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2 years ago

What are the coordinates of the vertex of the graph of f(x)=2|x−3| ? Enter your answer in the boxes.

Mathematics

2 answers:

Marina86 [1]2 years ago

7 0

Notice f(x)=2|x−3| , what value of "x" makes that group 0? well, say if make x = 3, then we get |3 - 3| or 0... so 3 then.

 $\bf vertex~(h,k)\qquad f(x)=2|x-3|+0\implies f(x)=2|\stackrel{h}{\boxed{3}}-3|+\stackrel{k}{\boxed{0}}$

that puts the vertex at 3,0.

Rama09 [41]2 years ago

5 0

Answer:

3,0

Step-by-step explanation:

PROOF

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Solve for x 2(x-7)=0.2(x+2)+5.11

Kryger [21]

Answer:

Step-by-step explanation:

You start off by rewriting the equation:

$2(x-7)=0.2(x+2)+5.11\\$

Then you have to factor:

$2x-14=0.2x+0.4+5.11$

Then you subtract the 0.2x:

$1.8x-14=0.4+5.11$

Add the positives on the right:

$1.8x-14=5.51$

Add 14:

$1.8x=19.51$

Divide:

$x=10.84$

You get x is approximately equal to 10.84

3 0

2 years ago

Find a12 given the geometric sequence 4, 8, 16, 32, ...

SSSSS [86.1K]

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>

Sequences are series of elements generated according to at least one condition, usually equations. geometric sequences are generated according to a exponential formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹ (1)

Where:

a - First element of geometric sequence
b - Common ratio of the geometric sequence
n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

To learn more on geometric sequences: brainly.com/question/4617980

#SPJ1

6 0

1 year ago

a high school student works two summer jobs . One at a coffee shop and one at a grocery store. The coffee shop pays 10$ an hour

Lostsunrise [7]

That's $600....so....he needs 200 more
..he'll need to work 3 hours at the grocery store...giving him a total of =252......and $852 gives him 52 extra dollars :)

3 0

2 years ago

Help with the following problem please

Effectus [21]

Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5

By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1

Area of outer circle = $\pi R^2=\pi7^2=49\pi$
Area of large shaded circle = $\pi x^2=\pi5^2=25\pi$
Area of 4 small shaded circles = $4\pi r^2=4\pi1^2=4\pi$
Total area of shaded circles = $25\pi+4\pi=29\pi$

Shaded area as a fraction of that of the outer circle
$=\frac{29\pi}{49\pi}=29/49$

3 0

2 years ago

Find the angle x (in degrees) that the wheelchair ramp makes with the ground.

iogann1982 [59]

Answer:

x=175

Step-by-step explanation:

The sum of all the degrees in a triangle is 180. First, you have to rind what the third degree of the triangle is. We will call this y.

85+90+y=180

175+y=180

y=5

The floor is flat, so it will be 180 degrees, therefore, x+y=180. We can substitute 5 in for y, so 5+x=180.

So, x would be 175.

8 0

2 years ago