3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;

Answer:

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Step-by-step explanation:

The 2 equations are;

y = 2x and y = 2x - 7

Now, from slope intercept equation,

y = mx + c

Where m is slope and c is the intercept on the y-axis

From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.

For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.

They should cross the x-axis when y = 0.

But at x = 0,we have;

y = 2x = 0. And x = 0

Also,for y = 2x - 7 is y = 2x - 7 = 0

2x = 7 and x = 7/2.

Thus,they don't cross the x - axis at the same point

Looking at the options, we can see that there are 3 correct ones from what we've described above namely;

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Answer:

its

Step-by-step explanation:

Answer: the answer is 9

Step-by-step explanation:

Answer:

RGB. RBG, BRG, BGR, GBR, GRB

Step-by-step explanation:

Given

R, G and B

Required

List all possible arrangement

First, we need to calculate the number of arrangement

There are 3 letters and they are to be arranged in order of 3.

So, we have:

[tex]n = 3[/tex] and [tex]r =3[/tex]

Number of arrangement is:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]

[tex]^3P_3 = \frac{3!}{0!}[/tex]

[tex]^3P_3 = \frac{3*2*1}{1}[/tex]

[tex]^3P_3 = \frac{6}{1}[/tex]

[tex]^3P_3 = 6[/tex]

Hence, number of arrangements is 6 and the arrangements are:

RGB. RBG, BRG, BGR, GBR, GRB

Answer:

30

Step-by-step explanation:

tell me if im  wrong

sorry if i am TmT

Answer:

y= 1

Step-by-step explanation:

Use y=mx +b

We have no slope so its just y= b

y=1

Um th eanswer is 56-64-34-3402-30 = 19038

Answer:

1/5

Step-by-step explanation:

You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.

And it is positive because it is pointed to the right side.

Hope this helps

Answer:

 [tex]\frac{-3 y^{11} }{x}[/tex]

Answer:

[tex]Mean = 2392.5[/tex]

[tex]SD = 44.70[/tex]

Step-by-step explanation:

Given

[tex]Students = 14500[/tex]

[tex]p = 16.5\%[/tex]

Solving (a): The mean

Mean is calculated as thus:

[tex]Mean = np[/tex]

[tex]Mean = 16.5\% * 14500[/tex]

Convert % to decimal

[tex]Mean = 0.165 * 14500[/tex]

[tex]Mean = 2392.5[/tex]

Solving (b): The Standard Deviation

Standard deviation (SD) is calculated as thus:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]

Convert % to decimal

[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]

[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]

[tex]SD = \sqrt{1997.7375}[/tex]

[tex]SD = 44.6960568731[/tex]

[tex]SD = 44.70[/tex]

Answer:

20 pieces of rope

Step-by-step explanation:

Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.

5 x 4 = 20 pieces of rope.

I hope that this helps! :)

I don't know if you still need the answer, but it's in the picture

The correct statement is; B. When x increases by​ 1, y increases by 9. The function rule is y = 9x + 1

A linear function is represented as: y = mx + c

Where m is the slope and b is the intercept the value of y, when x = 0

From the given table, we have the following observations that;

As x increases by 1

The value of y increases by 9 and the slope of the table is 9

So, we have been given m = 9

Then y = 9x + c

Since an increment of 1 in the value of x will result in an increment of 9 in the value of y which means that; If x is reduced by 1, the corresponding value of y would reduce by 9.

When x = 1 then y = 10

This means that y = 9x + 1

The correct statement is; B. When x increases by​ 1, y increases by 9. The function rule is y = 9x + 1

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Answer:

y=-2x+64 i think

Step-by-step explanation:

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

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Answer:

y= csc(x)+1

Step-by-step explanation:

A P E X

cosec(X) + 1  has the range (-infinity,-2]U[0,infinity)

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1

Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).

So,

Range of Cosec (x) +1 will be ,

= (-∞,-1+1] ∪ [1+1,∞).

= (-∞, 0] ∪ [2,∞)

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Answer:

I tried my best to explain it, hope it helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is 1

Answer:

i think -3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

48 divided by 4 is 12

Answer:

29,30,31

this is basically like counting just add 1

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

Answer:

C×6=D

Step-by-step explanation:

You don't know her me calculators they have or they bought so you take C for the calculators multiply by 6 and D is the product or answer.