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2 years ago

Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28

Mathematics

1 answer:

Murljashka [212]2 years ago

4 0

Answer:

180

Step-by-step explanation:

112+64

=112+64

=176

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Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

F(x) = -1/3 x + 7 determine the input that would give an output value of 2/3

-BARSIC- [3]

Ur output value is f(x).....so to do this problem u need to sub in 2/3 for f(x) and solve for the input value which is x

f(x) = -1/3x + 7
2/3 = -1/3x + 7 ...multiply everything by 3
2 = -x + 21
2 - 21 = - x
- 19 = -x
19 = x <== ur output

7 0

3 years ago

Read 2 more answers

75 students in a kindergarten. 40% of them can read. how many can read?

Paul [167]

Answer:

Step-by-step explanation:

75 times .40 = 30

8 0

2 years ago

Read 2 more answers

Can someone pleaseeee help and if you’re correct I’ll give u brainliest

liq [111]

Answer:

The answer is b

Step-by-step explanation:

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2 years ago

The train to Boston traveled at an average speed of 50 miles per hour for 5 hours. The train to Hartford traveled at an average

lawyer [7]

To find how many miles per hour you need to divide 50 by 5 to get the number of miles per hour and do the same thing to the 2nd step and to find the difference you need to subtract the numbers. Hope it helps!!!

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3 years ago