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julia-pushkina [17]
4 years ago
8

What is the domain of the graph

Mathematics
1 answer:
Murrr4er [49]4 years ago
7 0

All the input values shown on the x-axis

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A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
3 years ago
The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5
Montano1993 [528]

Answer:

The x-coordinate of the solution is x=3

Step-by-step explanation:

we have

y=-x+5 ------> equation A

y=x-1 ------> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

x-1=-x+5

x+x=5+1

2x=6

x=3

Find the value of y

y=x-1  ------> y=3-1=2

The solution of the system of equations is the point (3,2)

therefore

The x-coordinate of the solution is x=3

5 0
3 years ago
How many zeros in x^4 + 3x2 + 12
barxatty [35]

Answer:

We know that ,

Number of zeroes in a polynomial = degree of the polynomial

( degree of polynomial = the highest power in the polynomial )

therefore ,

\bold\blue{number \:of \:zeroes \:of\: the \:given} \\\bold\blue{polynomial\: = \:4}

hope helpful~

3 0
2 years ago
The perimeter of a rectangular field is 342 m. If the width of the field is 76 m, what is it’s length?
Klio2033 [76]

Answer:

The length is 95 m

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

342 = 2(l+76)

Divide each side by 2

342/2 = 2/2(l+76)

171= l+76

Subtract 76 from each side

171- 76 = l+76-76

95 = l

6 0
3 years ago
You are on a road trip and need to travel 300 km. The speed limit is 80 km/hr. How
notsponge [240]

Answer:

3 3/4 or 3.75 hours.

Step-by-step explanation:

If you need to travel 300 km, assuming you are going at the speed limit, you take the total amount and divide it by that.

300 / 80 = 3.75 hours

3 0
3 years ago
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