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Grace [21]
3 years ago
12

(4x-3)(2x^2-7x+1) what is the product of this please help!

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

8x^{3}-34x^{2}+25x-3

Step-by-step explanation:

In order to solve this problem, lets take the two terms in the binomial (4x and -3) and, for each one, multiply them by each term in the trinomial (2x^2, -7x, and 1):

(4x-3)(2x^{2}-7x+1)

(4x*2x^{2})+(4x*-7x)+(4x*1)+(-3*2x^{2})+(-3*-7x)+(-3*1)

8x^{3}+(-28x^{2})+4x+(-6x^{2})+21x+(-3)\\

8x^{3}-28x^{2}+4x-6x^{2}+21x-3

Let's combine like terms to get our final answer:

8x^{3}-28x^{2}-6x^{2}+4x+21x-3

8x^{3}-34x^{2}+25x-3

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A triangle has side lengths of 7 centimeters, 5 centimeters, and c centimeters.
storchak [24]
Sum of two sides always greater than the third side

If c is the smallest number, then

5 + c > 7
c > 2

If c is the largest number, then

5+7>c
12>c

Adding c>2 and 12>c, you get 12>c>2 for the answer
4 0
4 years ago
Read 2 more answers
John can mow a lawn in 80 minutes. Rocky can mow the same lawn in 120 minutes. How long does it take for both John and Rocky to
mario62 [17]

Answer: it will take them 48 minutes.

Step-by-step explanation:

John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80

Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/80 + 1/120 = 200/9600 = 1/48

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

1/48 = 1/t

t = 48 minutes

4 0
3 years ago
How do u find the answer to this
stepladder [879]
11^0 is 1.
11^2= 121

121/1= 121

Final answer: 121
6 0
4 years ago
What is - 4i ^ 19, simplify
german

Answer:

"i"

Step-by-step explanation:

i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\

the cycle repeats every 4

19/4 = 4.75

16 is divisible by 4 plus three more

thus  i^{19} = -i  but you problem has a minus in front  so "i"

7 0
3 years ago
Write a two column proof
atroni [7]

Answer:

Step-by-step explanation:

Given:

TU ≅ WU

∠T ≅ ∠W

To Prove:

\overline{TS} \cong \overline{WV}

Proof:

In  Δ TUS and Δ  WUV

STATEMENT                                                 REASON

1. TU ≅ WU                                     1. Given

2. ∠T ≅ ∠W                                    2. Given

3.∠TUS ≅ ∠WUV                           3. Vertically Opposite Angles are equal

4. ΔTUS  ≅ ΔWUV                         4. Angle-Side-Angle congruence test.

5. ∴ TS ≅  WV                                 5. Corresponding parts of congruent triangles.

\overline{TS} \cong \overline{WV}.......Proved

3 0
3 years ago
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