Answer:
n = 49
Step-by-step explanation:
k^2 + 14k +n
Take the coefficient of k
14
Divide by 2
14/2 = 7
Square it
7^2 = 49
n = 49
y Given: 6x + 7 = 8x - 17; Prove: x = 12
On the left aide is the equation solved step by step and on the right side is where you have to explain what you did to do that equation..(in each column just say what property you used to solve it..Distributive Property, Subtraction Property, Addition Property, Division Property, Multiplication Property etc..)
REASONS:-
1ST STEP
[tex]6x + 7 = 8x - 17 [/tex]
GIVEN LHS = RHS
2ND STEP
[tex]7 = 2x - 17[/tex]
Bez +ve 6x when move to another side will change to -ve so it reduces 8x to 2x
3RD STEP
[tex]24 = 2x [/tex]
Bez -ve 17 when move to another side will change to +ve so it increases 7 to 24
4TH STEP
[tex]12 = x[/tex]
Bez 2 in multiplication when move to another side will change to division so it reduces 24 to 12
5TH STEP
[tex]x = 12[/tex]
it the answer we obtained after solving
7x+8/2 = 9x+1
Give your answer as a fraction in its simplest form
Answer:
3/2
Step-by-step explanation:
the LCM is 2Thanks Hope It Helpif a−b=5 and ab=75 find the value of a2+b2
Please find attached photograph for your answer.
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Solve for x. Round to the nearest tenth.
Answer:
D. 14.1
Step-by-step explanation:
Use sin, opposite over hypotenuse.
sin67 = 13/X
solve for X
I need answer LOL :(
Which graph represents the following piecewise defined function? g(x) = 1/2 x +3 , x< -2 g(x) = 2, -2<_ x <_3 g(x) = 2x-3 , x>3
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
When x is less than -2, the definition is:
[tex]g(x) = \frac{x}{2} + 3[/tex]
When x is between -2 and 3, inclusive, the function is:
[tex]g(x) = 2[/tex]
When x is greater than 3, the definition is:
[tex]g(x) = 2x - 3[/tex]
The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.
For another example of a piece-wise graphic, you can check https://brainly.com/question/24324639.
Answer:
D
Step-by-step explanation:
edge!
One more, again I aplolgize!
Identify the solid.
A.
pentagonal prism
B.
dodecahedron
C.
hexahedron
D.
hexagonal prism
Answer:
I would say it is D
Step-by-step explanation:
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.
Answer:
(26/9 , -7/9)
Step-by-step explanation:
Here,
let the points be
X(-1,7) = (x1, y1)
Y(4,-3) = (x2,y2)
and let the ratio be...
m:n = 7:2
and.. let the point that divides the line be
P(x,y)
now using the section formula for internal division..
P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )
= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )
= ( 26/9 , -7/9 )
Solve for b.
- 3b-5> - 8 or b - 4 < 0
Answer:
b<4
Step-by-step explanation:
- 3b-5> - 8 or b - 4 < 0
Solve the first inequality
- 3b-5> - 8
Add 5 to each side
- 3b-5+5> - 8 +5
-3b> -3
Divide by 3, flipping the inequality
-3b/-3 < -3/-3
b <1
Then solve the second inequality
b-4<0
Add 4 to each side
b<4
Put them back together
b<1 or <4
Merge them since they overlap
b<4
Given that line AD is the angle bisector of
Step-by-step explanation:
3x+1 = 5x-1
3x+2= 5x
2x= 2
x= 1
Solve x4 – 2x2 – 24 = 0.
Answer: 7
Step-by-step explanation:
What is the answer for y=?
Answer:
hwukebhejsnsknbjbbjkkkkkkkk
find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.
We shall proceed in hit and trial method
Find some nearest multiples of 252
252(2)=504252(3)=756252(4)=1008252(5)=1260252(6)=1512252(7)=1764Yes last one is square of 42
So smallest no is 7
Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?
Answer:
2/5
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7 -5)/(9 - 4)
= 2/5
using the inverse trig functions, find the measure of angle X to the nearest degree
1. 64°
2. 16°
3. 90°
4. 74°
Answer:
Option 4.
Step-by-step explanation:
Tan(X)=perpendicular/base
Tan(X)=48/14
X=arctan(48/14)=74
What sum of money amount to Rs 6000 in two years at the rate of 10% per annum find it
Answer: Rs 5000 sum of money amount to Rs 6000 in two years at the rate of 10% per annum.
Step-by-step explanation:
Amount = Rs 6000
T = 2 year
R = 10%
So
I = A-P
so
I = PTR/100
or, A-P = (P*2*10)/100
or, 6000-P = 20P/100
or, 600000-100P = 20P
or, 600000 = 120P
or, P = 600000/120
so, P = Rs 5000
xyz-4 xy+5 from 5 from 5xyz+xy+3yz_4
Page No 7.13:
Question 1:
Add the following:
(i) 3x and 7x
(ii) −5xy and 9xy
ANSWER:
We have
(i) 3x + 7x = (3 + 7)x = 10x
(ii) -5xy + 9xy = ( -5 + 9)xy = 4xy
i need helpp plzzz!!!!!!!!!!!!!!!!
A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?
Answer:
3/40 cup
Step-by-step explanation:
3 1/3 =10/3
10/3 to 1 is 1/4 to x
i then proceeded to use the butterfly method to find the answer
La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder
Answer:
Lateral surface area= circumference*height
120=12*h
h=10cm
Answer:
h=10 cm
Step-by-step explanation:
cicumference of a circle C=2πr=12
lateral surface area of cylinder=2πrh
120=12h
h=120/12=10 cm
y-3=2(x-3) y+5=2(x+1)
choose 1 answer
the same line
distinct parallel lines
Perpendicular lines
intersecting, but not perpendicular lines
Answer:
The same lines (answer)
Step-by-step explanation:
The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,
y-3 = 2(x-3) .......(1) ; y + 5 = 2(x+1) ...........(2)
y = 2x - 6 + 3 ; y = 2x + 2 - 5
y = 2x -3 ; y = 2x - 3
Comparing with slope intercept form we have,
m1 = 2 ; m2 = 2
c1 = -3 ; c2 = -3
If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)
What is the value of n
Answer:
60
Step-by-step explanation:
Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting [tex]r=9,t=3[/tex] in the above formula, we get
[tex]I=\dfrac{P\times 9\times 3}{100}[/tex]
[tex]I=\dfrac{27P}{100}[/tex]
[tex]I=0.27P[/tex]
We know that,
[tex]\text{Amount}=\text{Principal + Interest}[/tex]
[tex]9144=P+0.27P[/tex]
[tex]9144=1.27P[/tex]
Divide both sides by 1.27, we get
[tex]\dfrac{9144}{1.27}=P[/tex]
[tex]7200=P[/tex]
Therefore, the principal value is Rs. 7200.
Solve x^2−4x−12=0 by completing the square. PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
The answer is B
Step-by-step explanation:
If u use calculator,u will get the ans as x¹=6 and x²= -2 but u have to change it to the opposite which means negatif to positive(-2=2) and positive to negative(6= -6).Hope u can understand...sorry,English isn't my first language
Answer:
x= 6 and x=-2
Step-by-step explanation:
find the two factors that when multiplied will get -12 and when summed up will get -4.
so -6 and 3
(xsquare-6) +(2x -12)=0
x(x-6)+2(x-6)=0
(x-6)=0 (x+2)=0
group like terms
x=6. x=-2
Find the measure of FG
Answer:
D. 7
Step-by-step explanation:
I guessed on it because i had the same problem and then i checked and it was right!
A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]
= -4.189
Thus it is not profitable to play the game.
A storage drum has a diameter of 7 feet and a height of 4 feet 3 inches how many gallons of chemicals cleaner can this drum hold
Answer:
The answer is "1223.42 gallons".
Step-by-step explanation:
Given:
[tex]Diameter\ (d)= 7\ feet\\\\r=\frac{d}{2}=\frac{7}{2}=3.5\ feet\\\\h= 4\ feet\ 3\ inches\ = 4.25 \ feet \\\\[/tex]
Using formula:
[tex]Volume = \pi r^2h[/tex]
Put the value into the above formula:
[tex]= \pi (3.5)^2 (4.25)\\\\= 3.14 \times12.25\times (4.25)\\\\= 3.14 \times 52.0625 \\\\=163.47625\\\\= 163.56 \ feet^3\\\\= 163.56 \ feet^3[/tex]
[tex]\therefore \\\\1 \ foot^3 = 7.48051945\ US\ gallons\\\\[/tex]
Final answer:
[tex]\to (163.56)(7.48) = 1223.42\ gallons[/tex]
