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3 years ago

Find the hcf by using long division method (219,1321,2320,8526)

Mathematics

1 answer:

Shtirlitz [24]3 years ago

7 0

Step-by-step explanation:

I have attached the working

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=−2x^2 +8 +3<br> write in vertex form

Oxana [17]

Answer:

$y=-(x+0)^2+11$

8 0

3 years ago

Peter tracks the goals he scores in 9 soccer games. In two games Peter scored 2 goals each, in one game he scored 0 goals, in tw

Reika [66]

The average number of goals per game Peter scores, rounded to one decimal place is 1.6

<u><em>Explanation</em></u>

In first two games Peter scored 2 goals each. So, total score in two games = (2×2)= 4

In one game he scored 0 goal and in next two games he scored 3 goals each, so the total is (3×2)= 6

In the last four games he scored 1 goal in each, so the total is (1×4)= 4

So, the total score in all $9$ games $=4+0+6+4=14$

Thus, the average number of goals $= \frac{14}{9}= 1.5555....$

So, the average number of goals per game Peter scores, rounded to one decimal place is 1.6

3 0

3 years ago

Read 2 more answers

What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The

RSB [31]

<h3>Answer: 19</h3>

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Explanation:

Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.

You can use subtraction to get

-7-12 = -19

12-(-7) = 12+7 = 19

The final result is made positive since negative distance does not make sense.

So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.

All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.

7 0

3 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago

About 7 of 10 U.S. households have TV remote controls. There were

julia-pushkina [17]

<span>Total households = 127,900,000 Proportion of households having remote control and not 7 : 3 7x + 3x = 127,900,000 10x = 127,900,000 x = 12,790,000 Households having remote control = 7x = 7 X 12,790,000 = 89,530,000 Answer: 89,530,000 households have TV remote controls.</span>

6 0

3 years ago