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Eduardwww [97]
3 years ago
14

Each of the students at piano recital takes about 8 3/4 minutes to introduce themselves and play 3 songs. There are 9 students p

laying in the recital. About how long will the recital last
Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

For this case we have that each student takes 8 \ frac {3} {4} minutes to perform and play 3 songs. Then, we convert the mixed number to a fraction:

8 \frac {3} {4} = \frac {4 * 8 + 3} {4} = \frac {32 + 3} {4} = \frac {35} {4}

Thus, each student takes\frac {35} {4} minutes.

If there are 9 students in the recital then we have:

9 * \frac {35} {4} = \frac {315} {4} = 78.75 minutes.

Thus, the recital lasts at least 78.75 minutes.

Answer:

The recital lasts at least 78.75 minutes.

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What is the equation of the line that passes through (-5, 0) and (4, 3)?
kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0
2 years ago
Is My answer correct?
Licemer1 [7]
Yes,  you are correct!
6 0
3 years ago
Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a
dolphi86 [110]

Answer:

The required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

Step-by-step explanation:

If a polynomial has degree n and c_1,c_2,...,c_n are zeroes of the polynomial, then the polynomial is defined as

P(x)=a(x-c_1)(x-c_2)...(x-x_n)

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)

R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2

R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2     [a^2-b^2=(a-b)(a+b)]

R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2

R(x)=(x^2-6x+18)(x^2-4x+4)                [i^2=-1]

R(x)=(x^2-6x+18)(x^2-4x+4)

R(x)=x^4-10x^3+46x^2-96x+72

Therefore the required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

3 0
3 years ago
Math question please show work for brainliest :)
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I really need help- eeeeeeeeeeeeeeeeeeeeeeeeeeeee
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Answer:

-2, -5, 2, then 5

Step-by-step explanation:

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