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3 years ago

Divide £480 in the ratio 7:9

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

£ 210 & £ 270

Step-by-step explanation:

Amount = £480

Ratio = 7 : 9

Total parts = 7+9 = 16

$\dfrac{7}{16}*480=7 * 30$ = £ 210

$\dfrac{9}{16}*480=9*30= 270$

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F(x)={5−1 if 1≤x<7, if 7≤x≤13. Evaluate the definite integral by interpreting it as signed area.

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Answer:

\int\limits^7_1 {f(x)} \, dx =24

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Step-by-step explanation:

From Exercise we have f(x)=5-1 , we get f(x)=4.

We calculate integral, if 1≤x<7, we get

\int\limits^7_1 {f(x)} \, dx =\int\limits^7_1 {4} \, dx =4[x]\limits^7_1=4(7-1)=4·6=24

We calculate integral, if 7≤x<13, we get

\int\limits^13_7 {f(x)} \, dx =\int\limits^13_7 {4} \, dx =4[x]\limits^13_7=

=4(13-7)=4·6=24

Therefore, we conclude that the given two integrals are the same.

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