write the equation of the line in slope-intercept form with slope m=4 through the point (-2,5)

Answer:

(19.6,-12)

Step-by-step explanation:

Answer:

x=

98

5

and y=−12

Step-by-step explanation:

this is what i got

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

Answer:

False

Step-by-step explanation:

Answer: 49:77

Step-by-step explanation:

Answer:

2u = (2,4)

Step-by-step explanation:

Given that

Initial Point of vector = P1 = (2,-1)

Terminal point of vector = P2 = (3,1)

When the initial and terminal points of vector are given. The vector can either be directly found by using P2-P1 or the unit vectors i and j can be used.

So,

[tex]u =P_2-P_1 = (3-2 , 1-(-1))\\= (1, 1+1)\\=(1,2)[/tex]

Now we have to find 2u

So,

[tex]2u = 2(1,2) = (2,4)[/tex]

Hence,

2u = (2,4)

Answer:

Distributive property is one of them

Step-by-step explanation:

Answer: C. 1 1/3

Step-by-step explanation:

Slope is calculated by the change in y/the change in x.

Plug values from the table into the equation:

(19-15)/(4-1)

Evaluate and Simplify:

4/3 -> 1 1/3

Answer:

4 and 7

Step-by-step explanation:

4 for 16

7 for 49

Answer:

explanation=

2(7)-5

14-5

=9

Answer:9

Step-by-step explanation:2(7)-5=9

Step-by-step explanation:

Mathematicians seek and use patterns[8][9] to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.[10] Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.[11]

Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences.

Answer:

The answer is x=-7/2

Step-by-step explanation:

hope this helps

6x + 9 = -12

6x+9-9=-12-9

6x=-21

To find the x divide both side by 6.

6x/6=-21/6

x= -7/2

the answer to this question is = (- 7/2)

false

                                                                                                                                                   vdvfvfddfvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Answer:

B

Step-by-step explanation:

Answer:

The answer should be $5,000

Step-by-step explanation:

Answer:

B and B

Step-by-step explanation:

Answer:

the correct answer is A

and A

Answer:

75%

Step-by-step explanation:

Answer:

73.015873015873%

Step-by-step explanation:

Convert fraction (ratio) 46 / 63 Answer: 73.015873015873%

Answer:

73.015873015873%

Step-by-step explanation:

i like your profile pic

Answer:

No, because it does not have a constant rate of change. Making it not a function.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Plot both lines and then take the y-value from the point where they intersect.

HTH :)

Answer:

k= 13

Step-by-step explanation:

Answer:

the answer is 120 because 1500/ 2% or 0.02 = 30 and multiply by 4 equals 120

Step-by-step explanation:

hope this helps :l

Answer:

I would think the set answer

Answer:

100

Step-by-step explanation:

250 divided by 2  =125 multiplied by .20 to get 25 then minus 25 from 125 to get 125

Answer:

The ball will reach a maximum height of 39.993 meters after 1.428 seconds.

Step-by-step explanation:

Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:

[tex]K_{1}+U_{g,1} = K_{2}+U_{g,2}[/tex] (1)

Where:

[tex]K_{1}[/tex], [tex]K_{2}[/tex] - Initial and final translational kinetic energies, measured in joules.

[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.

By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:

[tex]\frac{1}{2}\cdot m\cdot v_{2}^{2}+m\cdot g\cdot y_{2}= \frac{1}{2}\cdot m\cdot v_{1}^{2}+m\cdot g\cdot y_{1}[/tex] (2)

Where:

[tex]m[/tex] - Mass of the ball, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speed of the ball, measured in meters per second.

[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final heights of the ball, measured in meters.

The final height of the ball is determined by the following formula:

[tex]v_{2}^{2}+2\cdot g\cdot y_{2} = v_{1}^{2}+2\cdot g\cdot y_{1}[/tex]

[tex]v_{1}^{2}-v_{2}^{2}+2\cdot g \cdot y_{1}=2\cdot g\cdot y_{2}[/tex]

[tex]y_{2} = y_{1}+\frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g}[/tex] (3)

If we know that [tex]y_{1} = 30\,m[/tex], [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the maximum height that the ball will reach is:

[tex]y_{2} = 30\,m + \frac{\left(14\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)}[/tex]

[tex]y_{2} = 39.993\,m[/tex]

The ball will reach a maximum height of 39.993 meters.

Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:

[tex]t = \frac{v_{2}-v_{1}}{-g}[/tex] (4)

If we know that [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then:

[tex]t = \frac{0\,\frac{m}{s}-14\,\frac{m}{s} }{-9.807\,\frac{m}{s^{2}} }[/tex]

[tex]t = 1.428\,s[/tex]

The ball will take 1.428 seconds to reach its maximum height.

Answer:

126

Step-by-step explanation:

there isnt anything else to solve so there is no need of order of operation, u would just do 6x21 which is 126

Answer:

After finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]

Step-by-step explanation:

We need to find like terms and simplify the expression [tex]4- 2x + x^2 + 5x + 12 + 2x^2[/tex]

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

[tex]4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16[/tex]

So, after finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]

Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

[tex]4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16[/tex]

So, the answer will be: [tex]\mathbf{3x^2-7x+16}[/tex]

Answer: Use operations combined terms and solve by insulating the

Equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

reverse solve it.

10*8=80

80/5=16

Answer:

Step-by-step explanation:

5x/8 = 10

multiply both sides by 8

5x = 80

divide both sides by 5

x = 16