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Illusion [34]
3 years ago
7

If Noelle has 4 more quarters than dimes and they have a combined value of 380 cents​

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

JJUVCF

Step-by-step explanation:

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Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!
gayaneshka [121]

Answer:  (0, 25) ∪ (25, ∞)

<u>Step-by-step explanation:</u>

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x          <em>added 5√x to both sides</em>

x² = 25x              <em>squared both sides</em>

x² - 25x = 0             <em>subtracted 25x from both sides</em>

x(x - 25) = 0                 <em>factored the quadratic equation</em>

x = 0   and   x - 25 = 0     <em>applied the Zero Product Property</em>

x = 0   and    x = 25              <em>solved for x</em>

<em />

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x   and   5√x     both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0  and    x ≠ 0    and    x ≠ 25    

so, x is between 0 and ∞  but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included.  Infinity always uses a parenthesis since it is not an actual number.

6 0
3 years ago
Cate has 10 dolls. Shelayna has 3 times as many dolls as Cate. How many more dolls does Shelayna have compared to Cate?
stiv31 [10]
Shelayna has 3 times as many dolls.

3*10=30

Cate has 10.

30-10=20 <=== Shelayna has 20 more dolls than Cate.

I hope this helps!
~kaikers
8 0
3 years ago
The radius of the base of a right circular cone is 4 in., and its slant height is 15 in. If the radius and the slant height are
alukav5142 [94]

Answer:

Step-by-step explanation:

radius r = 4 in

slant height L = 15 in

base area = πr² = 16π in²

lateral area = πrL = 60π  in²

surface area = 76π in²

r = 4×6, L = 15×6

base area = (4×6)²π = 16π×36

lateral area = 60π×36

surface area is multiplied by 36

3 0
3 years ago
Which series of transformations takes the graph of f(x)=3x−8 to the graph of g(x)=−3x+12 ?
kumpel [21]
<span> reflect the graph about the x-axis and translate 4 units down </span>
4 0
3 years ago
Read 2 more answers
Pls answer me ill give points and brainlest​
Elodia [21]

Answer:

Sorry is there any more information i will then change answer

Step-by-step explanation:

7 0
3 years ago
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