Answer:
5
Step-by-step explanation:
k(x)=5 says I'm 5 no matter the value of x...
So therefore
k(-4)=5
k(56)=5
k(66378)=5
k(whatever)=5
k(x) is constantly 5 for whatever input x.
Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
Solving (a): The constant of proportionality;
For an equation:
Where
k = constant of proportionality
By comparing: to
Hence, the constant of proportionality is 0.25
Solving (b): What information does gives.
It represents the unit rate.
<em>So, it means that 1 apple costs $0.25</em>
<em></em>
Solving (c): Number of apples for $3.
This means that 
Substitute 3 for c in
Make n the subject
Answer:
- 4
Step-by-step explanation:
The conjugate of - 2 + i is - 2 - i, thus
- 2 + i + (- 2) - i
= - 2 + i - 2 - i ← collect like terms
= - 4 ← in the form a + bi with b = 0
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4. So we are talking about 15 miles a day for 5 days each week. 15 * 5 is 75. That's 75 miles in one week. He continues doing this for 8 weeks. Now, all we have to do is multiply 75 by 8 to get the total amount of miles. 75 * 8 is 600. There. Noah bikes 600 miles in 8 weeks.
6. We are rounded to the nearest hundred. If the number behind the digit we are rounding is 5 or more, the number goes up. If it's 4 or less, the number goes down. 329,167 has 1 one in the hundreds place. 6 is in the tens place behind it. 6 is more than 5, so we round up. The number rounded to the nearest hundred is 329,200.
8. Okay. So 132 are sold in the summer and 5 times that amount is sold in the winter. The equation would be this: 132 * 5 = s. The variable s represents the snowboards. All you have to do is multiply the numbers. 132 * 5 is 660. There. The store sells 660 snowboards in the winter.
1/8 of 48 is 6, so Sarah cut 6 inches.
1/9 of 36 is 4, so Jane cut 4 inches.
6 is greater than 4, therefore, Sarah's piece is longer by 2 inches.
