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sashaice [31]
2 years ago
5

Solve for x. x2 + 7x + 10 = 0

Mathematics
1 answer:
Troyanec [42]2 years ago
6 0

Answer:

x = -2, -5.

Step-by-step explanation:

x^2 + 7x + 10 = 0

Note that 2*5 = 10 and 2 + 5 = 7 so the factors are:

(x + 2)(x + 5) = 0

x + 2 = 0 gives x = -2

x + 5 = 0 gives x = -5.

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The decimal equivalent of the fraction 2/15 is____. The number of digits that should be overlined is___.
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0.13 and the amount of digits are 1 because there is only a repeating 3.
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Triangle E F G is shown. Which statements regarding Triangle E F G are true? Select three options. E F + F G greater-than E G E
Leokris [45]

Answer:

options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Step-by-step explanation:

Given triangle EFG.

In each tirangle with sides lengths a, b and c, we always have

a+b>c\\ \\a+c>b\\ \\b+c>a

In triangle EFG:

  • EF+FG>EG;
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So, options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Options 3 and 4 are false.

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2 years ago
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Given that Annie chooses a red shirt at random, what is the probability that the shirt will be large? Use the formula P(A | B)=
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Im also doing this question lemme see...

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6 0
2 years ago
Solve y=4x+rx+6 for x.
MariettaO [177]

Answer:

x = y−6/r+4

Step-by-step explanation:

Let's solve for x.

y=4x+rx+6

Step 1: Flip the equation.

rx+4x+6=y

Step 2: Add -6 to both sides.

rx+4x+6+−6=y+−6

rx+4x=y−6

Step 3: Factor out variable x.

x(r+4)=y−6

Step 4: Divide both sides by r+4.

x(r+4)/r+4=y−6/r+4

5 0
2 years ago
1. Walking to improve health. In a study investigating a link between walking and improved health (Social Science & Medicine
lora16 [44]

Answer:

a) We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

b) For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

c) For this case the significance level is given \alpha=0.01 and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

Step-by-step explanation:

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

Part b

For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

Part c

For this case the significance level is given \alpha=0.01and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

3 0
2 years ago
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