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tatyana61 [14]
2 years ago
6

What is the solution to the equation below? Round your answer to two

Mathematics
1 answer:
noname [10]2 years ago
5 0

Answer:

D. x=5

The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.

Step-by-step explanation:

Find the domain of the inequality:2x-1\geq 0

Rearrange terms to the left side of the equation:2x\geq 1

Divide both sides of the inequality by the coefficient of the variable:

=> x\geq \frac{1}{2}

The domain of the inequality is:x\geq \frac{1}{2}

Convert logarithm to exponential form:2^{3}=2x-1

Calculate the power:8=2x-1

Rearrange terms to the left side of the equation:-2x= -8-1

Calculate:-2x=-9

Divide both sides of the equation by the coefficient of the variable:x=\frac{-9}{-2}

=> x=\frac{9}{2}

=>x=4.5\\

Round the number: x=4.50

Answer: x=4.50

=> x=5

Read to know more about log equation:

brainly.com/question/16692243?referrer=searchResults

#SPJ10

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the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. what is the coefficient of the squared term i
timama [110]
We know that

case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.

Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1

Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1

the answer is
a=1/9


case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h, 
where (h, k) is the vertex.

Using our vertex, we have:
x=a(y+1)²+2, 
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so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
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a=3
x=3(y+1)²+2

the answer is
a=3

see the attached figure 

3 0
3 years ago
a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second
AleksAgata [21]

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

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