1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
3 years ago
10

In which quadrant(s) do the graphs of y = x^2 and y = 3x +10 intersect?

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

Step-by-step explanation:

y=3x+10

y=x²

x²-3x-10=0

x²-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x-2)=0

x=5,2

when x=5,y=5²=25

point of intersection is (5,25)

when x=2

y=2²=4

so point of intersection is (2,4)

which shows that they intersect in first quadrant.

You might be interested in
You are on the south side of a river and you need to cross the river in order to get to a campsite. Not
Doss [256]

Answer:

Width of river = 0.25 mile

As length of river is not given , but it is given that  campsite is located 1 mile east upstream, So length of river = 1 mile

Speed of mine in river while going upstream = 3 miles per hour

Speed of current as going Upstream = 1 miles per hour

Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream

                                              = 3 - 1

                                              = 2 miles per hour

1. There are two ways to reach campsite

(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.

Or

(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula = \sqrt{(altitude)^2 + (Base)^2

=\sqrt{.25^2+1^2}

=√1.0625

=1.03078(approx)

⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]



7 0
3 years ago
A third-grade class has 12 girls and 13 boys. A fourth-grade class has 10 boys and 11 girls. When picking teams for PE, one capt
Nuetrik [128]
Probability that the first captain's first pick is a girl = 11/21
Probability that the first captain's second pick is a girl = 12/25

<span>the probability that the first captain will pick two girls before picking any boys = 11/21 x 12/25 = 132/525 = 44/175</span>

5 0
3 years ago
Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate wins when the spinner lands on
anastassius [24]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
What is 6.302 rounded to the nearest tenth?
solmaris [256]

Answer:

6.3

Step-by-step explanation:

\huge \: 6.302 \approx \: 6.3

5 0
4 years ago
Read 2 more answers
The elevator in an office building is controlled by a program that uses negative numbers to
Karo-lina-s [1.5K]

Answer: -5,-5,+5,+5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 128 hundredths written as a decimal?
    15·1 answer
  • Units. Find the other
    11·1 answer
  • The image shown has two triangles sharing a vertex: There are two triangles labeled HJK and MLK with a common vertex K. In trian
    5·1 answer
  • the side length ofthe square porch behind macis house is (3x + 2) feet. The porch has a perimeter of (14x - 2) feet. What are th
    13·1 answer
  • In triangle ABC, the measure of angle B is 44 degrees more than three times the measure of angle A. The measure of angle C is 61
    9·1 answer
  • What is the solution to the following equation?
    11·1 answer
  • 6x + 3y + z = 21<br> y = 7x + 8z - 29<br> -6y - 8z = 6
    5·2 answers
  • What is the approximate surface area of a cylinder that's base has a radius of 2, and it's lateral rectangle has a length of 6.2
    9·1 answer
  • Approximate 5.7255 to the nearest thousand
    7·1 answer
  • Does someone know this answer? Estimate the quotient by rounding the expression 432 ÷ 73 ≈ _____
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!