$\text{Solve for x:}\\\\2(4+2x)\geq5x+5\\\\\text{Use the distributive property}\\\\8+4x\geq5x+5\\\\\text{Subtract 5x from both sides}\\\\8-x\geq5\\\\\text{Subtract 8 from both sides}\\\\-x\geq-3\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\x\leq3\\\\\boxed{\text{Answer: C.} \,x\leq3}$

8 0

3 years ago

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A bag of 7 bouncy balls cost $9.80. What is the unit price?

Fittoniya [83]

Answer:

$1.40

Step-by-step explanation:

Unit = "1 value"

9.80/7 = 1.4

8 0

2 years ago

The quadratic regression equation that models these data is y = –0.34x2 + 4.43x + 3.46. Using the quadratic regression equation,

arsen [322]

Answer:

13.76

Step-by-step explanation:

We want year 10; this means we substitute 10 in place of x:

y=-0.34(10²)+4.43(10)+3.46

y = -0.34(100)+4.43(10)+3.46

y = -34+44.3+3.46 = 13.76

3 0

3 years ago

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Which statement shows how two polynomials 4x2 and x2 + 3x + 7 demonstrate the closure property when multiplied?

son4ous [18]

By definition we have to:
A set has under an operation if performance of that operation on set members always produces a member of the same set; in this case we also say that the set is closed under the operation.
For this case we have the following polynomials:
$4x ^ 2

x ^ 2 + 3x + 7$
Multiplying we have:
$(4x ^ 2) (x ^ 2 + 3x + 7) = 4x ^ 4 + 12x ^ 3 + 28x ^ 2
$
The product of two polynomials is also a polynomial.
Answer:
d $4x ^ 4 + 12x ^ 3 + 28x ^ 2$ is a polynomial

4 0

2 years ago