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
Sedbober [7]
2 years ago
9

PKEASE HELP Based on the graph, what is one solution of the equation f(x) = g(x)? graph of function f of x equals negative x plu

s one half and graph of function g of x equals x squared plus 3 multiplied by x minus 4 x = 1 x = −5 x = −4 x = −0.5
Mathematics
1 answer:
Oksanka [162]2 years ago
8 0

Answer:

x=1

x=-5

Step-by-step explanation:

we know that

The solution of the system of equations is the intersection point both graphs

In this problem there are two intersection points

so

The system has two solutions

we have

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

Step-by-step explanation:

You might be interested in
Evaluate the expression 14C2
lisabon 2012 [21]
\bf _nC_r= \cfrac{n!}{r!(n-r)!}\qquad \qquad _{14}C_2=\cfrac{14!}{2!(14-2)!}
5 0
3 years ago
Nick was playing a game with his friends. In the game, he received points for correct answers and lost points for incorrect answ
HACTEHA [7]

Answer:

-7

Step-by-step explanation:

because 15-22= -7

he started at 0, gained 15 points but then lost 22, so after the two problems he'd have a score of -7.

3 0
2 years ago
-3x+3y=12
max2010maxim [7]

Answer:

C

Step-by-step explanation:

  1. Reform the first graph: -3x + 3y = 12; 3y = 12 + 3x; y = 4 + x; y = x + 4
  2. Compare y = x + 4 and y = x + 4: they are equal, thus the same slope (1) and the same y-intercept (4)

7 0
2 years ago
If f(x)=x^2 then evaluate (2+3i)
Virty [35]

Answer:

-5 + 12 i

Step-by-step explanation:

(2 + 3i)^2   = 4  + 6i  + 6i  + 9i^2

                 =   4   + 12 i   + 9(-1)

                     = - 5 + 12 i

3 0
1 year ago
A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr
ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so \pi = 0.30

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so n = 10

We want to find P(X = 1). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is P(X > 1)

We have that:

P(X \leq 1) + P(X > 1) = 1

P(X > 1) = 1 - P(X \leq 1)

We also have that:

P(X \leq 1) = P(X = 0) + P(X = 1)

P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282

So

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493

Finally

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507

There is a 85.07% probability that more than 1 has the marker.

3 0
3 years ago
Other questions:
  • I NEED HELP PEOPLE!!!! WILL GIVE BRAINLIEST!!!!
    11·1 answer
  • If f(x)=x-3, g(x)=x^2+1 and h(x) = -4x+1 , find f(g(2))?
    7·1 answer
  • State how many tens there are in 5463 than in 3746?
    13·2 answers
  • Simplify 2/5 - 1/6 simplify each of the following questions
    6·1 answer
  • Can someone please help me with this question?!
    6·1 answer
  • Which expression correctly represents "eight times the difference of four and a number"?
    10·1 answer
  • Juan had his car washed at the speedy clean car wash. He paid $20 for a car wash. He gave a 15% tip to the attendant who washed
    13·1 answer
  • 2x - 3y = 12<br><br> 4x + 3y = 24<br><br> x = y =
    5·2 answers
  • Uh Expanded form pls? 4.02 x 10^5
    14·2 answers
  • The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!