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Strike441 [17]
3 years ago
12

Multiply: 5x(2x4 – x3 + 3)

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

10

x

5

A

−

5

x

4

A

+

15

x

A

Step-by-step explanation:

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beks73 [17]

Answer:

(0,8)

Step-by-step explanation:

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3 years ago
What percent is 45 out of 72?
Alenkinab [10]

Answer:

62.5%

Step-by-step explanation:

7 0
2 years ago
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Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.
frosja888 [35]

Answer:

  • See below

Step-by-step explanation:

<u>Use the slope-intercept form, which will be in this case:</u>

  • g(u) = mu + b, where m is the slope, b is the y- intercept

<u>Find the slope:</u>

  • m=(y_2-y_1)/(x_2-x_1)
  • m=(-8-5)/(-5-20)=(-13)/(-25)=13/25

<u>Find the value of the y-intercept:</u>

  • 5=1/25*20+b
  • b=5-4/5=21/5

<u>The equation is:</u>

  • g(u)=\frac{13}{25} u+\frac{21}{5}
3 0
2 years ago
Solve -3y + 12 = -48
fenix001 [56]

Answer:

-3y +12 = -48

-3y = -60

y = -60/-3

y = 20

Step-by-step explanation:

7 0
2 years ago
Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h
dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

Is

y/√(1 + y²) = x^5 + C

So

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0
3 years ago
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