What is the slope of the following line, y = -5x+4

9514 1404 393

Answer:

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

Given that :(1/3)^-2 + (1/4)^-2 = 125^x

⇛[1/(1/3)]²+[1/+1/4)]² = 125^x

Since a^-n = 1/a^n

⇛ (3)²+(4)² = 125^x

⇛ (3×3)+(4×4) = 125^x

⇛ 9+16 = 125^x

⇛25 = 125^x

⇛ 5² =( 5³)^x

⇛ 5² = 5^(3x)

Since (a^m)^n = a^mn

⇛ 2 = 3x

Since the bases are equal then exponents must be equal

⇛3x = 2

⇛ x = 2/3

Therefore,x = 2/3

Answer:- The value of x for the given problem is 2/3.

also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..

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Answer:

B

Step-by-step explanation:

Answer:

It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines

Step-by-step explanation:

Claim: it's a 90 degree rotation around the intersection of f and g.

It's easy to spot the two lines  are perpendicular. Let's assume the rotation doesn't happen at the point of intersection [tex]x_0[/tex], but slightly to the side, around let's say, [tex]x_0+\epsilon[/tex]; the new line will coincide with [tex]g(x)[/tex] if and only if [tex]\epsilon = 0[/tex], ie only the rotation happens around the intersection.

Answer:

(3,5)

1/3

Step-by-step explanation:

The equation is already in point-slope form. Therefore, both the point and slope can easily be found in the equation. Point slope form looks like [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]. In this the point is [tex](x_{1},y_{1})[/tex] and the slope is m. So, the x value is 3 and the y value is 5, making the coordinate (3,5). Finally, the slope is 1/3.

Answer:

x=80

Step-by-step explanation:

my god this should be easy and I thought I was a bit slow

Answer:

the first one is right....

Answer:

B: BC ≅EC

Step-by-step explanation:

You know that the two angles starting in C are congruent (they're opposite by vertex C).

Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B

Answer: x = -(8/3)

Step-by-step explanation:

7=3(5+x)

7=15+3x

3x = -8

x = -(8/3)

Answer:

-2

Step-by-step explanation:

[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

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Answer:

y - 5

12x + 18y

Step-by-step explanation:

6) five less than y

y - 5

7) six times the quantity of two x plus 3 y

2x + 3y

six times the above exp

6(2x + 3y)

= 12x + 18y

Answer:

  q

-------- = x

t - w

Step-by-step explanation:

Isolate (q/x) on the right side of this equation, by subtracting w from both sides.  Then:

t - w = q/x, or

t - w       q

------- = -----

   1         x

Next, invert this equation.  We get

   1           x

--------- = -----

t - w        q

Finally, multiply both sides by q:

  q

-------- = x

t - w

Answer:

20 dollars

Step-by-step explanation:

.10 x 4 (each quareter) = .40

.40 x 50 = 20.00

= $20.00

Step-by-step explanation:

R = x²/y

Substitute

R = (4.8×10⁵)²/2.8×10⁴

= 4.8²×10¹⁰/2.8×10⁴

= 23.04×10¹⁰/28000

Answer:

Distributive property of multiplication.

Step-by-step explanation:

2(x+3)

Multiply 2 times x, and 2 times 3 so that you get:

2x+6

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

So that other people cannot use their music without the artists permission and usually payment.

Step-by-step explanation:

I'm not sure but this is my best answer!

Answer:

y=6x-1

Step-by-step explanation:

Answer:

[tex]\bold{-6x + y = -1}[/tex]

Step-by-step explanation:

The slope form is [tex]y=mx+b[/tex]. So, convert this to a slope form:

The resulting function is presented in the image attached below.

In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:

[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]

[tex]f'(x) = - f(x)[/tex] (1)

Which means that the reflected function is equal to the original function multiplied by -1.

Now, we proceed to represent the reflected function graphically.

We kindly invite to check this question on reflections: https://brainly.com/question/15487308

Answer:

5

Step-by-step explanation:

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

Answer:

its open

Step-by-step explanation:

i just did it

Answer:

15:10, 18:12

Step-by-step explanation:

Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.

So, in all other ratios, the first value should be 1.5x greater than the second.

We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller

___________________________________________________________

10:1, Incorrect

This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater

10/3 = 3.333....

1 x 3.33... = 3.3333....

3.3333.... x 1.5 ≠ 10

15:10, Correct

This is correct because the first number is 1.5x greater than the second.

15/3 = 5

5 x 2 = 10

10 x 1.5 = 15

18:12, Correct

This is correct because the first number is 1.5x greater than the second.

18/3 = 6

6 x 2 = 12

12 x 1.5 = 18

-Chetan K

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

Learn more here: https://brainly.com/question/25600404

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

When dividing by fractions, you can instead invert the fraction and multiply:

[tex]\frac{a}{b}\div\frac{x}{y} =\frac{a}{b} \times\frac{y}{x}[/tex]

To answer your question:

[tex]\frac{2}{5} \div\frac{2}{3} =\frac{2}{5} \times\frac{3}{2} =\frac{2\times3}{5\times2}=\frac{6}{10}=\frac{3}{5}[/tex]

Answer:

[tex]m=4[/tex] or [tex]m=\frac{4}{1}[/tex]

Step-by-step explanation:

To find slope we use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Two points on the line we can classify are (3,4) and (4,8)