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Bas_tet [7]
3 years ago
13

Which of the following expressions is a polynomial?

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

d is the answer i believe

Step-by-step explanation:

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4y-x=5+2y; 3x+7y=24 solve systen by using substitution
jek_recluse [69]
4y - x = 5 + 2y ..... (1)
3x + 7y = 24    ..... (2)

by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span>        ..... (1a)

by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x  -  6y = -15  ..... (1b)

by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
                      13y = 39
           ⇒            y = 3

by substituting y=3 into (2)
    3x + 7(3) = 24 
              3x = 24 - 21
              3x = 3
        ⇒     x = 1


∴ solution to the system is x=1 when y = 3
6 0
3 years ago
Given the following equation, at what point will the graph intersect? f(x) =5x+1 g(x)= -2x+15
Andru [333]

Answer: (2,11)

Step-by-step explanation:

To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.

5x+1=-2x+15                       [add both sides by 2x]

7x+1=15                               [subtract both sides by 1]

7x=14                                  [divide both sides by 7]

x=2

Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.

f(2)=5(2)+1                         [multiply]

f(2)=10+1                            [add]

f(2)=11

The point on f(x) is (2,11).

g(2)=-2(2)+15                    [multiply]

g(2)=-4+15                         [add]

g(2)=11

The point on g(x) is (2,11).

Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).

8 0
3 years ago
A computer can be classified as either cutting dash edge or ancient. Suppose that 99​% of computers are classified as ancient.​(
gulaghasi [49]

Answer:

Step-by-step explanation:

a )

probability of a computer being ancient = .99

probability of a computer being cutting-edge =.01

probability of two selected  computer being old

= .99 x .99

= .98 or 98%

b )

probability of 5 selected computers being old

= .99 x .99 x .99 x .99 x .99

= .95 or 95%

c )

probability that at least one of the five selected computers is cutting-edge

= 1 - probability of 5 selected computers being old

= 1 - .95

= .05

5 %

8 0
3 years ago
If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
Lelu [443]
Hello : 
<span>If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
</span>(f+g)(x)= f(x) +g(x) = x/2-2  +2x²+x-3 = x/2 +2x²+x-5
(f+g)(x)= (x+4x²-2x-10) /2
(f+g)(x)= (4x²+3x-10)/2 = 2x²+3/2 x -5
4 0
3 years ago
Read 2 more answers
Find the missing angels in the parallelogram
krek1111 [17]

Answer:

m<B = 60°

m<C = 60°

m<F = 80°

m<G = 80°

Step-by-step explanation:

m<B = 180° - 120° = 60°

m<C = m<B = 60° (Vertically opposite angles are equal)

m<F = 180° - (40° + m<C(60°)) = 80°

m<G = 180° - (m<H + m<B) = 180° - (40° + 60°) = 80°


6 0
3 years ago
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