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allsm [11]
3 years ago
8

The second statement is the what of the first?

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

  contrapositive

Step-by-step explanation:

The <u>converse</u> statement would be ...

  b ⇒ a

The <u>contrapositive</u> swaps the parts and negates them both:

  ¬b ⇒ ¬a . . . . . matches your given statement

The <u>inverse</u> negates both parts:

  ¬a ⇒ ¬b

A <u>contradiction</u> arises when the implication is false: a is true and b is false.

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Help please! worth a lot of points! Screenshot included
vlada-n [284]

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
suppose f(x)=3x+5. describe how the graph of each function compares to f. 1) g(x)=f(x)+12 2) h(x)=f(x)-7 3) g(x)=f(x=8) 4) h(x)=
Lubov Fominskaja [6]

1)

g(x) = f(x)+12 represents translating f(x) 12 units up to get g(x). This is because y = f(x), so we're effectively adding 12 to each y coordinate of the points on f(x) to have them move to the points on g(x).

note: the term "translating" is another way of saying "shifting" or "sliding".

===================================================

2)

h(x) = f(x)-7 means translating f(x) 7 units down to get h(x). We use the same reasoning as in problem 1. The general form is h(x) = f(x)+k, and in this case, k = -7. The negative k value tells us to shift down.

===================================================

3)

g(x) = f(x+8) means we translate 8 units to the left. The general template is g(x) = f(x-h). If h > 0, then we shift right. If h < 0, then we shift left. The amount that is shifted is equal to the absolute value of h.

===================================================

4)

h(x) = f(x-14) tells us to shift f(x) 14 units to the right. Same idea as problem 3, but now h = 14.

===================================================

5)

g(x) = 4*f(x) means we vertically stretch f(x) by a factor of 4. Since y = f(x), we are effectively doing g(x) = 4*f(x) = 4*y, which pulls the y coordinates upward by a factor of 4. A point like (1,2) will jump to (1,8) after multiplying the y coordinate by 4.

===================================================

6)

g(x) = f(5x) tells us to horizontally compress f(x) by a factor of 5. The general template is g(x) = f(a*x) where the 'a' determines horizontal stretching or compression. If 0 \le a \le 1, then we have horizontal stretching going on. If a > 1, then we'll have horizontal compression.

6 0
3 years ago
The following equation defines f(x)=-3x-5 . If (-5,n) is an ordered pair of the function rule, what is the value of n?
ElenaW [278]

Given:

The function is

f(x)=-3x-5

(-5,n) is an ordered pair of the function rule.

To find:

The value of n.

Solution:

If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.

Substitute x=-5 in the given function.

f(-5)=-3(-5)-5

f(-5)=15-5

f(-5)=10

We know that, f(-5)=n. So,

n=10

Therefore, the value of n is 10.

4 0
3 years ago
Mark wants to buy a PS5 for $499.00. If tax in her local county is 7.75% of the total sale, what is the final cost?
Effectus [21]

Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Using this formula

Final cost =Total sales+ (Total sales×Tax)

Let plug in the formula

Final cost= $499.00+($499.00×7.75%)

Final cost= $499.00+$38.67

Final cost= $537.67

Final cost= $538 (Approximately)

Inconclusion Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Learn more here:

brainly.com/question/13040834

7 0
2 years ago
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What is the unite rate for 42 laps in 6 races?
Nitella [24]
42/6 = 7 laps per race
3 0
3 years ago
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