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user100 [1]
2 years ago
11

The product of b and 2 is greater than or equal to 28

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

b \geqslant 14

Step-by-step explanation:

Product of b and 2 = 2b

According to the given description:

2b \geqslant 28 \\  \\ b \geqslant  \frac{28}{2}  \\  \\ b \geqslant 14

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Ann has the 5 newest music CD's which is 3 less than twice the amount that Bob has.
kupik [55]
We can write it down as:

5 = 2x - 3             / + 3 (both sides)
8 = 2x                  / : 2 (both sides)
x = 4

Bob has 4 CDs. Let's check it:

5 = 2 * 4 - 3
5 = 8 - 3
5 = 5

Correct.
8 0
3 years ago
Which expression is not equivalent to −4x3+x2−6x+8?
Gekata [30.6K]

The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is

f(x)=-4x³+x²-6x+8

The option given as,

  • (1) x² (-4x+1)-2(3x-4)
  • (2) x(-4x²- x + 6) + 8
  • (3) -4x³ + (x - 2)(x - 4)
  • (4) -4(x³ - 2) + x(x - 6)

From the given expression, if we take out <em>x </em>from the first three terms, it looks like option 2.

f(x)=-4x³+x²-6x+8

f(x)=x(-4x²+x-6)+8

From the given expression, if the last three terms factored, it looks like option 3.

f(x)=-4x³+x²-6x+8

f(x)=-4x³+x^2-4x-2x+8

f(x)=-4x³+x(x-4)-2(x-4)

f(x)=-4x³+(x-4)(x-2)

Rearrange the given expression, and make it looks like option 4.

f(x)=-4x³+x²-6x+8

f(x)=-4x²+8+x²-6x

f(x)=-4(x³-2)+x(x-6)

Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Learn more about the equivalent expression here;

brainly.com/question/2972832

#SPJ1

4 0
1 year ago
Fifteen less than twice a number x is y
ZanzabumX [31]

Step-by-step explanation:

The Mathematical transformation of the given statement would be:

2x - 15 = y

7 0
2 years ago
Read 2 more answers
Find the coordinate of center<br>of the ellipse<br>x2 + 36y2 + 12x = 0​
baherus [9]

Answer:

(-6, 0).

Step-by-step explanation:

x^2 + 36y^2 + 12x = 0

Convert to standard form:

(x + 6)^2 - 36 +36y^2 = 0

(x + 6)^2 + 36y^2 = 36

Divide through by 36:

(x + 6)^2 / 36 + (y - 0)^2/ 36 = 1

Now compare this with the general form:

(x - h)^2/a^2 + (y - k)^2/ b^2  = 1

We see that the center (h, k) = (-6, 0).

7 0
3 years ago
the sum of the measures of the angles of any triangle is 180 degrees. in triangle ABC, angles A and B have the same measure, of
insens350 [35]

Answer:

A=36

B=36

C=108

Step-by-step explanation:

A =B

2A+C=180

C is greater than A

2A+(A+72) =180

SIMPLIFY

3A +72=180

-72 ON BOTH SIDES

3A=108

DIVIDE BY 3

A=36

SO

B=36

36 TIMES 2 IS 72

180-72=108

SO

C=108

hope this helps

7 0
3 years ago
Read 2 more answers
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