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Lady bird [3.3K]
3 years ago
9

What is the product of (2x+3)(4x²-5x+6) ​

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

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(5x^2+3x+4)-(2x^2+5x-1)
DedPeter [7]
Answer:
The answer is (3x^2-2x+5)
6 0
3 years ago
What is the equation of y = x ^ 3 with the given transformations? vertical compression by a factor of horizontal shift 8 units t
dexar [7]

Answer: y = 3 (x -4)^3

Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x):   y = 3(x - 4)^3

Vertical shift 3 units down (subtract 3 units from the function):   y = 3(x - 4)^3 - 3

5 0
3 years ago
Which value for x makes the open sentence true. 4•3 -2x < X2 -2
Angelina_Jolie [31]
First subtract 12 from both sides, then subtract 2x from both sides, multiply both sides by -1, then divide by 4.  

x > 3.5
4 0
3 years ago
Read 2 more answers
Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound
KengaRu [80]

Answer:

x = 28 ----- Banana

y = 54 ----- Almonds

z = 18 ---- Chocolate

Step-by-step explanation:

Let

x \to banana

y \to almonds

z \to chocolate

So, we have:

x + y + z = 100 --- total used

4x + 8y + 6z = 652 -- i.e. 6.52 * 100 --- total sales from 100 pounds

y = 3z

Required

The number of pounds of each (i.e. x, y and z)

Substitute y = 3z in x + y + z = 100

x + 3z + z = 100

x + 4z = 100

Make x the subject

x = 100 - 4z

Substitute y = 3z in 4x + 8y + 6z = 652

4x + 8 * 3z + 6z = 652

4x + 24z + 6z = 652

4x + 30z = 652

Substitute x = 100 - 4z

4(100 - 4z) + 30z = 652

400 - 16z + 30z = 652

Collect like terms

- 16z + 30z = 652-400

14z = 252

Divide by 14

z = 18

Substitute z = 18 in x = 100 - 4z

x = 100 - 4 * 18

x = 100 - 72

x = 28

To calculate y, we have:

y = 3z

y = 3 * 18

y = 54

6 0
3 years ago
Simplify 10-x(3x-4) x^2<br>a)-4x^2-x+10<br>b)-4x^2+x+10<br>c)4x^2+x10<br>d)-4x^2+4x+10
morpeh [17]

Simplify 10-x(3x-4) x^2

a)-4x^2-x+10

b)-4x^2+x+10

c)4x^2+x10

d)-4x^2+4x+10

Answer is B

hope it helps

5 0
3 years ago
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