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3 years ago

What numbers multiply to give me 12 but add to give me -7

Mathematics

2 answers:

Bad White [126]3 years ago

6 0

-4 and -3 is the answer

romanna [79]3 years ago

5 0

Answer:

-4 and -3

A negative times a negative results to a positive number, but when two negative numbers are added to each other, it still results to a negative number.

Hope I helped!

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For some constants a and b let \[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x

Viktor [21]

Answer:

The value of a+b is 4.

Step-by-step explanation:

The given function is

$f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.$

It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.

For x≤3,

$f(x)=9-2x$

For x>3,

$f(x)=ax+b$

At x=0,

$f(0)=9-2(0)=9$

$f(f(0))=f(9)\Rightarrow a(9)+b=9a+b$

Using property f(f(x))=x,

$f(f(0))=0$

$9a+b=0$ .... (1)

At x=1,

$f(1)=9-2(1)=7$

$f(f(1))=f(7)\Rightarrow a(7)+b=7a+b$

Using property f(f(x))=x,

$f(f(1))=1$

$7a+b=1$ .... (2)

Subtract equation (2) from equation (1).

$9a+b-(7a+b)=0-1$

$2a=-1$

Divide both sides by 2.

$a=-\frac{1}{2}$

Substitute this value in equation (1).

$9(-\frac{1}{2})+b=0$

$b=\frac{9}{2}$

The value of a is $-\frac{1}{2}$ and value of b is $\frac{9}{2}$ . The value of a+b is

$a+b=-\frac{1}{2}+\frac{9}{2}$

$a+b=4$

Therefore the value of a+b is 4.

5 0

3 years ago

Sara's savings account balance changed by -$34 one week and by -$67 the next week .Which amount represents the greater change?

podryga [215]

Negative 67 have the greater change

4 0

3 years ago

What does n equals when 10= -8+n divided by 4

kkurt [141]

Do you mean Divide the answer by 4? Anyway you need to make the "n" by itself so add 8 to both sides.

8 0

3 years ago

A Canadian football field is 110 yd long and an American football field is 100 yd

GalinKa [24]

The Canadian field is 30 feet longer (1 yard = 3 feet]

7 0

3 years ago

I REALLY NEED HELP<br><br> Use the distributive property to simplify the expressions: 3(x + 7)

kiruha [24]

Answer:

3x + 21 is your answer

Step-by-step explanation:

3(x+7)

3 × x = 3x

3 × 7 = 21

3x = 21

4 0

3 years ago