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2 years ago

Simplify the expression. (1423 – 2x2 + 3x – 7) – (328 + 142 – 10)

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

3 0

Answer:

-2x^2+3x+956

Step-by-step explanation:

If you want to do math easier, just look up symbolab.com and it will show you the right answers and how to do the problems.

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Can someone help me please

pishuonlain [190]

Answer:

Step-by-step explanation:

36+88+y=180

124+y=180

y=180-124

y=56

x+90+56=180

x+146=180

x=180-146

x=34

<h3>If you need to ask any questions, please let me know.</h3>

7 0

2 years ago

Let a and b be roots of x² - 4x + 2 = 0. find the value of a/b² +b/a²

erastovalidia [21]

Answer:

$\dfrac{a}{b^2}+\dfrac{b}{a^2}=10$

Step-by-step explanation:

Given equation: $x^2-4x+2=0$

The roots of the given quadratic equation are the values of x when $y=0$ .

To find the roots, use the quadratic formula:

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=1, \quad b=-4, \quad c=2$

$\begin{aligned}\implies x & =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(1)(2)}}{2(1)}\\& =\dfrac{4 \pm \sqrt{8}}{2}\\& =\dfrac{4 \pm 2\sqrt{2}}{2}\\& =2 \pm \sqrt{2}\end{aligned}$

$\textsf{Let }a=2+\sqrt{2}$

$\textsf{Let }b=2-\sqrt{2}$

Therefore:

$\begin{aligned}\implies \dfrac{a}{b^2}+\dfrac{b}{a^2} & = \dfrac{2+\sqrt{2}}{(2-\sqrt{2})^2}+\dfrac{2-\sqrt{2}}{(2+\sqrt{2})^2}\\\\& = \dfrac{2+\sqrt{2}}{6-4\sqrt{2}}+\dfrac{2-\sqrt{2}}{6+4\sqrt{2}}\\\\& = \dfrac{(2+\sqrt{2})(6+4\sqrt{2})+(2-\sqrt{2})(6-4\sqrt{2})}{(6-4\sqrt{2})(6+4\sqrt{2})}\\\\& = \dfrac{12+8\sqrt{2}+6\sqrt{2}+8+12-8\sqrt{2}-6\sqrt{2}+8}{36+24\sqrt{2}-24\sqrt{2}-32}\\\\& = \dfrac{40}{4}\\\\& = 10\end{aligned}$

6 0

2 years ago

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A paperback book is shaped like a rectangular prism. The cover of the book measures 5 inches by 8 inches, and the book is 2 inch

mezya [45]

80 inches is the volume

4 0

3 years ago

Read 2 more answers

6.2×0.03= and tell me how you did it please

matrenka [14]

Answer:

0.186

Step-by-step explanation:

6.2

x 0.03

6.2

x 0.03 since 6*3=18, we have to carry the 1

6.2

x 0.03

186

6.2

x 0.03

186

6.2

x 0.03

186

6.2

x 0.03

186

6.2

x 0.03

186

+ 00 add the partial products

00

00186

6.2

x 0.03 count how many digits are after the decimal point from each factor =3 and place in product

186

+ 00

00

00.186=0.186

answer=0.186

8 0

3 years ago

URGENT 10 POINTS BRAINLIEST

REY [17]

For a the answer is: 48 km/hr. For b the answer is: The distance could be longer, so if she took hours she would have to drive faster; or if starter distance she would have driven slower

3 0

3 years ago