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Virty [35]
3 years ago
8

Solve the system of linear equations below. Enter your solution as an ordered pair (x,y). Do not include spaces in your answer..

4x+y=19. y=3
Mathematics
2 answers:
Tanzania [10]3 years ago
7 0
To find the solution of the system of linear equations, substitute the value of y in the second equation to y of the first equation,
                                4x + 3 = 19
The value of x is 4. Thus, the solution is equal to (4,3)
kotykmax [81]3 years ago
5 0
Y=3
4x+y=19
4x+3=19
4x=19-3
4x=16
x=4

pair is 4,3
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John swam 40 minutes what fraction of one hour is this
Volgvan
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Find a number in the closed interval [1/2,3/2] such that the sum of the number and its reciprocal is
sattari [20]

Let's assume that number as x

so,

the sum of the number and its reciprocal is

S(x)=x+\frac{1}{x}

Firstly, we will find derivative

S'(x)=1-\frac{1}{x^2}

now, we can set it to 0

and then we can solve for x

S'(x)=1-\frac{1}{x^2}=0

x=-1,x=1

Since, only x=1 lies on [1/2,3/2]

so, we will consider only x=1

now, we can plug end values and x=1 into S

At x=1/2:

we can plug x=1/2

S(\frac{1}{2})=\frac{1}{2} +\frac{1}{\frac{1}{2}}

S(\frac{1}{2})=\frac{1}{2} +2

S(\frac{1}{2})=\frac{5}{2}

At x=1:

we can plug x=1

S(1)=1 +\frac{1}{1}

S(1)=1 +1

S(1)=2

At x=3/2:

we can plug x=3/2

S(\frac{3}{2})=\frac{3}{2} +\frac{1}{\frac{3}{2}}

S(\frac{3}{2})=\frac{3}{2} +\frac{2}{3}

S(\frac{3}{2})=\frac{13}{6}

(a)

Smallest value:

The smallest value among them

S(1)=2

So, a number is 1..........Answer

(b)

Largest value:

The largest value among them

S(\frac{1}{2})=\frac{5}{2}

So, a number is \frac{1}{2}........Answer

6 0
4 years ago
I need a quick help with this one. No file answer please.​
Vaselesa [24]

Answer/Step-by-step explanation:

Volume of a sphere = ⁴/3πr³

1. r = ½ of 14.4 = 7.2 in.

Volume = ⁴/3 × π × 7.2³ = 1563.46 ≈ 1563.5 in.³

2. r = 6 yd

Volume = ⁴/3 × π × 6³ = 904.78 ≈ 904.8 yd³

3. r = 8 mm

Volume = ⁴/3 × π × 8³ = 2144.66 ≈ 2144.7 mm³

4. r = ½ of 13.5 = 6.75 cm

Volume = ⁴/3 × π × 6.75³ = 1288.25 ≈ 1288.3 cm³

5. r = 4.7 in.

Volume = ⁴/3 × π × 4.7³ = 434.89 ≈ 434.9 in.³ (nearest tenth)

7 0
3 years ago
−7 + 3(8n − 8) = 8(7 + 3n) please show work
stepladder [879]

Answer:

Step 1: Simplify both sides of the equation.

−7+3(8n−8)=8(7+3n)

−7+(3)(8n)+(3)(−8)=(8)(7)+(8)(3n)(Distribute)

−7+24n+−24=56+24n

(24n)+(−7+−24)=24n+56(Combine Like Terms)

24n+−31=24n+56

24n−31=24n+56

Step 2: Subtract 24n from both sides.

24n−31−24n=24n+56−24n

−31=56

Step 3: Add 31 to both sides.

−31+31=56+31

0=87

Answer:

There are no solutions.

Step-by-step explanation:

3 0
3 years ago
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