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DENIUS [597]
3 years ago
12

7 2/3-(-4 1/4) calculate each diffrence.estimate before calculating

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

11 11/12

Step-by-step explanation:

its approximately 12

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Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
lianna [129]

Answer:

<h2><em>B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>2(b)+2(3c)</em></h2>

Step-by-step explanation:

Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;

Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.

= 2(b+3c)

=  2(b)+ 2(3c)

= 2b +2*3*c

= 2b +6c

It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.

<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>

6 0
3 years ago
Solve the inequality. Graph the solution set and write it in interval notation 4x-4&lt;6x+4
makvit [3.9K]

do it step by step will it work yes

6 0
2 years ago
Pls, can you help me? thx.<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B3%7D%29%20%5Cgeqslant
Veseljchak [2.6K]

For x between -\pi and \pi, we have

  • \cos x=\frac{\sqrt2}2=\frac1{\sqrt2} when x=\pm\frac\pi4;
  • \cos x=1 for x=0; and
  • \cos x=0 for x=\pm\frac\pi2

\cos x is continuous over its domain, so the intermediate value theorem tells us that

\cos x\ge\frac{\sqrt2}2

is true for -\frac\pi4\le x\le\frac\pi4.

For all x, we take into account that \cos x is 2\pi-periodic, so the above inequality can be expanded to

-\dfrac\pi4\le x+2n\pi\le\dfrac\pi4

where n is any integer. Equivalently,

-\dfrac\pi4-2n\pi\le x\le\dfrac\pi4-2n\pi

To get the corresponding solution set for

\cos\left(x+\dfrac\pi3\right)\ge\dfrac{\sqrt2}2

simply replace x with x+\frac\pi3:

-\dfrac\pi4-2n\pi\le x+\dfrac\pi3\le\dfrac\pi4-2n\pi

\implies\boxed{-\dfrac{7\pi}{12}-2n\pi\le x\le-\dfrac\pi{12}-2n\pi}

7 0
3 years ago
Y= 3/8 (x+4) SOLVE FOR X<br><br> Please show your work. I'm really confused about this.
Lemur [1.5K]

\dfrac{3}{8}(x+4)=y\ \ \ \ |\text{multiply both sides by 8}\\\\3(x+4)=8y\ \ \ \ |\text{use distributive property}\\\\(3)(x)+(3)(4)=8y\\\\3x+12=8y\ \ \ \ |\text{substract 12 from both sides}\\\\3x=8y-12\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{x=\dfrac{8y-12}{3}\to y=\dfrac{8}{3}y-4}

6 0
3 years ago
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sweet-ann [11.9K]
Okay so what you would do is 1.5 multiply by 3 find out the answer there and then subtract the 5 cups with the answer.

so if it is 1.5×3 that would equal ____ then you would subract 5 - ___ then there is your answer
5 0
3 years ago
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