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sveta [45]
3 years ago
12

Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step

4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

Identity element property

Step-by-step explanation:

The property that justifies the step 3 is the identity element property.

Mathematically, the identity element is that number such that performing an arithmetic operation such as addition or multiplication with the number gives back the number we started with

For addition, the identity element is 0

while for multiplication, the identity element is 1

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The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?
zheka24 [161]

Answer:

10^{0.4785+1.468x}=y

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: log(y)=0.4785+1.468x. And generally a logarithm can be written in the form log_ba=c which can then be rewritten as b^c=a, but since the log has no base, it's assumed to be 10. So in this case you have the equation:

log_{10}y=0.4785+1.468x, which can then be written in exponential form as:

10^{0.4785+1.468x}=y

8 0
1 year ago
Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the
GalinKa [24]
Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).
3 0
3 years ago
Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line con
almond37 [142]

Answer:

y=-x+r

Step-by-step explanation:

we know that

The tangency point on the x-axis is  (r,0)

The tangency point on the y-axis is  (0,r)

Find the slope of the line containing the points of tangency

m=\frac{0-r}{r-0}=-1

Remember that the equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

m=-1

b=r

substitute

y=-x+r

4 0
3 years ago
6.
klemol [59]

Answer:

d

Step-by-step explanation:

6 0
3 years ago
Whoever can answer this will get brainlyest
azamat

Answer:

The proportion is \frac{35}{108} = \frac{x}{84}, and the length of the unknown side is \frac{245}{9} or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is \frac{35}{108}. MK and KF are corresponding sides, and their proportion is \frac{x}{84} in which x represents the missing side. The proportions are equal, so \frac{35}{108} = \frac{x}{84}. Multiply both sides by 84 to isolate the variable, and you'll get x = \frac{35*84}{108}, which is \frac{2940}{108} or \frac{245}{9}.

6 0
2 years ago
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