Step-by-step explanation: if you look at the graph the the 2 and 16 are the only lines where the 0 runs across and its also where the ticket prices are.

7 0

3 years ago

If someone made 65 ounces of jelly if they put the same amount of jelly in 6 jars how much jelly is in each jar

natima [27]

There would be 10.8 ounces in each jar.

8 0

4 years ago

Read 2 more answers

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

Lerok [7]

Answer:

Q1 - D. f(x) = $x^4-9x^2-50x-150$

Q13 - A. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

Q14 - A. $7x+6+4x^{2}$

Step-by-step explanation:

Question 1:

We know that rational roots always occurs in pairs. So, the zeros of the function will be 5, -3, -1+3i, -1-3i

So, the factored form is $(x-5)(x+3)(x+1-3i)(x+1+3i)=0$

i.e. $(x^2-2x-15)(x+1-3i)(x+1+3i)=0$

i.e. $(x^3-x^2-3ix^2-17x+6ix-15+45i)(x+1+3i)=0$

i.e. $x^4-9x^2-50x-150=0$

Hence, the polynomial function is $f(x)=x^4-9x^2-50x-150$ .

Question 13:

Rational Zeros Theorem states that 'If p(x) is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of p(x) = 0. Then, p is a factor of the constant term of p(x) and q is a factor of the leading coefficient of p(x)'.

Let, $\frac{p}{q}$ is a zero of $x^3-7x^2+9x-24=0$ . Then, p is a factor of -24 and q is a factor of 1.

Thus, possible values of p = ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24 and q = ±1

This gives, possible values of $\frac{p}{q}$ are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

Question 14:

We have, f(x) = 7x + 6 and g(x) = $4x^{2}$

Then, (f+g)(x) = f(x) + g(x) = 7x + 6 + $4x^{2}$

So, (f+g)(x) = $7x+6+4x^{2}$

6 0

4 years ago

– 4/5 (9x – 20) – 3x = 4/5 x – 6. Enter the value of x that makes this equation true.

marta [7]

- 4/5*9x +4/5*20 - 3x= 4/5x- 6
-36/5*x+16-3x-4/5*x= -6
-36/5*x-15x/5-4/5*x=-6-16
-55/5*x=-22
-11x= -22
x= -22:(-11)
x=2

-4/5(9*2-20)-3*2=4/5*2-6
-4/5*(-2)-6=8/5-6
8/5-6=8/5-6

4 0

3 years ago