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Naya [18.7K]
3 years ago
8

F(x)=x^2-x-12, find f(x)=-12 *problem b

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0
Plug in -12 for f(x)!

-12=x^{2}-x-12

Now get the left side equal to zero so you can factor:

0=x^{2}-x

Now you can factor out an x!

0=x(x-1)

So for that to equal zero, x=0 or x=1!

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Write an equation for the line that is parallel to the given line and that passes through the given point.
lisabon 2012 [21]

Answer:

The correct answer is D) y = 1/2x - 14

Step-by-step explanation:

To find this equation, start with the slope of the original line. Since it is 1/2, the new line will also have that slope because parallel lines have the same slope. Now we can use this with the given point to find the equation.

y - y1 = m(x - x1)

y + 17 = 1/2(x + 6)

y + 17 = 1/2x + 3

y = 1/2x - 14

5 0
3 years ago
Please Help And NO LINKS OR U BE REPORTED!
Elis [28]

Answer:

I believe your answer is B

4 0
3 years ago
Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.
mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

1 \text{ feet} = 0.3048 \text{ meter}

1 \text{ meter} = \frac{1}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}

Now, Feet into inches

1 \text{ feet} = 12\text{ inches}

\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}

\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}

i.e.  17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}

or 17.42 \text{ meter} =57'\frac{232}{381}''

None of these answers is reasonable.

Therefore, Option E is correct.

5 0
3 years ago
Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state
ehidna [41]

Answer:

The answer is: the satement is FALSE.  

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

  • p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.  
  • p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.  

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C)  ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

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8 0
4 years ago
David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns $11 per hour working at the coffee sho
denpristay [2]

Answer:

The answer is 5 hours.

Step-by-step explanation:

First you have to figure out how much money he already had by working at the coffee shop, so take the 15 hours and multiply it by 11$ he makes per hour and you get 165$, now you have to subtract the 200$ by 165$ to figure out how much he needs so 200 - 165 = 35 that is needed, then you keep going up an hour until your total comes above 35 so if he does 1 hour its 8, 2 hours is 16, 3 hours is 24, 4 hours is 32, and 5 hours is 40 which is finally enough to reach his goal.

5 0
4 years ago
Read 2 more answers
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