![\huge \boxed{\mathfrak{Question} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BQuestion%7D%20%5Cdownarrow%7D)
- f (x) = 3x² + x
- Find f (-5).
![\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%20%5C%3A%20with%20%5C%3A%20Explanation%7D%20%5Cdownarrow%7D)
Given,
Now, we have to find f (-5). To find this, we just need to substitute -5 in the place of x.
So,
![\sf \: f(x) = {3x}^{2} + x \\ \\ \sf \: \: Substitute \: x \: as \: - 5. \\ \\ \sf \:f( - 5) = 3( - 5) ^{2} + ( - 5) \\ \\ \sf \:Calculate \: -5 \: to \: the \: power \: of \: 2 \: and \: get \: 25. \\ \\\sf \: 3\times 25+5 \\ \\ \sf \:Multiply \: 3 \: and \: 25 \: to \: get \: 75. \\ \\\sf \: 75+5 \\ \\\sf \:Add \: 75 \: and \: 5 \: to \: get \: 80. \\ \\ = \boxed{\boxed{ \bf \: 80}}](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20f%28x%29%20%3D%20%20%7B3x%7D%5E%7B2%7D%20%20%2B%20x%20%5C%5C%20%20%5C%5C%20%5Csf%20%5C%3A%20%5C%3A%20Substitute%20%5C%3A%20x%20%5C%3A%20as%20%5C%3A%20%20-%205.%20%5C%5C%20%20%5C%5C%20%5Csf%20%5C%3Af%28%20-%205%29%20%3D%203%28%20-%205%29%20%5E%7B2%7D%20%20%2B%20%28%20-%205%29%20%5C%5C%20%5C%5C%20%20%5Csf%20%5C%3ACalculate%20%5C%3A%20%20-5%20%5C%3A%20%20to%20%5C%3A%20%20the%20%5C%3A%20%20power%20%20%5C%3A%20of%20%5C%3A%20%202%20%5C%3A%20%20and%20%5C%3A%20%20get%20%5C%3A%20%2025.%20%5C%5C%20%20%5C%5C%5Csf%20%5C%3A%203%5Ctimes%2025%2B5%20%20%5C%5C%20%20%5C%5C%20%5Csf%20%5C%3AMultiply%20%5C%3A%20%203%20%5C%3A%20%20and%20%5C%3A%20%2025%20%5C%3A%20%20to%20%5C%3A%20%20get%20%5C%3A%20%2075.%20%5C%5C%20%5C%5C%5Csf%20%5C%3A%20%2075%2B5%20%20%5C%5C%20%20%5C%5C%5Csf%20%5C%3AAdd%20%5C%3A%20%2075%20%5C%3A%20%20and%20%5C%3A%20%205%20%20%5C%3A%20to%20%20%5C%3A%20get%20%20%5C%3A%2080.%20%5C%5C%20%20%20%5C%5C%20%20%3D%20%20%20%5Cboxed%7B%5Cboxed%7B%20%5Cbf%20%5C%3A%2080%7D%7D)
Answer:
70 °
Step-by-step explanation:
We have that one side of the rhombus is equal to 4 cm and an angle of the rhombus is 110 degrees. We know that the adjacent sides of a rhombus are supplementary, which means that the sum of the angles must be 180 degrees.
We can assume that the other angle is x.
110 ° + x = 180 °
x = 180 ° -110 °
x = 70 °
The measure of the missing angle on the diagram will be 70 °.
Answer:
The coat is cheaper in London and it is 6.6 euros cheaper than in Dublin
Step-by-step explanation:
Given
Cost of coat in London = £60
Cost of coat in Dublin = €105.60
In order to find where the coat is cheaper, the price should be in same unit
It is also given that
£1 = €1.65
so,
Price of coat in Euro will be:
![P = 60 * 1.65 = 99](https://tex.z-dn.net/?f=P%20%3D%2060%20%2A%201.65%20%3D%2099)
So the price of coat in London is 99 Euros
Comparing both the prices we see that
Price in London < Price in Dublin
99 < 105.60
The difference in price is:
![=105.60-99= 6.6\ Euros](https://tex.z-dn.net/?f=%3D105.60-99%3D%206.6%5C%20Euros)
Hence,
The coat is cheaper in London and it is 6.6 euros cheaper than in Dublin