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2 years ago

Solve. 4 x + 6 < − 6 Please show ur work

Mathematics

2 answers:

ASHA 777 [7]2 years ago

5 0

Answer:

x < -3

Step-by-step explanation:

First subtract 6 from both sides to get:

$4x < -12$

Then divide both sides by 4 to isolate x and then we get:

$x < -3$

goldfiish [28.3K]2 years ago

3 0

Answer: x < -3

Step-by-step explanation:

4x + 6 < -6

(Subtract 6 from both sides to isolate the x value)

4x < -12

(Divide by 4 to once again isolate the x value)

X < -3

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

3 0

3 years ago

What number is equivalent to 15 and 25

Gwar [14]

Answer:

yo are you talking about like absolute value? then it's | -15 | and | -25 |

Step-by-step explanation:

3 0

2 years ago

Use the Order of Operations to simplify: 3(8 - 4*5)

aleksklad [387]

Answer:

Step-by-step explanation:

$3\left(8-4\cdot \:5\right)\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-4\cdot \:5\right)\::\quad -12\\=3\left(-12\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(-12\right)\:\\:\quad -36$