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Viefleur [7K]
3 years ago
14

What can be determined by looking at the polynomial f(x)=(x+3)(x−7)?

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

A quadratic equation

Step-by-step explanation:

f(x) = (x + 3)(x - 7) \\ f(x) =  {x}^{2}  - 7x + 3x - 21 \\ f(x) =  {x}^{2}  - 4x - 21

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how many different license plates can be formed if each plate plate has 5 different digits followed by 1 letter
Elina [12.6K]

This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.

A we cannot repeat the digits, so, first five digits will be:

10 × 9 × 8 × 7 × 6

Now the next 1 digit will all be letter all being different

There are 26 letters in the alphabet.. for our second digit we have 26 choices,

Here is the whole calculation:

= 10 × 9 × 8 × 7 × 6 × 26

= 786240

To learn more about calculating possibilities from the given link

brainly.com/question/4658834

#SPJ4

3 0
2 years ago
I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=
mojhsa [17]
\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to &#10;\begin{cases}&#10;f(t)=0\\&#10;t=7&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)&#10;\\\\\\&#10;\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0&#10;\\\\\\&#10;C=-5ln(7)&#10;\\\\\\&#10;thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

6 0
3 years ago
WILL GIVE BRAINLIEST
prisoha [69]

Answer:

(c)hope

Step-by-step explanation:

2x + 44 = 72

14

hence

2x = 2*14

28

7 0
3 years ago
What is the radius of the sun?
Harrizon [31]
432,288 miles.
Google something like this lol
5 0
3 years ago
F(x) = 3x/x+7, what is the domain?
artcher [175]

Answer:

All real numbers except x=-7

Step-by-step explanation:

Since x=-7 is a discontinuity in the rational function, this makes the denominator equal to 0.

6 0
2 years ago
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