Answer:
(D)y ≤ 3x − 1 y ≥ −x + 4
Step-by-step explanation:
The line f(x) is solid and goes through the points (0, 4) and (4, 0) and is shaded above the line.
The line that satisfies the point (0,4) and (4,0) is y=-x+4
Since it is shaded above the line, we have the inequality sign ≥.
Therefore, one of the lines is y≥-x+4
In the equation of the line y=3x-1
When x=0, y=3(0)-1=-1
When x=2, y=3(2)-1=5
Since it is shaded below the line, we have the inequality sign ≤ .
Therefore, the other line is y≤3x-1.
The correct option is D.
The number Kevin read was 207,048 in standard form.
13. a) Since AC and AB are tangents to the circle, we know that two tangents that meet at an external point are equal.
Hence, AB = AC; so, AB = 40 ft.
13. b) (20 + r)² = 40² + r²
400 + 40r + r² = 1600 + r²
40r = 1200
r = 30
Hence, the diameter is 60 ft.
Answer:
New CP = Rs 387.5
Step-by-step explanation:
Cost Price = Rs. 500
Loss %age = 10% of 500
So, Loss = Rs 50
<u><em>Finding the selling price:</em></u>
Selling Price = CP - Loss
SP = 500 - 50
SP = Rs 450
Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:
<u><em>Firstly, Let's talk about the Profit :</em></u>
Profit %age = 12.5% of 500
Profit = 12.5 * 5
Profit = Rs 62.5
He wants to gain a profit of Rs 62.5
<u><em>So, The cost Price</em></u>
The cost price would be reduced by Rs 62.5
New CP = 450 - 62.5
New CP = Rs 387.5
