All categories

3 years ago

Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer:

(1,4)

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3

a. (1,4) b. (-1,-4) c. both d. neither

Solution

y=7x-3

Solve by trying each ordered pair

a. (1,4)

x=1, y=4

Substituting the value of x and y into the equation

y=7x-3

4=7(1)-3

4=7-3

4=4

This is a true statement

b. (-1,-4)

x=-1, y=-4

Substitute the value into the equation

y=7x-3

-4=7(-1)-3

-4= -7-3

-4= -11

This is not a true statement

This true statement is when x=1 and y=4

So, the ordered pair (1, 4) is the solution

You might be interested in

The temperature dropped 8 degrees between 6:00 P.M. and midnight. The temperature at midnight was 26 F. Write and solve an equat

irga5000 [103]

Answer:

x = 34

Step-by-step explanation:

-8 = dropped 8 degrees

26 = 26 degrees at midnight

x = temperature at 6

x - 8 = 26

(add 8 to both sides) x = 34

7 0

3 years ago

The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Artemon [7]

Answer:

P(X $\geq$ 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N( $\mu=73,\sigma^{2}=3^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 73

$\sigma$ = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X $\geq$ 74)

P(X $\geq$ 74) = P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{74-73}{3}$ ) = P(Z $\geq$ 0.33) = 1 - P(Z < 0.33)

= 1 - 0.62930 = 0.3707

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0

3 years ago

maya has 15 stickers . she places them on a page in rows of 5 . there are 2 flowers and 3 hearts in each row . how many hearts a

MrMuchimi

There are 15 hearts because 5*3 is 15

7 0

3 years ago

Read 2 more answers

2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi

Ostrovityanka [42]

Answer:

$y=5^{x}\\y=5^{7}=78125$

Step-by-step explanation:

$y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125$

4 0

3 years ago

The diagram shows a trapezium.<br>Work out the area of the trapezium.<br>

pantera1 [17]

Answer:

32cm^2

Step-by-step explanation:

the formula for the area of a trapezois is S=(10+6)/2*4=32

5 0

3 years ago