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2 years ago

H14

Mathematics

1 answer:

lys-0071 [83]2 years ago

4 0

uh I don't unerstand that :(

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Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their location

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Solve the equation x^2+17x+12=-3x^2 to the nearest tenth.

mote1985 [20]

Answer:

$x=-\frac{17}{8}+\frac{\sqrt{97} }{8}$ or $x=-\frac{17}{8}-\frac{\sqrt{97} }{8}$

Step-by-step explanation:

$x^2+17x+12=-3x^2$

Add $3x^2$ on both sides.

$x^2+17x+12+3x^2=-3x^2+3x^2$

$x^2+17x+12+3x^2=0$

Combine like terms;

$4x^2+17x+12=0$

Use the quadratic formula;

a=4

b=17

c=12

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(17)\frac{+}{}\sqrt{(17)^2-4(4)(12)} }{2(4)}$

$x=\frac{-17\frac{+}{}\sqrt{289-192} }{8}$

$x=\frac{-17\frac{+}{}\sqrt{97} }{8}$

$x=-\frac{17}{8}+\frac{\sqrt{97} }{8}$ or $x=-\frac{17}{8}-\frac{\sqrt{97} }{8}$

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3 years ago

1/16^3x=64^2(x+8)<br> Solve for x.

SSSSS [86.1K]

Answer:

x = -4

Step-by-step explanation:

16 = 4*4 = 4²

64 = 4 * 4* 4 = 4³

$(\dfrac{1}{16})^{3x}=64^{2*(x+8)}\\\\\\(16^{-1})^{3x}=64^{2x + 16}\\\\\\16^{-3x}=64^{2x +16}\\\\(4^{2})^{-3x}=(4^{3})^{2x+16}\\\\4^{-6x}=4^{6x +48}$

As bases are same, compare exponents

6x + 48 = -6x

Subtract 48 from both sides

6x = -6x - 48

Add '6x' to both sides

6x + 6x = -48

12x = -48

Divide both sides by 12

x = -48/12

x = -4

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2 years ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equa

Nat2105 [25]

Solution:

As given , g(x)= f(x) + k --------(1)

As also given : f(x) = $\frac{1}{3}$ (x+2)

g(x) = $\frac{1}{3}$ (x+5)

Putting the value of f(x) and g(x) in equation (1).

→ $\frac{1}{3}$ (x+5) = $\frac{1}{3}$ (x+2) + k

→ $\frac{1}{3}[x+5-x-2]$ = k

→ k = $\frac{1}{3} \times 3=1$

So , the value of k is 1.

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4 years ago