How do you have factor y=6x²+24x-192 and find the zeros?

Answers

Answer 1

Answer: $y=6x^2+24x-192\n\ny=0\ \ \ \Leftrightarrow\ \ \ 6x^2+24x-192=0\ /:6\n\nx^2+4x-27=0\n\nx^2+2\cdot2\cdot x+2^2-2^2-27=0\n\n(x+2)^2-31=0\n\n(x+2)^2=31\ \ \ \Leftrightarrow\ \ \ (x+2= √(31) \ \ \ or\ \ \ x+2=- √(31))\n\nx=-2+ √(31)\ \ \ or\ \ \ x=-2- √(31)$

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What is the area of the triangle when a=14 and c=50 what is b?
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Ms. Chang has 24 students in her class, and 6 of them are boys. What is the ratio of boys to girls?

If triangle MNO is congruent to triangle PQR, which statement is not true?segment MN ≅ segment QP
^ would this be the untrue statement?

∠N ≅ ∠Q

segment NO ≅ segment QR

∠O ≅ ∠R

Answers

Answer: segment MN ≅ segment QP

Step-by-step explanation:

We know that if two triangles are congruent then their corresponding sides and angles are congruent.

Therefore, If triangle MNO is congruent to triangle PQR.

Then, segment MN ≅ segment PQ not segment QP [by CPCTC]

because PQ is the corresponding to side MN.

∠N ≅ ∠Q [by CPCTC]

segment NO ≅ segment QR [by CPCTC]

∠O ≅ ∠R [by CPCTC]

Therefore, the untrue statement will be:

segment MN ≅ segment QP

the first one is the untrue statement

Solve each equation with quadratic formula.2v2+12v-27=9v

Answers

$2v^2+12v-27=9v\ \ \ \ /-9v\n\n2v^2+3v-27=0\n\na=2;\ b=3;\ c=-27\n\n\Delta=b^2-4ac\n\n\Delta=3^2-4\cdot2\cdot(-27)=9+216=225\n\nv_1=(-b-\sqrt\Delta)/(2a);\ v_2=(-b+\sqrt\Delta)/(2a)\n\nv_1=(-3-√(225))/(2\cdot2)=(-3-15)/(4)=(-18)/(4)=-4(1)/(2)\n\nv_2=(-3+15)/(2\cdot2)=(12)/(4)=3$

$2v^2+3v-27=0\n\n2(v+4(1)/(2))(v-3)=0\n\nAnswer:v=-4(1)/(2)\ \vee\ v=3.$

A piece of wire 7/8 meter long broke into two pieces.one piece was 1/4 meter long. How is the other piece

Answers

Answer:

The second piece is 5/8 meters.

Step-by-step explanation:

To find the length of the second piece of wire, subtract the length of the first piece of wire from the total.

7/8 - 1/4

Get a common denominator:

7/8 - (1/4) *2/2

7/8 - 2/8

5/8

The second piece is 5/8 meters.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the median is 2

Step-by-step explanation:

Answer:

Third Option.

Step-by-step explanation:

First Option:

The mode means the option that is selected the most.

There are 7 votes for 1 state, hence 1 is the mode as it is voted the most.

FALSE.

Second Option:

The median means the middle when arranged in numerical order.

Arranging them:

$1,1,1,1,1,1,1,2,2,2,2,2,3,3,5$

If you look for the middle term, it is 2 which is the median.

Therefore, the median is not 3.

FALSE.

Third Option:

Four out of 5 students lived in only 1 or 2 states.

$(4)/(5) *15=12$

12 students live in only 1 or 2 states.

If we count the number of people living in 1 or 2 states, we get 12.

TRUE.

Fourth Option:

There is no data for 7 states.

FALSE.

Hank merrill takes scrap aluminum to the recycling center during summer vacation. the recycling center pays $0.14 per pound. how much does hank get for bringing in 27 pounds?

Answers

Answer:

$ 3.78 .-

Step-by-step explanation:

We know that the center pays 0,14$/pound and he's thinking about bringing 27 pounds.

So, we can desing a equation as follow

$(payment)= 0,14$/pound * 27 pounds = $3,78.

$3.78

because he is paid $0.14 per pound, if he brings 27 pounds it is

=0.14 x 27
=3.78

Need some help with this math

Answers

Answer:

4 $ on tax and 36 $ on purchase.hope this helps

Step-by-step explanation:

Answer:

$44

Step-by-step explanation:

Let's set a proportion.

$40 - 100%

$x - 10%

(40 x 10) : 100= $4.

We found out how much is that 10% BUT Steve payed this amount on top of $40. So, $40+$4= $44.

So select 44

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