Answer:
d 120.24
Step-by-step explanation:
If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12
Answer:
the initial statement is
y
∝
x
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
x
to find k use the given condition
y
=
3
when
x
=
2
y
=
k
x
⇒
k
=
y
x
=
3
2
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
3
2
x
2
2
∣
∣
∣
−−−−−−−−−−−−
when
x
=
8
then
y
=
3
2
1
×
8
4
=
3
×
4
=
12
Step-by-step explanation:
Answer QUICK!! I’ll give tahnks and points
Write an expression for the nth term of...
2,1,0,-1...
Answer:
[tex]a_{n}[/tex] = 3 - n
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
1 - 2 = 0 - 1 = - 1 - 0 = - 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 1 , thus
[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n
Rewrite the equation 2y - 4x = 10 in function notation where f(x)= y.
f(x)=
Answer:
Answer:
f(x) = 5 + 2x
y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.
Answer:
f(x) = 5 + 2x
Step-by-step explanation:
2y - 4x = 10
+4x +4x
2y = 10 + 4x
Now we have a new equation but we have to isolate the variable y.
[tex]\frac{2y}{2}[/tex] = [tex]\frac{10 + 4x}{2}[/tex] Then divide to solve for y.
y = 5 + 2x
Since f(x) is the same thing/equal to y we can just replace that.
f(x) = 5 + 2x
Hope that helps and have a great day!
The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls, how many girls are in a class with 11 boys?
Answer:
17
Step-by-step explanation:
In ΔBCD, \overline{BD} BD is extended through point D to point E, \text{m}\angle CDE = (9x-12)^{\circ}m∠CDE=(9x−12) ∘ , \text{m}\angle BCD = (2x+3)^{\circ}m∠BCD=(2x+3) ∘ , and \text{m}\angle DBC = (3x+5)^{\circ}m∠DBC=(3x+5) ∘ . Find \text{m}\angle BCD.M∠BCD.
Answer:
Angle BCD is 13 degrees
Step-by-step explanation:
Here, we want to find the measure of angle BCD
To get this, we need an appropriate diagram. The diagram can be seen in the attachment.
To find the value of BCD, we can use an important triangle theorem.
This is that the sum of opposite interior angles of a triangle equals the exterior angle.
Thus, we have that;
BCD + DBC = CDE
hence;
3x + 5 + 2x + 3 = 9x-12
5x + 8 = 9x -12
9x-5x = 8 + 12
4x = 20
x = 20/4
x = 5
So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13
Answer:
13°
Step-by-step explanation:
just solved on delta math
2x + 7 = - 4x + 11
what’s the answer?
Answer:x=2/3
Step-by-step explanation:
There are 18 classes at Jerome Elementary. There are 23 students in each class.
Select all of the expressions that are not good ways to use compatible numbers
to estimate the number of students at Jerome Elementary.
A. 18 x 23
B. 20 x 20
<
C. 20 x 25
D. 10 x 20
E. 18 x 25
3 of 8 Answered
Answer:
b
c
d
e
Step-by-step explanation:
In direct variation, the constant of variation has the same
value as which of the following.
A. The y-intercept of its line
B. The X - intercept of its line
C. The slope of the line
D. The absolute value of the slope
of the line
Answer:
c. the slope of the line
Step-by-step explanation:
because i just know
The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
where m is slope of line
c is the y - intercept
Given is the direct variation of a quantity.
The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -
y = mx + c
for y - intercept = [c] = 0, we can write -
y = mx
m = y/x
which is the representation of direct variation.
Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
To solve more questions on direct variation, visit the link below-
https://brainly.com/question/14254277
#SPJ2
A. It has reflectional symmetry with one line of symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has no reflectional symmetry.
D. It has rotational symmetry with an angle of rotation of 60°.
NEED HELP!
Solve |t| - 2= -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1
Answer:
B
hope this helps :D
EMERGENCY! Please give me the correct answer!
Answer:
(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)
Step-by-step explanation:
Answer:
(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)
Step-by-step explanation:
it is the first option because you multiply the 5 by the 3 so it becomes 7 to the 15th power
Joshua decides to use synthetic division to find the the quotient of (equation provided above).
What value from the divisor should he write in front of the coefficients?
Answer:
the value to be written is -2
Step-by-step explanation:
The first thing we will do here is to set the divisor equals to zero
The divisor is the denominator
Thus, we have x + 2 = 0
This indicates that x = -2
The term to be written in front of the coefficients is -2
Answer:
73.75
Step-by-step explanation:
comment and heart if this was helpful
NEED HELP IM BEGGING YOU PLEASE!!!!!!!!!!!!!
Answer:
No
Step-by-step explanation:
-3 is supposed to be the answer for b so let's substitute -3 for b.
5(-3)+1=16
-15+1≠16
-15+1 is actually equal to -14
if the -3 would have been positive then it would be correct
34(3x+6)−14(5x−24) =
Answer:
32x+540
Step-by-step explanation:
Answer:
32x + 540
Step-by-step explanation:
1. Solve the multiplication:
102x +204 - 70x + 336
2.Simplify
32x + 540
The temperature dropped a total of 4 ° F over an 8 hour period. What was the hourly temperature drop?
Answer:
.5 degrees F per hour.
Step-by-step explanation:
⚠️⚠️⚠️⚠️⚠️⚠️⚠️
- WHATS THE NEGATIVE SLOPE??
- FIND M’S SLOPE
PLEASEEESWEEEEEEEEEEE⚠️
Answer:
Question 1: The negative slope is line j.
Question 2: M's Slope is 1/2.
Step-by-step explanation:
Question 1:
Way 1:
The negative slope is line j because it moves from left to right where the y points decrease while x is increasing.
Way 2:
Finding the slope also finds if it has a negative or a positive slope.
Line j has points (-1,3) and (0,0).
To solve for slope, you have to do (y2-y1)/(x2-x1).
To substitute the values, it gets to (0-3)/(0-(-1)).
To simplify that, it gets to -3/(0+1) which equals to -3/1. -3/1 in other words is -3.
Since the slope is a negative number, it has a negative slope.
Question 2:
To find the slope of line m, you have to find two points first.
The two points there are is (4,2) and (0,0).
Then you have to use the equation (y2-y1)/(x2-x1).
Once you find the numbers, you plug it into the equation getting (0-2)/(0-4).
To simplify that it gets to -2/-4. That equals -1/-2 once simplifying the fraction.
Since there are negatives in both numerator and denominator, the negative sign gets removed and it becomes 1/2.
Therefore, the slope for line M is 1/2.
(28 POINTS) write the next three terms in the sequence.
Answer:
25, 34, 43
Step-by-step explanation:
its +9 per number
what is the value of x when
5x+20=6x+35
Answer:
x=15 or 15=x hope this helps
PLEASE LOOK AT THE IMAGE ATTACHED ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
So, you wanna be a master?
Do you have the skills to be number 1?
(If not, I'll help you lol)
Okay, let's define what a circumference is.
Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.
The equation for finding the circumference is as follows:
[tex]2\pi r[/tex]
r - the radius, or half-way line is a circle.
So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.
#3
r = 15
[tex]2\pi (15) = 30\pi \\[/tex]
Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])
Circumference = 94.248
#4
r = 10
[tex]2\pi (10) = 20\pi \\[/tex]
Circumference = 62.832
From a ledge on rock wall, George climbs 30 feet. From there, he climbs-30 feet. What conclusion can you draw?
Answer:
back where he started
Step-by-step explanation:
First he went up 30 feet.
Then he went -30 feet.
Meaning that he went up the went back down.
Which is basically 30-30
I think that should be right.
3x + 10 = 5x
which situation can be represented by this equation? HELPPP
Answer:
X=5
Step-by-step explanation:
10=2x divided by 2 means x=5
The LCM of 4 and 7 is ______.
28 is the LCM of 4 and 7 as 4*7 = 28
Answer:
The LCM of 4 and 7 would come out to 28.
which equation represents a line parallel to the line y-5x=-6
Step-by-step explanation:
Coefficients before x and y should be equal to coefficients before x1 and y1 on every equation of lines that are parallel to the given line
General formula for them should be y-5x=b where b is every number we want.
So one of them could be y-5x=0 or y-5x=2 ...
factor the equation 25x^2+70x+49
Answer:
(5x+7)^2hope this helps
is 7m-2=8m+4-m an identity?
Find m angle Y
(6x – 23)
(4х + 9)
m angle Y = ?
a
54
b
34
C
73
d
16
Answer:
m<y= 34
Step-by-step explanation...
6x-23=4x+9
2x=32
x=16
m<y+m<z=180
m<y=73+73=180
m<y=34
An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.
The sum of the three angles is equal to 180 degrees.
The value of angle m∠Y is 34°.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Isosceles triangle:
Two sides are equal.
The angles opposite to the equal sides are also equal.
So,
From the figure we have,
6x - 23 = 4x + 9
Add 23 on both sides.
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Subtract 4x on both sides.
6x - 4x = 4x + 32 - 4x
2x = 32
Divide both sides by 2.
x = 32/2
x = 16
The sum of the three angles of the Isosceles triangle given must be 180 degrees.
6x - 23 + 4x + 9 + m∠Y = 180
Put x = 16
6x16 - 23 + 4x16 + 9 + m∠Y = 180
96 - 23 + 64 + 9 + m∠Y = 180
146 + m∠Y = 180
Subtract 146 on both sides.
m∠Y = 180 - 146
m∠Y = 34
Thus,
The value of angle m∠Y is 34°.
Option B is the correct answer.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. David's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $20.06 per week. After 8 weeks, he had $122.46 in the account. What was the balance when the account went into overdraft?
Answer:
The balance when the account went into overdraft was -38.02
Step-by-step explanation:
Let x be the balance when the account went into overdraft
To get back to a positive balance he deposited money at a steady rate of $20.06 per week.
Amount deposited per week = $20.06
Amount deposited 8 weeks = [tex]20.06 \times 8 =160.48[/tex]
Now amount in account after 8 weeks =x+160.48
We are given that After 8 weeks, he had $122.46 in the account.
So,x+160.48=122.46
x=122.46-160.48
x=-38.02
Hence The balance when the account went into overdraft was -38.02
Question 2: A line includes the points (20, 18) and (15, 13). What is its equation in
slope-intercept form?
y =
Answer:y=x
Step-by-step explanation: 13-18=-5
15-20=-5
-5/-5=1 slope
Using point slope take the first point and that slope to find the slope intercept.
Y-18=1(x-20)
Y=x-2
Which expression is equivalent to sin(1.8x) sin(0.5x)
Answer: 0.5(cos 1.3x − cos 2.3 x)
Step-by-step explanation:
Hey there!
In trigonometry which relates the sides and angles of the triangle, there is an identity which states that,
(sinA) (sinB) = 0.5(cos (A − B) − cos (A + B) )
In this item, our A and B are 1.8x and 0.5x, respectively.
Substituting,
sin(1.8x)sin(0.5x) = 0.5(cos (1.8x − 0.5x) - cos(1.8x + 0.5x))
sin(1.8x)sin(0.5x) = 0.5(cos 1.3x − cos 2.3 x)
~I hope I helped you! :)~
Answer:
It is C. 0.5(cos 1.3x − cos 2.3 x)
Step-by-step explanation:
I just took the test on PLATO