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alukav5142 [94]
3 years ago
13

Consider the functions f(x) = and g(x) = + 6. What are the ranges of the two functions?

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

it is 0 6

Step-by-step explanation:


Karo-lina-s [1.5K]3 years ago
5 0
The correct question in the attached figure

we have that

<span>f(x) = (4/5)^x
g(x) = (4/5)^x + 6

using a graph tool
see the attached figure

we know that
f(x) </span>has the horizontal asymptote y = 0
g(x) has the horizontal asymptote y = 6

therefore
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)

the answer is
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)

see the attached figure

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Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

  • slope = m = -5/4
  • point = (8, -9)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

y+9=\frac{-5}{4}\left(x-8\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y+9=\frac{-5}{4}\left(x-8\right)

subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

y=-\frac{5}{4}x+1

Therefore, the equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

7 0
3 years ago
3) The Buendorf family has agreed to let their children get some animals. The kids said they
bezimeni [28]

Answer:

The possible number of goats is 6 and the possible number of chicken is 24

Step-by-step explanation:

Let

chicken=c

Goat=g

the number of chickens could be four times the number of goats

c=4g

Total number of animals=30

c+g=30

Recall, c=4g

So,

c+g=30

4g+g=30

5g=30

Divide both sides by 5

5g/5=30/5

g=6

Recall,

c+g=30

c+6=30

c=30-6

=24

c=24

The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals

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3 years ago
You buy t shirts and hoodies to help support the River bluff high school gators.T shirts cost $20 hoodies cost $35 You spent a t
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Answer:

$130 - ($20+$35) is the equation

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4 years ago
Select all of the linear transformations from R3 to R3 that are invertible. A. Projection onto the xy-plane B. Reflection in the
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Answer: . Rotation about the y-axis by π

Step-by-step explanation:

4 0
3 years ago
Which equation could be used to solve problems involving the relationships between the angles?
Salsk061 [2.6K]

Answer:

B

Step-by-step explanation:

The answer is B I just had this question

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