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likoan [24]
3 years ago
9

Indicate whether (4, 8) is a solution of the given system.

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0
B - No, (4, 8) is not a solution of this provided system of equation.

Reason is quite simple. The following equation is out of the boundaries or "unbounded".

To find out whether this given equation is intended to be in the boundary of those solutions for x = 4 and y = 8. We have to substitute the values of variables of "x" and "y" into the two provided system of equations.

So, just substitute the values of those respective variables to check if it is true or not or whether in the standard given set solution of x, y.

\mathbf{y \leq 4x}

\mathbf{8 \leq 4 \times 4}

\mathbf{8 \nleq 16}

Similarly for our second equation in this system for the provided solution (4, 8).

\mathbf{y \leq x + 3}

\mathbf{8 \leq 4 + 3}

\mathbf{8 \nleq 7}

Therefore, the second statement (B) Satisfies the criteria for this solution set of this system of equations.

Hope it helps.
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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Papessa [141]
5/11 = 18/y
5 y = 18 · 11
5 y = 198
y = 198 : 5 
y = 39.6
3 0
3 years ago
3. NASA launched the Voyager spacecraft with a mission to observe Jupiter and Saturn. In 1990,
makkiz [27]

The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:

m = 33/10 = 3.3.

Hence:

y = 3.3x + b.

When x = 28, y = 123, hence we use it to find b as follows:

123 = 3.3(28) + b

b = 30.6.

Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
1 year ago
Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3
r-ruslan [8.4K]

Answer:

23

Steps ig

((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23

5 0
3 years ago
Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. wha
Liula [17]

Answer:

The price of each CD before tax is $15.70

Step-by-step explanation:

Given that:

Number of CDs bought by Reuben = 5

Cost of five CDs = $81.50

Sales tax on each CD = $0.60

Sales tax on 5 CDs = 0.60*5 = $3.00

Price of CDs without tax = 81.50 - 3.00 = $78.50

Price of each CD = \frac{Cost\ of\ CDs}{No.\ of\ CDs}

Price of each CD = \frac{78.50}{5}

Price of each CD = $15.70

Hence,

The price of each CD before sales tax is $15.70

7 0
2 years ago
Can anyone please help me with this???
ira [324]

Answer:

x=8a

Step-by-step explanation:

(3/a) x - 4 = 20

add 4 to both sides

(3/a) x = 24

Divide by 3/a

x = 24 / (3/a)

Use KCF (keep change flip)

x = (24/1) x (a/3)

x = 24a / 3

simplify

x = 8a

3 0
3 years ago
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