Answer:
see explanation
Step-by-step explanation:
(a)
To evaluate f(5) substitute x = 5 into f(x), that is
f(5) = 2(5) - 1 = 10 - 1 = 9
(b)
To evaluate g(x - 2) substitute x = x - 2 into g(x), that is
g(x - 2)
= (x - 2)² + x - 2 + 1 ← expand (x - 2)² using FOIL
= x² - 4x + 4 + x - 2 + 1 ← collect like terms
= x² - 3x + 3
What is the value of x?
Answer:
x = 19.
Step-by-step explanation:
By the tangent - secant theorem:
BD^2 = AB * EB
so:
8^2 = (x - 7 + 4) * 4
4(x - 3) = 64
4x - 12 = 64
4x = 64 + 12 = 76
x = 76/4
= 19.
Angle ABC is bisected by line segment AD. If angle ABC measures 108° and one of the smaller angles created by line AD measures (5x+4), what is the value of x?
Answer:
x = 10
Step-by-step explanation:
One of the smaller angles that is created by the angle bisector measures 5x+4.
An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or
2(5x+4)=108 (divide both sides by 1/2)
10x+8=108 (distribute)
10x=100 (subtract 8 from both sides)
x=10 (divide by 10)
x=10
Will give 100pts for this question
Answer:
-3Solution,
[tex] \frac{24 {x}^{2} + 25x - 47}{ax - 2} = - 8x - 3 - \frac{53}{ax - 2} \\ \frac{24 {x}^{2} + 25x - 47 }{ax - 2} = \frac{( - 8x - 3)(ax - 2) - 53}{ax - 2} \\ 24 {x}^{2} + 25x - 47 = - 8a {x}^{2} + (16 - 3a)x - 47 \\ [/tex]
Equating coefficients from both side:
[tex] - 8a = 24 \\ a = \frac{ 24}{ - 8} \\ a = - 3[/tex]
Hope this helps..
good luck on your assignment..
Answer:
-3
Step-by-step explanation:
Lucky guess?
WILL MARK BRAINLIEST
help answer 4-5 please x
Answer:
Step-by-step explanation:
4. A) [tex]\frac{13}{100}[/tex]×79.50 = 10.335
tax=10.335
total cost=79.50+10.335=89.835
B) [tex]\frac{13}{100}[/tex]×189.99=24.6987 = tax
189.99+24.6987=214.6887
5) [tex]\frac{20}{100}[/tex]×544.99=108.998
yes Brittany will have enough money
Find the area of this parallelogram
Answer:
Area = 147.03 cm²
Step-by-step explanation:
Area of parallelogram = [tex]Base*Heigth[/tex]
Where base = 16.9 cm, Height = 8.7 cm
Area = 16.9*8.7
Area = 147.03 cm²
Answer:
147.03 square cm
Step-by-step explanation:
[tex]area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ [/tex]
Express 3.5 cm into metre
Answer:
[tex]\boxed {\red {0.035m}}[/tex]
Step-by-step explanation:
[tex]1m = 100cm \\ x = 3.5cm[/tex]
[tex]use \: \: cross \: \: multipication[/tex]
[tex]3.5 \times 1 = 100 \times x \\ 3.5 = 100x \\ \frac{3.5}{100} = \frac{100x}{100} \\ x = 0.035m[/tex]
Last year, a person wrote 139 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?
Answer:
Mean = 0.38082 checks per day
Variance = 0.38082
Standard deviation = 0.61711
Step-by-step explanation:
In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.
A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:
[tex]E(x)=\mu=\frac{139}{365}\\ \mu=0.38082\ checks/day[/tex]
Therefore, the variance and standard deviation are, respectively:
[tex]V=\mu=0.38082\\\sigma=\sqrt{V}=\sqrt{0.38082}\\ \sigma =0.61711[/tex]
please i know the awnser is 60 but i cant explain it
Answer:
a) 60 degrees
Step-by-step explanation:
b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.
Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.
Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.
hope this helps : )Answer:
All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.
Please explain how to do this and one answer.
Answer:
In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up
We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91
So we have for base 5
1 , 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200
We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5
Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed
at 34 the next 40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100
At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200
Base 2
In base 2 we have;
1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010
We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5
So we need to still have an idea of the number system just as we did for base 10
Step-by-step explanation:
I'm a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. If the confidence interval is 95%, the margin of error for this survey is %, and the maximu
Answer:
Step-by-step explanation:
Confidence interval for population proportion is expressed as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
From the information given,
Sample proportion, p = 65/100 = 0.65
q = 1 - 0.65 = 0.35
n = 200
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Margin of error = 1.96√(0.65)(0.35)/200
Margin of error = 0.066 = 6.6%
The maximum boundary of the interval is
0.65 + 0.066 = 0.716
solve the equation -10x+1+7x=37
Answer:
x = -12
Step-by-step explanation:
-10x+1+7x=37
Combine like terms
-3x+1 = 37
Subtract 1 from each side
-3x+1-1 = 37-1
-3x = 36
Divide by -3
-3x/-3 = 36/-3
x = -12
i need mega help quick plz
Answer:
option AAngle B is the answer
Please someone help ASAP
Answer:6 1/2
Step-by-step explanation:1/2+3 1/2+2 1/2
Add all the halves (1/2)
1/2+1/2+1/2=1 1/2
Then add the 3 and 2 in front of the fraction.
3+2=5
So, 1 1/2+5=6 1/2
Answer:
6 1/2
Step-by-step explanation:
3+2=5
1/2+1/2=1
5+1=6
6+1/2=6 1/2
The price of the latest John Madden PS2 gam just increased to $55 last year’s version cost $50 what is the percent increase in price? Please help
Find m∠C. A. 16 B. 20 C. 18 D. 17
Answer:
Step-by-step explanation:
You have to use the Law of Cosines here to solve for C. For us the equation will take on the form
[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:
[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to
144 = 784 + 324 - 1008cosC. Simplify a bit more to
144 = 1108 - 1008cosC. Subtract 1108 from both sides to get
-964 = -1008cosC. Divide both sides by -1008 to get
.9563492063 = cosC
Press the 2nd button and then the cos button on your calculator. You should see this on your screen:
[tex]cos^{-1}([/tex]
After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!
Can someone please help me I really need help please help me thank you
Answer:
x = a + b
Step-by-step explanation:
This is a proof
Exterior angle of a triangle = Sum of Interior and opposite angles
Exterior angle of a triangle = x
Sum of Interior and opposite angles = a + b
know that
a + b + c = 180 ______1 (total sum of angles in a triangle)
x + c = 180 _______2 (total sum of angles on a straight line)
from equation 1
c = 180 - (a + b)
from equation 2
c = 180 - x
hence
180 - (a + b) = 180 - x
180 - 180 + x = a + b
x = a + b
Find the value of this expression if x = = 2 and
y = -8
ху/-5
Enter the correct answer
Answer:
16/5
Step-by-step explanation:
xy/-5
(2)(-8)/-5
-16/-5
=16/5
What is 20^2 + 54/9?
Answer:
Hey there!
20^2+54/9
400+54/9
400+6
406
Hope this helps :)
Answer:
406
Step-by-step explanation:
20²+6
=400+6
=406
In circle Z. what is mz2?
Answer:
140°
Step-by-step explanation:
[tex] m \angle \: 2 = \frac{1}{2} \times \bigg(133 \degree + 147 \degree \bigg) \\ \\ m \angle \: 2 = \frac{1}{2} \times 280 \degree \\ \\ \huge \red { \boxed{m \angle \: 2 = 140 \degree }}[/tex]
Twelve less than the product of three and a number is less than 21
Answer:
11
Step-by-step explanation:
3 times 11 gives you 33 which would be the product
3 x 11 = 33
subtract the 12(twelve) from the 33(product)
33 - 12 = 21
A hiker leaves camp and walks 6 miles east. Then he walks 18 miles south. How far from camp is the hiker? Distance in miles: Using quadratic applications
Answer: 19 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.
Replacing with the values given:
x^2 = 6^2 + 18^2
x^2 = 36+324
x^2 = 360
x = √360
x = 18.97miles = 19 miles
Feel free to ask for more if needed or if you did not understand something.
Help!!!!! please!!!!!
Answer:
B 120 cubic centimetres
For which pair of functions is (gºf)(a) =la|-2
Answer:
The thirdStep-by-step explanation:
[tex](g\circ f)(x) = g\big(f(x)\big)[/tex]
so:
[tex]I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7[/tex]
Identify any transformations (translations, reflections, rotations) that are used in each corporate logo below. Some logos may have multiple answers do make sure to include them all.
Answer:
Check below
Step-by-step explanation:
There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.
1) Toyota: translation, and Dilation.
Two ellipses translated within a larger ellipse.
2) 2 Reflections, or 4 rotations of the pre-image
We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.
3) CBS: Dilation of the circumference, inside a rhombus.
4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.
e) Reflection
f) Translation
if f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?
Answer:
R-{5}Step-by-step explanation:
f(x)=x²-25=(x-5)(x+5)
g(x)=x-5
(f/g)(x)=(x-5)(x+5)/(x-5)=x+5; for x≠5
D=R-{5}
Consider the following 8 numbers, where one labelled x is unknown.
11, 1, 34, x, 41, 10, 47, 2
Given that the range of the numbers is 67,
work out 2 values of x.
Answer:
x=-20 or x=68
Step-by-step explanation:
you can either make it so 47 remains the largest number and so take 67 from 47 (=-20) or you can leave 1 as the smallest number and add 67 to 1 (=68)
The formula for the area of a square is s2, where s is the side length of the square. What is the
rea of a square with a side length of 6 centimeters? Do not include units in your answer
Answer:
36
Step-by-step explanation:
Area of a square is s² , where 's' is the side length.
For a square of side length = 6 cm ,
The area = (6 cm)² = 36 cm²
* Why did your teacher say that you should not include units in your answer?
Anyway, the area without units is 36 .
Urgent ‼️50 POINTS NO BS OR I WILL REPORT YOU Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
Answer:
3rd option
Step-by-step explanation:
The ratio of 1:3 mean that one part is 1 to the other part being 3.
That means the total is 1 + 3 = 4.
1 part to 3 parts is the same as 1 part to a whole of 4 and 3 parts to a whole of 4.
Answer: 3rd option
Answer:
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
Step-by-step explanation:
I like to call the numbers in the ratio 1 : 3 "ratio units".
That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).
_____
Coment on the answer wording
I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".
In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."
Answer the following questions 0.2 is what percent of 1 3/5 ? plzzz help me
Answer:
1 3/5 = 8/5
.2=2/100
Step-by-step explanation:
make an equality:
x/(8/5)=2/100
it kinds looks weird on here but write it out on paper
then cross multiply:
100x=(2)(8/5)
100x=16/5
now divide each side by 100:
x=4/125
same for the second one:
make an equality:
x/2=2/100
cross multiply:
100x=(2)(2)
100x=4
x=1/25
Which number(s) below belong to the solution set of the inequality Check all that apply. x + 30 < 60 a.50 b.45 c.300 d.1 e.29 f.30
Answer:
e.29 d.1
Step-by-step explanation:
x+30<60 :we will replace with the values we have :
300 that's a big number . Obviously it isn't a solution 50 : 30+50 = 80>60 so no 45: 30+45= 75 >60 so no 30+30 = 60 we have < not ≤ so no 1 yes . it's obvious 29 +30 = 59<60 so yes !