Answer:
(0, -√2)
Step-by-step explanation:
Given :
f(x) = x² - 8Finding vertex :
Given by (h, k)h = -b/2a = 0k = -D/4aD = √0 - 4(1)(-8) = √32 = 4√2k = -4√2/4 = -√2Vertex is (0, -√2)Calculate the length of a diagonal of a square with side each 7cm long
Answer:
[tex]7\sqrt{2} \ cm[/tex]
Step-by-step explanation:
Formula ………………………………………………
The length of a diagonal of a square with side of length “a” is :
[tex]a\sqrt{2}[/tex]
======================================================
Since a = 7 (in our case) then
[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]
Note : you can also use the Pythagorean theorem.
Find the nth term of the following sequence:
5, 20, 45, 80, 125
Answer:
So, 5, 20, 45, 80,...5N2
Step-by-step explanation:
Divide the sequence by 5 and the answer becomes very obvious:
EX: 1, 4, 9, 16,...N2
PLEASE HELP ME WITH THIS QUESTION
Answer:
75582
Step-by-step explanation:
The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:
C(n, k) = n!/(k!(n-k)!)
C(19, 8) = 19!/(8!(11!)) = 75582
Write a formula for function h in terms of function f.
Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
y = f(x) (-6, 11)
⬇️ ⬇️
y - h(x) (6, 7)
so h(x) = f(x - 12) - 4
Hope this helps and have a nice day
\frac { x } { x - 2 } + \frac { x - 1 } { x + 1 } = - 1
I cant firgure it out
[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]
x = -1
Step-by-step explanation:
[tex] \sf\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1[/tex]
Taking LCM
[tex] \sf \hookrightarrow \frac{x(x + 1) + (x - 1)(x - 2)}{(x - 2)(x + 1)} = - 1 \\ \\ \sf \hookrightarrow \frac{ {x}^{2} + x + {x}^{2} - 3x + 2 }{ {x}^{2} - x - 2} = - 1 \\ \\ \sf \hookrightarrow \frac{2 {x}^{2} - 2x + 2 }{ {x}^{2} - x - 2 } = - 1[/tex]
Cross multiplying
[tex] \sf \hookrightarrow 2 {x}^{2} - 2x + 2 = - 1( {x}^{2} - x -2) \\ \\ \sf \hookrightarrow 2 {x}^{2} - 2x + \cancel2 = - {x}^{2} + x + \cancel2 \\ \\ \sf \hookrightarrow 3 {x}^{2} - 3x = 0[/tex]
Taking 3 common
[tex] \sf \hookrightarrow {x}^{2} - x = 0 \\ \\ \sf \hookrightarrow x(x - 1) = 0 \\ \\ \sf \hookrightarrow x - 1 = 0 \\ \\ \\ \green{\boxed{ \hookrightarrow x = 1}}[/tex]
VerifyingTaking x as 1
[tex] \sf \implies\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1 \\ \\ \sf \implies \frac{1}{1 - 2} + \frac{1 - 1}{1 + 1} = - 1 \\ \\ \sf \implies - 1 + 0 = - 1 \\ \\ \sf \implies - 1 = - 1[/tex]
Simplify 2y + 1. + 5y +4
3y. 3y
Answer:
43y2+3 + 7y + 1
Step-by-step explanation:
i can not figure this question out someone help pls.
Answer:
228,5
Step-by-step explanation:
a=10
b=15
The area of rectangle:
S=a*b
S=10*15
S=150
The area of 2 halfcircles (1 circle):
d=10
r=d:2
r=5
S=πr²
S=3,14*5²
S=3,14*25
S=78,5
The area of the figure:
78,5+150=228,5
I need some help answering this
Answer:
d
Step-by-step explanation:
sin angle (60) would have been equal to 0.5 or a 1/2
and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2
Let me know if this answer can work
Best of Luck
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
Which set of ordered pairs represents the points on this graph?
A. {(-2, -3), (-1, 5), (1, 3), (2, 5), (3, -2)}
B. {(-3, -2), (-1, 4), (1, 3), (2, 5), (3, -2)}
C. {(-2, -3), (-1, 4), (3, 1), (2, 5), (-2, 3)}
D. {(-2, -3), (-1, 4), (1, 3), (2, 5), (3, -2)}
Answer:
option D
Explanation:
To know the x coordinates see the value on the x-axis.To know the y coordinates see the value on the y-axis.Identify coordinates from the graph:
a) (3, -2)
b) (-2, -3)
c) (1, 3)
d) (2, 5)
e) (-1, 4)
All of these coordinates fall under option D
Answer:
D
Step-by-step explanation:
Let's find the coordinates of the plotted points (from left to right) :
Point 1 (x = -2, y = -3) ⇒ (-2, -3)Point 2 (x = -1, y = 4) ⇒ (-1, 4)Point 3 (x = 1, y = 3) ⇒ (1, 3)Point 4 (x = 2, y = 5) ⇒ (2, 5)Point 5 (x = 3, y = -2) ⇒ (3, -2)The listed points are given in option D
please help me on this
Answer:
it is the answer on the top
What is the value of x?
29
12
7.3
25.2
Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
25.2
Step-by-step explanation:
This is an intersection of a tangent and a secant.
Ming made 7 batches of muffins. She used 1.75 pounds of apples per batch. How many pounds of apples did Ming use to make all the muffins? 11.5 pounds 12.25 pounds 9 pounds 4 pounds
Answer:
12.25
Step-by-step explanation:
Multiply the pounds of apples by the batches.
1.75×7=12.25
How do I solve x - 6 1/2 = 3 2/3
Pls explain ur answer and how I can improve I’m having math finals
Answer:
10 1/6
Step-by-step explanation:
First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.
So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.
Then, you can rewrite your equation using the improper fractions:
x - 13/2 = 11/3
Then, add 13/2 to both sides since it is being subtracted:
x = 13/2 + 11/3
Add the fractions by multiplying the denominators of each by the fraction of the other:
3(13/2) = 39/6
2(11/3) = 22/6
Add the fractions:
39/6 + 22/6 = 61/6
Simplify the fraction:
10 1/6
Answer:
10 1/6 or [tex]10\frac{1}{6}[/tex]
Step-by-step explanation:
The BEST, BASIC, FAST trick to find x in these situtations
If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result. If you're doing addition, then you do subtraction in the same way.
Multiplication -> Division
Divisioin -> Multiplication
these 2 also in the same way!
Why do to do this?
Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.
Now, solving the problem!
[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]
So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]
Thanks!
I hope I could help!
:D
Find the perimeter of the parallelogram whose vertices are A (-1,1), B (-9,6), C(-12,11) and D(-4,6) Give your answer correct to one decimal place
Answer: 30.5
Step-by-step explanation:
HELPPPPP this is 7TH grade math and I’m confused
Answer:
35 minutes
Step-by-step explanation:
The total time he walked for last week is
10 * 5 = 50 minutes
Subtract 225 by 50 to find the total time he spend for swimming
225-50 = 175 minutes
Divide 175 by 5 to find the time taken for swimming on each day
175/5 = 35 minutes
What is the area of a triangle if the height is 9 and base is 11?
Answer:
49.5
Step-by-step explanation:
you multiply the height and base then divide that awnser by 2
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance.
The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds
Calculations and Parameters:Given that this is a cosine equation,
At maximum, Cos (0) =1
At minimum, Cos (π) = -1.
Hence,
At the maximum:
8π/5 t = 0t = 0At the minimum:
8π/5 t = πt = 5/8t = 0.625Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,
The total time taken would be:
0.625 + 0.625 = 1.25s
Read more about equations here:
https://brainly.com/question/2972832
#SPJ4
I need help please. It will really help me
Answer:
x = 15
∠AOB = 15°
∠BOC = 165°
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]
Substitute the given expressions for the angles:
[tex]\sf \implies (2x - 15) + 11x = 180[/tex]
Collect and combine like terms:
[tex]\sf \implies 2x +11x- 15=180[/tex]
[tex]\sf \implies 13x- 15=180[/tex]
Add 15 to both sides:
[tex]\sf \implies 13x- 15+15=180+15[/tex]
[tex]\sf \implies 13x=195[/tex]
Divide both sides by 13:
[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]
[tex]\sf \implies x=15[/tex]
Now substitute the found value of x into the expressions for each angle:
[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]
[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]
Suppose you roll two number cubes. What is the probability of getting:
a. exactly one cube showing an even number?
b. at least one cube showing an even number?
c. two values that have a sum of at least 7?
Answer:
are a, b, and c the options or are they different questions?
40 points!!! Triangle ABC is transformed to create Triangle A’B’C’, what type of rigid transformation is this?
Answer:
Reflection
Explanation:
This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis
Answer:
reflection about the x -axis
Step-by-step explanation:
Mirror line is the x-axis for this translation
A side of the triangle below has been extended to form an exterior angle of 141°. Find
the value of x.
Anyone know the value of x for these
Answer:
#3 : x = 12
#4 : x = 6
Step-by-step explanation:
Question 3:-
x^2 = 8(8+10)x^2 = 8(18)√(x^2) = √(144)x = 12Question 4:-
4(4+x)5(5+3)16+4x = 404x = 40-164x = 24x = 6A bag containing...
What is the range of this data set? {37, 38, 44, 32, 40, 33, 29, 33, 36}
15
29
33
36
Answer:
Range is 15
Step-by-step explanation:
1. Organize from least to graetest:
29, 32, 33, 33, 36, 37, 38, 40, 44
2. Find the largest and the smallest numer:
29 and 44
3. Subtract:
44
-29
=15
Answer:
its 15
Step-by-step explanation:
i just need da points
e. In a survey, it was found that the ratio of people who like tea and coffee is 9:8. If 25% liked tea and coffee both, 80 liked none of these and 20% liked tea only, find the total number of people participated in the survey.
Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answer:
I think c
Step-by-step explanation:
i might be wrong so dont trust my answer but i would've picked C
A catalog with 625 pages has 6 pages with tables.
What percent of the pages have tables?
0.16%
0.96%
1.28%
1.92%
Answer:
0.96%
Step-by-step explanation:
We are looking for the percent that represents "6 out of 625"
Divide to find the decimal answer:
6/625 means
6 ÷ 625
= 0.0096
Then multiply by 100 to change to a percent.
0.0096 × 100
= 0.96%
what is 2.25 x 9 i cant find it loololllooll
Answer:
20.25
Step-by-step explanation:
Answer: [tex]9[/tex] [tex]is[/tex] [tex]your[/tex] [tex]answer :)[/tex]
Step-by-step explanation:
Write the problem as a mathematical expression.
2.25 x 9
The degree is the largest exponent on the variable.
9
Your answer should be (9)
demi had $170 in her bank account at the beginning of the month and $125 at the end of the month.
Each time she eats lunch in the cafeteria, $5 is deducted from her account.
How many times, x, did Demi eat lunch in the cafeteria this month? (No other deductions or deposits were made