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3 years ago

If f(x) = x^2 + 3x + 5, what is f(a+ h)?

Mathematics

1 answer:

vfiekz [6]3 years ago

3 0

Answer:

a^2+2ah+h^2+3a+3h+5

Step-by-step explanation:

(a+h)^2+3(a+h)+5

(a+h)(a+h)+3a+3h+5

a^2+ah+ah+h^2+3a+3h+5

a^2+2ah+h^2+3a+3h+5

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The blades of a helicopter's propeller are perpendicular and congruent. The distance between consecutive blade tips is 24 feet.

Leno4ka [110]

Check the picture below.

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3 years ago

Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list

Nataliya [291]

Step-by-step explanation:

For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.

=> (-z)² - 4(z - 5)(5) = 0

=> z² - 20(z - 5) = 0

=> z² - 20z + 100 = 0

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3 years ago

Is a triangle with the three sides being 24 22 and 26 a right triangle?

Vilka [71]

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3 years ago

You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto

jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = $x$ miles

Charges for one mile by Prestige car rentals = $0.07

Charges for $x$ miles by Prestige car rentals = $0.07 $x$

Total charges by Prestige Car rentals = $47 + $0.07 $x$

Charges for one mile by Gateway Auto = $0.12

Charges for $x$ miles by Gateway Auto = $0.12 $x$

Total charges by Gateway Auto = $35 + $0.12 $x$

As per question statement, the charges are same:

$\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}$

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3 years ago

Why is this simplified by combining like terms <br> 3(4x+5) +2

Inga [223]

3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17

3 0

3 years ago

If f(x) = x^2 + 3x + 5, what is f(a+ h)?​

If f(x) = x^2 + 3x + 5, what is f(a+ h)?