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Answer:

should be -4

Step-by-step explanation:

Answer:

y-7= -1/5x

Step-by-step explanation:

general formula (y-y1)= m(x-x1)

m is the slope and in this case m=-1/5

(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y

substitute your given in the equation

(y-7) = -1/5(x-0)

y-7= -1/5x

Answer:

m:number that is multiplied on x  b:the y-intercept

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

In the equation y = mx + b, m represents slope and b represents y intercept.

In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:

"m" represents the slope of the line. It determines the steepness or inclination of the line.

The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).

"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.

The y-intercept is the point where the line intersects the y-axis.

m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.

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The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3x + 12 – 6x ≤ –9

Simplify the equation, then the value of 'x' is calculated as,

3x + 12 – 6x ≤ –9

6x – 3x ≥ 12 + 9

3x ≥ 21

x ≥ 21 / 3

x ≥ 7

The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.

The solution is shown on the number line.

More about the inequality link is given below.

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Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

Given:

The system of equations is

[tex]3x-2y=7[/tex]

[tex]6x-4y=14[/tex]

To find:

The correct statement for the given system of equations.

Solution:

On comparing the given equations and general form of linear equation, i.e., [tex]ax+by+c=0[/tex], we get

[tex]a_1=3,b_1=-2,c_1=-7[/tex]

[tex]a_2=6,b_2=-4,c_2=-14[/tex]

Here,

[tex]\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], therefore, the two equations are equivalent and the system has infinitely many solutions.

Hence, the correct option is b.

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

Answer:

Step-by-step explanation:

Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                [tex]=\frac{60-0}{1-0}[/tex]

                                                = 60 miles per hour

But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])

Answer:

r=35ft, d=70ft. when r=15 mm, d=30mm

Step-by-step explanation:

Radius is half of diameter

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

Answer:

Even

Step-by-step explanation:

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Answer:

−39

Step-by-step explanation:

−6^2+5−6−2

=−36+5−6−2

=−31−6−2

=−37−2

=−39

Answer:

4

Step-by-step explanation:

(-6)^2 + 5(-6) -2

= 36 - 30 - 2

= 6 - 2

= 4

Is this the one you meant?

Answer:

7

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

Answer:

A2: 55

A1: 99-55+x:180

X:26

[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]

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[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]

[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]

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Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

Answer:

67

Step-by-step explanation:

2b+9r

2(2)+9(7)

4+63

67

Answer:

67

Step-by-step explanation:

2(2)+9(7)

4+63=67

Have a great day

Answer:

a

Step-by-step explanation:

just did it and got right

The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

Let,

= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]


Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

Learn more about trigonometry equations here:

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Answer:

1/5

Step-by-step explanation:

A metre is 100cm, thus

20cm/100cm= 1/5

Answer:

see the figure

Step-by-step explanation:

see the figure

Answer:

(2,-3)

Step-by-step explanation:

Desmos graphing calculator

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Answer:

y-intercept:  ( 0 , − 3 )

x-intercept:  ( 3 7 , 0 )

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

nth=5n+1

.: 12th=5(12)+1 =60+1

=61