Answer:
![\Huge \boxed{-42}](https://tex.z-dn.net/?f=%5CHuge%20%5Cboxed%7B-42%7D)
Step-by-step explanation:
To solve this problem, first you have to multiply numbers from left to right.
![\displaystyle (7)(-6)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%287%29%28-6%29)
Make sure to remove parenthesis.
![\displaystyle -7\times6=-42](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-7%5Ctimes6%3D-42)
Therefore, the correct answer is -42.
<h2>I hope this helps!</h2><h2>Have a wonderful blessing day! :) </h2><h2>Good luck!</h2>
Answer:
4095
Step-by-step explanation:
This can be evaluated by substituting n = 1 to n = 6 into the expression and summing the terms, that is
3(
)
= 3(
+
+ 4² + 4³ +
+
)
= 3(1 + 4 + 16 + 64 + 256 + 1024)
= 3(1365)
= 3 × 1365
= 4095
2a + 7b = 0 ⇒ 10a + 35b = 0
3a - 5b = 31 ⇒ 21a - 35b = 217
31a = 217
a = 7
2a + 7b = 0
2(7) + 7b = 0
14 + 7b = 0
7b = -14
b = -2
(x, y) = (7, -2)
1. Associative Property of Addition
2. Addition Property of Equality
3. Division Property of Equality
4. Substitution Property of Equality
5. Multiplication Property of Equality
6. Subtraction Property of Equality
7. Simplify
Answer:
$360
Step-by-step explanation:
Find 3% of 500 = 15
Multiply 15 by 24 = 360
The formula of a midpoint between two points:
![M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5C%20%5Cdfrac%7By_1%2By_2%7D%7B2%7D%5Cright%29)
We have:
![(5,\ -2)\to x_1=5,\ y_1=-2\\\\(-1,\ 3)\to x_2=-1,\ y_2=3](https://tex.z-dn.net/?f=%285%2C%5C%20-2%29%5Cto%20x_1%3D5%2C%5C%20y_1%3D-2%5C%5C%5C%5C%28-1%2C%5C%203%29%5Cto%20x_2%3D-1%2C%5C%20y_2%3D3)
Substitute:
![\dfrac{5+(-1)}{2}=\dfrac{4}{2}=2\\\\\dfrac{-2+3}{2}=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%2B%28-1%29%7D%7B2%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D2%5C%5C%5C%5C%5Cdfrac%7B-2%2B3%7D%7B2%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer: ![T\left(2,\ \dfrac{1}{2}\right)](https://tex.z-dn.net/?f=T%5Cleft%282%2C%5C%20%5Cdfrac%7B1%7D%7B2%7D%5Cright%29)