[tex]f(x)= \frac{X^2-x-12} {5x^2+4x}[/tex]

Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts.

Answers

Answer 1

Answer:

(- 3, 0 ), (4, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0

[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0

The denominator cannot equal zero as this would make f(x) undefined.

Equate the numerator to zero and solve for x

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

x- intercepts are (- 3, 0 ) and (4, 0 )


Related Questions

Please help. I need to refresh my mind of this problem and a few more if you don't mind

Answers

Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

V = BH - 5
How do I solve for b in this equation

Answers

Answer:

[tex]B=\frac{V+5}{H}[/tex]

Step-by-step explanation:

Add 5 to both sides:

V+5=BH

Divide both sides by H:

[tex]B=\frac{V+5}{H}[/tex]

A 123​-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

Answers

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.

Answers

The answer is C. 5^4

Pls help??????????????

Answers

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Did I get it correct?

Answers

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

The cat is 12 feet above the ground and the ladder is 9 feet away from the tree because of the mud. How long does the ladder needs to be to reach the tree

Answers

Answer:

15 feet

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).

To solve for the length of the ladder, use the Pythagorean Theorem.

[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]

6x + 57= 135 solve x​

Answers

Answer:

can't find answer sorry

What is the area of the triangle in the diagram?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

We need to figure out the base and the height. We can do that using pythagorean's theorem.

The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.

Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know that the prisms volume is 20 cubic units, and they know that the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Do you agree with either of them?

Answers

Answer:

Noah answer is the correct answer

Step-by-step explanation:

The solution to the above question is given as:

Total Volume = Volume of the prism + Volume of the cube

Volume of the prism = 20 cubic units

Volume of a cube = (Side length)³

= 10³ = 1000 cubic units

Hence: The total volume =

20 cubic units + 1000 cubic units

= 1,020 cubic units

Therefore, I agree with Noah's answer.

Pls help and show workings

Answers

Step-by-step explanation:

AB = 72 so, then FB would be half of that

so 72 divided by 2 would be 36

5x+1=36 then do substitution

-1 from both sides (from +1 you gotta do the inverse)

5x = 35

divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide

x = 7

Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down

Answers

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

i'll mark brainliest just tell me how to.

Answers

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]

Answer the following Question with Appropriate Explanation

Answers

Answer:

option is B)

Step-by-step explanation:

2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.

2x = 4

hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...

what is 1/2x + 8 < -4 ?

Answers

Answer:

-1/24 < x < 0

Step-by-step explanation:

1/2x + 8 must be less than -4 therefore x can only be x<-24

What type of number can √134 be classified as?

A) irrational number
B) Rational number
C) integer
D) whole number

What type of number is 0 classified as?

A) Irrational number
B) Whole number
C) Integer

Answers

Answer:

[tex] \sqrt{134 } = irrational \\ 0 = whole \: no. \: and \: integer. \\ hope \: it \: helps \\ plzz \: mark \: as \: brainliest....[/tex]

:-)

Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?

Answers

Answer:5.25

Step-by-step explanation:

Mariah025 answer here please

Answers

Answer:

wht

!?

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

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

..

.

What is the equation

Answers

what equation? there isn’t any shown.

Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?

Answers

Alright, denote sweatshirts by x and tshirts by y:
for billy: 2x+3y=35$
for jordan:3x+3y=45$
We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0)
2x+3y=35$
-
3x+3y=45$
=
-1x=-10$
we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y:
2x+3y=35$
2(10)+3y=35$
20+3y=35$
3y=15
y=15/3
y=5
Hope this helps!

Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?

Answers

Answer:

I actual foot represents 0.01093 foot on paper

Step-by-step explanation:

Given that :

Actual side length of snack stand = 60 feets

Length of side on map = 20cm

Scaie :

60 feet = 20cm

1 foot = (20/60) cm

1 foot = 0.333 cm

1cm = 0.0328084 foot

0.333cm = (0.33 * 0.0328084) = 0.01093 feets

Scale :

I actual foot represents 0.01093 foot on paper

Need help with these

Answers

Answer:

3x

7-k

m/4

(5x)+12

Step-by-step explanation:

most of the words like and are just fillers. and basically means together in this instance

At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):

Answers

Answer:

10x + 60 ; 20x

Step-by-step explanation:

Given that:

Purchase price per bracelet = $10

Cost of booth = $60

Selling price per bracelet = $20

Hence,

Let number of bracelets = x

Expense equation :

(Price per bracelet * number of bracelet) + booth fee

(10 * x) + 60

10x + 60

Income equation :

Selling price * number of bracelets

20x

please help, can't understand.

Answers

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

one more than the product of 6 and a number v?


Plzzzzzz help me:(


And PLZZZ answer right


Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)

Answers

Hello there!

The answer would be 1+6*f

Hope this helps

Have a fantastic day

Find the missing side length, N. ​

Answers

Answer : 15

We know these triangles are congruent. To find the missing side, you first have to find out what the scale factor is. To do this you can just divide side QS by side AC, which would give you 2.5.
You would then multiply this scale factor by side BC, giving you side N, which is 15.

We know these triangles are congruent with the missing side, N would be equal to 15.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We know these triangles are congruent.

To find the missing side, N

ΔABC ≅ΔQRS

AC/QS = BC/RS

2/5 = 6/n

n = 6 x 5/2

n = 30/2

n = 15

Thus, the value of N is 15.

Learn more about triangles;

https://brainly.com/question/2773823

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2 w = 2p - 3z
a Find w when p = 8 and z = -2

Answers

Answer:

11

Step-by-step explanation:

2w = 2×8 - (-2×3)

2w = 16 - (-6)

2w = 22

w = 11

What is the value of 7(4 + x) when x = 5?

Answers

Answer:

63

Step-by-step explanation:

7(4+x)

Distribute: 28 + 7x

Substitute: 28 + 7(5)

Simplify: 28 + 35

Simplify: 63

Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)

.

y=−45x−5

y=−4/5x−8

y=−4/5x−4

y=−4/5x+4

Answers

Our point is (-5, -4)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

(y - y1) = m(x - x1)

(y - (-4)) =-4/5(x - (-5))

y + 4 = -4/5x +4

An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,

y = mx + c

-4 = -4/5 x - 5 + c

-4 = 4 + c

c = -8

The equation will be written as,

y = -4/5x - 8

To know more about an equation of the line follow

To know more about an equation of the line follow

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Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?

Answers

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

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