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3 years ago

Two numbers total 65 and have a difference of 33. What are the two numbers?

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Answer:

32 and 33

Step-by-step explanation:

65-33=32

32+33=65 hope this helps

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

2 years ago

What is the next number after 3 -6 12 4 20

Ede4ka [16]

The sequence is alternatingly decreasing and increasing.
3 - 9 = -6
-6 + 18 = 12
12 - 8 = 4
4 + 16 = 20

Therefore, next term will be:
20 - 7 = 13

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3 years ago

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Greeley [361]

Answer:

Step-by-step explanation:

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