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4 years ago

What is the solution to the system of equations ? y=5x+2 3x=-y+10

Mathematics

1 answer:

Doss [256]4 years ago

5 0

Answer:

Solution is (1,7).

Step-by-step explanation:

We need to find the solution of the system of following equations.

y= 5x + 2 eq(1)

3x = -y +10 eq(2)

We will solve the equations using Substitution method to find the values of x and y

we put value of y from eq (1) into eq (2), The eq(2) will be:

3x = - (5x + 2) + 10

3x = -5x -2 +10

3x+5x = -2+10

8x = 8

x= 1

Now, putting value of z in eq(1) to find value of y

y = 5x +2

y = 5(1) + 2

y = 5+2

y = 7

So, Solution is (1,7).

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When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he wa

DedPeter [7]

Solution :

The formula for the linearization of a function $f(x)$ at a point $x$ = a is given as

$L(x)=f(a)+(x-a)f'(a)$

Assuming the time is t and the distance travelled is $f(t)$ , that makes the speed as $f'(t)$ .

So substituting them in the linearization formula,

A. At t = 7 minutes

f(7) = 2.5 km

f'(7) = 0.5 kpm

∴ $L_7(t)=f(7)+(t-7)f'(7)$

$=2.5+(t-7)0.5$

$=2.5+0.5t-3.5$

$=0.5t-1$

B. At t = 18 minutes

f(18) = 14.8 km

f'(18) = 0.8 kpm

∴ $L_{18}(t)=f(18)+(t-18)f'(18)$

$=14.8+(t-18)0.8$

$=14.8+0.8t-14.4$

$=0.8t-0.4$

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

$L_7(14)=0.5(14)-1.0$

= 7 - 1

= 6 km

$L_{18}(14)=0.8(14)+0.4$

= 11.2 + 0.4

= 11.6 km

D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km

= 3.5 km

And between the 14 minutes and 18 minutes is = 14.8 km - 6 km

= 8.8 km

This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.

Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km

= 9.1 km

And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

= 3.2 km

This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.

4 0

3 years ago

HELP QUICKLY PLEASE!!!

storchak [24]

9,11,13,20

20 -9 = 11

Range: 11 so its not 17

11 + 13 = 24

24/2 = 12

Median: 12 so its not 10

9+ 11 + 13 + 20 = 53

53/4= 13.25

Mean: 13.25 so its not 12

IQR: 6.5 so its not 7 or 12

4 0

3 years ago

if Scott wood makes 91% of all his free throws then what is the probability that he will make all of his next 6 attempts

nadya68 [22]

Well, it seems tome that if he makes 91% of all his free throws, then every time
he steps up to the line, there's a 91% chance that he'll make THAT throw.

Now the basketball has no memory, so the probability is the same for each
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91% of the probability of succeeding on the first one, and so on and so forth.

So the probability of 6 consecutive baskets is (91%) x (91%) x ... etc, 6 times.

That's just (0.91)⁶ = <em>56.787 percent</em>.

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Answer:

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Please Mark Brain list answer

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