Factor the expression 20x+12 using the GCF.

4. This is a

bixtya [17]

Answer:

Step-by-step explanation:

4). This is an exponential function.

5). Let the equation of this function is,

f(x) = a(b)ˣ

Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

For (-1, 4),

4 = a(b)⁻¹

4 = $\frac{a}{b}$ --------(1)

For (0, 6),

6 = a(b)⁰

a = 6

From equation (1),

4 = $\frac{6}{b}$

b = $\frac{6}{4}$ = 1.5

Therefore, equation of the function will be,

f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

f(-4) = 6(1.5)⁻⁴

= 1.185

3 0

3 years ago

E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))

olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

$T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}$

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

$T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}$

Then we have

$\rm \triangledown T = \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)$

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

$\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}$

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction $\triangledown$ T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0

2 years ago

Beth made wristbands and belts for a craft sale. She sold 30 of these items. Each Wristband sold for $5.50. Each belt sold for $

Serhud [2]

Let W = number of wristbands.
Let B = number of belts.

Number equation: W + B = 30
Value equation: 5.50W + 8.75B = 204.00

Multiply the top equation by 5.50 and subtract it from the bottom equation:
5.50W + 8.75B = 204.00 <--- 5.50(W + B = 30)
5.50W + 5.50B = 165.00
---------------------------------
---> 3.25B = 39.00 <--- subtract down the columns
---> B = 12 <--- divide by 3.25

Since W + B = 30 ---> W + 12 = 30 ---? W = 18

There were 12 belts and 18 wristbands.

3 0

3 years ago

I will say tje question "use the rule to write the first five terms of the pattern rule add 10 subtract 5" can anyone help??

12345 [234]

You're basically adding five because 10 - 5 = 5. Start from zero.

5, 10, 15, 20, 25

4 0

3 years ago

What is the difference between 3.9 and -1.6

mars1129 [50]

If you subtract the two you will get 5.5

8 0

4 years ago

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