All categories

2 years ago

How many solutions does the system have?

Mathematics

1 answer:

serious [3.7K]2 years ago

8 0

The system has two solutions.

You can tell because the second equation is a quadratic and the first is a line, so the line passes through the quadratic twice.

You might be interested in

Im kinda confused on this. i need help.

RideAnS [48]

Given :-

A graph is given to us .

To Find :-

The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

$\sf\longrightarrow$ y intercept = 5 .

$\sf\longrightarrow$ slope = 5/2 .

Now here we can use the slope intercept form as ,

$\sf\longrightarrow$ y = mx + c

$\sf\longrightarrow$ y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

4 0

1 year ago

Read 2 more answers

A regular hexagon is dilated by a scale factor of 7/5 to create a new hexagon. How does the perimeter of the new hexagon compare

Airida [17]

It's the same ratio, 7/5.

3 0

3 years ago

Read 2 more answers

HOW DO I FIND THE SQUARE ROOT OF A NUMBER !?!?!?!?! TXT ME TOO

r-ruslan [8.4K]

Find out what number times it's self equals the number you need to find the square root of and that's the square root

5 0

2 years ago

Read 2 more answers

James runs laps around the park. The distance of a lap is d yards. On Monday, James runs 4 laps, Tuesday 3 laps, Thursday 5 laps

ra1l [238]

Answer:

d + 18

Step-by-step explanation:

6 0

2 years ago

Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge

sammy [17]

Answer:

$7.62 per hour

Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

$F=P(1+r)^t$

Where,

F is the future value (what we want to find)
P is the present rate ($6.5)
r is the rate of growth, in decimal (2% growth means 0.02)
t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

Now plugging in all the info, we get the value of F:

$F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62$

Thus, after 2 years, Heather's hourly rate will be $7.62

7 0

2 years ago