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3 years ago

What is the solution to the system of equations shown in the graph?

Mathematics

2 answers:

Katen [24]3 years ago

8 0

The solution is where both lines intersect. First find the x-coordinate which we will find by going to the left two units. That means x = -2. Now going up one unit, which gives us y = 1

(-2, 1)

Sveta_85 [38]3 years ago

5 0

A because it can't cross through the lines like that with oout bring

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In a family, each brother has as many sisters as broth, but

irina [24]

Answer: 4 brothers and 3 sisters for a total of 7 siblings

Step-by-step explanation:

Let No. of boys = x

Let No. of girls = y

Each boy has as many brothers as sisters

Hence, (x - 1) = y

Rearranging we get,

x - y = 1 ……….(1)

Now, each girl has twice as many brothers as that of sisters

Hence, 2 * (y - 1) = x

Solving the bracket we get, 2y - 2 = x

Rearranging we get,

-x + 2y = 2 ……….(2)

Adding (1) and (2) using the elimination method, we get

x - y = 1

-x + 2y = 2

y = 3

Substituting value of Y in equation (1),

x - 3 = 1

Solving this we get,

x = 4

Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7

8 0

2 years ago

5. TEMPERATURES The table shows the low temperatures in degrees Fahrenheit for the past week

lorasvet [3.4K]

Daniela made her error on step 3 because it says:

"Find the ratio of the differences of the means compared to the mean absolute deviation.

She didn't find the difference between the today and last week means. She just put the mean as a whole.

6 0

3 years ago

In a direct variation, y = 14 when x = 2. Write a direct variation equation that shows the relationship between x and y.

Luden [163]

Answer:

24.3 y

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The volume of a cylinder is 400x cm. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder

irina1246 [14]

Answer: 8cm

Step-by-step explanation:

$V=\pi r^2h$

Solve for h;

$h=\frac{V}{\pi r^2}$

$h=\frac{400cm^3}{(3.14)(4cm)^2}$

$h=7.96\\h=8$

3 0

3 years ago

Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th

koban [17]

Answer:

a. Present value of a lump sum =

PV = FV / ( 1 + i )ⁿ

b. Present value of an annuity =

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)

Step-by-step explanation:

a. Present Value of a Lump sum =

PV = FV / ( 1 + i )ⁿ

Where variables in the formula are explained as follows

PV = Present Value of the given amount today

FV = Future Value of the given amount

i = Discount rate

n = Number of periods

b. Present value of an annuity is given as:

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)

The variables in the equation are explained as the follows:

P = the present value of annuity

PMT = Payment per period or the amount in each annuity payment

r = the interest or discount rate

n = total number of periods or the number of payments left to receive

8 0

3 years ago