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Talja [164]
3 years ago
8

What is the vertex of the following graph?

Mathematics
1 answer:
boyakko [2]3 years ago
6 0

The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .

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A mowing company charges $840 plus $17 per hour. Another moving company charges $760 plus $22 per hour. How long is a job that c
Korvikt [17]

Answer: 16 hours

Step-by-step explanation:

The two equations are:

840 + 17x

and

760 + 22x

with x being the amount of hours

840 + 17x = 760 + 22x  

-760

80 + 17x = 22x

-17x

80 = 5x

/5

16 = x

840 + 17(16) = 1,112

760 + 22(16) = 1,112

3 0
2 years ago
Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

#SPJ4

4 0
1 year ago
A strip of wood 78 inches long is to be cut into pieces 3 3/4 inches long. How many pieces can be cut?
Ray Of Light [21]
It is 20 because if u divide 78 by 3.75 ( 3 3/4 ) than equals 20.8
8 0
2 years ago
The coordinates of the midpoint of
Alecsey [184]

Answer: yo mommy a clown

Step-by-step explanation:

7 0
2 years ago
if you have a rectangle with a length of 0.5 x + 10 feet and a width of 6 feet how could you find the area written in its simple
Greeley [361]
<h2>Greetings!</h2>

Answer:

x + 20 = area

Step-by-step explanation:

You need to recall the equation for a rectangle:

Width x Length = Area

So simply plug the values into this:

(0.5x+10) * 6

(0.5x * 6) + (10 * 6)

= 3x + 60

Simplified down by dividing by three:

\frac{3x}{3} + \frac{60}{3} = area

<h3>x + 20 = area</h3>
<h2>Hope this helps!</h2>
3 0
2 years ago
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