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KengaRu [80]
2 years ago
5

Solve the following absolute value inequality

Mathematics
1 answer:
NikAS [45]2 years ago
8 0

Answer:

x < -1

x > -13

Step-by-step explanation:

\dfrac{4|x+7|}{3}

\implies 4|x+7|

\implies |x+7|

\textsf{Therefore} \ \ x+7  

x+7

\implies x

-(x+7)

\implies -x-7

\implies -x

\implies x > -13

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1&lt;br /&gt;Questão 10 - Um capital aplicado a&lt;br /&gt;umos simples durante 2 anos, sob&lt;br /&gt;taxe de juros de 5% ao mê
Elden [556K]

Answer:

2.995 ou 35.940 (?)

Step-by-step explanation:

Não me lembro exatamente como fazer isso, vou mostrar duas maneiras diferentes de resolver isso.

Use a fórmula l = P * r * t

| = Juros

P = Principal

r = taxa

t = tempo

Para resolver isso, você terá que ... O principal é 29.950, a taxa é 5%, mas se tornará um decimal que é 0,05, e o tempo é 2 Coloque-o na forma de fórmula 29.950 * 0,05 * 2 = 2.995 em interesse

Ou .. Você usará a mesma fórmula, mas desta vez multiplique 0,05 por 12, pois há 12 meses em um ano que é 0,6, então ... 29.950 * 0,6 * 2 = 35.940 de juros

Espero que funcione!

7 0
3 years ago
Read 2 more answers
find the average rate of change from t=2 to t=5 for the velocity function v(t)=t^2-t+10. WILL GIVE THE BRAINLIEST ANSWER--EXPLAI
Elina [12.6K]
Answer: The average rate of change is 6.
First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.

v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12

v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30

You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is A(x) =  \frac{f(x)-(f(a)}{x-a}. When you plug in the values from this particular case, the average rate of change formula becomes A(t) = \frac{30-12}{5-2}, or A(t)= \frac{18}{3}.

Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 6.
8 0
3 years ago
A rectangle has a height of 3p2+1 and a width of p3+4 your answer should be a polynomial in standard form
drek231 [11]

Answer:

3p^5+p^3+12p^2+4

Step-by-step explanation:

5 0
3 years ago
Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? (30 pts)
neonofarm [45]

Alright, so first we need to establish two things.

First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.

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The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.

The answer, I believe, is <em>two</em>. Hope this helps!

6 0
3 years ago
Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
Marat540 [252]
I = Prt
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r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700
5 0
3 years ago
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