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2 years ago

The tables below show two functions. For each set of data:

1 answer:

4 0

The first table, representing f(x), is linear. The data have a constant rate of change or slope:
(between the first two points): m = (y₂ - y₁)/(x₂ - x₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points): m = (34-30)/(2-1) = 4/1 = 4.

The second table, representing g(x), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ cross multiply

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

2 years ago

» Alexander has some watermelons. He gathers 13 more watermelons. He now has 62 watermelons.

Vilka [71]

Yeah but what is the question?

3 0

2 years ago

An electrician charges $45 for each home visit plus $19.95 every hour he spends working. Which sentence could be used to find C,

VARVARA [1.3K]

Answer:

C= 45 + 19.95h

Step-by-step explanation:

45 for each home vist means one time payment

19.95 ever hour means you are charged 19.95 every hour

H= hour

4 0

2 years ago

L=a+(n-1)d solve for n

earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides: L - a = (n-1)d

2) Divide both sides by d: (L-a)/d = n-1

3) Add 1 to both sides, to isolate n: (L-a)/d + 1 = n

3 0

2 years ago

Translate (3,2) to the left one unit. Then reflect the result over the y-axis. What are the coordinates of the final point?

OleMash [197]

Answer:

(-2, 2)

Step-by-step explanation:

Take point (3, 2) and first translate it left one unit. Now the point is (2, 2)

Now reflect it over the y-axis. Doing so keeps the y value the same, we have a vertical line of reflection, so we are only changing the distance to the y-axis, which is the x-value.

Our x value is 2 units away from the y axis, so its reflection will be 2 units away on the other side of the axis.

The new x value is -2, so the point is (-2, 2)

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2 years ago