Graph the equation
Y= 1/4x^2-2x

[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]

Answer:

  C.

Step-by-step explanation:

The equation will have no solution if it reduces to the form ...

  1 = 0

Other possible forms are ...

  0 = 0 . . . . infinite solutions

  y + c = 0 . . . . one solution

___

The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.

  A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0   ⇒   0 = 0   (infinite solutions)

  B. 32x +25 -21x - 10x = 0   ⇒   x +25 = 0   (one solution)

 C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0   ⇒   1 = 0   (no solutions)

  D. 1/3 +1/7y -3/7y = 0   ⇒   y -7/6= 0   (one solution)

Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000

Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.

With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:

= Cash holdings x Inflation rate

= 50,000 x 2%

= $1,000

In conclusion, Jim will pay an inflation tax of $1,000.

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First find the slope:

   m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1

Set up slope-intercept form:

  y = 1·x +2

Now move x and y to the left and leave 2 on the right:

  -x + y = 2

This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.

Answer:

Standard form: x - y = -2

Step-by-step explanation:

The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the two points, we must first solve for the value of the slope.

Let (x₁, y₁) = (-1, 1)

    (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 1)/[0 - (-1)]

m = 1/(0 + 1) = 1

Therefore, the value of the slope, m = 1.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  The y-intercept is also the value of y when x = 0.  One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:

y = mx + b

y = x + 2

Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:

y = x + 2

Subtract x from both sides:

- x + y = x - x + 2

-x + y = 2

Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:

(-1) (-x + y) = 2(-1)

x - y = -2  ⇒ This is the standard form where A = 1, B = -1, and C = -2

Answer:

components: {16,11}, distance: 194.16 yards

Step-by-step explanation:

to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)

16 and 11 are the distances from her house

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

but we dont stop here

we have to convert this to yards by multiplying it by ten

19.416 * 10 = 194.16 yards

Answer:

B

Step-by-step explanation:

Just did the test

Answer:  D:  3x + 5y = 2

Step-by-step explanation:

D.  Divide 21 x + 35 y – 14 = 0 by 7 to get:

                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

Answer:

"In the following figure"?

There is no following figure

Step-by-step explanation:

Answer:

10

Step-by-step explain

Answer:

Hello!

After reading the question you have provided I have come up with the correct numerical expression:

4x5-1

Step-by-step explanation:

To come up with this solution you need to keep in mind some of the terminoloy being used.

The word "subtract" comes from the action of subtraction

The word "product" comes from the action of multiplication

Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".

So you get the first part being 4x5

Then, you add in the last part of "subract 1" from the "product of 4 and 5":

4x5-1

Remember to keep in mind the rule of "PEMDAS"

You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.

Here to form the numerical expression we will first do the product of 4 and 5 and then subtract 1 from their resultant and that is ou required answer.

A numerical expression is written in terms of numbers and their operations numerical expression can of many types for example arithmatic expression , alzebraic expression etc.

some examples of arithmatic operations are -

240+130 = 370

240÷12 = 20

Some examples of alzebraic expressions are

3x + 4y = 7

x² + 3x - 7 = 0

In the given question subtract 1 from the product of 4 and 5 can be expressed as (4x5) - 1 = 20 - 1 = 19

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Answer:

Step-by-step explanation:

38+105= 143, 39+104=143, and you will find then adding the numbers

Answer:

To find the sum of interior angles in a polygon, we can use the formula:

[tex]180(n-2)[/tex] where n is the number of sides.

Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]

The missing angle would then be

[tex]540-97-111-104-115=113[/tex]

Since angles on a straight line add up to 180, then

[tex]x+113=180[/tex]

[tex]x=67[/tex]

Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

Answer:

x=5/6 y=8/5

Step-by-step explanation:

times the second one w 2

equals to -12x+10y=-6

then add this to the above one together,you can eliminate the x, then solve an equation w only y.

after you get y, get it into whatever the above one or below one,you will get the x as well

Answer:

x = 5/6

y = 1 and 3/5

Step-by-step explanation:

12x + 15y = 34

-6x + 5y = 3

12x + 15y = 34

3(-6x + 5y = 3)

12x + 15y = 34

-18x + 15y = 9

30x = 25

30x/30 = 25/30

x = 5/6

-6x + 5y = 3

-6(5/6) + 5y = 3

-5 + 5y = 3

+5          +5

5y = 8

5y/5 = 8/5

y = 1 3/5

[tex]\\ \sf\longmapsto 12x-15[/tex]

Distributive property

Take 3 common

[tex]\\ \sf\longmapsto 3(4x-5)[/tex]

Done

Answer:

3/8 or 0.375

Step-by-step explanation:

............

Answer:

5/4

Step-by-step explanation:

Area of a rectangle = length * width

A = 3/4, W = 3/5, L = ?

3/4 = L * 3/5

[tex]\frac{3}{4}= L\frac{3}{5}[/tex]

L * 3 * 4 = 3 * 5

12L = 15

L = 15/12 = 5/4

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.

Answer:

the first

Step-by-step explanation:

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

Answer:

x = 3/8

Step-by-step explanation:

[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]

Cross multiply,

8*(4x +1) = 5*4

8*4x + 8*1 = 20

32x + 8 = 20

Subtract 8 from both sides

32x = 20 - 8

32x = 12

Divide both side by 32

x = 12/32

x = 3/8

Step-by-step explanation:

altitude here is represent by height ok in this case...

if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...

and the information from the question just sun it into the tan formula...this is trigo...

then u add the value to get the total distance..

the answer is 13.87km

hope u understand...

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

Answer:

-5

Step-by-step explanation:

substitute -b for -12 and add 7