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S_A_V [24]
3 years ago
5

Resolute academy algebra 1

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

Answer:

B

Step-by-step explanation:

We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as

2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3

Comparing this with each answer, we have

A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct

B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure

C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect

D: \frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3. This is incorrect

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Answer:

0.4

Step-by-step explanation:

4

5 0
3 years ago
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

7 0
2 years ago
H(x) = 4x - 2; Find h(a+b)
mart [117]

Answer:

4a + 4b - 2

Step-by-step explanation:

To evaluate h(a + b) , substitute x = a + b into h(x), that is

h(a + b) = 4(a + b) - 2 = 4a + 4b - 2

4 0
3 years ago
PLEASE HELP AHHHH IS URGENT.​
telo118 [61]
Answer:

z=96, because we know that any straight line is equivalent to 180 degrees, so we subtract 180-48-36=96.

To find x we first make an equation 6x+96+36=180
6x+132=180
6x=180-132
6x=48
6x/6=48/6
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and also cause why not y=96 as well same principle applies.
7 0
3 years ago
there are 45 green cars and bkack cars. the green cars are 27 more than the black. how many are green cars?
devlian [24]

Answer:

18

Step-by-step explanation:

45-27=18

6 0
3 years ago
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