Mathematics High School

[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

If Mr.John has a new house he want to put mats on the flour the length of the mat is 95cm and the width is 74cm that is the perimeter of the mat Mr.John has?​

Answers

Answer:

338cm

Step-by-step explanation:

P= 2( L+W)

P=2(95+74)

P=2(169)

P=338cm


I really need help pls pls pls help

Answers

Answer:

the first one

Step-by-step explanation:

because 1 inch=22feet, so 242 feet=11 inch

Order from least to greatest
1.84, the square root of 5, 2.3,the square root of 3

Answers

Answer:

square root of 3 ,1.84,2.3, square root of 5

Read the caption! Thanks, if you can helps thank you

Answers

Step-by-step explanation:

For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.

Given a triangle with side lengths 11, 23 and x,

we have:

11 + 23 > x,11 + x > 23, and23 + x > 11.

Therefore 34 > x and x > 12. => 12 < x < 34.

Answer:

second option

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

23 - 11 < x < 23 + 11, thus

12 < x < 34

Find the value of X.


Answers

Answer:

In My Knowledge

Option G. 10.4cm is the answer

is there more options

if yes please tell me

I think it’s 10.4 cm not sure tho

I neeed help it’s a word problem

Answers

Answer:

12.50

Step-by-step explanation:

62/5=12.4

60/2=30

5/2=2.5

turquoise paint is made by mixing blue, green and yellow paint in the ratio 2.5 : 1.4 : 0.1 . how much of each colour is needed to make 1.5 litres of turquoise paint? write answers in the same order as the ratio (eg, blue, green, then yellow)​

Answers

Answer: Blue color = 937.5 ml

green color =   525 ml

Yellow color= 37.5 ml

Step-by-step explanation:

Let the quantity of all kinds of paint required to make turquoise paint be 2.5 x(blue), 1.4 x( green), 0.1 x.(yellow).

Total turquoise color required =2.5x+1.4x+0.1x

[tex]\Rightarrow (2.5+1.4+01)x=1.5\\\\\Rightarrow\ 4x = 1.5\\\\\Rightarrow x=\dfrac{1.5}{4}\\\\\Rightarrow\ x=0.375[/tex]  = 1.5 liters  [given]

Blue color = 2.5 x 0.375 = 0.9375 liters = 937.5 ml  [1 liter = 1000 ml]

green color = 1.4 x 0.375= 0.525 l  =  525 ml

Yellow color= 0.1 x  0.375= 0.0375 =37.5 ml

You mix 1/3 teaspoon of baking soda with 3 teaspoons of salt. What is the value of the ratio of baking soda to salt?

Answers

1 to 9 baking soda to salt

22 Solve. Type the correct numeric answer in the space provided.
3 1/2 divided by 4 3/8

Answers

Answer:

0.8

Step-by-step explanation:

3 1/2 = 3.5.... 4 3/8 = 4.375

so 3.5 Divided by 4.375 is 0.8

What is the measure, in degrees, of the angle marked B?

133

65

68

47

Answers

47

All triangles are 180 degrees. Add the 2 numbers given to get a number. Take 180 and subtract it from that number to get 47

Answer:

[tex]\boxed {\boxed {\sf 133 \ degrees }}[/tex]

Step-by-step explanation:

According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of the 2 remote and opposite interior angle.

[tex]d=a+b[/tex]

In this triangle, angle B is the exterior angle (d). The two interior angles are 68 degrees and 65 degrees ( a and b).

[tex]\angle B=68 \textdegree +65 \textdegree[/tex]

Add.

[tex]\angle B= 133 \textdegree[/tex]

This can also be solved using triangles and supplementary angles.

The angles in a triangle must add to 180 degrees. We have three angles: 68, 65, and an unlabeled angle we can call x.

[tex]68+65+x=180 \\133+x=180[/tex]

Subtract x from both sides.

[tex]133+x=180-133 \\x=47[/tex]

x is on a straight line with B, so they are supplementary and add to 180 degrees.

[tex]47+ \angle B= 180[/tex]

Subtract 47 from both sides.

[tex]47-47+ \angle B= 180-47\\\angle B= 133[/tex]

Angle B is equal to 133 degrees.

2*10⁴-7³ please help​

Answers

Answer:

19657

Step-by-step explanation:

By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³

2*10⁴ = 20000

20000 - 7³ = 19657

This is the third time I've seen this question. Are you posting this question again and again?

Does anyone know how to do geometry? Please help

Answers

Answer:

No

Step-by-step explanation:

>>>>

i wish i knew. im struggling over here as well

(5x - 2y = 22
8x - 2y = 28

Please!! Urgent

Answers

9514 1404 393

Answer:

  (x, y) = (2, -6)

Step-by-step explanation:

Subtract the first equation from the second.

  (8x -2y) -(5x -2y) = (28) -(22)

  3x = 6

  x = 2

Substitute this into either equation and solve for y.

  8(2) -2y = 28

  8 -y = 14 . . . . . . . . divide by 2

  y = 8 -14 = -6 . . . . add y-14 to both sides

The solution is (x, y) = (2, -6).

_____

I like a graphing calculator for a quick solution to such problems.

Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,
-

Answers

pretty sure it is ...37, 49

When you add a positive number and a negative number, how can
you tell whether the sum will be positive or negative?

Answers

Answer: By looking at which one is bigger

Step-by-step explanation:

if the negative number is a bigger number than the positive your answer will be negative, if the positive number is larger than the negative your answer will be positive if your negative and positive numbers are the same your answer will be zero, hope this helps <3

Answer:

+ - = -

Step-by-step explanation:

+ (+) = +    

+ (-) = -

- (-) = -

- (+) = -

Two like signs become a positive sign

Two unlike signs become a negative sign

A theater has 384 seats. Each row has 16 seats. The area model represents this situation. Area model showing 2 areas. The first is16 high and 20 wide, with a total of 320. The second is 16 high and x wide, with a total of 64. Part A What is the value of x in the area model? Enter your answer in the box. x = 4 I already answer part A what is the answer for part B?? Part B How many rows of seats are inside the theater? Enter your answer in the box. rows

Answers

Answer:

x=4

Rows = 24

There are 24 rows each having 16 seats making a total of 384.

Step-by-step explanation:

Part B

Total number of seats = Total of rows* Number of seats in each row

Let the total number of rows be y. The theater has 384 seats and each row has 16 seats. Putting the values

384= y * 16

y= 384/16= 24

There are 24 rows each having 16 seats making a total of 384.

Part A:

Area= length * width

Area 1= 320= 16 *20

Area 2 = 64

64 = 16 x

x= 64/16= 4

I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)

Answers

Answer:

1. 15+5i

2. 3+4i

3. 3+i

4. 30

Step-by-step explanation:

Could you guys help me again?

Answers

Answer:

1. n power of 25

2.x power of 5

solve for x, tan 12 = 22 over x

Answers

Answer:

tan 12=22/x

x=22/tan 12

x=103.77.................

NEED AN ANSWER SOON
Find the slope of the line that contains the points named. A(3, 2), B(7, 8) 5/2 3/2 2/3

Answers

Answer:

3/2

Step-by-step explanation:

Answer : 3/2

To find the slope you would use the slope formula which is (y2-y1) / (x2-x1).

(8-2) / (7-3)

m = 3/2

What is the solution to this system of equations?

4y + x = 5

x + 4y = 10

Answers

I Hope it help.
It won’t let me post

the equation doesn't have a solution lol

Sultan needs enough tents for 28 people to sleep in. Each tent can fit 6 people. How many tents does he need?

Answers

Answer:

5 tents

Step-by-step explanation:

1 tent = 6 people

x tent = 28 people

Cross product

1 * 28 = 6 * x

28 = 6x

x = 28/6

= 4.67

Approximately x = 5 tents to an whole number

Therefore, he needs 5 tents for 28 people to sleep in

If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?

Answers

Answer:

105,000

Step-by-step explanation:

2500/5 gives you 500 x 210 =105,000

the base of a pyramid has n sides
write an expression for the number of faces on the pyramid

Answers

Answer: The expression for number of faces of a pyramid =1+n

Step-by-step explanation:

A Pyramid is a polyhedron or a three dimensional shape having a polygon base and all lateral faces are triangles .

Its base describe the number of other faces of it.

For example a triangular pyramid has a triangular base which gives rise to 3 lateral faces , and a rectangular pyramid has a rectangular base which give rise to 4 lateral faces and so on.....

So the total number of faces in a pyramid = base + lateral faces

If a pyramid has n sides therefore it give rise to n lateral faces such that

The total number of faces in a pyramid= 1+n .

2x-4=x+6 how solve this

Answers

Answer:

x = 10

Step-by-step explanation:

1. Add 4 to both sides of the equation

2. Simplify

3. Subtract x from both sided of the equation

4. Simplify

Therefore, x = 10

Hope this helps :)

Answer:

=10

Add 4

to both sides of the equation 2−4=+6

2x-4=x+6 2−4+4=+6+4

function or not a function?

Answers

Can you please get a clearer picture?
The answer is Not a function..

Can someone help me, if u can ty bless you.

Answers

Answer : 2/3 or 0 R 6

Step-by-step explanation:

hope it helps

please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

7xy÷Z=zz please help​

Answers

Could you please write the question more clear?

What is the value of x in the figure shown below

Answers

Answer:

x = 34 degrees

Step-by-step explanation:

if this is a parallelogram then Δ ACB ≅ Δ DCB

which means that ∠A = ∠D

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