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3 years ago

14

Which is the best estimate of the solution to this system of equations ?

2 answers:

mafiozo [28]3 years ago

7 0

Answer:

A. Close to (4,2)

Step-by-step explanation:

When solving a system of equations by setting them equal to one another, the resulting co-ordinates models the coordinates at which the lines intersect. In this case, from the graph, it looks like the lines cross at about 4 on the x-scale, and about 2 on the y-scale.

Ket [755]3 years ago

6 0

The answer is (4,2). The solution to a system of equations is when there is an intersection.

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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

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3 years ago

if angle A and angle B are supplementary, and angle A and angle C are supplementary. What conclusion is valid

Iteru [2.4K]

Answer:

Angle B and C are congruent.

6 0

3 years ago

Identify the expression equivalent to 4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16)

Alex

Answer:

4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16) D. 3x + 16

Step-by-step explanation:

4 0

2 years ago

I need help now it's an emergency please help me with this

marshall27 [118]

Answer:

Population of the 48th generation will be 4469.

Step-by-step explanation:

Recursive formula by which the population is increasing,

$L_{n+1}=L_n+95$

L₀ = 4

Common difference 'd' = 95

Recursive formula represents a linear growth in the population.

Therefore, explicit formula for the given sequence will be,

$L_n$ = L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]

Here n = Number of terms

L₄₈ = L₀ + (48 - 1)(95)

= 4 + 4465

= 4469

Therefore, population of the 48th generation will be 4469.

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3 years ago

Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ....

Alekssandra [29.7K]

Answer:

<u>b(n) = -11 + (n-1)*8</u>

<u></u>

Step-by-step explanation:

Let n be the sequence number, with n=1 the first number b(1) -11

The sequence changes by +8 each step.

<u><em>b(1)</em></u><em> -11</em> + 8 = -3

<u><em>b(2)</em></u><em> -3</em> + 8 = 5

<u><em>b(3)</em></u> <em> 5 </em> + 8 = 13

<u><em>b(4)</em></u><em> </em> <em>13</em>

b(1) = -11

b(2) = -3. or b(1) + 1*8

b(3) = 5, or b(1) + 2*8

b(4) = 13, or b(1) + 3*8

We note that each step adds a multiple of 8 to the initial value of -11. This can be stated as (n-1)*8

The formula for this sequence would be b(n) = b(1) + (n-1)*8

<u>b(n) = -11 + (n-1)*8</u>

Check: Does n=3 return the value of 5?

b(n) = -11 + (n-1)*8

b(3) = -11 + ((3)-1)*8

b(3) = -11 + (2)*8

b(3) = -11 + 16

b(3) = 5 <u><em>YES</em></u>

5 0

2 years ago