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andrezito [222]
3 years ago
7

The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

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19. A quadratic equation is shown below.
victus00 [196]

Answer:

\{\sqrt b, -\sqrt b\}

Step-by-step explanation:

Given

a^2 - b = 0

Required

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a^2 - (\sqrt b)^2 = 0

Apply difference of two squares:

(a - \sqrt b)(a + \sqrt b) = 0

Split:

(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0

Remove brackets:

a - \sqrt b= 0 \ or\ a + \sqrt b = 0

Make a the subject in both equations

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6 0
3 years ago
An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2. 
H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
               = 0.12 / 0.42
               = 0.286
the final answer is 0.286
6 0
3 years ago
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zvonat [6]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Consider the following two ordered bases of R2 R2: BC=={⟨1,2⟩,⟨3,5⟩},{⟨−1,1⟩,⟨1,−2⟩}. B={⟨1,2⟩,⟨3,5⟩},C={⟨−1,1⟩,⟨1,−2⟩}. Find th
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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faust18 [17]

Answer:

Hope this helps

Step-by-step explanation:

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