Solve each system by substitution Y=2x+7 3x-4y=-13

f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? exp

zvonat [6]

This is about interpretation of quadratic equation graphs.

- The parabola that is continuous represents f(x) = (x+3)(x-4)

- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)

- This is because calculating their y-intercept respectively corresponds with what is on the graph.

We are given;

a) f(x) = (x+3)(x-4)

Let us confirm the x-intercept.

x-intercept here is when y = 0.

Thus, at y = 0; x + 3 = 0 and x - 4 = 0

Thus, at y = 0; x = -3 and y = 4

Let's now find the y-intercept;

y-intercept occurs when x = 0

Thus; y - intercept = (0 + 3)(0 - 4)

y - intercept = -12

Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.

This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)

Read more at; brainly.in/question/18896888

4 0

2 years ago

What is the distance between the two points? (-18, -6) & (-18,-1)

Hitman42 [59]

Answer:

5

Step-by-step explanation:

D² = ( x2 - x1 )² + ( y2 - y1 )²

= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²

= ( -1 + 6 )²

D² = ( 5 )²

hence, D = 5

5 0

3 years ago

Read 2 more answers

The double number line below shows the number of students in Mr. Fulton's class. It shows the number of students that represents

Lisa [10]

Answer:

100% = 30. There are 30 students in Mr.Fulton's class

Step-by-step explanation:

If we have 12 as 40%, we divide it by 2 to get the base value which is 6=20%.

Now we multiply the base by 5 so 20% x 5= 100% and 6 x 5 equals 30. so 100% = 30

<h2>MARK BRAINLIEST, I AM WORKING TWOARDS AN ACHIVMENT!</h2>

7 0

3 years ago

Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,

Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that $p = 0.08$

Sample of 11 college graduates:

This means that $n = 11$

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662$

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0

3 years ago

I have two and one half squares and i want to divide them by one fourth. How many pieces would i have?

Nutka1998 [239]

2+½, is just 2½, now divided by 1/4.

let's first convert the mixed fraction to improper, and then divide.

$\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{5}{2}\div \cfrac{1}{4}\implies \cfrac{5}{2}\cdot \cfrac{4}{1}\implies \cfrac{5}{1}\cdot \cfrac{4}{2}\implies 5\cdot 2\implies 10$

3 0

3 years ago