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antiseptic1488 [7]
3 years ago
15

How do you convert fractions to a specific base with exponents? Is there a specific way or equation for this? For example, i nee

d to solve 1/2^3-x=2^3x-7 but first i have to make the bases the same. I'm not sure how to get 1/2 equal to 2 with exponents
Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

\frac{1}{2}  =  {2}^{ - 1}

Step-by-step explanation:

remember the property

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

then u get equation with same base

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Find the estimates of x^2-x-2=3
Julli [10]

Answer:

x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79

Step-by-step explanation:

Given

Quadratic equation is

x^2-x-2=3\\x^2-x-5=0

Roots of the quadratic equation ax^2+bx+c=0 are

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

So, for the given equation roots are

x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79

5 0
3 years ago
A clothing company makes shirts in several sizes. The smallest shirt size weighs
astraxan [27]

Answer:

25.375 ounces

Step-by-step explanation:

To find the weight of the largest shirt size, we need to find the value that is 1 3/4 times as much as the smallest shirt size. To do this, we need to multiply the two numbers (14.5 x 1 3/4). In order to make this process easier, we can convert 1 3/4 into a decimal, which would be 1.75. After that, we just multiply; 14.5 x 1.75 = 25.375. Your answer is 25.375 ounces.

6 0
3 years ago
8.35 &lt; 3x +18.75<br> Pls help
zzz [600]

Step-by-step explanation:

8.35 < 3x + 18.75

3x + 18.75 > 8.35

3x > 8.35 - 18.75

3x > -10.4

x > -3.47

5 0
3 years ago
11. In a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16. What is the mean for
ahrayia [7]

Answer:

11

Step-by-step explanation:

Given that in a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16

i.e. the data entries are

10,10,10,10,10,16

Sum = 66

No of items n = 6

Average = sum/no of entries

=\frac{66}{6} \\=11

Average is 11.

mean of this sample is 11

8 0
3 years ago
Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3
natali 33 [55]

Answer:

C : STEP 3

Step-by-step explanation:

JUST DID THIS EQUATION AND GOT IT RIGHT HOPE THIS HELPS

4 0
3 years ago
Read 2 more answers
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