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viva [34]
3 years ago
6

X2 - 15x + 56factor​

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 56) which sum to give the coefficient of the x- term (- 15)

The factors are - 7 and - 8, since

- 7 × - 8 = + 56 and - 7 - 8 = - 15, hence

x² - 15x + 56 = (x - 7)(x - 8)

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Let h(x) = e^(kx) + f(x),
Anestetic [448]
\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
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\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8
3 0
4 years ago
After a storm damages the community center, Shanika and her friends hold fundraising
Inessa [10]

Answer:

The total amount of money Shanika and her friends want to raise is <u>$2400</u>.

Step-by-step explanation:

Given:

After a storm damages the community center, Shanika and her friends hold fundraising.

After the first event, they raise $240, which is 10% of the  total amount that they want to raise.

Now, to find the total amount of money that Shanika and her friends want to raise.

Let the total amount of money that Shanika and her friends want to raise be x.

As given 10% of fundraise is $240.

So, according to question:

10\%\ of\ x=\$240.

\frac{10}{100}\times x=240

\frac{10x}{100}=240.

<em>Multiplying both sides by 100 we get:</em>

10x=24000.

<em>Dividing both sides by 10 we get:</em>

x=\$2400.

Therefore, the total amount of money Shanika and her friends want to raise is $2400.

3 0
3 years ago
Solve the equation <br> M-4=2m
NemiM [27]

Answer:

m=-4

m-4=2m

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-m=4 change the signs on both sides of the equation

m=-4

4 0
3 years ago
Solve 6y = 24 – 3x for y in terms of x.
olchik [2.2K]
6y = 24 -3x
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2 years ago
In Canada, households spent an average of $80.63 CDN monthly for high-speed broadband access.24 Assume that the standard deviati
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Answer:

Step-by-step explanation:

Assuming a normal distribution for the amount spent by Canadian households for high-speed broadband access, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = amount spent by the Canadian households.

u = mean amount spent monthly.

s = standard deviation

From the information given,

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s = $27.32 CDN

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3 0
3 years ago
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