Answer:
x + 2, x ≠ -2
Step-by-step explanation:
Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2. The quotient is x + 2, which in this problem has been named h(x).
The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.
I need to know how to solve for this.
9514 1404 393
Answer:
use the rules of exponents
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Applying these to the left-side expression, we can simplify it so it looks like the right side expression.
[tex]\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}[/tex]
A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 85 centimeters. What is the height?
Second attempt, please just give me the answer :p
Answer:
75.5 cm
Step-by-step explanation:
S = (a+b)*h/2
h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm
Question 20(Multiple Choice Worth 2 points) (01.02 LC) Which number has a 9 that is one tenth the value of the 9 in 296? 195 409 981 1,956 NO LINKS HELP ASAP
Answer:
409 i would say
Step-by-step explanation:
very sorry is its wrong!!! :(
Answer:
prob d im guessing :^)
Step-by-step explanation:
tell me if i got it right or wrong i will fix if needed
Mai wants to buy a pair of jeans at the mall. The jeans cost $35.00. She has a coupon for that store. She pays $28.00 for the jeans. What was the percent of her discount?
9514 1404 393
Answer:
20%
Step-by-step explanation:
The discount was $35 -28 = $7. As a percentage of the original price, that is ...
$7/$35 × 100% = 20%
Mai's coupon was for a 20% discount.
Question: The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b. NEED HELP ASAP
Hello!
Here we are given a second-order polynomial, and the root form of the function.
[tex]y=a(x-c)(x-d)[/tex]
Where c and d are zeros of the function, which is where the graph intersects the x-axis.
[tex]y=a(x+4)(x-3)[/tex]
[tex]-6=a(2+4)(2-3)[/tex]
[tex]-6=-6a[/tex]
[tex]a=1[/tex]
Therefore, the equation of this polynomial would be [tex]y=(x+4)(x-3)[/tex], and the values of a and b would be the x-intercepts.
Hope this helps!
Latoya bought 8 pounds of potatoes at a local wholesaler for $18. Her friend Herman bought 6 pounds of potatoes at the supermarket for $15. Herman thinks he got the better deal because $15 is less than $18. Use this information for Parts A, B, and C below.
Answer:
Latoya got a better deal because she paid less than Herman by 25 cents
Step-by-step explanation:
Latoya 18 divided by 8= $2.25
Herman 15 divided by 6= $2.50
So Latoya saves $0.25 cents
9+99999+99999-9999999999+9999999
Answer:
-9989799993
Step-by-step explanation:
Put it in a calculator
Ty for points
Answer:
Step-by-step explanation:
-989,799,993
The sum of two numbers is 92. Their difference is 20. Find the two numbers?
Answer: sum: 51 + -31 = 20
Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:
x + y = 20
The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:
x - y = 92
Now solve equation B for x to get the revised equation B:
x - y = 92
x = 92 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 20
92 + y + y = 20
92 + 2y = 20
2y = -72
y = -36
Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:
x + y = 20
x + -36 = 20
X = 56
Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Answer: 56 and -36 as proven here:
You randomly choose one of the tiles shown. Find the number of Ways the event
1) Choosing an odd number.
2) Choosing a number greater than 8
Find the value of x in the triangle shown below 6 2
5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.
() Find the equation of the line passing through
A and B
Given that the line y = x+1 cuts the line AB at
the point M, find
(ii) the coordinates of M,
(in) the equation of the line which passes
through Mand is parallel to the -axis,
(iv) the equation of the line which passes through
Mand is parallel to the y-axis.
4x+15 what is the value of X
Answer:
No solution
Step-by-step explanation:
4x+15 doesn't equal anything so it's impossible to solve.
Unless you forgot to add what it equals I can't solve it for you :(
Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12
Answer:
d.) 1/12
Step-by-step explanation:
As it is equal to 0.083 and it is nearest to zero
Answer:
d. 1/12
Step-by-step explanation:
Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.
What is the area of this shape
Answer:
252
Step-by-step explanation:
60+61+11
Anyone who know what the answer please please?!
Answer:
x = 26.4°
Step-by-step explanation:
Defence angle = x
Side length Opposite to reference angle = 4
Hypotenuse length = 9
Apply trigonometric ratio, SOH. Thus:
Sin x = Opp/Hyp
Sin x = 4/9
[tex] x = sin^{-1}(\frac{4}{9} [/tex]
x = 26.3878° = 26.4° (nearest tenth)
fine the Value of t in the equation
Answer:
14.4
Step-by-step explanation:
6 x (t1/3 + t1/2) = 12(6)
2t + 3t = 72
5t = 72 /5
t= 14.4
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
What is the value of logg 8?
Answer:
The value of log 8 is 0.9030
Step-by-step explanation:
To find:
Value of log 8
Solution:
Let we take,
x=log8
x=log (2)^3
x=3log2
x=3*0.3010
x=0.9030
Hence, the value of log 8 is 0.90.
PLZ IT'S VERY IMPORTANT
Find the perimeter
Answer:
118 cm
Step-by-step explanation:
8 + 16 + 22 + 29 + (29-16) + (8+22) = 118 cm
About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long?
382 cm
339 cm?
679 cm
371 cm
Step-by-step explanation:
Cardboard needed to make tube =
Circumference of Circle base (remember the base is hollow therefore there is no area needed.) x Length of Tube
given r = 2.25cm
L = 24cm
Cardboard needed =
[tex]2\pi \: rl = \\ 2\pi(2.25)(24) \\ = 2\pi(54) \\ = 108\pi {cm}^{2} \\ = 339 {cm}^{2} [/tex]
The cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long will be 339 cm². Option B is correct.
What is surface area ?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
The cardboard is needed to make the inner tube for a roll of paper is found as;
Surface area of cardboard;
A=2πRL
A=2×3.14×(2.25)(24)
A=339 cm².
Hence,the cardboard is needed to make the inner tube for a roll of paper will be, 339 cm².
To learn more about the surface area, refer to the link;
brainly.com/question/2835293
#SPJ2
Given that f (x )is continuous. f (3 )equals 1, f (1 )equals 6, f (6 )equals negative 2, and f (negative 2 )equals 3. Determine limit as x rightwards arrow 6 to the power of plus of f (x ), and limit as x rightwards arrow negative 2 to the power of minus of f (x ).
Given:
[tex]f(x)[/tex] is continuous, [tex]f(3)=1,f(1)=6,f(6)=-2,f(-2)=3[/tex].
To find:
The value of [tex]\lim_{x\to 6^+}f(x)[/tex] and [tex]\lim_{x\to -2^-}f(x)[/tex].
Solution:
If a function f(x) is continuous at [tex]x=c[/tex], then
[tex]\lim_{x\to c^-}f(x)=f(c)=\lim_{x\to c^+}f(x)[/tex]
It is given that the function [tex]f(x)[/tex] is continuous. It means it is continuous for each value and the left-hand and right-hand limits are equal to the value of the function.
The function is continuous for 6. So,
[tex]\lim_{x\to 6^-}f(x)=f(6)=\lim_{x\to 6^+}f(x)[/tex]
[tex]\lim_{x\to 6^+}f(x)=f(6)[/tex]
[tex]\lim_{x\to 6^+}f(x)=-2[/tex]
The function is continuous for -2. So,
[tex]\lim_{x\to -2^-}f(x)=f(-2)=\lim_{x\to -2^+}f(x)[/tex]
[tex]\lim_{x\to -2^-}f(x)=f(-2)[/tex]
[tex]\lim_{x\to -2^-}f(x)=3[/tex]
Therefore, [tex]\lim_{x\to 6^+}f(x)=-2[/tex] and [tex]\lim_{x\to -2^-}f(x)=3[/tex].
Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent
Answer:
The percentage in mark up is 503.56%.
Step-by-step explanation:
The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.
In this question:
Cost: 1.49
Change: 8.99 - 1.49 = 7.5
Percentage change:
(7.5*100%)/1.49 = 503.56%.
The percentage in mark up is 503.56%.
Please help. Thank you.
Answer:
-10m-9
Step-by-step explanation:
-3(4m+3)+2m
combine like terms
-12m-9+2m
-10m-9
Pls Help will give brainliest
2) The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given determine a unique triangle (one triangle), determine more than one triangle, or cannot make a triangle. Explain how you know this.
a) 3 in., 6 in., 10 in.
b) 40°, 65°, 75
A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79
Answer:
t = 5.79
Step-by-step explanation:
Given the regression line equation :
Cˆ=182+2.2A
Null ; H0:β=0
Alternative ; Ha:β≠0
Comparing with the general for of a linear regression equation :
y = bx + c
b =slope Coefficient ; c = intercept
b = 2.2 (from equation given)
The test statistic :
t = (Slope, b - null, β) / standard error of slope, E
(b - β) / E
(2.2 - 0) / 0.38
t = 2.2 / 0.38
t = 5.7894736
t = 5.79
1. Anvi borrowed $5,000 from a bank at a flat interest rate of 11% per year for a 3-year
period. How much interest does she have to pay the bank at the end of 3 years? (2dp)
Answer:
He will have to pay $1,650 in interest at the end of 3 years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Anvi borrowed $5,000 from a bank at a flat interest rate of 11% per year for a 3-year period.
This means that [tex]P = 5000, I = 0.11, t = 3[/tex]
How much interest does she have to pay the bank at the end of 3 years?
[tex]E = P*I*t = 5000*0.11*3 = 1650[/tex]
He will have to pay $1,650 in interest at the end of 3 years.
d(x³+4x)/dx find the derivative ?
Answer:
3x²+4
Step-by-step explanation:
To find the derivative of something with respect to x, for each term multiply the power on the x in that term by the coefficient in the same term, and then lower the x's power by one.
For example, if we had to find the derivative of 2x³, we would first multiply the power on the x (3) by the coefficient (2): 6x³. Then lower the x's power by one: 6x². So the derivative of 2x³ is 6x².
To find the derivative an expression with several terms added together, you just do the same for each terms.
d(x³+4x)/dx
= [tex]\frac{d}{dx}[/tex] x³+4x
= 3x²+4
please help me(i'm not smart so i don't get this at all T-T)
Answer:
Step-by-step explanation:
6x4=24+1=25 75/25=3 .
oh and btw go back to high school
12 pieces ! ( > < )
for future reference, this will be a lot easier to do than using points !! so simple :))
use your calculator to divide the large number by the small number !! that should give your answer
and remember if a fraction is out of four think of it like quarters or 25 cents :3
so 75 divided by 6.25 is 12 !!
good job !!! ♡♡
In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each point using values of rr such that r≥0 and values of θ such that 0≤θ<2π. Visually check your answers to ensure they make sense.
(x,y)=(2,5) corresponds to (r,θ)=
(x,y)=(−3,3) corresponds to (r,θ)=
(x,y)=(−5,−3.5) corresponds to (r,θ)=
(x,y)=(0,−5.4)corresponds to (r,θ)=
Step-by-step explanation:
We have cartisean points. We are trying to find polar points.
We can find r by applying the pythagorean theorem to the x value and y values.
[tex]r {}^{2} = {x}^{2} + {y}^{2} [/tex]
And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.
[tex] \tan(x) = \frac{y}{x} [/tex]
Remeber since we are trying to find the angle measure, use inverse tan function
[tex] \tan {}^{ - 1} ( \frac{y}{x} ) = [/tex]
Answers For 2,5
[tex] {2}^{2} + {5}^{2} = \sqrt{29} = 5.4[/tex]
So r=sqr root of 29
[tex] \tan {}^{ - 1} ( \frac{5}{2} ) = 68[/tex]
So the answer is (sqr root of 29,68).
For -3,3
[tex] { -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2} [/tex]
[tex] \tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45[/tex]
Use the identity
[tex] \tan(x) = \tan(x + \pi) [/tex]
So that means
[tex] \tan(x) = 135[/tex]
So our points are
(3 times sqr root of 2, 135)
For 5,-3.5
[tex] {5}^{2} + {3.5}^{2} = \sqrt{37.25} [/tex]
[tex] \tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35[/tex]
So our points are (sqr root of 37.25, 35)
For (0,-5.4)
[tex] {0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4[/tex]
So r=5.4
[tex] \tan {}^{ - 1} (0) = undefined[/tex]
So our points are (5.4, undefined)