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2 years ago

13

2x + y when x = -4, y = 12

1 answer:

ankoles [38]2 years ago

6 0

Answer: 4

Step-by-step explanation:

We can plug in the x and y values into the expression.

Then, we get 2*(-4) + 12.

Because of the order of operations, we calculate 2* -4 first to get -8 +12.

Lastly, we add -8 and 12 to get 4.

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What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac

anastassius [24]

Answer:

$x =-24$

Step-by-step explanation:

Given

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Required

Solve for x

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Open all brackets

$\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3$

$\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3$

$\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3$

$\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3$

Collect like terms

$\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8$

$\frac{1}{3}x - \frac{1}{6}x =-4$

Solve fraction

$\frac{2-1}{6}x =-4$

$\frac{1}{6}x =-4$

Multiply both sides by 6

$6 * \frac{1}{6}x =-4 * 6$

$x =-4 * 6$

$x =-24$

8 0

3 years ago

If f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)

Molodets [167]

Step-by-step explanation:

g*f(x)=g(x+4)=(x+4)³

g*f(-3)=(-3+4)³

= 1³=1

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3 years ago

If the bottom of a ship is 15.8 below the surface of the sea, calculate the pressure at the bottom of the ship. The density of t

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Given:
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We need to find:
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Answer:
P= ρhg
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3 years ago

In the equation (m^5/6) (m^1/6)^7 = m^x , what is the value of x that makes the equation true?

vlabodo [156]

${m}^{ \frac{5}{6} } \times (m {}^{ \frac{1}{6} } ) {}^{7 } = m {}^{x}$

$m {}^{ \frac{5}{6} } \times m {}^{ \frac{7}{6} } = m {}^{x}$

${m}^{ \frac{5 \times 7}{6 \times 6} } = {m}^{x}$

$\frac{35}{36} = x$

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2 years ago

A skier is on the top of a 350 meter tall mountain looking down at a tree. The direct path from the tree to the skier is 505 met

denpristay [2]

Answer:

$43.87^{\circ}$

Step-by-step explanation:

We are given that

Height of mountain=350 m

Distance from the tree to the skier=505 m

We have to find the angle of depression from where the skier is standing to the base of the tree.

In triangle ABC

$\frac{AB}{AC}=sin\theta$

By using the formula

$\frac{Perpendicular\;side}{Hypotenuse}=sin\theta$

$\frac{350}{505}=sin\theta$

$sin^{-1}(\frac{350}{505})=\theta$

$\theta=43.87^{\circ}$

Hence, the angle of depression from where the skier is standing to the base of the tree= $43.87^{\circ}$

6 0

3 years ago