All categories

3 years ago

Graph the inequality 7< y -3x < 11

Mathematics

1 answer:

alexira [117]3 years ago

4 0

Answer:

X=5 Y=-4

Step-by-step explanation:

You might be interested in

On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.

ivolga24 [154]

Answer:

If point C represents -1, then each space is 1 unit.

So, A = -10

B = -4

D=2

E=9

Let me know if this helps!

3 0

3 years ago

If F(x) = f(x)g(x), where f and g have derivatives of all orders

user100 [1]

a. By the product rule,

$F=fg\implies F'=f'g+fg'$

$\implies F''=(f''g+f'g')+(f'g'+fg'')=f''g+2f'g'+fg''$

b. By the same rule,

$F'''=(f'''g+f''g')+2(f''g'+f'g'')+(f'g''+fg''')$

$F'''=f'''g+3f''g'+3f'g''+fg'''$

and

$F^{(4)}=(f^{(4)}g+f'''g')+3(f'''g'+f''g'')+3(f''g''+f'g''')+(f'g'''+fg^{(4)})$

$F^{(4)}=f^{(4)}g+4f'''g'+6f''g''+4f'g'''+fg^{(4)}$

c. You might recognize the coefficients as those that appear in the expansion of $(a+b)^n$ :

1, 1

1, 2, 1

1, 3, 3, 1

1, 4, 6, 4, 1

and so on; the general pattern (known as the general Leibniz rule) is

$F^{(n)}=\displaystyle\sum_{k=0}^n\binom nkf^{(n-k)}g^{(k)}$

6 0

3 years ago

Can someone help me do this ?how do i solve for Y

marin [14]

7x+5y=20
move y by itself

7x+5y=20
minus 7x from both sides
7x-7x+5y=20-7x
0+5y=20-7x
5y=20-7x
divide both sides by 5
5y/5=(20-7x)/5
y=(20-7x)/5
y=(20/5)+(-7x/5)
$y=4- \frac{7x}{5}$

7 0

3 years ago

What is name the line three way

alexgriva [62]

We name angles in three different ways:
(1) We can name angles by using THREE capital letters like: ABC or DEF. The middle letter is called the VERTEX of the angle. The above angles are read "angle ABC" and "angle DEF." This leads us to the second way we can name angles.
(2) We can name angles by using the vertex. For example, ABC, can also be called angle B; the same applies to DEF (we can call angle DEF angle E). Of course, if there's more than one angle sharing the same vertex this would be confusing!
(3) We can also name an angle by placing any number or symbol at the vertex in the INTERIOR of the angle. So, angles can also be called angle 1 or angle 2 or angle 4, etc.

8 0

3 years ago

-2(x+1)+6x<-14<br>I need help

jeka57 [31]

Answer:

x<-3

Step-by-step explanation:

-2(x+1)+6x<-14

Distribute

-2x-2 + 6x < -14

Combine like terms

4x -2 < -14

Add 2 to each side

4x-2+2 < -14+2

4x < -12

Divide by 4

4x/4 < -12/4

x<-3

3 0

3 years ago