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
jenyasd209 [6]
3 years ago
7

3. What are the intersection points of the line whose equation is y=3x +3 and the

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

(-2 , -3) and (0.6 , 4.8)

Step-by-step explanation:

y=3x +3

(x - 2)² + y² = 25

(x - 2)² + (3x +3)² = 25

x²-4x+4+9x²+18x+9-25=0

10x²+14x-12=0

5x²+7x-6=0

(x+2)(5x-3)=0

x = -2 or x = 3/5  (-0.6)

y = -3 or y = 4 4/5  (4.8)

You might be interested in
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
Which number has the same value as 28 tens? 28 or 280
KIM [24]
28 because we are talking about TENS meaning there can only be 2 digits
3 0
3 years ago
I need some help please
sveticcg [70]

Answer:

Acute Triangle

Step-by-step explanation:

All angles are less than 90 degrees.

6 0
2 years ago
Please someone help!! I tried my best to complete this problem but i'm stuck now (also am i even doing it right so far??!);(
Alik [6]

Answer and Step-by-step explanation:

You got everything correct so far except for #4.

4. Yes, it is 1. But it would be in months.

So you would put:

1 month = x

12 months = 1 year.

Since the population increases by 1.5 times a <em>month.</em>

For question number 3.

The equation should be:

f(x) = 100(1.5)^x <- Function

f(x) = 100(1.5)^{12} <- Function when x is 12 months (1 year)

(Put those both the same way I put it.)

It gives you the equation to work with, you just have to plug in the values.

1.5 is in the parenthesis because it needs to be the one that is raised by an exponent.

100 is the initial population, so it stays on the outside.

x is the exponent

7 0
3 years ago
How many gallons of a 20% acid solution should be mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solut
Alexeev081 [22]

Answer:

30 gallons of 20% acid solution should be mixed.

Step-by-step explanation:

Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.

Therefore, final volume of the solution will be (x + 30) gallons.

Now concept to solve this question is

20%.(x) + 40%.(30) = 30%.(x + 30)

0.20(x) + 0.40(30) = 0.30(x + 30)

0.20x + 12 = 0.30x + 9

0.30x - 0.20x = 12 - 9

.10x = 3

x = \frac{3}{0.1}

x = 30 gallons

Therefore, 30 gallons of the 20% acid solution should be mixed.

4 0
3 years ago
Other questions:
  • What is the area of the figure below?
    10·2 answers
  • If the population declined 21% down to 15,049, what was the population last year?
    7·1 answer
  • PLZ HELP ME Plz THE BEST THE BRAINLIEST AND GENIUS IN MY EYE SO PLZZZZ
    14·1 answer
  • Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
    9·2 answers
  • Clarissa needs a $2,500 loan in order to buy a car. How much interest would she owe if she took out a 24 - month loan with a 4.2
    8·1 answer
  • What is 34 percent of 57
    15·1 answer
  • For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 1:4. Which of the following best describes the amo
    10·1 answer
  • An angle is 4 times as great as it's supplement. Find the measure of the supplement of the angle
    10·1 answer
  • I need help with both 9 and 10
    5·1 answer
  • Tìm tuần hoàn y = cos2x , y = sin2x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!