20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...

Answers

Answer 1

Answer:

x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

12x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 12 × - 5 = - 60 and sum = + 4

The factors are - 6 and + 10

Use these factors to split the x- term

12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )

6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(6x + 5) = 0

Equate each factor to zero and solve for x

6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]


Related Questions

x>-1
help please!!!!!

Answers

Answer:

but if it was x>1 it would be less equal to

Step-by-step explanation:

x < 1 is greater than

I need help with this

Answers

Answer:

Step-by-step explanation:

∠5 = ∠1             {Alternate exterior angles are congruent}

8x - 19 = 7x - 3

Add 19 to both sides

8x = 7x - 3 + 19

8x = 7x + 16

Subtract 7x from both sides

8x - 7x = 16

   x = 16

∠5 = 8x - 19

    = 8*16 - 19

    = 128 - 19

 ∠5 = 109

∠5 + ∠4 = 180     {linear pair]

109 + ∠4 = 180

         ∠4 = 180 - 109

∠4 = 71°

20% of 400 is


.............​

Answers

Answer:

80

Step-by-step explanation:

20% of 400 is

= 20/100 * 400

= 80

THE ANSWER IS 80 I think

get these all right and ill give you a bonus of 75-100points

Answers

Answer:

1: -6m,

2: 10.3-12m,

3: 28a-7,

4: 5/8h+7

Step-by-step explanation:

so, a helpful thing with these, is to add like terms. with #4, we see that the letter m is with both of the numbers, and since we are adding a bigger negative to a positive, the answer will be a negative with the number. for 6, 2 numbers have an x, and 2 do not. so we add or subtract the like pairs, as in the ones with the letters, and then a separate one for the one with no letters. for the last one, you always want to have a "common denominator" which is the number on the bottom. because 8 is already on the bottom, and 4 is divisible by 8 by 2, we inversely multiply the top and bottom numbers for the "3/4" and would get "6/8" to match the bottom denominator for "1/8" hope this helps

What is the missing statement in the proof?

Answers

a statement that defines who you are as a professional and what you hope to

What is the equation of the horizontal line through (-7,-3)(−7,−3)?

Answers

Answer:

y = -3

Step-by-step explanation:

This is because horizontal lines have a slope of 0. And for horizontal lines, the equation of the line is y = b. So, b is the y-intercept and the y intercept is -3 so that is the equation of the line.

David uses software to draw two triangles. He finds that he can use a rotation and a reflection to map one triangle onto the other, and he finds that the image of vertex D is vertex L, the image of vertex V is vertex C, and the image of vertex W is vertex Y. In how many different ways can David write a congruence statement for the triangles? Complete the explanation.
Use the given information to select congruence statements.
△DVW ≅ △
△DWV ≅ △
△VDW ≅ △
△VWD ≅ △
△WDV ≅ △
△WVD ≅ △

There are __ more ways with the order of the triangles reversed. There is a total of __ ways to write a congruence statement.

Answers

Transformation involves changing the position of a shape.

The complete statement is:

There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.

From the question, we understand that:

[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]

This mean that, the following 6 statements can be used as the congruent statements

[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]

[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]

[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]

[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]

[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]

[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]

A triangle has 3 sides, and there are 2 triangles in the question.

The number (n) of congruence statements is:

[tex]\mathbf{n = 3^2 = 9}[/tex]

The remaining (r) number of congruent statement is:

[tex]\mathbf{r = 9 - 6 = 3}[/tex]

So, the blanks should be completed with 3 and 9

Read more about congruent triangles at:

https://brainly.com/question/12413243

Graeme is inviting 7 friends to a party.Each friend wants 4 cookies and each box has 12 cookies. How many boxes should Graeme get?

Answers

Answer:

Graeme should get 3 boxes

Step-by-step explanation:

hope this helped!

you got this dont ever give up all of you are so so smart!!

Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225​

Answers

Answer:-

900

Verification:-

[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]

Answer:

a) 100

→ [tex]\frac{100}{5}[/tex] = 20

→ [tex]\frac{100}{10}[/tex] = 10

→ [tex]\frac{100}{15}[/tex] = 6⅔

100 is not divisible by 15

b) 625

→ [tex]\frac{625}{5}[/tex] = 125

→ [tex]\frac{625}{10}[/tex] = 62.5

→ [tex]\frac{625}{15}[/tex] = 41.6

625 is not divisible by 10 and 15.

c) 900

→ [tex]\frac{900}{5}[/tex] = 180

→ [tex]\frac{900}{10}[/tex] = 90

→ [tex]\frac{900}{15}[/tex] = 60

900 is the correct answer.

d) 225

→ [tex]\frac{225}{5}[/tex] = 45

→ [tex]\frac{225}{10}[/tex] = 22.5

→ [tex]\frac{225}{15}[/tex] = 15

225 is not divisible by 15

900 is the correct answer.

82 x3 +4 +8 +5 +3
I KNOW THE ANSWER JUST SOME POINTS FOR FREE

Answers

Answer:

266

Step-by-step explanation:

Answer:

it's 266! have a great day :)

HELPPP!!!



A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.

Answers

25.5

Step-by-step explanation:

The way to do this is:

80 * 3.14 equals to roughly 25.5

The 6 elephants at the zoo have a combined weight of 11,894 pounds. About how much does each elephant weigh?

Answers

Answer:

1982.33 pounds

Step-by-step explanation:

If they all weigh the same amount then you can figure it out by division.

11894/6=1982.33

Answer:

TO find out how much each elephant weighs you simply have to do 11, 894 divided by 6. Since the answer is a decimal (1982.33333333), I would just round it to the nearest tenth as it dosent specify where we have to round it to. SO, 1982.33333333 rounded to the nearest tenth is 1982.3

Step-by-step explanation:

I hope this helps, if you are having a tough time with math use:

khan academy

math nation

and other free sites!

which expression shows 3 2/5 and -7 1/5 of the sum of integer and fraction parts

Answers

Answer:

-4  3/5

Step-by-step explanation:

3 2/5 + -7 1/5 = (3 - 7) + (2/5 + 1/5) = -4 3/5

Tonya has 5/8 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?

Answers

Answer:

5/16

Step-by-step explanation:

you can't split 5 in half, so you need to multiply the fraction to make it so you can split it in half. Multiply the equation by 2

5/8 * 2=10/16

now you can divide it by two to get 5/16

Hope this helps!

find the total cost 35$ with 50% discount

Answers

Answer:

The total cost will then be $17.5

Answer:

17.5 dollars

Step-by-step explanation:

Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5

the graph of the equation y=2x-1 is shown in the coordinate plane.

wich lists contain only points that lie on the graph of y=2x-1?

A. (0,-1), (15,29), (2,3)
B. (2000, 1999), (3,5)
C. (-2,-3), (-5,-9), (0,0)
D. (-0.5, -2), (0.3, -0.4), (0.5, 0)
E. (1/4, -1/2), (4/5, 3/5)

Answers

Answer:

A, D, & E

Step-by-step explanation:

If you plug in the coordinates, they prove to be valid

(0, -1)

2(0) - 1

0 - 1 = -1

(15, 29)

2(15) - 1

30 - 1 = 29

(2, 3)

2(2) - 1

4 - 1 = 3

(-0.5, -2)

2(-0.5) - 1

-1 - 1 = -2

And so on. Just plug them in and see if it is correct.

May I please receive help?
Please

Answers

Answer:

<R=56 degrees; <Q=62 degrees; <S=62 degrees

Step-by-step explanation:

5x+12=4x+22 (This is because the two angles are congruent to each other.)

x+12=22

x=10

Now, plug it in.

5(10)+12=50+12=62 degrees

62(2)=124 degrees (This is because the two angles are congruent and equal)

180-124=56 degrees

One fourth of a Number decreased by three is at least two.

Answers

Answer:

100

Step-by-step explanation:

1/4 of 100 is 25. 25-3=22, which is at least 2.

I don't get this please help

Answers

4/12=5/12 is the answer

What is the equation of the line shown in this graph

Answers

Answer:

y=1

Step-by-step explanation:

The line is hoizonatal so the slope would be undefined and the y intercept would be 1

A rectangular painting's width is 2 inches more than twice
its length. The perimeter is 40 in. Find the dimensions.

Answers

W=14 inches, L=6 inches. 6x2=12 12+2=14, 14+14+6+6=40 hope that makes sense

Find the distance between parallel lines whose equations are y = x - 6 and y = x + 8.

Answers

Answer:

14

Step-by-step explanation:

Distance between y2 = x + 8 and y1 = x - 6

y2 - y1 = (x + 8) - (x - 6) = 14

4(v + 8) = 40

Which solutions makes this equation true?





1. 2


2. 4

Answers

1. 2 as 4 x 2 is 8 and 4 x 8 is 32 so 32 + 8 = 40
Answer: 2

Let’s try v = 4

4(4 + 8) = 40

PEMDAS says do what’s in the parentheses first so

4 x 12 = 40

Now multiply

4 x 12 = 48 not 40 so it’s not that

Now let’s try v = 2

4(2 + 8) = 40

Do what’s in the parentheses

4 x 10 = 40

So 2 is the answer

PEMDAS is

Parentheses
Exponents
Multiply
Divide
Add
Subtract

Hope this helps

Help please ill mark brainliest!

Answers

The polygon is 5 units in length and not 4

so using the given formula P = 2l + 2w

(2 x 5) + (2 x 3)

10 + 6

= 16 units

The square root of the sum of 69 and 31 is an/a_____?
A.Rational Number
B.Irrational Number
C.Both rational and irrational
D.Neither rational nor irrational​

Answers

Answer:

A. Rational number

Step-by-step explanation:

If you add both 69 and 31 it will give you 100. The square root of 100 is 10 and therefore it is a rational number

D
Which of the following number Satisoy
the equation - G+2=-12?
a) 2
b) 6
C) -6. D) -2

Answers

Step-by-step explanation:

you must have left out important pieces of the equation.

what I can see and therefore solve is

-G + 2 = -12

-G = -14

G = 14

v/13=11/7 solve for v

Answers

Answer:

Step-by-step explanation:

20.29 :)

8 divided by 1 4/5 Arithmetic operation

Answers

Answer:

4.4

Step-by-step explanation:

Express the inequality using interval notation. PLEASE HELP DUE TONIGHT WILL GIVE BRAINLIEST

Answers

Answer:

Convert the inequality to interval notation.

(-∞, 0) ∪ (7, ∞)

Triangle ABC is a right triangle

Answers

Answer:

Okay.........so what's the problem???

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