Answer: option A. 25.
Explanation:
1) f [g (1) ] ⇒ find the image of g(1) and use it as the input for f(x).
2) g(x) = 5 => g(1) = 5
3) f (g (1) ) = f (5) = (5)² = 25
That is the answer: f [ g(1) ] = 25.
Answer:
The solution is ( 1/2 , 5)
Step-by-step explanation:
∵ 8x + 7y = 39 ⇒ (1)
∵ 4x - 14y = -68 ⇒ (2)
Multiply (1) by 2
16x + 14y = 78 ⇒ (3)
Add (2) and (3)
∴ 20x = 10 ⇒ x = 10 ÷ 20 = 1/2
∴ x = 1/2
By substitute in (1)
8(1/2) + 7y = 39 ⇒ 7y = 39 - 4 = 35 ⇒ y = 35 ÷ 7 = 5
∴ y = 5
∴ The solution is ( 1/2 , 5)
To check:
8(1/2) + 7(5) = 4 + 35 = 39 = R.H.S
4(1/2) - 14(5) = 2 - 70 = -68 = R.H.S
Answer:
25 more than a number m
Step-by-step explanation:
Let's evaluate each of the given options:
A. The difference of 25 and m.
This phrase can be represented by 25 - m, therefore the option is incorrect.
B. 25 less than a number m.
This phrase can be represented by m-25, therefore the option is incorrect.
C. 25 more than a number m.
This phrase can be represented by m+25, therefore the option is correct.
D. The quotiend of a number m and 25
This phrase can be represented by m/25, therefore the option is incorrect.
Step 1: Simplify both sides of the equation.
0.4(12−3x)=0.3(12x−16)
(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)
4.8+−1.2x=3.6x+−4.8
−1.2x+4.8=3.6x−4.8
Step 2: Subtract 3.6x from both sides.
−1.2x+4.8−3.6x=3.6x−4.8−3.6x
−4.8x+4.8=−4.8
Step 3: Subtract 4.8 from both sides.
−4.8x+4.8−4.8=−4.8−4.8
−4.8x=−9.6
Step 4: Divide both sides by -4.8.
−4.8x
/−4.8 = −9.6
/−4.8
x = 2
The plants will each get 1 1/15 cups of water
