What are the domain restrictions of q^2+7q-8/q^2-3q-4
A) q = 1 and q = -8
B) q = -1 and q = 8
C) q = -1 and q = 4
D) q = 1 and q = -4
Answers
Answer:
I looked it up it is C x=-1 and x=4,Download "" from app store or play store, you can just take a picture and the answer will pop up
Step-by-step explanation:
The given function is not defined for [tex]q=-1,q=4[/tex]
Option C is correct.
Domain of function:It is defined as the all input values for which function is defined.
Given function are,
[tex]\frac{q^{2}+7q-8 }{q^{2} -3q-4}[/tex]
Above function is not defined where denominator of function will be zero.
[tex]q^{2}-3q-4=0\\ \\q^{2}-4q+q-4=0\\ \\q(q-4)+1(q-4)=0\\\\(q+1)(q-4)=0\\\\q=-1,q=4[/tex]
Thus, given function is not defined for [tex]q=-1,q=4[/tex]
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Related Questions
The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill
Answers
Answer:
144
Step-by-step explanation:
1872 divided into bags with 13 each is
1872/13= 144 bags to fill
1)50% of 60 2) 8 out of 80 is what percent?
Answers
Answer:)
1) 50% of 60 is 30
2) 8 out of 80 is 10%
You're welcome :)
Answer:1. 30
2. 10%
Step-by-step explanation:
Solve for x: 2x – y = (3/4)x + 6.
(a) (y + 6)/5,
(b) 4(y + 6)/5,
(c) (y + 6),
(d) 4(y - 6)/5.
Answers
Answer:
its b
Step-by-step explanation:
2x -y = (3x+24)/4
8x - 4y= 3x + 24
5x=4y+24
5x=4(y+6)
x=4(y+6)/5
lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. if the airplane is 75 feet long how many inches long should the model be?
Answers
Answer:
Its 10
Step-by-step explanation:
help please :DDDD kinda confused
Answers
Answer:
7 to the 7th power
Step-by-step explanation:
To get your answer you add your two exponents together and that becomes your new exponent. Your base number stays the same..
The answer is 7 ⁷
Step-by-step explanation: 7 ⁴ is 343 and 7 ³ is 2401 so if you multiply those together it is
823,543. 7 ⁷ in total is 823,543
-3y + 12 = -8x
anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form
Answers
Subtract 12 on both sides
-3y = -8x - 12
Divide by -3 on both sides
y = 8/3 + 4
Change original equation to Ax + By = C
-3y + 12 = -8x
Switch -8x and 12
-3y + 8x = -12
(ps, I haven’t done this kind of math in a long time )
Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.
Answers
The lower bound is the minimum amount that would round up to the estimated value
3.8kg, measured to the nearest 100g
The degree of accuracy is to the nearest 100g
100/2 = 50g (0.05kg)
Lower bound 3.8 - 0.05 = 3.75kg
Therefore the least amount of candy you could have in the bag is 3.75kg
Celina and Richard spend a certain amount of money from their money box each month to buy plants.
The table shows the relationship between the amount of money (y) remaining in Celina's money box and the number of months (x):
Function 1:
Numbers of Month Amount Remaining (dollars
(x) (y)
1 20
2 18
3 16
4 14
The equation shows the relationship between the amount of money, y, remaining in Richard's money box and the number of months, x:
Function 2:
y = −6x + 20
Which statement explains which function shows a greater rate of change? (1 point)
A.) Function 2 shows a greater rate of change, because Richard spends $20 each month and Celina spends $6 each month.
B.) Function 1 shows a greater rate of change, because Celina spends $6 each month and Richard spends $14 each month.
C.) Function 1 shows a greater rate of change, because Celina spends $2 each month and Richard spends −$6 each month.
D.) Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.
Answers
Answer:
Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.
Answer:
D) took test
Step-by-step explanation:
The figure below is made up of a square with height, h, units and a right triangle with height, h units, and a base length, b units.
The area of this figure is 80 square units.
Write an equation for the area of the shape below.
Answers
Answer:
Step-by-step explanation:
A = 12 × 16 + (1/2)(12 + 8)(10) = 292 units²
The Equation for Area of figure is area of Figure, h² + 1/2(h)(b) = 80
What is Area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given:
We have the figure consist of one rectangle and one right triangle.
Now, Area of Figure,
=Area of rectangle + area of Triangle
= length x width + / x base x height
= 16 x 12 + 1/2 x 10 x 20
= 192+ 100
=292 unit²
and, if the square with height, h, units and a right triangle with height, h units, and a base length, b units.
Then, area of Figure= h² + 1/2(h)(b) = 80 square units.
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If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a 4? (Your answer must be in the form of a reduced fraction.)
Answers
Answer:
12/13
Step-by-step explanation:
A standard deck of cards has four suites
Total number of cards = 52
Total number of cards which are 4 is = 4
The probability that the card selected is 4 = 4/52 = 1/13
S, the probability that the selected card is not a 4 = 1 - (1/13 )= 12/13
What is the equation of the line with a y-intercept of -10 and a slope of 3?
A.y = -102 - 3
B.y=-10x +3
C.y= 3x - 10
D.y= 3a + 10
Answers
Answer:
c
Step-by-step explanation:
slope is 3 and y intercept is -10 so y=3-10
1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?
Answers
Answer:
3: cz
Step-by-step explanation:
Answer:
1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms
2.)161
3.)cz
Step-by-step explanation:
2.) 81^2-80^2
(81+80)(81-80)
161x1
161
3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz
Hope this helps, hope your call goes well :)
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
please answer
Answers
Answer:
Answer: -1
Step-by-step explanation:
The Polynomial Remainder Theorem
It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial:
[tex]f(x)=x^3+x^2+x+1[/tex]
And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.
Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.
Find:
[tex]f(1)=1^3+1^2+1+1[/tex]
f(1)=4
Thus, x=1 is not a zero of f(x)
Now, find:
[tex]f(-1)=(-1)^3+(-1)^2+(-1)+1[/tex]
[tex]f(1)=-1+1-1+1=0[/tex]
Thus, x=-1 is a zero of f(x)
Answer: -1
I need help pls !!!!!
Answers
Answer:
a=5
Step-by-step explanation:
right angel=90%
90-52=28
28-3=25
5(5)=25
hope this helps
Answer:
a=7
Step-by-step explanation:
90=52+5a+3
90=55+5a
35=5a
/5
a=7
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
Answers
Answer:
n>8Step-by-step explanation:
Step one:
given data
needed amount= $80
the amount already saved= $8
earnings per hour= $9
let the number of hours worked be n
and let y represent the total
the situation represented linearly is
y=mn+c
Step two:
substituting our data to find n
9n+8>80
9n>80-8
9n>72
divide both sides by 9
n>72/9
n>8
Therefore he must work a minimum of 8houees
Carly is doing a science experiment breeding mice. She starts out with 2 mice and they
are supposed to double every week. How many mice will she have after 4 weeks?
Answers
Answer:
16
Step-by-step explanation:
Week one: 2
Week two: 4
Week three: 8
Week four: 16
Every week just multiply the number you have by two and you will get the answer! Hope this helps!
please answer correctly
will mark brainlest 1hour to complete
Answers
Answer:
its (0, 0) because the line goes through thex and y intercept
Answer:
2, 0.15
Step-by-step explanation:
help me is this please
Answers
Answer:
36/100
Step-by-step explanation:
easy
NEED HELP ASAP ! answers !
Answers
Answer:
92 degrees
Step-by-step explanation:
Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.
Part I:
How much money will you save buying the iPad on sale?
Part II:
What is the final cost of the iPad when it is on sale?
Answers
part 2. is 360 dollars
Part 2: 90 dollars is the amount you pay
find the unit rate. $46.54 for 5 hours
please answer and explain :)
Answers
Answer:
er
Step-by-step explanation:
The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what will the price be in a year, after the increase?
$
Answers
$3.42
Take the original price and multiply by 1.14
Explanation: 1.14 comes from the whole (1) of the orange juice at the time plus the percent (14% ---> .14).
Which expression is equivalent to 6x6 + 12x + 5 ?
A.(2x+1)(3x+5)
B.(2x+5)(3x-1)
C.(2x-1)(3x-5
D.(2x-5)(3x-1)
Answers
Answer:
Step-by-step explanation:
None of these are correct. Is the equation 6x^6+12x+5 correct?
Question in picture solve
Answers
Answer:
Domain: -2, 0, 3, 5
Range: 5, 4, 6, -7
Step-by-step explanation:
The domain is all the values of x and the range is all the values of y.
through (1, 2), slope = 7
Write the equation of a line in slope-intercept and standard form.Given 1 point and a slope
Answers
Answer:
The equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
Step-by-step explanation:
Given that
Slope of line: 7
Point : (1,2)
Slope-intercept form of equation of line is given by:
[tex]y = mx+b[/tex]
Here m is the slope and b is y-intercept.
Putting the value of slope
[tex]y = 7x+b[/tex]
To find the value of b, we have to put the point in the equation
[tex]2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5[/tex]
So the equation will be:
[tex]y=7x-5[/tex]
The standard form of equation of line is:
[tex]Ax+By = C[/tex]
To convert the equation in standard form, subtracting 7x from both sides
[tex]y-7x = 7x-5-7x\\-7x+y = -5[/tex]
Hence, the equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is 7x - y = 5.
To find the equation of a line in slope-intercept and standard form.
First, we can write the equation in point-slope form. The point-slope formula states:
(y − y₁) = m (x − x₁)
Where m is the slope and
(x1, y1) is a point the line passes through.
Substituting the values from the problem gives:
(y − 2) = 7(x − 1)
Now, we need to convert to standard form.
The standard form of a linear equation is:
Ax + By = C
where, if at all possible,
A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
We convert as follows:
y − 2 = (7 × x) − (7 × 1)
y − 2 = 7x − 7
−7x + y − 2 = − 7
Adding 2 in both side.
−7x + y − 2 + 2 = − 7 +2
-7x + y = -5
7x - y = 5
Therefore, the equation of a line in slope-intercept and standard form is 7x - y = 5.
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[Congress shall have the power] To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof. Which phrase in this passage signifies implied powers? foregoing Powers Government of the United States necessary and proper Department or Officer
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
necessary and proper
Will give brainliest if I can.
Answers
Answer:
x=5
y=-5
Step-by-step explanation:
Y=-5
Step By Step
a car travels 15 miles in 15 minutes how many miles does it travel in 2 hours
Answers
Answer:
120 miles in 2 hour
Step-by-step explanation:
One hour has 4 times 15 minutes, so you need to do 15 miles x 4 and that time 2 because its 2 hours.
Shane and abha earned a team budget that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did. Write an inequality to determine the number of cans , s, that Shane could have collected
Answers
Answer:
s ≥ 911
Step-by-step explanation:
Let
s = number of cans Shane could collect
Abha collected 178 more cans than Shane did.
Abha = s + 178
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling
Number of cans collected by Shane + number of cans collected by Abha ≥ 2000
s + 178 + s ≥ 2000
2s + 178 ≥ 2000
2s ≥ 2000 - 178
2s ≥ 1,822
Divide both sides by 2
s ≥ 1,822 / 2
s ≥ 911
Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.
Answers
Answer:
40 minutes
Step-by-step explanation:
30 minutes ÷ 12 laps = 2.5 minutes per lap
2.5 minutes per lap * 16 laps = 40 minutes