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kobusy [5.1K]
2 years ago
14

7b^2 - 14b - 56 = 0 Solve by completing the square

Mathematics
1 answer:
Yakvenalex [24]2 years ago
5 0

Answer: <em>7(b-1)^2-63</em>

Step-by-step explanation:

Factor out 7

<em>7(b^2-2b-8)</em>

Add and subtract (-1)^2:

<em>7(b^2-2b-8+(-1)^2-(-1\)^2)</em>

Complete the square:

<em>7((b-1)^2-8-(-1)^2)</em>

<em />

Simplify:

<em>7(b-1)^2-63</em>

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The store buys a helmet for $19.00 and sells it for $31.50. What percentage was the markup?
denis-greek [22]

Answer:

60.317460317460317460(repeating)

Step-by-step explanation:

19.00×100=1900

1900÷31.50=60.317460(repeating)

5 0
3 years ago
Read 2 more answers
In 1982 John Hinckley was on trial, accused of having attempted to kill the then US President Ronald Reagan. Hinckley was found
Nadya [2.5K]

Answer:

O.186 or 18.6%

Step-by-step explanation:

Let s = event of schizophrenia

B = brain atrophy

From our question we have:

P(s) = probability of those suffering from schizophrenia = 1.5% = 0.015

P(B|S) = probability of brain atrophy = 30% = 0.30

P(S') = 1 - 0.015 = 0.985

P(B|S') = 2% = 0.02

Probability Hinckley suffered from schizophrenia

= P(S|B) = P(B|S)P(S)/P(B|S)P(S)+P(B|S')P(S')

= (0.30x0.015)/(0.30)*(0.015)+(0.02)(0.985)

= 0.0045/0.0045+0.0197

= 0.0045/0.0242

= 0.185950

This is approximately 0.186 or 18.6%

4 0
3 years ago
In Lila's classroom there are red chairs, yellow chairs, and blue chairs. There are 5 red chairs.
Alex777 [14]

Answer:

Seven

Step-by-step explanation:

(())(())(())))

8 0
3 years ago
Read 2 more answers
Find the percent of change. Original: 80, new: 64
lara31 [8.8K]
Hi there!

To find the percent of change we can use the following formula:
\frac{new - old}{old} \times 100\%

Let's fill in our data
\frac{64 - 80}{80} \times 100\% =

Subtract
\frac{ - 16}{80} \times 100\% =

Divide
- 0.2 \times 100\%

And finally multiply
- 20\%

Hence, the percent of change is negative 20%.
~ Hope this helps you!
3 0
3 years ago
3. Which inequalities show a correct relationship between expressions?
igomit [66]

Answer: a and d

Step-by-step explanation:

First of all, we need to make a analysis of each letters:

a. factoring 32 = 2.2.2.2.2 = 2^{5}

2^{5}^{3} = 2^{15}

then,

16 = 2^{4}

but 2^{4}^{4} =2^{16}

in conclusion that, this inequality is correct

b. 27 =  3^{3}

this first situation is equal to  3^{9}

the second situation is:

81 =  3^{4}

and  3^{4}^{4} = 3^{16}

it's a mistake.

c. factoring 9: 9 = 3^{3}

3^{9} <  3^{5}

it's wrong.

d. factoring 8 = 2^{3}

factoring 32 =  2^{5}

2^{12} >  2^{10}

This is true.

Finally.. our correct answers is a and d.

3 0
3 years ago
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