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3 years ago

Simplify. 14.2 • (–6) ÷ 15 • (–4) ÷ 0.4 A. –56.8 B. –3.55 C. 56.8 D. 3.55

Mathematics

1 answer:

snow_tiger [21]3 years ago

3 0

The answer is C. 56.8

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Finding the roots by completing the square

Andrej [43]

For y=x^2-6x-11

complete the square

so roots
set y=0
0=x^2-6x-11

group x terms
0=(x^2-6x)-11
take 1/2 of linear coefient (-6) and square it
-6/2=-3, (-3)^2=9
add positive and neative to inside of parenthasees
0=(x^2-6x+9-9)-11
complete square
0=((x-3)^2-9)-11
expand
0=(x-3)^2-9-11
0=(x-3)^2-20
add 20 to both sides
20=(x-3)^2
sqrt both sides
remember positive and negative roots

+/-2√5=x-3
add 3 to both sides
3+/-2√5=x

so
x=3+2√5 and 3-2√5

6 0

3 years ago

Hi, can you please help me answer this direct proportion question?

Oksanka [162]

Answer:

X = 100

Step-by-step explanation:

In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.

Multiply the left by k, so $y = \frac{k}{\sqrt{x} }$
we know that y= 5, for x = 36, so sub this in the equation
$5 = \frac{k}{\sqrt{36} }$
simplify $5 = \frac{k}{6 }$
re-arrange for k, <u>k = 5*6 = 30</u>
now we know k, we can create the real equation, $y = \frac{30}{\sqrt{x} }$
sub in 3 as y
$3 = \frac{30}{\sqrt{x} }$
<u>x = 100</u>

4 0

2 years ago

Angelica had 8 more pairs of shoes than her mom. Together they have 30 pairs of shoes. How many pair of shoes does each one have

MAVERICK [17]

Answer:

The answer to your question is Angelica 19, her mom = 11

Step-by-step explanation:

Data

Angelica has 8 more than her mother

total number of shoes = 30 pairs

The Number of pairs Angelica has = a = ?

The Number of pairs her mother has = m = ?

Process

1.- Write two equation that help to solve this problem

a = m + 8 Equation l

a + m = 30 Equation ll

2.- Solve the system of equations by substitution

Substitute equation l in equation ll

(m + 8) + m = 30

-Solve for m

m + 8 + m = 30

2m = 30 - 8

2m = 22

m = 22/2

m = 11

3.- Find a

a = 11 + 8

a = 19

4.- Conclusion

Angelica has 19 pairs of shoes and her mom has 11

5 0

3 years ago

I need help ASAP plz

musickatia [10]

It will be a c because it is a 90 degree

5 0

2 years ago

What's the value of this python expression: (2**2) == 4?

vfiekz [6]

Answer:

Python will return:

True

Step-by-step explanation:

The math function ** is an exponent indicator.

The equation you made was:
$2^2 =4$

When you run this in python, it will return as true.

It is run as a Boolean expression because you have already provided the answer to the expression with the "==" statement.

If you had provided an incorrect answer (setting it equal to any number other than 4), it would return False.

7 0

2 years ago