Answer: 3600 grams
Step-by-step explanation:
A dekagram means 10 grams.
1 kilogram = 1000 grams
Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:
= (1.8 × 1000) + (315 × 10)
= 1800 + 3150
= 4950 grams
Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:
= 4950 - 1350
= 3600 grams
y = x³ + 3x² - x - 3
0 = x³ + 3x² - x - 3
0 = x²(x) + x²(3) - 1(x) - 1(3)
0 = x²(x + 3) - 1(x + 3)
0 = (x² - 1)(x + 3)
0 = (x² + x - x - 1)(x + 3)
0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
0 = (x(x + 1) - 1(x + 1))(x + 3)
0 = (x - 1)(x + 1)(x + 3)
0 = x - 1 or 0 = x + 1 or 0 = x + 3
+ 1 + 1 - 1 - 1 - 3 - 3
1 = x or -1 = x or -3 = x
Solution Set: {-3, -1, 1}
Answer:
Step-by-step explanation
The length of the left sloping line
= √ (5^2 + 7^2) = √74.
The right sloping line
= √(5^2 + 5^2) = √50.
So the perimeter:
= √74 + √50 + 2 + 2 * 4 + 14
= 39.67 to nearest hundreth.
Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14
= 96.
Answer:
4y = x - 17
Step-by-step explanation:
First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = 
+ 
which make the gradient, m, the coefficient of x = 
. Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)
Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)
y - 3 = 
(x - 5); y - 3 = 
- 
; y = - +3
y = - 
; y = 
; 4y = x - 17
