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Blababa [14]
2 years ago
5

Brainliest if correct Solve: 8( 4 - 2^{6} divided by 4)

Mathematics
1 answer:
polet [3.4K]2 years ago
6 0

\huge\text{Hey there!}

\mathsf{\dfrac{8(4 - 2^6)}{4}}

\mathsf{2^6}\\\mathsf{\rightarrow2\times2\times2\times2\times2\times2}\\\mathsf{\rightarrow 4\times4\times4}\\\mathsf{\rightarrow 16\times4}\\\mathsf{\rightarrow \bf 64}

\mathsf{= \dfrac{8(4 - \bf 64)}{4}}

\mathsf{4 - 64}\\\mathsf{\rightarrow \bf -60}

\mathsf{= \dfrac{8(\bf -60)}{4}}

\mathsf{8(-60)}\\\mathsf{\rightarrow \bf -480}

\mathsf{= \dfrac{-480}{4}}\\\\\mathsf{\rightarrow \dfrac{-480\div4}{4\div4}}\\\\\mathsf{\rightarrow- \dfrac{\bf 120}{1}}\\\\\mathsf{\rightarrow \bold{-120}\div 1}}\\\\\mathsf{\rightarrow \bf -120}

\huge\text{Therefore, your answer is: \boxed{\mathsf{-120}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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If g(x) = x^2 + 6x with x ≥ -3, find g ^-1(0).
Dvinal [7]

Answer: 0

<u>Step-by-step explanation:</u>

g(x) = x² + 6x   ; x ≥ -3

To find the inverse, swap the x's and y's and solve for "y":

    x = y² + 6y

x + 9 = y² + 6y + 9   <em>add 9 to both sides to create a perfect square</em>

x + 9 = (y + 3)²

+/-\sqrt{x+9} = y + 3   <em>take square root of both sides</em>

-3 +/-\sqrt{x+9} = y    ; y ≥ -3

g⁻¹(0) = -3 +/-\sqrt{0+9}

        = -3 +/-\sqrt{9}

        = -3 ± 3

        = -3 + 3   ,   -3 - 3

        =     0      ,      -6

since the restriction is: y ≥ -3, then -6 is not valid

4 0
3 years ago
Find X. <br> pls &amp; thank you :)
diamong [38]

Answer:

<u>The correct answer is D. 69</u>

Step-by-step explanation:

Let's recall that if an exterior angle has its vertex where two rays share an endpoint outside a circle, the measure of that exterior angle is found by dividing the difference between the measures of the intercepted arcs by two.

Therefore, we have:

x = (Measure of arch CD - Measure of arch BD)/2

Replacing with the real values:

x = (210 - 72)/2

x = 138/2 = 69°

<u>The correct answer is D. 69</u>

5 0
4 years ago
Which is equivalent
arlik [135]

Answer:

D  8√(10) ^3x

Step-by-step explanation:

We have

sqrt(10) ^ (3/4x)

We can rewrite the sqrt as ^1/2

10 ^ (1/2) ^ (3/4x)

We know that a^b^c = a^(b*c)

10 ^(1/2 *3/4x)

10 ^(3/8 x)

The numerator is the power

The denominator is the root

8√(10) ^3x

8 0
3 years ago
A triangle has side lengths of (10x+7y)(10x+7y) centimeters, (3x+3z)(3x+3z) centimeters, and (8z+10y)(8z+10y) centimeters. Which
lora16 [44]

Answer:

(109x²+140xy+18xz+49y²+160yz+73z²) centimeters

Step-by-step explanation:

perimeter = sum of all sides

side A = (10x+7y)(10x+7y)

= 100x² +70xy +70xy +49y²

= (100x² +140xy +49y²) centimeters

side B = (3x+3z)(3x+3z)

= 9x² +9xz +9xz +9z²

= (9x² +18xz +9z²) centimeters

side C = (8z+10y)(8z+10y)

= 64z² +80yz +80yz +100y²

= (64z² +160yz +100y²) centimeters

Perimeter = 100x²+140xy+49y² + 9x²+18xz+9z² + 64z²+160yz+100y²

collect like terms

= 100x² +9x²+140xy+18xz+49y²+160yz+9z²+64z²

= (109x²+140xy+18xz+49y²+160yz+73z²) centimeters

7 0
3 years ago
Read 2 more answers
Please help! I am stuck!
Mrac [35]

the answer is D the last one,

the reason is just that any negative number is automatically smaller than a positive number. so -2.8 is smaller than even the smallest decimal possible as long as that decimal is positive. 1.4 is actually about 3 time more that -2.8

(both are still freezing cold)

5 0
3 years ago
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