24 is 60% of what number

List the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = x5 - 3x2 + 3x + 14

uysha [10]

$f(x) = x^5 - 3x^2 + 3x + 14\\\\14\to\{\pm1;\ \pm2;\ \pm7;\ \pm14\}\ and\ \left\{\pm\dfrac{1}{14};\ \pm\dfrac{1}{7}; \pm\dfrac{1}{2}\right\}$

4 0

2 years ago

Given that x=3sinθ-2 and y=3cosθ+4.Show that (x+2)²+ (y-4)²=9

asambeis [7]

Answer:

First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:

$((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9$

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

$(3\sin(\theta))^2+(3\cos(\theta))^2=9$

We can factor out 3^2 = 9 from both equations:

$9(\sin(\theta)^2+cos(\theta)^2) = 9$

We know from a trigonometric identity that $\sin(\theta)^2+cos(\theta)^2 = 1$ , meaning we can reduce the equation to:

$9(1) = 9$

$9=9$

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.

Hope this helped you.

7 0

2 years ago

The formula v =bh means that the volume of a prism is equal to its base area times its height. Solve v= bh for b

svetlana [45]

Solve for b means isolate b:

V = bh
V/h = b

Answer:
b = V/h

7 0

3 years ago

Read 2 more answers

Please help me I have to turn in by 8:00

Diano4ka-milaya [45]

Answer:

A 2

Step-by-step explanation:

When we divide x by 9 there is some whole number we will call y plus a remainder of 4

x/9 = y remainder 4

Writing this in fraction form

x/9 = y + 4/9

Multiplying each side by 9

9*x/9 = 9* y + 4/9 *9

x = 9y +4

Multiply each side by 2

2x = 2*(9y+4)

2x = 18y +8

Add 3 to each side

2x+3 = 18y +8+3

2x+3 = 18y +11

Divide each side by 9

(2x+3)/9 = 18y/9 +11/9

= 2y + 9/9 +2/9

=(2y+1 + 2/9)

We know y is a whole number and 1 is a whole number so we can ignore 2y +1 when looking for a remainder)

2/9 is a fraction

Taking this back from fraction form to remainder from

(2y+1) remainder 2

7 0

2 years ago

According to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of l

finlep [7]

Answer:

0.3157

Step-by-step explanation:

Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,

Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own

P(B) = 41%=0.41

A and B are independent

Hence P(both)= $0.77(0.41) = 0.3157\\$

the probability that a person agreed with both propositions

= Probability for both A and B

= P(A) P(B) since A and B are independent

= 0.3157

3 0

3 years ago