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2 years ago

How many solutions does the nonlinear system of equations graphed below have?

Mathematics

2 answers:

sweet [91]2 years ago

8 0

Answer:

one

Step-by-step explanation:

Where the two functions intersect

MAXImum [283]2 years ago

4 0

Answer:

d) one

Step-by-step explanation:

We have been given the graph of curves and we have to find the solution of the system of equation.

In graphical method of solving system of equations, the intersection point (s) of the graph of the equation gives the solution to the system.

In the given figure, both graphs are intersecting at one point. Hence, from the above written concept we can conclude that the system of equation has one solution.

Therefore, d is the correct option.

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Arthur wrote that 15 – 14.7 = 3.

PilotLPTM [1.2K]

3 is incorrect because 14.7 + 3 = 17.7
The answer of 15 - 14.7 = 0.3

8 0

1 year ago

A bag of potato chips contain 0.96 grams of sodium. If the bag is split into 8 equal servings, how many grams of sodium will eac

givi [52]

Answer:

0,12 grams

Step-by-step explanation:

0,96:8=0,12

6 0

2 years ago

Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work

ivanzaharov [21]

Anita can clean 1/8 portion of the pool in 1 hour

Chao can clean 1/6 portion of the pool in 1 hour

Both of them working together can clean 1/8 + 1/6 = 7/24 portion of the pool in 1 hour

Therefore, it will take both of the working together 1/(7/24) = 24/7 or 3 3/7 hours to clean a typical pool.

3 0

2 years ago

Kennedy served 15 3 / 4 hours of volunteer service last month. She served 21 5 / 6 hours of volunteer service this month. How ma

Rasek [7]

73/12 or 6 1/12 hours more than before

5 0

2 years ago

Given: The coordinates of triangle PQR are P(0, 0), Q(2a, 0), and R(2b, 2c).

masha68 [24]

Answer:

The line containing the midpoints of two sides of a triangle is parallel to the third side ⇒ proved down

Step-by-step explanation:

* Lets revise the rules of the midpoint and the slope to prove the

problem

- The slope of a line whose endpoints are (x1 , y1) and (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid-point of a line whose endpoints are (x1 , y1) and (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

* Lets solve the problem

- PQR is a triangle of vertices P (0 , 0) , Q (2a , 0) , R (2b , 2c)

- Lets find the mid-poits of PQ called A

∵ Point P is (x1 , y1) and point Q is (x2 , y2)

∴ x1 = 0 , x2 = 2a and y1 = 0 , y2 = 0

∵ A is the mid-point of PQ

∴ $A=(\frac{0+2a}{2},\frac{0+0}{2})=(\frac{2a}{2},\frac{0}{2})=(a,0)$

- Lets find the mid-poits of PR which called B

∵ Point P is (x1 , y1) and point R is (x2 , y2)

∴ x1 = 0 , x2 = 2b and y1 = 0 , y2 = 2c

∵ B is the mid-point of PR

∴ $B=(\frac{0+2b}{2},\frac{0+2c}{2})=(\frac{2b}{2},\frac{2c}{2})=(b,c)$

- The parallel line have equal slopes, so lets find the slopes of AB and

QR to prove that they have same slopes then they are parallel

# Slope of AB

∵ Point A is (x1 , y1) and point B is (x2 , y2)

∵ Point A = (a , 0) and point B = (b , c)

∴ x1 = a , x2 = b and y1 = 0 and y2 = c

∴ The slope of AB is $m=\frac{c-0}{b-a}=\frac{c}{b-a}$

# Slope of QR

∵ Point Q is (x1 , y1) and point R is (x2 , y2)

∵ Point Q = (2a , 0) and point R = (2b , 2c)

∴ x1 = 2a , x2 = 2b and y1 = 0 and y2 = 2c

∴ The slope of AB is $m=\frac{2c-0}{2b-2a}=\frac{2c}{2(b-c)}=\frac{c}{b-a}$

∵ The slopes of AB and QR are equal

∴ AB // QR

∵ AB is the line containing the midpoints of PQ and PR of Δ PQR

∵ QR is the third side of the triangle

∴ The line containing the midpoints of two sides of a triangle is parallel

to the third side

6 0

2 years ago