Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
[tex]\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}[/tex]
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of [tex]\frac{f(x)}{g(x)}[/tex]).
Therefore, range of the function will be (-∞, ∞).
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
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The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
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tell whether the slope is positive or negative. then find the slope.
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
Semih Bey, her katı eşit yükseklikte olan bir binanın -2. katından asansore binerek 5. kata çıkıyor Semih Bey toplamda3150 santimetre yüksemiştir buna göre binanın her bir katının yükseklığinin kaç santimetre olduğunu bılunuz.
Hellohello, if you able to help me then please do. (:
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
7x(15+5) plz help me solve this question by formula BODMAS
The brackets are first, then the multiplication
Meg and Theo each thought of five numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg'snumbers? A Each of Theo's numbers is 2 more than Meg's corresponding number, because Theo adds 2 more than Meg to get the next number. B Each of Theo's numbers is half of Meg's corresponding number, because Theo adds half as much as Meg to get the next number. C Each of Theo's numbers is 4 more than Meg's corresponding number, because Theo adds 4 each time to get the next number. D Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Answer:
D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Step-by-step explanation:
Meg = 0, 2, 4, 6, 8
Theo = 0, 4, 8, 12, 16
Second number of Theo is 4 which is double of 2 (Meg second number)
This applies to the third, fourth and fifth number of Theo
Therefore,
Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
please help with this vocab will mark brainliest
Answer:
1. Semicircle
2. Arc Length
3. Minor arc
4. Arc Measure
5. Circumference
6. Diameter
7. Radius
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
If the radius of a circle is 10cm, what will be the area of the circle?
Answer:
314
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
is 1 23/36 the same thing as 263/144 ? ill give brainiest :)
Answer:
no
Step-by-step explanation:
[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]
Can someone help me please
Answer:
15
Step-by-step explanation:
Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!
If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?
A. Y= 144/x
B. Y= 16/x
C. Y= x/16
D. Y= x/144
Answer:
A. Y = 144/x
Step-by-step explanation:
Inversely means y = 1/x
If y = 48, when x = 3
so 144/3 = 48
Therefore the answer is A
If the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
What is a function?A relation is a function if it has only One y-value for each x-value.
If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.
To find k, we can use the given values of y and x:
y = k/x
48 = k/3
k = 144
Now that we know k, we can write the function that represents the relationship between x and y:
y = 144/x
Therefore, if the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
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3x = -6у + 3
2y = -x+1
Answer:
3x = -6у + 3 and 2y = -x+1 are the same
i dont know what the question is but this should help. they are the same line on a graph
Step-by-step explanation:
3x = -6y + 3
2y = -x + 1 adding x on both sides and subtracting 2y on both sides
x = -2y + 1 multiply by 3
3x = -6y + 3
PLEASE HELP IM DESPRATE AND I CANT GET IT
Answer:
1
Step-by-step explanation:
1. 1
if you find -4 on the x-axis, the y value is 1.
what is the 3rd page?
Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
A = 6x – 2
B = 4x + 48
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
Mark ran for 15 minutes. How many seconds did Mark run? (1 minute = 60 seconds) seconds
Answer:
900
Step-by-step explanation:
Answer:
900 seconds
Step-by-step explanation:
Find the missing side of this right triangle.
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
Help me with this!!!
Answer:
yes
Step-by-step explanation:
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
Please help! In the diagram below, lines l and k are parallel.
What is the measure, in degrees, of ∠ABC ?
Answer:
50
Step-by-step explanation:
x+95 = 4x-10 ( alternate angles)
or, 4x -x = 95+10
or, 3x = 105
x= 35
x+95 = 35+95 = 130
130 + ABC = 180 ( linear pair)
or, ABC = 180-130= 50
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters
Answer:
50/100 x X = 1.5
x 100 x100
50x = 150
÷50 ÷50
X = 3
X = 3 liters I am pretty sure
Help!
This is for Patterns, Functions, and Algebra!
Answer:
C.
Step-by-step explanation:
The answer is C
if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B
Answer:
6
Step-by-step explanation:
because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
diagram not drawn to scale
please helppp
Answer:
144?
Step-by-step explanation: