Answer:
8
Step-by-step explanation:
5x-8 = 2x+16
Move 2x to the left side and you get 3x-8 = 16
Move -8 to the right side and you get 3x = 24
Divide 3 on both sides and you get x = 8
Can’t find an answer anywhere pls help <3
Step-by-step explanation:
Consider the expression below:
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } [/tex]
Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{10 \sqrt{2} \: - \: 6}{2} = - 3 + 5 \sqrt{2} [/tex]
By inspection, we can see that
a = -3 and b = 5
Answer:
[tex]a = - 3[/tex]
[tex]b = 5[/tex]
Step-by-step explanation:
Objective: Knowldge of Rationalizing Rational Functions.
Complete the LHS to find a and b.
Given
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]
Rationalize the LHS.
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times { \frac{ \sqrt{2} }{ \sqrt{2} } } [/tex]
You'll get
[tex] = 5 \sqrt{2} - 3[/tex]
Flip is equation around.
[tex] - 3 + 5 \sqrt{2} [/tex]
This means that a equal -3 and b equal 5.
f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
The graph of g(x) passes through the point (3,3).
To find:
The function g(x).
Solution:
From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
It can be written as:
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get
[tex]3=k(3)^2[/tex]
[tex]3=k(9)[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
If the events have the same theoretical probability of happening, then they are called
Answer:
if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space
PLEASE HELP ME PLEASE
Find the volume of the sphere.
r= 3 cm
Formulas for Spheres
S.A. = 4nr?
V = frr? V = [?] cm3
Round to the nearest tenth.
PLEASE HELP ME PLEASE
Step-by-step explanation:
113,1 cm^3
The volume of the sphere is V = 113.097 cm³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 3 cm
Let the volume of the sphere be V
The formula for the volume of a sphere is:
V = (4/3)πr³
where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 3 cm into the formula, we get:
V = (4/3)π(3 cm)³
V = (4/3)π(27 cm³)
V = (4/3)(3.14159)(27 cm³)
V = 113.097 cm³
Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.
To learn more about sphere click :
https://brainly.com/question/27933834
#SPJ7
can somebody help me with this
Answer:
If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1
9/a = -1
a = -9
Answer:
-9
Step-by-step explanation:
flip and change the sign of [tex]\frac{3}{4}[/tex]
[tex]\frac{4}{-3}[/tex]
set equal to each other
[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]
cross multiply
4a = -36
divide by 4
a = -9
A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))
Answer:
1500 because if you mutiply by 35 u will get it
Step-by-step explanation:
Answer:
ratio of required answer
7×(:)5×also given
=)5×=150×=¹⁵⁰=305
now putting the value of × in another give
Required mum
7x+5x
12x
2(30)=360Step-by-step explanation:
HOPE IT'S HELP
Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where: A = { 2 , 3 , 5 , 6 , 7 } B = { 1 , 3 , 9 , 10 , 11 , 14 } C = { 5 , 9 , 12 , 13 , 15 }
Answer:
16 elements
0 elements
Step-by-step explanation:
U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }
Let sets A , B , and C be subsets of U , where:
A = { 2 , 3 , 5 , 6 , 7 }
B = { 1 , 3 , 9 , 10 , 11 , 14 }
C = { 5 , 9 , 12 , 13 , 15 }
(A U B U C) = elements in either A, or B or C
(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}
(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.
Number of elements = 13
(A n B n C) = elements occurring in both A, B and C
(A n B n C) = {} = empty set
(A n B n C) n (A n B n C) = {} = 0
find the circumcenter of the triangle formed by the vertices (2,2),(6,6) and (5,7)
Answer:
5.8333-1.8333 I think
Step-by-step explanation:
hope it helps
Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
two real solutions
two imaginary solutions
one real solution and one imaginary solution
one real solution
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:
[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Suppose 0 is an angle in the first quadrant and cos(0) = 1 What is the value of sin(0)?
Answer:
Step-by-step explanation:
I'm going to use a Pythagorean identity to help make this make sense.
[tex]sin^2\theta+cos^2\theta=1[/tex]
We are given that cos(0) = 1, so
cos²θ = 1² which simplifies to
cos²θ = 1. So filling into our trig identity:
sin²θ + 1 = 1 and
sin²θ = 0 then
sinθ = √0 so
sinθ = 0
[tex]sin^{-1}\theta=0[/tex] so
sin(0) = 0
1. Solve the quadratic by taking square roots.
3x2 - 7 = 140
Answer:
[tex]x=-7, \\x=7[/tex]
Step-by-step explanation:
Given [tex]3x^2-7=140[/tex], our goal is to isolate [tex]x[/tex].
Start by adding 7 to both sides:
[tex]3x^2=147[/tex]
Divide both sides by 3:
[tex]x^2=49[/tex]
Take the square root of both sides:
[tex]x=\pm \sqrt{49}=\pm 7[/tex]
Recall that [tex]7^2=(-7)^2=49[/tex].
Thus, we have:
[tex]x=-7, \\x=7[/tex]
If PQ = 15 and QR = 13, what is PR? Write your answer as a decimal or integer.
Answer:
28
Step-by-step explanation:
Evaluate the expression below when x = 4 and y = -2 *
Answer:
Evaluate the expression below when x = 4 and y = -2 *
hii your question is incomplete
can you please recheck once
there is no expression given
What is the value of x in the equation 5x−6=−36?
Answer:
5x−6=−36
5x=-30
X=-6
5*(-6)-6=-36
-30-6=-36
-36=-36
Your Welcome
BIFFY OUT!!!
Answer:
x=(-6)
Step-by-step explanation:
So first do the inverse operation.
5x-6=(-36)=5x+(-6)=-36
Subtract the constant
-36-(-6)=-36+6=-30
5x=(-30)
x=-6
2 2/9+1 4/9 in simplest form
Answer:
[tex]2 \frac{2}{9} + 1 \frac{4}{9} \\ = \frac{20}{9} + \frac{13}{9} \\ = \frac{33}{9} \\ = 3 \frac{2}{3} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]
Simplify the radical expression
sqrt 147
A. 7 SQRT 3
B. 3 SQRT 7
C. -7 SQRT 3
D. 21
----------------------------------------------------------
(SAME THING)
Simplify the radical expression
sqrt 3 + 4 sqrt 3
Answer:
how can someone solve dis?
Step-by-step explanation:
Answer:
D :3a ^ 4 * sqrt(2a)
Step-by-step explanation:
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Because some of the athletes participated in more than one event.
PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY
Answer:
Growth
Step-by-step explanation:
When x value increase, y value also increase, So growth.
When x = 1 ;f(1) = 2
When x = 2 ; f(2) = 2² = 4
When x = 3 ; f(3) = 2³ = 8
Answer:
Exponential Growth
Step-by-step explanation:
I found this photo that helps differentiate both growth and decay :)
I hope this helps! :)
Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p
Answer:
Value of p is 3
Step-by-step explanation:
One of the root is 1.
So, putting 1 in the place of x in the given equation,
px²-4x+3p-8=0
or, p-4+3p-8=0
or, 4p-12=0
or, 4p=12
or, p=3
Answered by GAUTHMATH
Part B
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A 3 cm, 3 cm, 3 cm
B 4 cm, 8 cm, 13 cm
C 5 cm, 9 cm, 14 cm
D6 cm,
7 cm, 8 cm
Ea 7 cm, 7 cm, 10 cm
Questions in the image.
Answer:
Step-by-step explanation:
1). 3x + 10
3(2) + 10
= 16
2). 14 - 2y
14 - 2(-3)
= 20
3). 7x - 5y
7(2) - 5(-3)
= 29
4). 5x + 7
5(2) + 7
= 17
5). 2x + 3y
2(2) + 3(-3)
= -5
6). 6y - 5x
6(-3) - 5(2)
= -28
nejsjsj show your working pls
Answer:
[tex] V = U + at[/tex]
Step-by-step explanation:
Given the following data;
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
[tex] V = U + at[/tex]
Where;
V is the final velocity. U is the initial velocity. a is the acceleration. t is the time measured in seconds.Substituting into the formula, we have;
[tex] 32 = 0 + 10*3.2[/tex]
[tex] 32 = 0 + 32 [/tex]
[tex] 32 = 32 [/tex]
Proven: 32 m/s = 32 m/s
write the time on the digital watch in words 21:02
It is two minutes past nine
I need help. ASAP. PLEASE.
Ok, so I got this formula from another answer and want someone to help me in explaining how they got to this formula. I understand where they got the constant from, where they got the a-value, but I don't understand where they got b = 2. Please help. We're dealing with a quadratic function here, in which the rate of change is generally -0.2. Thank you to anyone who responds.
a) There are 15 teachers in a school and 10 of them are male teachers. i) Find the ratio of the number of male and female teachers. (ii) Find the ratio of the number of female teachers and the total number of teachers. One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles.
Answer:
i) 2:1
ii) 1:3
iii) 5:4
Step-by-step explanation:
i) Male teachers : Female teachers
10 : 15-10
10 : 5
2 : 1
ii) Female teachers : Total teachers
5 : 15
1 : 3
iii) Do remember that two angles are called complementary if their measures add to 90 degrees.
Hence, ration of the pair of complementary angles = 50 : 90-50
= 50 : 40
= 5 : 4
Answer:
Step-by-step explanation:
Total number of teachers = 15
Given number of male teachers = 10
Therefore number of female teachers = 15 - 10 = 5
i)
Ratio of male and female teachers
[tex]\frac{male}{female} = \frac{10}{5} = \frac{2}{1}\\\\Ratio = 2 : 1[/tex]
ii)
Ratio of female teachers and total number of teachers
[tex]\frac{female}{total\ teachers} = \frac{5}{15} =\frac{1}{3} \\\\Ratio = 1 : 3[/tex]
iii)
If x and y are complementary angles, then x+ y = 90°
Given : one angle, x = 50°
Therefore, 50° + y = 90°
y = 90 - 50 = 40°
Ratio of the pair of complementary angles
[tex]\frac{x}{y} = \frac{50}{40} = \frac{5}{4} \\\\Ratio = 5 : 4[/tex]
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinate or the point N is (2,3)
Step-by-step explanation:
The formula for the midpoint of two points is;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
for AB
A(-1,3) and B (7,-3)
We have;
(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)
For CM;
C(1,6) and M(3,0)
(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
Given DC = 27, A F=46, find BC.
Answer:
23
Step-by-step explanation:
BC is parallel to AtoF
BC = (1/2)AtoF
BC = (1/2)46
BC = 23
The length of side BC will be 23. Option C is corect.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
QUESTION 3 3.1.1 If y= 2x2 - 1. What is the value of y when x = -2?
Answer:
7
Step-by-step explanation:
answer is in photo above
The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected? A. The mean will shift to the right. B. The mean and the median will be the same. C. The median will shift to the right. D. The mean will shift to the left.
Answer:
D. The mean will shift to the left.
Step-by-step explanation:
Given that the price range of the car is between $5000 and $45000 ;
Hence, if the demand for cars that cost less than $5000 is in high demand, such that about 200 cars was sold ; This will lead to a shift in the mean price of car, $5000 towards the $5000 value. Since $5000 is to the left, then the mean price will shift to the left of the distribution.
Find the length of the hypotenuse to the nearest tenth (example 4.5)
6
co
2
Answer:
hypotenuse = 6.3
Step-by-step explanation:
here 6 and 2 are the legs of the triangle . we are asked to find hypotenuse (longest side)
using pythagoras theorem
a^2 + b^2 = c^2
6^2 + 2^2 = c^2
36 + 4 = c^2
40 = c^2
[tex]\sqrt{40}[/tex] = c
6.32 = c
6.3 = c