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3 years ago

Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x)

Mathematics

1 answer:

tamaranim1 [39]3 years ago

6 0

Answer:

Step-by-step explanation:

3 $x^{2}$ +x-3= $x^{2}$ - 5x

combine like terms

3 $x^{2}$ + $x^{2}$ = 4 $x^{2}$

x -5x = -4x

then combine 4 $x^{2}$ and -4x

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② The complement of an<br> angle. is 10 more<br> than 3 times the<br> angle. Find both

Mrac [35]

Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70

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3 years ago

I really need help with my math question if anyone is feeling nice it would be so much to help

Vlad1618 [11]

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2 years ago

There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch

OverLord2011 [107]

Answer:

The number of students that bring their lunches is 12

Step-by-step explanation:

Let

x -----> the number of students that bring their lunches

y -----> the total number of students in a class

we know that

The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8

$\frac{x}{y}=\frac{3}{8}$

$x=\frac{3}{8}y$ -----> equation A

$y=32$ -----> equation B

substitute the value of y in equation A and solve for x

$x=\frac{3}{8}(32)$

$x=12$

therefore

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6 0

3 years ago

What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa

n200080 [17]

The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

$p^4 - 16$

Let the factor form of the polynomial is f(p). Thus,

$f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2$

Using the formula of difference of squares, we get,

$f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)$

Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

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2 years ago

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Diano4ka-milaya [45]

Answer:

Early college provides high school students the ability to get a sneak-peak into what college is like as a whole. Credits, professors, homework, campus and friends don't need to be intimidating topics anymore.

Step-by-step explanation:

I Hope This Helps! Good Luck!

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3 years ago

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