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3 years ago

The Hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the

Mathematics

1 answer:

NemiM [27]3 years ago

6 0

Answer:

I believe it is a total of 73.188

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What is the prime factorization of 60

jeka57 [31]

Answer:

2*2*3*5

Step-by-step explanation:

We need to factor 60 until it is prime numbers

60 = 12*5 5 is prime 12 is not

=3*4 *5 3,5 prime 4 is not

= 3 *2*2 *5 2,3,5 are prime

Rearranging the order

=2*2*3*5

5 0

3 years ago

Estaban is 6 years older than his brother Raoul. The sum of their ages is 38. How old are the brothers?

Over [174]

Answer:

raoul is 16 and estaban is 22

8 0

3 years ago

PLS PLS PLS PLSSSSS HELPPPP

ioda

Answer: 14

Step-by-step explanation:

Okay so it asks in all, which means morning distance + afternoon distance

We got the afternoon distance so now we have to find the morning one

it says the afternoon distance (6), is 25% less than the morning distance.

Which means the afternoon distance is 0.75 of the morning distance.

so 0.75x = 6, x = 6/0.75 = 8

Then you add 8 to 6 to get 14

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

1. Which describes the intersection of plane A and line m?

NeTakaya

1. The intersection between plane A and line n is the point x
2. Since the right angle is bisected, the two smaller angles produced have measures of 45 degrees.
<span>c. m∠CEB = 45°
3. There is only 1 line that can be drawn between J and K</span><span />

4 0

3 years ago

Read 2 more answers