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erma4kov [3.2K]

3 years ago

11

What is the function that the equation F(x)=3^x represents

1 answer:

Roman55 [17]3 years ago

8 0

Thats an exponential function The variable x is an exponent so that is why its called exponential.

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Find the set of outcomes that occur when we flip 3 coins and obtain at least two tails.

Vikentia [17]

First, I would show all the outcomes possible. To determine the number of the total outcomes, you use the formula: rⁿ, where r is the number of outcomes in 1 flip, and n is the number of lips. Thus, 2³ = 8 outcomes. These outcomes are:

1. HHH
2. TTT
3. HHT
<em>4. HTT</em>
5. HTH
6. THH
<em>7. TTH</em>
<em>8. THT</em>

From the given outcomes, there are <em>3 outcomes</em> that has at least two tails. These are the ones in bold characters.

5 0

3 years ago

Yo broskis another question. Answer it in fraction form.

Olenka [21]

Answer:

-(5/7) please give me brainest

Step-by-step explanation:

3 0

2 years ago

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One step equations: integers <br> 3x=36

Scorpion4ik [409]

Answer:

12

Step-by-step explanation:

3 times 12 is 36

7 0

3 years ago

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Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

7 0

3 years ago

F(x)=−2x+16<br> g(x)=4x+10<br> please give me the intersection points

vagabundo [1.1K]

Answer:

(1, 14)

Step-by-step explanation:

The intersection is when both functions have same coordinates

f(x) = g(x)

Substitute to get

- 2x + 16 = 4x + 10
4x + 2x = 16 - 10
6x = 6
x = 1

The y- coordinate is

y = - 2(1) + 16 = -2 + 16 = 14

So the intersection point is (1, 14)

7 0

2 years ago

Read 2 more answers