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3 years ago

What as a numerical expression four times the sum of 5 and 6

Mathematics

2 answers:

S_A_V [24]3 years ago

8 0

Answer:

4(5+6) = Distribute

20 + 24 = Add

Step-by-step explanation:

bixtya [17]3 years ago

6 0

Answer:

4 * (5 + 6)

Step-by-step explanation:

<u>Step 1: Convert words into an expression</u>

Four times the sum of 5 and 6

<em />

Answer: 4 * (5 + 6)

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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

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3 years ago

A group of 5 people goes to the theater. If each ticket costs $6.50, is $50 a reasonable estimate for the cost of 5 tickets ? Ex

MAVERICK [17]

No it is not because its more then ten numbers away from the solution of the five tickets

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3 years ago

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Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a deb

garri49 [273]

Answer:

0.05

Step-by-step explanation:

8 0

2 years ago

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Priya ran 1 ½ miles today, and Tyler ran 3 ¾ miles today. How many times the length of Tyler's run was Priya's run?

krek1111 [17]

Answer:
2.5
Step-by-step explanation:

6 0

3 years ago

Mrs. Gonzales has only $63.50 to spend at a clothing store. She wants to buy a shirt that costs $28, including tax, and some bra

ehidna [41]

Answer:

Mrs. Gonzales can buy a maximum of 7 bracelets.

Step-by-step explanation:

A shirt costs $28 total.

Bracelets cost $4.50 each total.

Mrs. Gonzales has $63.50 in all, assuming she wants to spend all of it.

Set the equation, let bracelets be denoted by the variable, x.

4.50x + 28 = 63.50

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

4.50x + 28 (-28) = 63.50 (-28)

4.50x = 63.50 - 28

4.50x = 35.50

Next, divide 4.50 from both sides of the equation:

(4.50x)/4.50 = (35.50)/4.50

x = 35.50/4.50

x = ~7.89

However, note that you cannot round up, as you are buying. You also cannot buy .89 of a bracelet, so round down.

x = 7

Mrs. Gonzales can buy a maximum of 7 bracelets.

7 0

2 years ago

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