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3 years ago

15

A hardware store has 147 containers of paint. If each container holds 5 gallons of paint, how many gallons of paint are at the s

tore? Circle the letter of the correct answer.
A 235
B 505
C 735
D 905
Dale chose A as the correct answer. How did he get that answer?

1 answer:

ikadub [295]3 years ago

8 0

C. 735 because 147 times 5 is 735

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6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place

5 is in the thousandths place.

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Find the midpoint of the segment with the given endpoints K(-2,-4) and L(-4,6)

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Which of the following equations have complex roots?

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Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

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As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

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As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

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Learn more about complex roots here:

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