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3 years ago

If f(x)=3x^2-4x+9, find the f(2)

2 answers:

7 0

13

Well you will plug in 2 into x and it’ll give you 3(2)^2-4(2)+9 and when you work that out you get 3(4)-8+9 and then work that out and you’ll get 12-8+9 and then a final answer of 13

kipiarov [429]3 years ago

6 0

Answer:

Step-by-step explanation:

3(2)(2) -4(2)+9

12 -8 +9= 13

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F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2) I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

Given function:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find a, compare the coefficients of x³:

$\implies a=3$

To find b, substitute the found value of a into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find c, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

Zero Product Property

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

3 0

1 year ago

Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour

uysha [10]

Answer:

$112.80

Step-by-step explanation:

If he earns $0.235 per pack, and there are 480 packs, then our equation is:

0.235 x 480 = $112.80

5 0

3 years ago

A high school teacher gives three regular exams during a semester and one final exam at the end of the semester. A student’s fin

statuscvo [17]

To get an average score of 80% (out of four exams), a total of 4*80%=320% is needed, so the minimum required for the 4th test is 320-(75+97+60)=88.
To get an average score of 89% (out of four exams), a total of 4*89%=356% is needed, so the maximum required for the 4th test is 356-(75+97+60)=124, which is impossible.
So the next exam grade must range between 88 and 100 to get a grade b in the class.

Hoped I help! Mark brainly it would help<3

5 0

3 years ago

while shopping for clothes, Tracey spent 38$ less than 3 times what Daniel spent. write and solve an equation to find how much D

alexandr1967 [171]

$\bold{\huge{\orange{\underline{Solution}}}}$

$\bold{\underline{ Given :- }}$

While shopping for clothes Tracey spent 38$ less than 3 times of what Daniel spent

$\bold{\underline{ To\: Find :- }}$

We have to determine the total cost spent by daniel

$\bold{\underline{ Let's \: Begin :- }}$

Cost spent by Tracey for her clothes = 38$

Let assume the spending by Daniel is x

$\bold{\underline{Therefore ,}}$

$\sf{ x / 3 = 38 }$

$\sf{ x = 38 × 3 }$

$\sf{ x = 114 dollar }$

$\sf{\red{ Hence,\: Daniel\: spent\: 114 \: dollars\: on \: His\: clothes }}$

7 0

3 years ago

A production manager tests 10 batteries and finds that their mean lifetime is 468

Marat540 [252]

The question is somehow incomplete but the answer is it in the inferential stage of probability-based inference. It is in complex networks of codependent variables is an lively theme in statistical research, encouraged by such varied presentations as predicting, pedigree examination and troubleshooting.

6 0

3 years ago

If f(x)=3x^2-4x+9, find the f(2)​

If f(x)=3x^2-4x+9, find the f(2)