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loris [4]
2 years ago
15

juan went to the sporting goods store. he spent $14 on a batting glove. he spent half of the remaining money on a football. late

r, he spent $2 on a sports drink. if he had $10 left, how much money did juan take to the sporting goods store? how much did he spend on the football?
Mathematics
1 answer:
Nuetrik [128]2 years ago
4 0

Answer: 38 dollars

Step-by-step explanation:

  • work in reverse (include dollar sign in your answer, I can't get it on my keyboard)
  • 10  + 2 = 12
  • 12 x 2 = 24
  • 24 + 14= 38
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Felicity's dog eats no more than two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half o
horrorfan [7]

Answer:

\frac{1}{4}+\frac{m}{2}   \leq x\leq 2

x denotes amount of food that Felicity's dog eats

Step-by-step explanation:

Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using m

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = m

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats \geq \frac{1}{4}+\frac{m}{2}

Therefore,

\frac{1}{4}+\frac{m}{2}\leq Amount of food that Felicity's dog eats ≤ 2

Let x denotes amount of food that Felicity's dog eats.

\frac{1}{4}+\frac{m}{2} ≤ \frac{1}{4}+\frac{m}{2}   \leq x\leq 2

3 0
3 years ago
Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20
vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of y=f(x) is a vertical has an asymptote at x=a if at least one of the following statements is true:

1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty

The function is:

f(x)=\frac{x^2+7x+10}{x^2+9x+20}

First of all, let't factor out:

f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq  5

From here:

\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty

\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty

Accordingly:

x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0
4 years ago
What is the source of most of the continent’s electricity? nuclear power natural gas hydro power petroleum
Lerok [7]
The answer would be hydro power because of its waterfalls
5 0
3 years ago
Read 2 more answers
Add: (8a5+2b) + (-6a5+2b)
ser-zykov [4K]
(8a^5 +2b) + (-6a^5 +2b) = (2a^5 +4b)

hope so much that i ve understood it right theses fives are exponents of ,,a"
3 0
3 years ago
-8 times 0.09 times -0.5
Black_prince [1.1K]
The answer is 0.36. I don't think u need to explain why, right ;)
8 0
4 years ago
Read 2 more answers
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