G(x) = x2 + 8x +12 over x² – 2x-8
a. For what value(s) of x is the function (x) undefined? Explain your reasoning and identify the domain
of the function G(x) in interval notation
Answer:
The domain of the function in interval notation is -∞ < x < -2, -2 < x < 4, x > 4
Step-by-step explanation:
The given function is presented as follows;
[tex]G(x) = \dfrac{x^2 + 8 \cdot x + 12}{x^2 - 2 \cdot x - 8}[/tex]
The function given in rational format will not be defined when the value of the denominator = 0
Therefore, for the function to be undefined, we have;
x² - 2·x - 8 = 0
(x - 4)·(x + 2) = 0
Which gives;
x = 4, or x = -2
Therefore, the function is undefined for x = 4 and x = -2
The domain of the function in interval notation = -∞ < x < -2, -2 < x < 4, x > 4
Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Step-by-step explanation:
The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.
To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:
y - (-3) = 4(x - 2)
Now, simplify:
y + 3 = 4x - 8
Next, bring all the terms to the left side of the equation to get the standard form:
4x - y = 8 - 3
Finally, simplify the constant term:
4x - y = 5.
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Find the value of x that makes the equatlon true:
11x=143
Answer:
11(13)=143
Step-by-step explanation:
i divided 143 with 11 and got 13
your welcome for the help :D
The circle graph shows a family monthly budget what is the minimum household budget ?
Answer:
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If the circle graph shows a family monthly budget then the minimum household budget is $4985.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to find the minimum houehold budget.
Clothing=$150
Entertainment=$110
Transportation=$500
College saving=$225
Retirement saving=$600
Gasoline=$300
Utilities=$200
Emergency savings =$75
Taxes=$900
Housing=$1500
Food=$425
The household budget is sum of all these.
Minimum household budget ==$150+$110+$500+$225+$600+$300+$75+$200+$900+$1500+$425
=$4985
Hence, the minimum household budget is $4985.
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help
4. Which list shows the integers in order from least to greatest?
A) -8, -5, 0, 2, 6
B) 0, 2, -5, 6, -8
C) -5, -8, 0, 2, 6
D) 0, -3, -5, 2, 6
What is the slope of y = x + 5
What is the period of the graph?
Answer:
3 pi.
Step-by-step explanation:
THANK YOU FOR GETTING ME UP TO A B IN MATH
Answer:
WE ARE GLAD TO HELP
GOOD JOB
what is the simplified square root of -20?
Answer:
do you mean -2[tex]\sqrt{5}[/tex]?
Step-by-step explanation:
2^(x+1) X 3^(x-2) = 8
solve the equation.. help me plizzzz
Answer:
X = 2
Step-by-step explanation:
If you need an step by step explanation, leave a comment! :D I'll write it here.
Answer:
Answer is file
Step-by-step explanation:
Can someone help me with this?
Which product is irrational?
O A. 13.15
O B.
√2./8
O C. 15.15
OD. 15.20
Find the 97th term of the arithmetic sequence 25,29,33
In the figure shown, which theorem can be used to show that △ABC ≅ △DEF?
Answer:
option C, AAS triangle congruence theorem
hope it helps you
AAS triangle congruence theorem is used to show ΔABC≅ΔDEF
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find which theorem is used to show ΔABC≅ΔDEF
The two triangles are congruent.
AB=DE
BC=FE
CA=DF
and ∠A=∠D
∠B=∠E
If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle
By AAS, When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.
Hence AAS triangle congruence theorem is used to show ΔABC≅ΔDEF
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what is the value of the expression
1/2(12÷3)3/5
Answer:
= 6/5 or 1 1/5 or 1.20
Step-by-step explanation:
= 1/2(12÷3)3/5
= 1/2 (4) 3/5
= 2 x 3/5
= 6/5
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Can somebody plz answer both questions! only if u done it before thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD
Answer:
48% is A and since i like quarters more than nickels and dimes its c for 30
Step-by-step explanation: Because I said so.
Answer:
To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.
For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.
Describe the slope of the line then find the slope plzzz help I’m bad at math
Gavin wants to save for a car that costs $12,000. He puts $1,000 into a bank account earning 3% interest compounded annually. The function to predict how long it will take him to save for the car is where t is the time in years.
What is the y-intercept of this function?
Type your answer in the box.
You may use numbers, symbols, and/or text in your answer.
Answer:
3,000
Step-by-step explanation:
Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28
Answer:
x=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
just find the arithimetic sequence and count backwards have a great day
what are the three products of celullar respiration
Answer:
Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.
Step-by-step explanation:
What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!
Answer:
The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.
Step-by-step explanation:
The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.
Hope it helped!!
Rice sold
GH 56.00 per bag.
trader bought
some bags of
rice and paid GH 1,344.00, how
bags
of rice
did the
many
trader buy?
Answer:
24 bags of rice
Step-by-step explanation:
for these kinds of problems you just have to divide.
1,344.00 ÷ 56.00 = 24
9514 1404 393
Answer:
24 bags
Step-by-step explanation:
Let b represent the number of bags of rice. Then their total cost is ...
56b = 1344
b = 1344/56 = 24 . . . . . divide by the coefficient of b
The trader bought 24 bags of rice.
PLZ ANSWER ASAP ONLY IF YOU ARE CORRECT!!!
Answer:
r=-35
Step-by-step explanation:
What is the measure of angle 1?
86°
88°
90°
92°
Answer:
B: 88
Step-by-step explanation:
Answer:
hi the answer is b: 88
Step-by-step explanation:
hope this helped
A principal of $7,854 is placed in an account that earns 6% interest. If the interest is compounded monthly, how much money will be in the account at the end of 22 years?
Answer:
$124407.36
Step-by-step explanation:
Simple interest formula: I = P x R x T / 100
22 x 12 months = 264 months (=22 years)
7854 x 6 x 264 / 100 = $124,407.36
A bacteria culture doubles every hour. If there are 15000 bacteria now, how many bacteria were there 6 hours ago? Use an exponential equation and answer to nearest bacterium
Urgent !! To solve a system of equations into y2. Given the following information, find the solution to the system of equations. i. The y-intercepts for the lines are (0,3) and(0,-7) ii. Line 1 has a slope of -3 iii. Line 2 has a slope of 2
Answer:
i think 2 if not sorry
Step-by-step explanation:
it makes the most scene to me
25, of a box of multi-color cap erasers are green. If there are 3 green erasers, how many erasers are in the box?
Answer:
0.75
Step-by-step explanation:
'Percentage' is obtained by multiplying 3 by 25%.
25% × 3 =
(25 ÷ 100) × 3 =
(25 × 3) ÷ 100 =
75 ÷ 100 =
0.75;
PLEASE HELP! I'M STUCK!
THE DIFFERENCE OF TWO NUMBERS IS 17. IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)
difference means subtracting. if thr greater number is 32 then what minus 32 equals 17? 32-15=17
Answer:
15
Step-by-step explanation:
think the number is x
according to the question
32-x=17
-x=17-32
-x=-15
x=15 (divide both side by -1)