Find the equation (in terms of x ) of the line through the points (-4,-4) and (2,4)

Answer:

  B.  x ≥ 6

Step-by-step explanation:

The value √(x-6) is only defined for x ≥ 6, where the argument of the square root function is non-negative.

Similarly, the value √(x+3) is only defined for x ≥ -3.

The product can only be computed where both functions are defined:

  (x ≥ 6) ∩ (x ≥ -3) = x ≥ 6

Answer:

Math is required in every day life. When you go to the grocery store determining which is the better deal. Or when cooking to figure out exactly what ingredients you need or hu=ow much. Math is required everyday to do very simple tasks

Step-by-step explanation:

SOLUTION:

=) x + 4 = 12

=) x = 12 - 4

=) x = 8

The domain (input values) and range (output values) of the function is, Domain: (Negative infinity, infinity), Range: (0, infinity).

Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

Given information-

The function given in the problem is,

[tex]y=f(x)\\y=h(x)\\y=g(x)\\y=k(x)[/tex]

As domain of a function is the set of all the possible input values which are valid for that function. Thus the function should accept all the values for the given function.

Here in the given function the function is takes the input for all the real number form positive to the negative infinite. Thus the domain of the function is,

Domain: (-∞, ∞).

Range of a function is the set of all the possible output values which are valid for that function.

Here the output for the given function gives the positive values to the infinite. thus the range of the function is,

Range: (0, ∞).

Thus, the domain and range of the function is, domain: (Negative infinity, infinity), range: (0, infinity).

Learn more about the domain and range of the function here;

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Answer:

Answers for entire slide:

1. B, and D

2. All of them

3. only correct one is C.

Step-by-step explanation:

Source: trust me bro

Polynomials consist of both indeterminates and coefficients. The factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

8x² - 24x + 20x - 60

We can factorize the polynomial in the following manner,

[tex]8x^2 - 24x + 20x - 60[/tex]

taking two as the factor commons from the entire polynomial,

[tex]=2[4x^2 - 12x + 10x - 30][/tex]

Now, taking 4x as the common factor from the first two terms of the brackets, also, take 10 as the common factor from the last two terms of the brackets,

[tex]=2[4x(x - 3) + 10(x - 3)]\\\\=2[(4x+ 10)(x - 3)]\\\\= 2 (4x+10)(x-3)[/tex]

Hence, the factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

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Answer: 4(x – 3)(2x + 5)

Step-by-step explanation: did no one use the formula that was given to you?

Answer:

ab times (3+4b^2)

Step-by-step explanation:

You would factor the equation.

Answer:

q.1. [tex]12[/tex]

q.2. [tex]72[/tex]°

q.3. [tex]KU=12[/tex]

Step-by-step explanation:

Hi! Let me help you! :)

Answer:

y-1=4/5(x+2)

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Answer: 12

Step-by-step explanation:

ignore the papers in the back lol

Add the two angles and then subtract from 180* to find the missing angle

So,

145* + 15* = 160*

180* - 160* = 20*

Answer: x = 20*

Answer:

Ratio of their perimeters is equal to the ratio of their corresponding side lengths. the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Answer: The length is 7, the width is 3.

Step-by-step explanation:

7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.

7+7 is 14,

3+3 is 6

14 + 6 is 20 which is the perimeter.

Answer:

7.89474% decrease

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 38 to V2 = 35

(V2−V1)|V1|×100

=(35−38)|38|×100

=−338×100

=−0.0789474×100

=−7.89474%change

=7.89474%decrease

Answer:

x = 13/12

x = 1 1/12

Step-by-step explanation:

4 (x + 1 1/3) = 9 2/3

4x + 5 1/3 = 9 2/3

subtract 5 1/3 from each side

4x = 4 1/3

divided by 4 on each side

x = 13/12

x = 1 1/2

hope this helps! :)

Answer:

C. f(x) = (x-4)^2

Step-by-step explanation:

The function among the given option is f(x) = (x – 4)² hence option (C) will be the correct.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given that which one is a function so it is clear that f(x) = (x – 4)² is the best relation between x and f(x).

Hence this option will be the correct answer.

For more about the function

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Answer:

the correct answer will be 88

Answer:

Area of the shaded region 45.76 cm².

Step-by-step explanation:

Firstly, finding the area of rectangle by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 8}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 96}}}\\\\\qquad{\star{\boxed{\sf{\pink{A_{(Rectangle)} = 96 \: {cm}^{2}}}}}} \end{gathered}[/tex]

Hence, the area of rectangle is 96 cm².

[tex]\rule{200}2[/tex]

Secondly, finding the area of circle by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{A_{(Circle)} = \pi{r}^{2}}}}}[/tex]

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4)}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4\times 4)}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14(16)}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 16}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} \approx 50.24}}} \\ \\ \qquad{\star{\boxed{\sf{\purple{A_{(Circle)} \approx 50.24 \: {cm}^{2}}}}}} \end{gathered}[/tex]

Hence, the area of circle is 50.24 cm².

[tex]\rule{200}2[/tex]

Now, finding the area of shaded region by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}[/tex]

[tex]\begin{gathered}{\quad{\longrightarrow{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} = 96 - 50.24}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} \approx 45.76}}}}\\\\{\quad{\star{\boxed{\sf{\red{A_{(Shaded)} \approx 45.76 \: {cm}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of shaded region is 45.76 cm².

[tex]\rule{300}{2.5}[/tex]

Answer:

€75.80

Step-by-step explanation:

Start with €467.

End up with €88.

Total amount withdrawn:

€467 - €88 = €379

The total amount was withdrawn in 5 equal amounts.

Each amount taken is:

€379 ÷ 5 = €75.80

Step-by-step explanation:

[tex](4 {x }^{2} + 3 {y}^{2} ) {}^{0} \\ rule \: of \: zero = {x}^{0} = 1 \\ answer = 1[/tex]

Step-by-step explanation:

1. Clean the floor now.

2. Clean the blackboard.

3. Make sure your friends never drives fast again

4. Go and serve a glass of juice to your friend

5. Tell your friend to not speak loud.

Answer:

Oymyakon is the coldest permanently-inhabited place on Earth and is found in the Arctic Circle's Northern Pole of Cold. In 1933, it recorded its lowest temperature of -67.7°C.

hope it will help

Answer:

5 miles = $8

8 miles = $11

20 miles = $23

Step-by-step explanation:

If admission is 3 dollars, then we already know that is the minimum we have to pay. The rest of the money we spend on the trolley depends on how many miles we travel on it. If each mile is 1 dollar, then we can use a variable to represent the number of miles since there are numerous possible answers.

The basic equation to represent the scenario is:

3 + x

Since x represents the amount of miles traveled, we can replace it with 5, 8, or 20.

3 + 5 = 8 dollars

3 + 8 = 11 dollars

3 + 20 = 23 dollars

Answer:

7(3x^2-6x+2)

Step-by-step explanation:

21, 42, 14 they can be divided by 7 so we put 7 out

Answer:

The answer is 42/2

Step-by-step explanation:

I am so sorry if its not correct please tell me so i can fix my mistake if so.

Answer:

yes I know is that possible

Answer

sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply the numerator and denominator of rational numbers by 5

[tex]\dfrac{-1}{2}=\dfrac{(-1)*5}{2*5}=\dfrac{-5}{10}\\\\\\\dfrac{1}{2}=\dfrac{1*5}{2*5}=\dfrac{5}{10}\\\\\\In\ between \ rational \ numbers \\\\\dfrac{-4}{10} ; \dfrac{-3}{10}; \dfrac{-2}{10}; \dfrac{-1}{10}[/tex]

Answer:

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Answer:-5

Step-by-step explanation:

The solution is in the attached file below

The gradient of the blue line that passes through the points (-1, 0) and (0, -5) is -5.

The Slope (gradient) is simply expressed as a change in y over the change in x.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The blue line in the graph runs through points (-1, 0) and (0, -5).

To find the gradient (slope) of the blue line passing through the points (-1, 0) and (0, -5), we use the slope formula.

Point (-1,0): x₁ = -1 and y₁ = 0

Point (0, -5): x₂ = 0 and y₂ = -5

Plug the coordinates into the above formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{-5 - 0}{0 - (-1)}\\\\Simplify:\\\\m = \frac{-5 - 0}{0 + 1}\\\\m = \frac{-5}{ 1}\\\\m = -5[/tex]

Therefore, the slope is -5.

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Hello!

name the points,

A,B,C,D, E,F, G H

lines

AB,AD, BC, DC, AE, BF, CG, DH, EH, EF, HG, GF

and planes in the given figure.

ABCD, AEHD, BFGC, EHGF