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yanalaym [24]
2 years ago
10

If x=3 and y=7, evaluate the following expression: 100 − 3 ( 3 − 4x )

Mathematics
2 answers:
Vsevolod [243]2 years ago
6 0

Answer:

873

Step-by-step explanation:

  • 100 - 3 ( 3- 4x )
  • 97 ( 3 - 4×3 )
  • 97 (3 - 12 )
  • 97 × 9
  • 873
coldgirl [10]2 years ago
4 0

Answer:

100 - 3(3 - 4x) \\  = 100 - 3(3 - 4 \times 3) \\  = 100 -27 \\  = 73

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Consider the following polynomial. - 2x * y ^ 5 + 3x ^ 7 - 10x ^ 3 * y ^ 6 + 8x ^ 6 + 4 Which of the following statements are tr
Salsk061 [2.6K]

Option a: polynomial has 5 terms.

Option c: The constant term is 4.

Explanation:

The polynomial is -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4

Option a: Polynomial has 5 terms

From the polynomial, we have,

1st term = -2 x y^{5}

2nd term = 3 x^{7}

3rd term = -10 x^{3} y^{6}

4th term = 8 x^{6}

5th term = 4

Hence, the polynomial has 5 terms.

Thus, Option a is the correct answer.

Option b: The leading coefficient is -2 and the degree of the polynomial is 7.

The leading coefficient is the coefficient of the variable with the largest degree.

The degree of the polynomial can be determine by the adding the powers of the variable.

degree of 1st term = -2 x y^{5} = 1+5=6

degree of 2nd term = 3 x^{7} =7

degree of 3rd term = -10 x^{3} y^{6} =3+6=9

degree of 4th term = 8 x^{6} =6

degree of 5th term = 4 =0

Thus, from these 5 terms the highest value is 9 which is the degree of the polynomial.

The polynomial -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4 has a largest degree of 9 and the leading coefficient is -10.

Hence, Option b is not the correct answer.

Option c: The constant term is 4.

The constant term is a term in which variable will not occur.

From the polynomial -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4, we can see that the constant term is 4.

Hence, Option c is the correct answer.

Option d: Polynomial is in decreasing degree order

The decreasing degree order is the degree in which each term is no larger than the degree of the preceding term.

From the polynomial, we have,

degree of 1st term = -2 x y^{5} = 1+5=6

degree of 2nd term = 3 x^{7} =7

degree of 3rd term = -10 x^{3} y^{6} =3+6=9

degree of 4th term = 8 x^{6} =6

degree of 5th term = 4 =0

where the degree of the 3rd term is not less than the 4th term.

Thus, the polynomial is not in decreasing degree order.

Hence, Option d is not the correct answer.

5 0
3 years ago
Can someone help me solve for x?
KatRina [158]
9x+72 = 4x+112
5x = 40
  x = 8
3 0
3 years ago
Read 2 more answers
What is 6x-5y??<br><br> _real questions_ do you like my shoes or no?
andrew-mc [135]

Answer:

ur shoes r cool i like the color. on the math i dont know or care lol ;P

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP!! answer the question in the photo
Ivan
The answer will either be E or 38
3 0
3 years ago
Solve the problem. If s is a distance given by s(t) = + + 40 + 10. find the acceleration, alt). Q ald) = 10 ald) = 2t + 4 O alt)
QveST [7]

Answer:

C

Step-by-step explanation:

Remember that if s(t) is a position function then:

v(t)=s'(t) is the velocity function and

a(t)=s''(t) is the acceleration function.

So, to find the acceleration, we need to solve for the second derivative of our original function. Our original function is:

s(t)=t^2+4t+10

So, let's take the first derivative first with respect to t:

\frac{d}{dt}[s(t)]=\frac{d}{dt}[t^2+4t+10]

Expand on the right:

s'(t)=\frac{d}{dt}[t^2]+\frac{d}{dt}[4t]+\frac{d}{dt}[10]

Use the power rule. Remember that the derivative of a constant is 0. So, our derivative is:

v(t)=s'(t)=2t+4

This is also our velocity function.

To find acceleration, we want to second derivative. So, let's take the derivative of both sides again:

\frac{d}{dt}[s'(t)]=\frac{d}{dt}[2t+4]

Again, expand the right:

s''(t)=\frac{d}{dt}[2t]+\frac{d}{dt}[4]

Power rule. This yields:

a(t)=s''(t)=2

So, our answer is C.

And we're done!

6 0
3 years ago
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