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777dan777 [17]
4 years ago
6

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q

Mathematics
1 answer:
enot [183]4 years ago
5 0
If p is not the hypothesis of a conditional statement then q is not the conclusion
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Find the x and y intercepts of the following function.<br> g(x)=x^2-5x-84
Ahat [919]

Answer:

see explanation

Step-by-step explanation:

To find the y- intercept let x = 0 in the function

g(0) = 0 - 0 - 84 = - 84 ← y- intercept

To find the x- intercepts let y = 0, that is

x² - 5x - 84 = 0

To factor the quadratic

Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term

The factors are - 12 and + 7, since

- 12 × 7 = - 84 and - 12 + 7 = - 5, thus

(x - 12)(x + 7) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 7 = 0 ⇒ x = - 7

x- intercepts are x = - 7 and x = 12

8 0
4 years ago
Evaluate expression of 7+18÷(6-3)
katrin2010 [14]

7 + (18÷3)

=7 + 6

= 13

4 0
3 years ago
Read 2 more answers
Find the area please don’t lie to me
astra-53 [7]

Answer:

<h2>108 yd²</h2>

Step-by-step explanation:

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em><em> - bases</em>

<em>h</em><em> - height</em>

From the picture we have

b_1=19yd,\ b_2=5yd,\ h=9yd

Substitute:

A=\dfrac{19+5}{2}\cdot9=\dfrac{24}{2}\cdot9=12\cdot9=108\ yd^2

3 0
4 years ago
4. In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty
Dvinal [7]

Answer:

  8

Step-by-step explanation:

We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.

By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.

The number of male non-PhDs is twice the number of male PhDs, so we have ...

  2(14 -x) = 20 -x

  28 -2x = 20 -x . . . . eliminate parentheses

  8 = x . . . . . . . . . . . .add 2x-20

The number of female faculty with PhDs is 8.

4 0
4 years ago
Eight less than a number is no more than 14 and no less than 5
GaryK [48]
If you would like to transform the following phrase into a math expression, you can do it like this:

8 less than a number is no more than 14 and no less than 5
a number ... n
8 less ... - 8
no more than 14 .... < 14
no less than 5 ... > 5

<span><span><span>Now you just have to put this together: 5 < n - 8 < 14
If 5 and 14 are included: 5 <= n - 8 <= 14

</span></span></span>
7 0
4 years ago
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