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Brrunno [24]
3 years ago
14

HELP PLEASEEEEEEEEEEEEEEEEWEE

Mathematics
1 answer:
Masja [62]3 years ago
4 0
Answer: measure 2 = 20

Steps:
b = measure 2

4b + b = 100
5b = 100
b = 100/5
b = 20

Check:
4(20) + 20 = 100
80 + 20 = 100
100 = 100 ✅
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What best describes the asymptote of an exponential function of the form f(x)=b^x?
horrorfan [7]

It depends on the value of b


Exponential functions are defined for positive values of the base [ŧex] b [/tex]. Also, they're not defined if b=1, or at least let's say that this is a trivial case, since it is the constant function 1.


Case 0<b<1:

If the base sits between 0 and 1, the exponential function is constantly decreasing. The explanation is quite intuitive, assume for the sake of simpleness that b is rational. If it sits between 0 and 1, it means that it can be written as a fraction p/q, with p<q. So, if you give a large exponent to b, you obtain


\frac{p^x}{q^x},\quad p^x \ll q^x \text{ as } x \to \infty


On the other hand, if you consider negative exponents, you switch numerator and denominator and then raise to the same exponent the fraction q/p, which gets larger and larger.


So, if 0<b<1, we have


\lim_{x \to -\infty} b^x = \infty,\qquad \lim_{x \to \infty} b^x = 0


and thus 0 is a horizontal asymptote as x tends to (positive) infinity.


Case b>1:

This case is very similar, except all roles are inverted. Now you start with a fraction p/q where p>q. So, with positive, large exponents you get


\frac{p^x}{q^x},\quad p^x \gg q^x \text{ as } x \to \infty


And as before, negative exponents switch numerator and denominator, so the fraction becomes q/p and thus you have


\lim_{x \to -\infty} b^x = 0,\qquad \lim_{x \to \infty} b^x = \infty


So, again, 0 is a horizontal asymptote, but this time for x tending towards negative infinite.

6 0
3 years ago
Read 2 more answers
If a regular polygon has 72 sides and an order of 72,what is the polygon’s rotational angle?
Misha Larkins [42]

Answer:

The rotational angle of a regular polygon with 72 sides is 5º.

Step-by-step explanation:

The rotational angle (\theta), measured in sexagesimal degrees, of polygon of n sides is the angle of a complete revolution divided by the number of sides (n). That is:

\theta = \frac{360}{n} (1)

If we know that n = 72, the rotational angle is:

\theta = \frac{360}{72}

\theta = 5^{\circ}

The rotational angle of a regular polygon with 72 sides is 5º.

7 0
3 years ago
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. How much did you spend this month?
mafiozo [28]

Answer:

you spent 45 dollars this month

6 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!
vlabodo [156]

Answer:

57°

Step-by-step explanation:

The sum of both angles is 90°

3x+5x+2=90

8x+2=90

8x=88

x=11

Plug x into the equation

Larger Angle

5(11)+2=57

Smaller Angle

3(11)=33

4 0
3 years ago
Read 2 more answers
What is 5x + 7 &lt; 22 on a number line​
kozerog [31]

Answer:

x < 3

Step-by-step explanation:

5x + 7 < 22 \\ 5x < 22 - 7 \\ 5x < 15 \\ x  <  \frac{15}{5}  \\ x < 3

3 0
3 years ago
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