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3 years ago

18. Solve the following equation: 3(4x+8)=2(6x +12)

Mathematics

2 answers:

Anarel [89]3 years ago

8 0

Answer:

True for all x

3(4x+8)=2(6x+12)

12x+24=12x+24

12x+24-24=12x+24-24

12x=12x

12x-12x=12x-12x

0=0

True for all x

Step-by-step explanation:

V125BC [204]3 years ago

6 0

The answer for this is 0

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Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0

creativ13 [48]

Applying the differentiation rule, it can be obtained that:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

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The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

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$\frac{d}{dt}(e^{mt})=me^{mt}$ .

Given that $r(t)=(e^t,e^{2t})$ .

So, differentiating $r(t)=(e^t,e^{2t})$ with respect to $t$ , we get: $r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right)$ .

So, using the above formula $\frac{d}{dt}(e^{mt})=me^{mt}$ , we get: $r'(t)=(e^t,2e^{2t})$ .

Now, substituting $t=t_0=0$ in $r(t)=(e^t,e^{2t})$ and $r'(t)=(e^t,2e^{2t})$ , we obtain:

$r(t_0=0)=(e^0,e^{2\times 0})=(1,1)$ and $r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2)$ .

Therefore, applying the differentiation rule, we get:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

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1 year ago

URGENT! if ABCD is dilated by a factor of 2, the coordinate of A' would be:

koban [17]

After dilating the quadrilateral ABCD by a factor of 2 and with respect to the origin, the point A(x, y) = (-3, -1) is transformed into the point A'(x, y) = (-9, -3).

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A'(x, y) = A(x, y) + k · [A(x, y) - O(x, y)] (1)

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If we know that A(x, y) = (-3, -1), k = 2 and O(x, y) = (0, 0), then the coordinates of A' are:

A'(x, y) = (-3, -1) + 2 · [(-3, -1) - (0, 0)]

A'(x, y) = (-3, -1) + (-6, -2)

A'(x, y) = (-9, -3)

After dilating the quadrilateral ABCD by a factor of 2 and with respect to the origin, the point A(x, y) = (-3, -1) is transformed into the point A'(x, y) = (-9, -3).

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2 years ago

The mass of a textbook is about 1.25 kilograms. about how many pounds is this?

krok68 [10]

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4 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).

Lena [83]

Answer:

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Step-by-step explanation:

f(h(x))=f(2x+3)=2x+3-7= 2x-4

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3 years ago

18. Solve the following equation: 3(4x+8)=2(6x +12)​

18. Solve the following equation: 3(4x+8)=2(6x +12)