1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Assoli18 [71]
3 years ago
8

-3/4 x 2/5 (answers welcome)

Mathematics
2 answers:
frutty [35]3 years ago
8 0

Answer:

-3/10

Step-by-step explanation:

-3/4 * 2/5 = (-3 * 2) / (4 * 5) = - 6/20 = -3/10

astraxan [27]3 years ago
5 0

Answer:

-3/10

Step-by-step explanation:

reduce the numbers -3/2 x 1/5

multiply

You might be interested in
Nancy has 7 boxes of tomatoes. Each day, she picks another
sergeinik [125]

Answer: 19

Reasoning: the equation is 7 + (6 x 2) = 19

4 0
3 years ago
Read 2 more answers
5)
stealth61 [152]

Answer:

the correct answer is option D. median is 7 and mean is 5.93

7 0
3 years ago
Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficie
Dvinal [7]
For part (a), you have

\dfrac x{x^2+x-6}=\dfrac x{(x+3)(x-2)}=\dfrac a{x+3}+\dfrac b{x-2}
x=a(x-2)+b(x+3)

If x=2, then 2=b(2-3)\implies b=-2.

If x=-3, then -3=a(-3-2)\implies a=\dfrac35.

So,

\dfrac x{x^2+x-6}=\dfrac 3{5(x+3)}-\dfrac 2{x-2}

For part (b), since the degrees of the numerator and denominator are the same, you first need to find the quotient and remainder upon division.

\dfrac{x^2}{x^2+x+2}=\dfrac{x^2+x+2-x-2}{x^2+x+2}=1-\dfrac{x+2}{x^2+x+2}

In the remainder term, the denominator x^2+x+2 can't be factorized into linear components with real coefficients, since the discriminant is negative (1-4\times1\times2=-7). However, you can still factorized over the complex numbers, so a partial fraction decomposition in terms of complexes does exist.

x^2+x+2=0\implies x=-\dfrac12\pm\dfrac{\sqrt7}2i
\implies x^2+x+2=\left(x-\left(-\dfrac12+\dfrac{\sqrt7}2i\right)\right)\left(x-\left(-\dfrac12-\dfrac{\sqrt7}2i\right)\right)
\implies x^2+x+2=\left(x+\dfrac12-\dfrac{\sqrt7}2i\right)\left(x+\dfrac12+\dfrac{\sqrt7}2i\right)

Then you have

\dfrac{x+2}{x^2+x+2}=\dfrac a{x+\dfrac12-\dfrac{\sqrt7}2i}+\dfrac b{x+\dfrac12+\dfrac{\sqrt7}2i}
x+2=a\left(x+\dfrac12+\dfrac{\sqrt7}2i\right)+b\left(x+\dfrac12-\dfrac{\sqrt7}2i\right)

When x=-\dfrac12-\dfrac{\sqrt7}2i, you have

-\dfrac12-\dfrac{\sqrt7}2i+2=b\left(-\dfrac12-\dfrac{\sqrt7}2i+\dfrac12-\dfrac{\sqrt7}2i\right)
\dfrac32-\dfrac{\sqrt7}2i=-\sqrt7ib
b=\dfrac12+\dfrac3{2\sqrt7}i=\dfrac1{14}(7+3\sqrt7i)

When x=-\dfrac12+\dfrac{\sqrt7}2i, you have

-\dfrac12+\dfrac{\sqrt7}2i+2=a\left(-\dfrac12+\dfrac{\sqrt7}2i+\dfrac12+\dfrac{\sqrt7}2i\right)
\dfrac32+\dfrac{\sqrt7}2i=\sqrt7ia
a=\dfrac12-\dfrac3{2\sqrt7}i=\dfrac1{14}(7-3\sqrt7i)

So, you could write

\dfrac{x^2}{x^2+x+2}=1-\dfrac{x+2}{x^2+x+2}=1-\dfrac {7-3\sqrt7i}{14\left(x+\dfrac12-\dfrac{\sqrt7}2i\right)}-\dfrac {7+3\sqrt7i}{14\left(x+\dfrac12+\dfrac{\sqrt7}2i\right)}

but that may or may not be considered acceptable by that webpage.
5 0
3 years ago
Read 2 more answers
Help will give brainliest
Marta_Voda [28]

Answer: 12 miles equals 1 inch

Step-by-step explanation:

4 0
3 years ago
hey so I just want to tell you all that you are amazing, beautiful (or handsome), and don't let anyone tell you otherwise. I why
valina [46]
And always remember this applies to you too like honestly you’re amazing for doing this
6 0
3 years ago
Other questions:
  • One serving of cottage cheese has a mass 110 grams. 2/55 of the mass consists of carbohydrates. What is the total mass of carboh
    7·1 answer
  • Solve the equation on the interval [0, 2π). tan^2x sin x = tan^2x
    8·1 answer
  • Find the area of the polygon. 12 cm12 cm19 cm The area of the polygon is square centimer
    8·1 answer
  • explain how arc length and the measure of the central angle of a circle are related. check my answer?
    10·1 answer
  • Liam buys a motorcycle for $2,900. Its value depreciates annually at a rate of 12%. At the end of t years, it has a value of les
    13·1 answer
  • The solution set for all real numbers x such that 2x + 3 < 19 and 2x − 3 ≤ -7 is (blank, blank]
    14·1 answer
  • How is an irrational number different from a rational number
    11·1 answer
  • Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale.
    8·2 answers
  • Simplify 6 . 3p<br><br> 18p<br><br> 63p<br><br> 18+p<br> 9p
    8·1 answer
  • Find the perimeter and area of the figure shown in the picture. ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!