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2 years ago

Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.

1 answer:

5 0

$\begin{cases} x=3\implies &x-3=0\\ x=-5\implies &x+5=0 \end{cases}\qquad \implies\qquad a(x-3)(x+5)=\stackrel{0}{y} \\\\\\ a(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \stackrel{\textit{leading coefficient of 2}}{2(x^2+2x-15)}=y\implies 2x^2+4x-30=y$

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You might be interested in

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

8 0

3 years ago

Diameter Radius Area Circumference of= 132

AveGali [126]

Answer:

$lets \: \: find \: \: \: the \: \: \: radius \\ 2\pi \: r = 132 \\ \frac{2\pi \: r}{2\pi} = \frac{132}{2\pi} \\ r = 21.01$

$lets \: \: \: find \: \: \: the \:area \: now \\ = \pi {r}^{2} \\ = \pi \times {21.01}^{2} \\ = 1,386.76$

$lets \: fin d\: \: \: the \: \: diameter \\ = d = 2r \\ = d = 2 \times 21.01 \\ = d = 42.02$

7 0

2 years ago

If you ate 56 hotdogs in 7 minutes how much would you eat per minute

Elan Coil [88]

Answer:

8 hot dogs

Step-by-step explanation:

$8*7=56\\$

6 0

3 years ago

Read 2 more answers

-27 - x = -51<br> ................

Katarina [22]

Answer:

Step-by-step explanation:

-27 - x = -51

+27 +27

-x = -24

x = 24

6 0

2 years ago

Question 5

Darina [25.2K]

Answer:

the answer is 12.24 .

Step-by-step explanation:

that answer is right is because when you add of those you get 530 , then you divide by how many numbers there are which is 7 , which equals to 75.7 . when you get that number ( 75.7) you subtract that number to 65,90,85,70,70,95, and 55 . when you get the total of all of those you add those . which is 10.7, 14.3 , 9.3 , 5.7 , 5.7 , 19.3 , and 20.7 . from adding those you get 85.7. you divide by 7 and get 12.24 . hope this helps :) .

8 0

2 years ago