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eduard
3 years ago
15

Can anyone please help me?

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
In the picture are examples to explain the reasoning for the conclusion of, all operations except for division are closed.

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Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = Select the solution(s) of the original equation.
bezimeni [28]

Answer:

\dfrac{-5-\sqrt{21}}{2},\ \dfrac{-5+\sqrt{21}}{2}

Step-by-step explanation:

For the equation (x+4)^2-3(x+4)-3=0 use the substitution u=x+4. Then the equation will take look

u^2-3u-3=0.

Solve this quadratic equation:

D=(-3)^2-4\cdot 1\cdot (-3)=9+12=21,\\ \\u_{1,2}=\dfrac{-(-3)\pm \sqrt{21}}{2}=\dfrac{3\pm\sqrt{21}}{2}.

Thus,

x+4=\dfrac{3-\sqrt{21}}{2}\text{ or }x+4=\dfrac{3+\sqrt{21}}{2},\\ \\x_1=\dfrac{3-\sqrt{21}}{2}-4=\dfrac{-5-\sqrt{21}}{2}\text{ or }x_2=\dfrac{3+\sqrt{21}}{2}-4=\dfrac{-5+\sqrt{21}}{2}.

8 0
3 years ago
Read 2 more answers
8x:2+9=3x+13 What is the result of this equation? Plssss Qual é o resultado dessa equação? Pfv
olasank [31]
Exact form : 4/13
decimal form : .0.307692
5 0
3 years ago
You deposit $300 in an account that account and $54 simple interest in for years what is the annual interest rate
kifflom [539]

Answer:

principal=$300

time=1 year

simple interest=$54

rate=?

Step-by-step explanation:

rate=(simple interest×100)/(principal×time)=(54×100)(300×1)=5400/300=54/3=18% is rate

5 0
2 years ago
Company A packages roofing nails and boxes that are normally distributed with a mean of 272 nails and a standard deviation of 5.
e-lub [12.9K]

Answer:

Company B is more likely to produce a box of 260 roofing nails.

Step-by-step explanation:

Company A :

Mean = 272 nails

Standard deviation = 5.4 nails

Roofing nails expected to be produced = 260

⇒ 260 = 272 + z × 5.4

⇒ z = -2.222

Hence, Company A has a chance of 1.32% of producing exactly or fewer than 260 boxes of roofing nails.

Company B :

Mean = 249 nails

Standard deviation = 3.8 nails

Roofing nails expected to be produced = 260

⇒ 260 = 249 + z × 4.8

⇒ z = 2.895

Hence, Company B has a chance of 0.19% of producing exactly or more than 260 boxes of roofing nails.

Therefore, Company B is more likely to produce a box of 260 roofing nails.

4 0
3 years ago
A corn vendor at a farmer's market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.
N76 [4]

Answer:

The bag of 8 ears of corn

Step-by-step explanation:

2.56/8 = .32 per ear of corn

4.32/12 = .36 per ear of corn

4 0
3 years ago
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