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Romashka [77]
3 years ago
14

3/4 x - 21 = 10/4 x + 7/2

Mathematics
2 answers:
vodomira [7]3 years ago
8 0

Answer:  x=-14

Step-by-step explanation:

julia-pushkina [17]3 years ago
6 0

Answer:

x = -14

Step-by-step explanation:

multiply both sides by 4

3x - 84 = 10x + 14

-84 = 7x + 14

7x = -98

x = -14

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Find the inverse of the function
lozanna [386]

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3

\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}

4 0
2 years ago
Look at this angle:<br><br>What is the vertex?<br><br>A) W<br>B) None<br>C) X<br>D) Y​
slava [35]

Answer:

C (x)

Step-by-step explanation:

The Vertex of an angle is the point at which the angle is located on, so in this case the vertex is X.

3 0
3 years ago
What is 7/4 as a mixed number?<br> a. 17/4<br> b. 3/4<br> c. 13/4<br> d. 11/4
USPshnik [31]
\dfrac{7}{4}=\dfrac{4+3}{4}=\dfrac{4}{4}+\dfrac{3}{4}=\boxed{1\frac{3}{4}}\to\fbox{c.}
3 0
3 years ago
Use the reciprocal property to solve for x:
Natali5045456 [20]

Answer:

The answer is 1800.

Step-by-step explanation:

3/540 = 10/x

3x = 540 × 10

x = 5400/3

x = 1800

6 0
3 years ago
How do you solve 2/7m -1/7 = 3/14
Mars2501 [29]

the only thing you need to do is separate m:

2/7m= 3/14 + 1/7

2/7m= 5/14

m= (5/14)/(2/7)

m= 5/14 × 7/2

m= 35/28

m= 5/4

4 0
2 years ago
Read 2 more answers
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