Slope of parallel and perpendicular lines

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Answer:

D. Convergence hope it helps

Answer: 23.75

Step-by-step explanation:

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square = s²

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

Learn more : https://brainly.com/question/25562438

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

-m + 8-8 = -41 -8

Simplify

Subtract the numbers

-m = -49

Answer:

As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.

If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.

Answer:

its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.

Answer:

f(x) = - 2x + 1

Step-by-step explanation:

The equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

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

The function crosses the y- axis at (0, 1 ) ⇒ c = 1

f(x) = - 2x + 1

Answer:

Uh, okay...

Step-by-step explanation:

A) -40-180=-220

B)-220-175=-395

C)-395-185=-585

D) Sorry I can't read it my eyesight's bad TwT

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

Brainliest please if correct

the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.

[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]

so : a = 3   b = -18

ok done. Thank to me :>

An(5.4)

Step-by-step explanation:

The number of times the actual diameter is larger than the model is 50 times.

A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.

In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.

5.29 x 10² ÷ 10.668

529 ÷ 10.668

= 49.6

= 50 times

Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859

Answer:

1 cylinder

Step-by-step explanation:

cylinder is x, cube is y, and sphere is z

x+y=6z

2x=y

plug in

3x=6z

x=2z

cylinder

Answer:

answer in pic, hope it helps

Answer:

48

Step-by-step explanation:

First find the amount of the markup

40 * 20%

40 *.2

8

Add this to the original price

40+8 = 48

Answer:

matters on amount of dog food bought

Step-by-step explanation:

12 for 1 bag

19 for 2 bags

26 for 3 bags

33 for 4 bags

Answer:

for line b - the slope is 0, not undefined. an undefined slope is a vertical line.

for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.

Answer:

DE = ____24__    m∠E = ____22____

Step-by-step explanation:

I hope this helps

Answer:

[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]

Answer: 12/7

Step-by-step explanation: steps in pic, hope this helps!

Answer: 0.019

Step-by-step explanation: 0.019 is the only closest number to 0.020, others are much less than 0.020.

[tex] \: \: \: \: \: \: [/tex]

[tex]6! = 720 \\ \\ 7! = 5040[/tex]

Step-by-step explanation:

[tex]6![/tex]

[tex]6 \times 5 \times 4×3× 2×1[/tex]

[tex] = 720[/tex]

[tex]7! = [/tex]

[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]

[tex] = 5040[/tex]

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

720 and 5040

Step-by-step explanation:

Using the definition of n! ( n factorial )

n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Answer:

r= -11

Step-by-step explanation:

11r + 60=16

we can see that 11x r + 60 = 16

but thats the problem ! we don't know what r is so

lets get r on its own

11r + 60 =16

subtract 60 from each side

60 -60 =0

left side = 11r

16-60 = -44

right side = -44

11 r = -11

divide both sides by 11

11r divided by 11 = r

-44 divided by 11 = -11

r=-11

I answered your question so plz mark as brainliest!xxxx

Answer:

Step-by-step explanation:

1. 2x + 3y = 1,470

–2x –2x

3y = –2x + 1,470

3y/ 3 = –2x/3 + 1,470/3

y = –2x/3 + 490

The y-intercept of this equation is 490 and the slope is -2x/3.

2. I would graph this line by finding the y-intercept 490 first.

Then, you would move down twice from 490 to 488.

Finally, you would move to the right 3 times.

3. F(x) = –2x/3 + 490

The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.

Answer:

To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.

Step-by-step explanation:

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

Answer:

That person would weigh 14.22 lbs.