Answer:
(-1,4) This is the solution for the given system
Step-by-step explanation:
The first graph is shown in the first picture attached, it has the points (3,0) and (0,3)
The other graph is attached as well
The solution for this system is the interception between the graph
I believe the answer is 8384 and to the power or 4in
Answer:
16ᵗʰ Term of the sequence is 1010
Step-by-step explanation:
7.)
Here,
First Term = a₁ = 5
Common Difference = d = 67
Now, For 16ᵗʰ term, n = 16
<em>aₙ = a + (n - 1)d</em>
a₁₆ = 5 + (16 - 1) 67
a₁₆ = 5 + 15 × 67
a₁₆ = 5 + 1005
a₁₆ = 1010
Thus, 16ᵗʰ Term of the sequence is 1010
<u>-TheUnknownScientist</u>
Answer:
Monday: 4 hours = $36
Tuesday: 6 hours = $54
Wednesday: 5 hours = $45
His earnings are proportional because, for each hour, Richard earns $9. Using the formula y = kx, k (the constant) is always the same:
- 36 = k × 4 (k = $9)
- 54 = k × 6 (k = $9)
- 45 = k × 5 (k = $9)
Hope this helps!
Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
