The second term of a geometric progression is 5 and the fourth term is 31.25. Find the

Sylvie finds the solution to the system of equations by graphing.

Softa [21]

Answer:

The correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

Step-by-step explanation:

We are given the system of equations as:

$1.\ y=-\dfrac{2}{3}x-1\\2.\ y=\dfrac{2}{3}x+1\\$

We have 2 equations here with variables x and y so we use coordinate grid with 2 lines having axis as x and y.

As per the given options, we can see that coordinate of one point has y = 0 and other point has x = 0.

So, let us put y = 0 and x =0, in both the equations one by one and have a look at the value of x coordinate.

y = 0, Equation (1) becomes:

$0=-\dfrac{2}{3}x-1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5$

So, one coordinate is (-1.5, 0)

x = 0, Equation (1) becomes:

$y=-\dfrac{2}{3}\times 0-1\\\Rightarrow y =-1$

So, other coordinate is (0, -1)

And the point (3, -3) also satisfies the given equation.

y = 0, Equation (2) becomes:

$0=\dfrac{2}{3}x+1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5$

So, one coordinate is (-1.5, 0)

x = 0, Equation (2) becomes:

$y=\dfrac{2}{3}\times 0+1\\\Rightarrow y =1$

So, other coordinate is (0, 1)

And the point (3, 3) also satisfies the given equation.

Please refer to the attached graph and points on lines.

So, correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

3 0

3 years ago

Read 2 more answers

Mary had a lemonade stand. In one day she sold 65 glasses of lemonade.

algol13

Answer:

9.75 - the second one

Step-by-step explanation:

65 × 150 = 9750

to convert from ml to l you divide by 1000

9750 ÷ 1000 = 9.75

7 0

3 years ago

Read 2 more answers

Indentify the measure of angle 2. ( write the number only.)

zaharov [31]

Answer:

72°

Step-by-step explanation:

here's your solution

=> we know angle A + angle S = 2

=> angle 2 = 30° + 42°

=> 72°

hope it helps

8 0

3 years ago

Which expression is equivalent to 64 2/3 PLS HELP

gogolik [260]

Answer:

194/3

Step-by-step explanation:

5 0

3 years ago

On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum

Ket [755]

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107 + _26 = 826

350 + _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157 + _26 = 826

400 + _26 = 826

_26 = 826 - 400

_26 = 426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two covered digits are = 5 + 4 = 9

7 0

3 years ago