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Iteru [2.4K]
3 years ago
14

Solve the following problemsAnswer:Explanatoin:​

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
Answer:
1) 121.7
2) 131.8
3) 106.2
4) 88.5
5) 90.3
6) 110.2

Explanation:
Don't worry about the decimals when adding since there all aligned just add like usual, straight through.
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Solve using quadratic formula<br> 6x^2-x=2
Nadya [2.5K]

6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}

x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}

7 0
2 years ago
Given the functions f(x) = 2x -1 and g(x) =
Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

  • f(x) = 2x - 1
  • g(x) =  2 - x

a)

f(x) + g(x) = (2x - 1) + (2 - x)

                = 2x -1 + 2 - x

                = x + 1

b)

f(x) - g(x) = (2x - 1) - (2 - x)

              = 2x - 1 - 2 + x

               = 3x - 3

c)

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

       = -10 - 1

        = -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

d)

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

e)

f(g(x)) = f(2-x)

          = 2(2-x)-1

          = 4-2x-1

          = 3-2x

6 0
3 years ago
collin invests £11180 into his bank account. he receives 4.3% per year simple interest. how much will collin have after 3 years?
borishaifa [10]

Answer:

Step-by-step explanation:

To calculate simple interest use the following formula

Presentvalue(1+it)

where i=interest

t=time

We can easily plug in our values and solve for the answer

11180(1+0.043*3)

Put this into a calculator and get £12622.22

7 0
2 years ago
A bottle holds z ounces of water. A second bottle holds 16 ounces, which is 8/5
Katen [24]

Answer:

The first bottle holds 25 3/5 ounces of water.

Step-by-step explanation:

16 x 8/5

= 16/1 x 8/5

= 128/5

= 25 3/5

5 0
2 years ago
Read 2 more answers
A dice is thrown four times in a row. Find the probability of getting different result each throw.
MatroZZZ [7]

Answer:

the answer is b 1/4 its means got it 1 time same after throwing it 4 times

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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