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2 years ago

Number Sense A bike helmet has a

Mathematics

2 answers:

Zarrin [17]2 years ago

6 0

Answer: The estimate is greater than the actual mass.

labwork [276]2 years ago

6 0

Answer: Elena is right, that is about 300 grams so her estimate is equal to the actual mass

Step-by-step explanation:

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Write an equation in standard form of a quadratic function that has x-intercepts -2 and 5 and k=-4

bulgar [2K]

Answer:

-2x + 5 = -4k

Step-by-step explanation:

8 0

3 years ago

The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water is the

SOVA2 [1]

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

6 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

3 years ago

The mean mark is 70% there are 30 students 20 of which are boys with a mean mark if 62% what is the mean for girls

Anna007 [38]

Answer:

This problem can be solved by working backwards.

Average of 30 students = 70.

Total marks of all the 30 students = 30x70 = 2100

Out of these 30, average of 20 students = 62

Total marks of these 30 students = 30x62 = 1860

So the total marks of the remaining 10 students = 2100-1860 = 240

Hence the average of the remaining 10 students = 240/10 = 24

7 0

3 years ago

Carolina is making punch for a party. She made 6 bowls of punch. Each bowl holds 2 1/2 gallons of punch. 1 gallon is equal to 4

Roman55 [17]

Answer:

60 people

Step-by-step explanation:

Bowls of Punch = 6

Each bowl holds 2 1/2 gallons of punch

6 bowls = 2 1/2 gallons × 6

= 5/2 × 6 gallons

= 30/2

= 15 gallons

6 bowls of Punch = 15 gallons of Punch

1 gallon = 4 quarts

15 gallons = 4 × 15 quarts

= 60 quarts

6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch

She thinks each person will drink about 1 quart of punch.

How many people will the 6 bowls of punch serve?

6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch

60 quarts of punch / 1 person

= 60 people

The 6 bowls of punch will serve 60 people

5 0

3 years ago