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Nana76 [90]
3 years ago
11

Write a quadratic function with two real zeros.

Mathematics
1 answer:
satela [25.4K]3 years ago
5 0
The formula for quadratic equation is given by:

 x² - (sum)x + (product) = 0

so if we have real roots of 3 and 5 

<span> x² - (3 + 5)x + (3*5) = 0
</span> x² - 8<span>x + 15 = 0
</span>
so if we have real roots of -3 and -6  

<span> x² - (-3 - 6)x + (-2*-6) = 0
</span> x² - (-9<span>x) + 12 = 0
</span> x² + 9<span>x + 12 = 0</span>
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Eighty two point thirty three ..?
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Bi-conditional<br><br> You have a dog if and only if you have a pet. true or false
Natali5045456 [20]

Answer:

False

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If the conditional statement was if you have a dog then you have a pet, that would be the biconditional statement. The conditional is true but since not both parts of the biconditional are true, it is false.

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3 years ago
A rectangle measures 2 4/ 5 inches by 1 1/ 5 inches. What is its area?
AlexFokin [52]

[ Answer ]

\boxed{3\frac{9}{25} }

[ Explanation ]

Area Of Rectangle: Length * Width

2 4/5 * 1 1/5

=======================

Convert Fractions Into Mixed Numbers:

2 4/5 = 14/5

1 1/5 = 6/5

Multiply Across:

14 * 6

5 * 5

= 84/ 25

Simplify:

3 9/25

\boxed{[ \ Eclipsed \ ]}

4 0
3 years ago
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
3 years ago
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