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3 years ago

Solve for the zeros of the quadratic function f(x) = x + 5 – 2x2.

Mathematics

2 answers:

harkovskaia [24]3 years ago

8 0

Answer:

a= -2

b= 1

c= 5

b^2-4ac= 41

The quadratic function will have 2 real number zeros

Step-by-step explanation:

Edguinity

BaLLatris [955]3 years ago

4 0

Answer:

a= -2

b= 1

c= 5

b^2-4ac= 41

Step-by-step explanation:

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A factory makes 3,000 plastic forks per hour. How many plastic forks will the factory make in 6 hours?

yulyashka [42]

Answer:

18,000 forks

Step-by-step explanation:

They are making 3,000 forks each hour for 6 hours, so you would multiply 3,000 by 6. 3,000 multiplied by 6 is 18,000.

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2 years ago

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If 2^(x+3) - 2x = k(2^x) what is the value of k

svlad2 [7]

Answer:

$\large\boxed{C)\ 7}$

Step-by-step explanation:

Use:

$a^n\cdot a^m=a^{n+m}$

$2^{x+3}-2^x=2^x\cdot2^3-2^x=8\cdot2^x-2^x=(8-1)\cdot2^x=7\cdot2^x\\\\2^{x+3}-2^x=k(2^x)\\\\7\cdot2^x=k(2^x)\Rightarrow k=7$

$8\cdot2^x-2^x=8\cdot2^x-1\cdot2^x=(8-1)(2^x)=7\cdot2^x\\\\\text{distributive property:}\ a(b-c)=ab-ac$

8 0

3 years ago

Exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).

Phantasy [73]

Your answer is h (20’mm) x^c’’

6 0

2 years ago

Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 8 minutes to fill the swimmi

tester [92]

Answer:

<u>The rate the swimming pool is filled is 9 gallons of water per minute</u>

Step-by-step explanation:

Let's review the information provided by Ronald to us to help him to find the answer to the question:

Time it takes to fill the swimming pool = 8 minutes

Amount of water the swimming pool can hold = 72 gallons

2. At what rate does the swimming pool fill, in gallons per minute?

Rate the swimming pool is filled = Amount of water the swimming pool can hold /Time it takes to fill the swimming pool

Replacing with the real values, we have:

Rate the swimming pool is filled = 72/8 = 9 gallons of water per minute

4 0

3 years ago

The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10

Nutka1998 [239]

If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

${a}^{2} + {b}^{2} = {c}^{2}$
Then you have to pose the formula in terms of one of the legs, so:

${a}^{2} = {c}^{2} - {b}^{2}$
$a = \sqrt{ {c}^{2} - {b}^{2}}$
So when you change the letter for numbers you have that:

$a = \sqrt{ {58}^{2} - {42}^{2} }$

a=40

5 0

2 years ago