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lions [1.4K]
3 years ago
8

Can you solve this got less than 30 minutes

Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

Answer:

2x-3y=-8?

Step-by-step explanation:

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Simplify the polynomial expression given below.<br><br> (2x − 1)(2x2 + 5x + 3) + (3x + 6)
fenix001 [56]

Answer:

4x^{3}+8x^{2} +4x+3

Step-by-step explanation:

Hello

To simplify the polynomial we must eliminate the parentheses

by definition

ax^{n}*bx^{m} =abx^{n+m}

(2x-1)(2x^{2} +5x+3)+(3x+6)\\(4x^{3} +10x^{2} +6x-2x^{2} -5x-3)+(3x+6)\\\\We\ add\ the\ similar\ terms\\\\(4x^{3}+8x^{2} +x-3)+(3x+6)\\\\4x^{3}+8x^{2} +4x+3

I hope it helps

Have a great day

5 0
3 years ago
Read 2 more answers
sunscreen is priced at $10 per bottle plus 8% tax if Tanya purchases a bottle of sunscreen with a $20 bill then what is her chan
alina1380 [7]

$9.20

10*1.08 is 10.80. 20 - 10.80 is 9.20.

3 0
3 years ago
Read 2 more answers
What is the square root of 144?
Andrews [41]

Answer:

12, -12

Step-by-step explanation:

sqrt(144)

What number times itself = 144


12*12 = 144

Also -12*-12 = 144


6 0
3 years ago
Read 2 more answers
Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
3 years ago
Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of B
coldgirl [10]

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

5 0
3 years ago
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