All categories

2 years ago

A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?

Mathematics

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

(4, 3).

Step-by-step explanation:

Input 4 (x = 4):-

y = -2(4) + 11

= -8 + 11

= 3.

You might be interested in

Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi

maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is $x=\frac{-31+29}{2}=-1$

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is $y=\frac{8+-10}{2}=-1$

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed $\frac{2}{3}$ of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is $x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11$

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is $x=\frac{(8)(1)+(-1)(2)}{2+1}=2$

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0

3 years ago

If you simplify 4(3x + 8) - 3 . What will your answer be ?

scoundrel [369]

1.) Distribute 4 to (3x) & (8): $4*3x=12x$ , $4*8=32$
2.) Rewrite the expression: $12x+32-3$
3.) Combine like terms: $32-3=29$
4.) Rewrite the final expression: $12x+29$
Final Answer: <span> $12x+29$
Hope this helps!!
</span>

8 0

4 years ago

Read 2 more answers

What is not a problem modular division is used for?

Oksana_A [137]

Answer:

First let's define what modular arithmetic is, what would come is an arithmetic system for equivalence classes of whole numbers called congruence classes.

Now, the modular division is the division in modular arithmetic.

Answering the question, a modular division problem like ordinary arithmetic is not used, division by 0 is undefined. For example, 6/0 is not allowed. In modular arithmetic, not only 6/0 is not allowed, but 6/12 under module 6 is also not allowed. The reason is that 12 is congruent with 0 when the module is 6.

4 0

3 years ago

Solve this proportion: 8/x = 2/5. x =

Taya2010 [7]

8/x= 2/5

8•5= 2•x

40=2x

40/2= x

20= x

3 0

3 years ago

1767tires each truck needs 6 tires how many can we get in all

vodomira [7]

Answer:

294

Step-by-step explanation:

It exactly 294.5 but a car cant function with just half of its tires :'). So in this case instead of rounding up we round down. They will just have extra tires.

6 0

3 years ago