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2 years ago

The square root of 216 lies between which two integers?

Mathematics

1 answer:

sleet_krkn [62]2 years ago

7 0

14.6969385 lies between 14 and 15.

I hope it's right! Virtually slap me if it is not.

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You have $700 to invest in an account and need to have $950 in one year. What interest rate would you need to have in order to r

zhenek [66]

Answer:

136% = 1.36

Step-by-step explanation:

(950-700)/700

=0.3571 (0.36)

Then you have to plus one

0.36+1

=136% or 1.36

4 0

3 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

I don't get it please help.

pshichka [43]

Answer:

Answer

Step-by-step explanation:

y=-2/7x+5=

slope: -2/7

y-intercept: (0,5)

I think it's what the question is if not then sorry.

8 0

2 years ago

I need to find the expression help

notsponge [240]

The answer is
9n-2

d=9
1#=7

6 0

2 years ago

Sally has 3 /4 of a yard of ribbon. she uses 1/8 yard of ribbon to make each bow. does she have enough ribbon to make 7 bows?

tekilochka [14]

Answer:

Step-by-step explanation:

3/4 of a yard is equal to 6/8 of a yard. If Sally wants 7 ribbons, she needs at least 7/8 yards of ribbon.

3 0

2 years ago

Read 2 more answers