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padilas [110]
3 years ago
14

6(1 − 3d) < 2(7d + 6

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
8 0

Answer:

d> -3/16

Step-by-step explanation:

Andre45 [30]3 years ago
8 0

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:d>-\frac{3}{16}\:\\ \:\mathrm{Decimal:}&\:d>-0.1875\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{3}{16},\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

6-18d-6<14d+12-6

-18d<14d+6

-18d<14d+6

-32d<6

-32d<6

\frac{32d}{32}>\frac{-6}{32}

d>-\frac{3}{16}

Brainliest plz

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Find the propertyof real numbers illustrated by the equation -4(x+4)=-4x-16
asambeis [7]

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The distributive property of multiplication over addition:

a(b + c) = ab + ac

You have

-4(x + 4) = -4x - 16

which is an application of that property.

Answer: distributive property of multiplication over addition

6 0
3 years ago
Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
Read 2 more answers
Solve for me please....... 4x-z=y for x
Vlada [557]
4x-z=y

4x=y+z

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5 0
3 years ago
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STALIN [3.7K]
To get a sum of 3, you must roll a 1 and a 2. To get a sum of 8, you must roll a 5 and 3, or two 4's.
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There are 5^2=25 possible outcomes when rolling two such solids.

So the probability of getting a sum of 3 or 8 is \dfrac{2+2+1}{25}=\dfrac15
7 0
4 years ago
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Answer:

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Step-by-step explanation:

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