Graph the line that has a slope of 1/2 and includes the point (6,7)

Answer:

Step-by-step explanation:

Isolate any variable, x or y, but since y has already been isolated, use y to solve for x.

Substitute y into the first equation -3x-3y=3

This equals -3x - 3 (-5x - 17) = 3

Distribute to get -3x + 15x + 51  = 3

Then bring like terms together. -3x + 15x = 3 - 51

12x = -48

Solve for x

x = -4

Substitute -4 for x in the equation: y = -5x - 17

y = − 5x − 17

y = (−5) (−4) − 17

y = 20 - 17

y = 3 ( Simplify both sides of the equation)

Answer:

x = − 4 and y = 3

Answer:

11over32

Step-by-step explanation:

Answer: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

Answer:

The answer is A: 1/25

Answer:

I think its 63 degrees.

Answer:

63

Step-by-step explanation:

In a triangle, all interior angles add up to 180

47+70+x=180

x=63

The correct option is (C) variable.

Seven is not an example of variable.

A variable can be taken as a letter or number or a symbol which is not fixed that mean its value may be change any time .

An expression is consist of multiple symbols, letters or numbers .Expression is a proper mathematical statement consist of single letter or may be multiple letter combine with some operators.

It can be a constant or a variable or both.

A constant is a letter or symbol whose value is fixed always.

In the given question,

As, Seven is a single digit number therefore it is a fixed value which can not change. Thus it is clear that seven is a constant . Also, seven is a term and an expression as well , as it denotes the mathematical value.

Thus, seven is not an example of variable.

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The complete question is :

Seven is not an example of _____.

A) an expression B)  term C)  variable D)  constant

The domain of the inverse function in inequality is written as x ≥ √3 -4.

What is domain and range ?

The is the set of possible input values, and the range is the set of all possible output values of the graph.

Here, the given function is :

f(x) = √(2x +3) - 4

and it is already found that its inverse is :

f⁻¹(x) = {(x+4)² - 3}/ -2

Therefore, to find the domain of this inverse function we equate the numerator to greater then equals to zero that is :

(x+4)² - 3 ≥ 0

(x+4)² ≥ 3

(x+4) ≥ √3

x ≥ √3 -4

Therefore, the domain of the inverse function in inequality is written as x ≥ √3 -4.

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Answer: 20

Step-by-step explanation:

The length of the segment to the nearest tenth of a centimeter is 105.0 cm

The given parameter is the line segment

When the line segment is measured by a meter rule, we have the length to be

Length = 105 cm

When approximated to the nearest tenth, we have:

Length = 105.0 cm

Hence, the length of the segment to the nearest tenth of a centimeter is 105.0 cm

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Answer:

Thanks for the free points...

I love school by the way

Answer:

hey

can you give me a brainliest

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

C should equal to the longer side, which would be 19.

Plug in other two numbers for A and B.

12^2 + 14^2 = 19^2

Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle.

144 + 196 = 361

340 = 361

It's not a right triangle.

Step-by-step explanation:

Because I know it.  Can You mark me as a brainliest?

Answer:

Graph 1

Step-by-step explanation:

Answer: y= x-5

Step-by-step explanation:

It already gave you the y-intercept, which is on the y-axis. It is: (0,-5)

So your equation is: y = mx-5

Now you find your slope by using the two points it gives us: (0,-5) and (5,0)

-5 - 0= -5(from the two y- coordinates) and 0 - 5 = -5(from the two x-coordinates)

That is -5 divided by -5 so the answer would be 1

Your equation is: y = 1x-5

But you don't have to put the 1 because the x itself counts as 1

Answer:

The equation of the quadratic function is y = -4(x + 1)² + 8

Step-by-step explanation:

The vertex form of the quadratic function is y = a(x - h)² + k, where

∵ The vertex of the graph of the quadratic function is (-1, 8)

∴ h = -1 and k = 8

→ Substitute the values of h, k in the form of the equation above

∵ y = a(x - -1)² + 8

∴ y = a(x + 1)² + 8

→ To find a substitute x and y of the equation by the coordinates

   of a point lies on the graph of the function

∵ The y-intercept is 4

→ That means the graph intersect the y-axis at point (0, 4)

∴ x = 0 and y = 4

∵ 4 = a(0 + 1)² + 8

∴ 4 = a(1)² + 8

∴ 4 = a(1) + 8

∴ 4 = a + 8

→ Subtract 8 from both sides

∵ 4 - 8 = a + 8 - 8

∴ -4 = a

→ Substitute the value of a in the equation

∴ y = -4(x + 1)² + 8

∴ The equation of the quadratic function is y = -4(x + 1)² + 8

If m< EBC = 3y+10 and m< ABE = 2y-20, the value of m< EBF is 56 degrees

The questions says that If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.

We have to solve this using the rule of supplementary angles that says that

m<EBC + m<ABE = 180 degrees

This would be written as

3y+10 + 2y-20 = 180

collect like terms

3y + 2y + 10 - 20 = 180

5y - 10 = 180

5y = 180 + 10

5y = 190

then y = 190/5

y = 38 degrees

We have to put the value of y in 2y-20

= 2 * 38 - 20

= 76 - 20

= 56

Given that

m< ABE =  m< EBF

Then the value of  m< EBF = 56

12. we have < EBF = < ABE - < ABF

then 2b - (7b - 24)

when we open the bracket

< EBF = -5b + 24

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Answer:

100 degrees and 80 degrees

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees when combined.

Answer:

angle B= 95

angle D= 85

Step-by-step explanation:

Answer:

1 hen lays 1 egg in 3 days

Basically, in 3 days 1 hen lays 1 egg

1 hen lays 4 eggs in 12 days

Therefore, 3 hens lay 12 eggs in 12 days ******************

1 hen lays 3 eggs in 9 days ******************

Step-by-step explanation:

Answer:

x = 20.996 , 1.002 square inches.

Step-by-step explanation:

We assume that the sides are bent at right angles

Dimensions of the given metal sheet are

Length = 18feet = 216 inches

Width = 44 inches

When we will bend the width part of the given metal sheet

let the bent length be x

so the cross sectional dimensions will be

width = 44-2x

length = x

Area  = x(44-2x)

The given are should be at most 50 square inches

so the equation becomes

x(44-2x)[tex]\leq 50[/tex]  

-2x^2 + 44x [tex]\leq 50[/tex]

[tex]2x^2 -44x +50\geq 0[/tex]

[tex]x^2 -22x +25\geq 0[/tex]  (dividing the equation by 2)

upon solving the above quadratic equation we get

x = 20.996 , 1.002

both the solutions are possible.

Therefore we have the are using the values of x as  20.996 and  1.002 are

42.159968 and 42.079992 which is less than 50 square inches.

Answer: maybe c?

Step-by-step explanation:

from eqn. 1

3x + 2y = 23

2y = 23 - 3x

y = 23/2 - 3/2x

sub into eqn. 2

1/2x - 4 = 23/2 - 3/2x

1/2x + 3/2x = 23/2 + 4/1

2x = 23/2 + 8/2

2x = 31/2

x = 31/4

sub into eqn. 1

31/4 + 2y = 23

2y = 23 - 31/4

2y = 92/4 - 31/4

2y = 61/4

y = 61/8 or 7 5/8  

ummm i got something wrong but try c?

Answer:

C . 31/4,-1/8

Step-by-step explanation:

1. sub the given value of y

into 3x + 2 (1/2x -4) 23

2. slove for x = 31/4

3.sub the given value of x into 1/2x - 4 =y

4. solve the equation for y

5. y = -1/8

6. ordered pair to (x,y) = 31/4,1,8

Answer:

The total perimeter she would need to fence would be:

4L + πr

Step-by-step explanation:

Since her yard is a square and half a circle, and she wants to fence the whole distance around the square and the half circle, then she needs to know the perimeter of a square and semicircle.

The perimeter of a square which is the distance around the square is given by 4L where L is the side length.

The perimeter of a circle, which is the circumference of a circle is 2πr, where r is the radius of the circle Therefore, half a circle would be 2πr/2 = πr.

The total perimeter she would need to fence would be:

4L + πr.

Answer:

no

Step-by-step explanation:

if you want it in slope intercept form it would be :

y= -3/4 + 1/4

Answer:

A

Step-by-step explanation:

they look the same to me :D

Answer:

6,354.12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we want to know if the table represents a proportional relationship

Looking at the table, if we multiply the x-terms by -4, we get the y-terms

So the answer here is that Yes, because all the ratios of y to x are equal to -4

Answer:

Linda

Step-by-step explanation:

Juan sent 34 text messages.

First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.

Answer:

The sum of the two numbers is 12.5

Step-by-step explanation:

First we write a system of equations.

One number is 4 times larger than the other.

y = 4x

The sum of their reciprocals is 1/2

1/x + 1/y = 1/2

Substitute

1/x + 1/4x = 1/2

1 + 1/4 = 1/2x

x = 2.5

Solve for other number

y = 4(2.5)

y = 10

The inverse of x is 2/5 or 4/10, and the inverse of y is 1/10. When added the sum is 5/10 or 1/2.

Answer:

I and III only. Got it correct on Stats test.

Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.

Given that, at King Kong High School, the average weight of senior boys is 168 lbs.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Here, a new distribution is created by adding the boys' weights and the girls' weights together.

So, the new average weight of senior boys and girls

= 168+117

= 285 lbs

The new standard deviation is 5+7

= 12 lbs

Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

H

Answer:

The slope is 7

Step-by-step explanation:

y = mx + b

m is the slope and as we can see in the equation, 7 is there instead of m, therefore 7 is the slope