

x ⇒ y

¬y ⇒ ¬x

Therefore, The second statement is the contrapositive of the first.

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Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's