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sertanlavr [38]
2 years ago
11

If a → b is true, then ~a → b is also true.

Mathematics
1 answer:
Rasek [7]2 years ago
7 0

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If a\Rightarrow b is true, then \neg a\Rightarrow b is also true" holds, you can form the truth table:

\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}

When the result of the column a\Rightarrow b takes value 1 (true), the result of the column  \neg a\Rightarrow b is not always 1, then the statement is false.

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The vertex of this parabola is at (-2, 5) (opens upward)
Rzqust [24]

Answer:

b.  y = 3(x+2)^2 + 5

Step-by-step explanation:

The vertex form of a parabola is

y = a(x - h)^2 + k    where (h, k) is the vertex.

Here  h = -2 and k = 5 so the following could be the required equation\;

y = 3(x+2)^2 + 5

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3 years ago
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Answer:

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2 years ago
Which of the following pairs of functions are inverses of each other?
nignag [31]
Um maybe add some answers choices or a picture next time pls !!
4 0
2 years ago
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Could someone please help me with this question!<br> SSS<br> SAS<br> AAS<br> ASA
alexgriva [62]

Answer:

7. RHS

8.RHS

9.SAS

10.SAS

11.RHS

12.ASA

Step-by-step explanation:

6 0
2 years ago
I need help with this one please
Semmy [17]

Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

an = 900 \times  {f}^{n - 1}

so, now let's try and get f.

remember, 981 = 900 × f

f = 981/900 = 109/100 = 1.09

just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

a13 = 900 × (1.09)¹² = 2,531.398304

s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

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= 900×(-2.065804612) / (-0.09) = 20,658.04612

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7 0
3 years ago
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