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4 years ago

What is the equation of the graph

Mathematics

1 answer:

balandron [24]4 years ago

4 0

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

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Marrrta [24]

<h2>It is an obtuse angle.</h2>

Step-by-step explanation:

Obtuse: An obtuse angle is an angle more than $90^\circ$ but less than $180^\circ$ .

Example : $110^\circ$ , $135^\circ$ etc.

Acute : An acute angle is an angle less than $90^\circ$

Example : $30^\circ$ , $45^\circ$ etc.

Straight : A straight angle is $180^\circ$ .

Right: A right angle is $90^\circ$ .

Since the angle is more than $90^\circ$ but less than $180^\circ$ . So, it is an obtuse angle.

4 0

4 years ago

The two box plots show the data of the pitches thrown by two pitchers throughout the season. Which statement is correct? Check a

Zepler [3.9K]

Answer:

Doesn’t show image

Step-by-step explanation:

4 0

3 years ago

The Bailey family and the Howard family each used their sprinklers last summer. The water output rate for the Bailey family's sp

Nady [450]

Answer:

Running time of Bailey's family sprinkler = x = 20 hrs

Running time of Howard's family sprinkler = y = 35 hrs

Step-by-step explanation:

We will make equations of time and flow of each family's sprinkler.

1. Time equation will be:

Let x is the time of Bailey's family sprinkler

Let y is the time of Howard Family Sprinker

Thus equation from the given information is both sprinklers ran for 55 hours.

$x+y=55$ (eq:1)

2. Flow of water equation will be derived from the fact that if we multiply the flow of one sprinkler with its time it will give the total flow of water

thus: Flow of Bailey's family sprinkler = $x*20$

and Flow of Bailey's family sprinkler = $y*35$

Total flow is given = 1625

Therefor adding the two equations will give total flow equation

$(x*20) + (y*35) = 1625$

$20x+35y=1625$ (eq:2)

Now we have two equations and two variables x and y and we will use the substitution method to solve them.

Using equation one

$x+y=55$

$x=55-y$

Using value of x in second equation

$20x +35y = 1625$

Substituting value of x

$20(55-y)) + 35y = 1625\\1100-20y+35y=1625\\1100+35y-20y=1625\\15y=1625-1100\\15y=525\\y=525/15\\y=35$

Now putting the value of y in equation # 1

$x+y=55\\x+35=55\\x=55-35\\x=20$

Thus the answers are:

Running time of Bailey's family sprinkler = x = 20 hrs

Running time of Howard's family sprinkler = y = 35 hrs

8 0

3 years ago

Read 2 more answers

Which of the following vectors are orthogonal to (-1,3)?

snow_tiger [21]

Any vector that is a multiple of (3, 1) will be orthogonal. These include
.. A (-6, -2)
.. D (3, 1)

_____
The dot-product of these with (-1, 3) is zero:
(-6*-1 +-2*3) = 6 -6 = 0
(3*-1 +1*3) = -3 +3 = 0

You can make a vector orthogonal to a 2-D vector by swapping the coordinates and negating one of them. When you swap the elements of (-1, 3) you get (3, -1). It is usually convenient to negate the one that is already negative, so that would give you (3, 1) as the orthogonal vector.

7 0

3 years ago

The fourth term of a geometric series is 10 and the seventh term of the series is 80. Find the sum to 10 terms of the series.

erica [24]

The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.

<h3>How to find sum of terms in geometric series?</h3>

aₙ = arⁿ⁻¹

where

a = first term
r = common ratio
n = number of terms

Therefore,

10 = ar³

80 = ar⁶

Hence,

a = 10 / r³

80 = (10 / r₃) r⁶

80 = 10r³

r³ = 80 / 10

r = ∛8

r = 2

a = 10 / 2³

a = 10 / 8 = 5 / 4

The sum of 10 terms can be calculated as follows:

Sₙ = a(rⁿ - 1) / r - 1

Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1

Sₙ = 5 / 4 (1024 - 1) / 1

Sₙ = 1.25(1023)

Sₙ = 1278.75

learn more on geometric series here: brainly.com/question/13592208

5 0

2 years ago