1 and 2 plz help me im nice:)

Step-by-step explanation:

[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]

[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]

f(x) = g(x)

[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]

4x - 21 = 2

x = (21 + 2)/4

x = 5.75

Answer:

1) The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.

2) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].

3) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].

4) The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.

5) The slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex]. The standard form of the line is [tex]-2\cdot x +y = -7[/tex].

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

[tex]a\cdot x + b \cdot y = c[/tex] (2)

Where [tex]a[/tex], [tex]b[/tex] are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that  [tex]m = -5[/tex] and [tex]b = 1[/tex], then we know that the slope-intercept form of the line is:

[tex]y = -5\cdot x + 1[/tex] (3)

And the standard form is found after some algebraic handling:

[tex]5\cdot x +y = 1[/tex] (4)

The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(1,-2)[/tex] and [tex](x_{2},y_{2}) = (3,3)[/tex], then we construct the following system of linear equations:

[tex]m+b= -2[/tex] (5)

[tex]3\cdot m +b = 3[/tex] (6)

The solution of the system is:

[tex]m = \frac{5}{2}[/tex], [tex]b = -\frac{9}{2}[/tex]

The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex].

And the standard form is found after some algebraic handling:

[tex]-\frac{5}{2}\cdot x +y = -\frac{9}{2}[/tex]

[tex]-5\cdot x +2\cdot y = -9[/tex] (7)

The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(-2,0)[/tex] and [tex](x_{2},y_{2}) = (0,5)[/tex], then we construct the following system of linear equations:

[tex]-2\cdot m +b = 0[/tex] (8)

[tex]b = 5[/tex] (9)

The solution of the system is:

[tex]m =\frac{5}{2}[/tex], [tex]b = 5[/tex]

The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex].

And the standard form is found after some algebraic handling:

[tex]-\frac{5}{2}\cdot x+y =5[/tex]

[tex]-5\cdot x +2\cdot y = 10[/tex] (10)

The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].

4) If we know that [tex]a = 2[/tex] and [tex]b = -7[/tex], then the standard form of the family of lines is:

[tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex]

And the standard form is found after some algebraic handling:

[tex]-7\cdot y = -2\cdot x +c[/tex]

[tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex], [tex]\forall \,c\in\mathbb{R}[/tex] (11)

The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.

5) If we know that [tex](x,y) = (3,-1)[/tex] and [tex]m = 2[/tex], then the y-intercept of the line is:

[tex]3\cdot 2 + b = -1[/tex]

[tex]b = -7[/tex]

Then, the slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex].

And the standard form is found after some algebraic handling:

[tex]-2\cdot x +y = -7[/tex] (12)

The standard form of the line is [tex]-2\cdot x +y = -7[/tex].

Answer:

B. 3:24, D. 5:40 E.7:56

Step-by-step explanation:

3:24 = 1:8 (Dividing by 3)

5:40 = 1:8 (Dividing by 5)

7:56 = 1:8 (Dividing by 7)

The ratios that are equivalent to 1:8 are:

3:24, 5:40, and 7:56.

Options B, D, and E are the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A)

16:2

= 16/2

= 8/1

= 8:1

B)

3:24

= 3/24

= 1/8

= 1:8

C)

4:12

= 4/12

= 1/3

= 1:3

D)

5:40

= 5/40

= 1/8

= 1:8

E)

7:56

= 7/56

= 1/8

= 1:8

Thus,

3:24, 5:40, and 7:56 are equivalent to 1:8.

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Answer:

84

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

Answer:

1 is 25% of 4, so 75% decrease

Step-by-step explanation:

Answer:

The answer is They are parallel

Step-by-step explanation:

They have the same slope but different y-intercepts

y = 1/3x - 2

y = 1/3x - 30

pls mark me as brainliest

Answer: Parallel

Step-by-step explanation: They never cross therefore making the two equatons parallel lines

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

Answer:

0.0049

Step-by-step explanation:

Answer:

The numbers are 50, 51, and 52.

Step-by-step explanation:

The consecutive integers are (x-1), x, and (x+1).

6*(x-1+x)-(x+1)=452+2x

6x-6+6x-x-1=452+2x

9x = 459

x=51

The numbers are 50, 51, and 52.

Answer:

.86 square feet.

Step-by-step explanation:

Directions

You have to do this by following directions.

1, Go one circle to your right. Make it the top circle.

2, Drop a perpendicular from the circle you've just been directed to.

3. Draw until you hit the center of the circle below the circle you started your line from. You should get a square.

Find the area of the square.

Each side of the square is 2 feet. You get that because the side of the square = 2 radii -- one radii from the two circles in the center.

Area Square = s^2

Area Square = 2 * 2

Area Square = 4

Find the are of the circles

The 4 central circles that are touching (2 to the left and 2 to the right)  are each are 1/4 of a full circle. 4 * 1/4 circle Area = 1 full circle.

Area = pi * r^2 = 3.14 * 1^2 = 3.14

Find the area of the star

Area of the star = area of square - area of circle.

Area of the star = 4 - 3.14

Area of the star = .86 sqr feet

Answer:

zusvhzbzhz

Step-by-step explanation:

zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs

Answer:

ok I will leave u alone

Step-by-step explanation:

(•ө•)♡

Answer:

ok so the answer is d = 24

Step-by-step explanation:

happy to hellp!

Answer:

Y=3x+12 (its the first option)

Step-by-step explanation:

I did the assignment.

The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Given :

The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):

Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

Step 2 - The one-point form is given below:

[tex](y-y_1) = m (x-x_1)[/tex]

Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.

Step 4 - Now, substitute the values of slope and the point in the above expression.

[tex](y+3) = 3 (x+5)[/tex]

y = 3x + 2

For more information, refer to the link given below:

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Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

Answer and Step-by-step explanation:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

∠3, it is quite clear

Step-by-step explanation:

130-49 = 81

Answer 81/130

The probability that the bag has buttons is 0.38.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, a company makes 130 bags.

Here, the number of favorable outcomes = 49 and the total number of outcomes =130

Now, probability of an event = 49/130

= 0.38

Therefore, the probability that the bag has buttons is 0.38.

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Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

Answer:

A

Step-by-step explanation:

Answer: It is E (3, -7)

Answer:

Step-by-step explanation:

8x=180-8

8x=172

8x/8=172/8

x=21.5

Answer:

43/2

Step-by-step explanation:

Move Constant to the left

8x+8=180

calculate

8x=180-8

divide bothsides

8x=172

Answer

z=43/2

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

Answer:

q4: ΔGHJ≡ΔARE by ASA

q7: ΔABC≡ΔILH by SSS

q10: ΔABC≡ΔKPG by AAS

Step-by-step explanation:

q4: ΔGHJ≡ΔARE by ASA

q7: ΔABC≡ΔILH by SSS

q10: ΔABC≡ΔKPG by AAS

Answer:

per minute: 0.15 km

in 10 minutes: 1.5

Step-by-step explanation:

there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.

Answer:

-1

Step-by-step explanation:

If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining

Answer:

-1

Step-by-step explanation:

I hope this helps!

Answer:

six plastic bricks and four wooden blocks

Step-by-step explanation:

plastic bricks=10

wooden blocks:5

lets make plastic x and wooden y

if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.

Answer:

-20

Step-by-step explanation: