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kondor19780726 [428]
2 years ago
7

How many solutions does this system of equations have y=2x y=x^2+2

Mathematics
1 answer:
finlep [7]2 years ago
5 0

The resulting equation has a leading degree of 2, hence the system of equation will have 2 solutions

<h3>Quadratic equations</h3>

Quadratic equations are equations that has a leading degree of 2. Given the following system of equations

y=2x

y=x^2+2

Equate to have:

2x = x^2+ 2

Equate to zero

x^2 - 2x +2 = 0

Since the resulting equation has a leading degree of 2, hence the system of equation will have 2 solutions

Learn more on system of equations here: brainly.com/question/14323743

#SPJ1

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Ursula sold 47 copies her new app for $26 each. How much money did Ursula make? Use the numbers below to fill in the area model.
bagirrra123 [75]
She made Atleast 1222 dollars for all of her apps sold
4 0
3 years ago
Laura's job is 4 1/2 miles away. If she starts walking to her job at 9:00 a.m. and is scheduled to start working at 11:00 a.m.,
irina [24]

Answer:

<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Distance from Laura's home to her job = 4 1/2 miles

Time when Laura starts to walk to her job : 9:00 a.m.

Time when Laura is scheduled to start working : 11:00 a.m.

2.  Will she arrive at her job on time?

Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)

Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job

Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4

Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.

<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>

7 0
3 years ago
Find the value of x..
uranmaximum [27]

Answer:

a) 12

b) 4

Step-by-step explanation:

:)

7 0
2 years ago
What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m
Shtirlitz [24]

Answer:

60.6528 kg

Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776

Therefore, the volume of the solid ball is 0.007776 m³

Since we know that density is mass/volume, then we can find the mass of the iron:

\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg

Thus, the mass of the solid ball of iron is 60.6528 kg

8 0
2 years ago
18. What is the y-intercept of the line that passes<br> through the points (1, 1) and (5, 13)?
TEA [102]

Answer:

-2

(The coordinate point is (0,-2))

Step-by-step explanation:

First, make an equation of the line.

Start off with finding the slope:

Slope = (13-1)/(5-1) = 12/4 = 3

Then solve for the y-intercept though substitution and simplification:

y=mx+b --> 1=3(1)+b --> 1=3+b --> b= -2

So the answer is -2.

4 0
3 years ago
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