Answer: see work below
Step-by-step explanation:
1) 3(2f + 4)
distribute the 3
= 6f + 12
2) 3(4t + 2)
distribute the 3
= 12t + 6
3) 7(6k -2v)
distribute the 7
= 42k - 14v
4) 5(2q - 9)
distribute the 5
= 10q - 45
(im not sure what the red mark is. if it's a negative than my answer would be opposite: -10q + 45)
5) 3(2e + 5t)
distribute the 3
= 6e + 15t
(im not sure what the red mark is. if it's a negative my answer would be opposite: -6e -15t)
6) 4(3r - 5)
distribute the 4
= 12r - 20
Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
------------------------------------------------------
Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - 
2x - 9 = 0 ⇒ 2x = 9 ⇒ x =
Simplify both sides of the equation.
<span><span>25−n</span>=32
</span><span>Simplify:
</span><span><span><span>−n</span>+25</span>=32
</span>Subtract 25 from both sides.
<span><span><span><span>−n</span>+25</span>−25</span>=<span>32−25
</span></span><span><span>−n</span>=7
</span>Divide both sides by -1.
<span><span><span>−n/</span><span>−1 </span></span>= <span>7/<span>−1
</span></span></span><span>n=<span>−7
</span></span>Ans:
<span>n = <span>−7</span></span><span>
</span>
The answer is 45 when you substitute all the variables in
