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Luden [163]
3 years ago
15

Plzzzz helllp mmmmeee thx

Mathematics
2 answers:
geniusboy [140]3 years ago
7 0

Answer: 3x^2-30x+5

Step-by-step explanation:

Use (a+b)^2=a^2-2ab^2+b2

3(x^2-10x+25)-70

Distribute the 3 which is

3x^2-30x+75-70

Subtract the numbers {75-70} and simplify

3x^2-30x+5

DaniilM [7]3 years ago
5 0
It’s A you have the right answer highlighted
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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
Read 2 more answers
Marcus ate half of a pizza on Monday night. He then ate one third of the remaining pizza on Tuesday. Which of the following expr
Strike441 [17]

<em><u>Option E</u></em>

<em><u>The expression show how much pizza Marcus ate in total is:</u></em>

Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}

<em><u>Solution:</u></em>

Given that,

Marcus ate half of a pizza on Monday night

He then ate one third of the remaining pizza on Tuesday

Therefore,

Monday\ night = \frac{1}{2}\\

Remaining is given as:

Remaining = 1 - \frac{1}{2} = \frac{1}{2}

He then ate one third of the remaining pizza on Tuesday

Therefore,

Tuesday = \frac{1}{3} \times \frac{1}{2}

<em><u>Thus expressions show how much pizza Marcus ate in total is:</u></em>

Total = monday night + tuesday

Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}

Thus Option E is correct

3 0
3 years ago
Rema spent 6 days reading her book, completing the same fraction of the book each day, if she read a total of 8/9 of her book af
AnnZ [28]
(8/9) / 6 =
8/9 * 1/6 =
8/54 which reduces to 4/27 of the book each day <===
7 0
3 years ago
HELP A FELLA OUT Please
Vanyuwa [196]

I'll write "x" instead theta.

sin x + 1 = cos(2x)

formula: cos(2x) = 1 - 2sin²x

sin x + 1 = 1 - 2sin²x

2sin²x + sin x = 0

sin x (2sin x + 1) = 0

sin x = 0 or sin x = -1/2

x1 = πk and x2 = -π/6 + 2πk and

x3 = 5π/6 + 2πk

for domain 0≤x<2π :

x1 = 0 (for k=0 in x1)

x2 = π (for k=1 in x1

x3 = 11π/6 (for k=1 in x2)

x4 = 5π/6 (for k=0 in x3).

k is an integral.

8 0
3 years ago
Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a
Naily [24]

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

4 0
3 years ago
Read 2 more answers
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