Answer:
B
Step-by-step explanation:
Trisha has $100. So she has to spend less than $100 or exactly 100 on her friends. The sign to represent this is ≤ ( the less than or equal to sign )
so if she has 4 friends and wants to spend x on each friend, she would spend a total of 4x on her 4 friends.
Remember that she has to spend less than or equal to $100. The equation to represent this is 4x ≤ 100
Given the vertex (2,0) and the point on the parabola (1, 3) find the quadratic equation
Answer:
[tex]y=3(x-2)^2[/tex]
Step-by-step explanation:
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola, and a is a coefficient different from zero.
We are given the vertex located at (2,0). The equation is now:
[tex]y=a(x-2)^2+0[/tex]
[tex]y=a(x-2)^2[/tex]
Since we know the point (1,3) is on the parabola:
[tex]3=a(1-2)^2[/tex]
3=a(1)
a = 3
Finally, the quadratic equation is:
[tex]\mathbf{y=3(x-2)^2}[/tex]
The scatterplot for number of enrollments, N, in a sports club, t years after the
year 2006. The equation of the line of the best fit is N = 62t + 35. Find the residual
for the number of enrollments in year 2020 if the actual enrollment is 885
students.
Answer:
13.7 years
Step-by-step explanation:
The equation of the line of the best fit is N = 62t + 35
where
N is the number of enrollments
t is years after the year 2006
If the actual enrollment is 885 students. Put N = 885 in the given equation.
885 = 62t + 35
or
885 -35 = 62t
850 = 62t
t = 13.7 years
So, the required answer is 13.7 years.
−2(x + 9) + 25 = 14 − 3x
(step by step pls)
Answer:
-2x+18+25=14-3x
collect like terms
-2x+3x=14-25-18
x=29
Could somebody please help me with these?? It's due tomarrow
Example for Table 1:
y = x + 6
So if X=-8
1st Row -8+6=-2
2nd Row -4+6=2
3rd Row -2+ 6=4
4th Row -9+6=-3
5th Row 2+6=8
So for any table, the X in the table rule is the X that you are working on.
Answer:
i got you:
1) -2, 2, 4, -3, 8
2) 37, -3, 29, -67, -75
3) -36, 4, -4, -20, -12
4) -10, 6, -4, 8, 4
5) -2, 18, -16, 6, -10
6) -4, -15, 2, 0, -6
7) -25, 23, 5, 29, 11
8) 24, 38, -60, 3, 10
9) 2, 4, 9, -1, -3
10) -14, -8, -15, -10, -16
11) 9, 18, -21, -3, -24
12) -10, 35, -73, 71, -19
hope that helps
Step-by-step explanation:
What the answer to this plz help
Answer:
9
Step-by-step explanation:
A farming community begins with one resident. Then every year, the number of residents multiplies by 10 Write an expression using an exponent to
represent the number of residents in the community after 5 years
Answer:
After 10 years , the number of residents in the community = 100,007.45
Step-by-step explanation:
Let P be the population of a farming community.
As we know that,
Exponential Growth model is :
P(t) = P₀[tex]e^{kt}[/tex] ........(1)
where P₀ is the initial state , k is the growth constant.
As given,
A farming community begins with one resident.
⇒At t = 0 , P(t) = 1
∴ Put t = 0 in equation (1), we get
1 = P₀[tex]e^{0}[/tex]
⇒1 = P₀
∴ equation (1) becomes
P(t) = [tex]e^{kt}[/tex] ......(2)
As given, every year, the number of residents multiplies by 10
⇒At t = 1 , P(t) = 10
∴ Put t = 1 in equation (2), we get
10 = [tex]e^{k}[/tex]
Taking ln both side we get
ln(10) = ln([tex]e^{k}[/tex] )
⇒2.3026 = k
∴ equation (2) becomes
P(t) = [tex]e^{2.3026t }[/tex]
Now, we have to find the population at t = 5
⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]
So, we get
After 10 years , the number of residents in the community = 100,007.45
If 10x−8y=2 and −7x−y=5 are true equations, what would be the value of−17x+7y?
Answer: 2.951
x = -0.576
y = -0.97
-17x + 7y
= -17(-0.573) + 7(-0.97)
= 2.951
If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10
Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5
Step-by-step explanation:
and 0.5 x 12 is 6
The measure of the side length of the triangle is 6. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
If triangles ADE and ABC shown in the figure below are similar.
From the figure, we have
x / 12 = 2 / 4
x = 6
Then the correct option is C.
The complete question is attached below.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
someone pls help me with math
Answer:
4x/5-2
Step-by-step explanation:
What is the value of g?
___°
Answer:
31 degrees
Step-by-step explanation:
Answer:
31 Degrees
Step-by-step explanation:
Since this is a right angle, it will equal 90 degrees.
Take 90 and subtract 59 to get g.
g = 31 degrees
The slope and Y-Intercept for y=-x+2
Answer:
1 and 2
Step-by-step explanation:
slope is 1
y intercept is 2
basically base it off the equation y = mx + b
the m is the slope, but since in this case there is no number before x, you just put 1, since 1 times x is just x and thats why its left out
the b is the y intercept, so in this case its 2
PLEASE ANSWER ASAP !!!!!
k(6)=0
#pglubestiehere
Answer: 0
Step-by-step explanation:
1) Go to x-value (6)
2) Locate the point
3) Identify the y -value
4) k(6) = 0
what is 6.1 - 18.7 ?
Answer:
-12.6
Step-by-step explanation:
Answer:
12.6 this is the answer
Step-by-step explanation:
sporting get up in subtracting numbers
Plssss some help me with my homework
Answer:
a = 8
Step-by-step explanation:
Pythagoras
hypotenuse² = Attitude ² + Base²
10² = a² + 6²
100 = a² +36
change side ; a² = 100-36
a² = 64
a = √64
a = 8 (Positive number only. not minus number)
so a = 8
hope it helps ☺️
24 Ft
8 feet
10 Ft
18 Ft
6 feet
14 Ft
CLEAR ALL
A sign broke during a storm The diagram shows how it fell. What was the original
height of the sign?
Answer:
18 ft I'm pretty sure if not then I dunno
What is this? Someone please help me
Answer and Step-by-step explanation:
Haven't done this in a while, so here we go:
The rule (I'm not really sure) would have to be negative number and negative number.
This means that:
(4, 0) would become (-4, 0) A'
(6, -2) becomes (-6, 2) B'
(8, -7) becomes (-8, 7) C'
and (0, -5) becomes (0, 5) D'
#teamtrees #WAP (Water And Plant)
Solve for x
7x = 2
Give your answer as a fraction in its simplest form
Answer:
2/7
Step-by-step explanation:
7x/7=2/7
Simplify:Cancel terms that are both the numerator and denominator
Solution: 2/7
Need help with these 2 questions pls help me will mark brainiest.
Answer:
Q2. CQ3. AStep-by-step explanation:
Q2
Given is the horizontal line x = 2It has zero slope as vertical change (rise) is zeroCorrect option is CQ3
The line is proportional relationship y = kx
Using point (8, 40), we can find the value of k:
40 = 8kk = 40/8k = 5Roland earns $5 per hour
Correct option is A
which of these operations should be completed first.…
Answer:
brackets
Step-by-step explanation:
Ya ave to use BIDMAS nd the B in BIDMAS stands for brackets
Patrick is riding his bike on a rectangular path around his city.
There is a rest area at each of the path's four corners.
• The city map shows the corners marked with coordinates of (2, 2), (1, 2), (1, -2), and (-2,-2).
Each unit represents 2.5 miles.
What is the perimeter of the path, in miles?
With the given coordinates it doesn't form a rectangle the correct set of the coordinates should be (2, 2), (1, 2), (1, -2), and (2,-2).
Answer:
The perimeter of the given rectangle that is formed by the given coordinates is 30miles.
Step-by-step explanation:
We are given the Rectangular coordinates such as
(2,2) , (1,2) ,(1,-2) (2,-2)
we will mark these point on the cartesian planes to understand the rectangle
We can apply the distance formula or we can just look on the cartesian plane to simply get the distance between two points
we get
[(2,2) ,(1,2) ] and [(1,-2) ,(2,-2) ] are two units apart each pair as they are parallel so our width is
W = 2 units
similarly
we now need the length
(1,2) and (1,-2) are four units apart
so our length will be four units
L= 4 units
we need the perimeter
Perimeter of the rectangle = 2( L+W)
= 2( 2 + 4)
= 2* 6 = 12units
Now we are given that 1 unit is equal to 2.5 miles so 12 units will be
= 12* 2.5 = 30 miles
Therefore The perimeter of the given rectangle that is formed by the given coordinates is 30miles.
what is the exact value of cos(7pi/8)
Answer:
cos ([tex]\frac{7\pi}{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Decimal value: −0.9238795325...
Step-by-step explanation:
Write,
cos [tex]\frac{7\pi}{8}[/tex] = cos [tex](\pi-\frac{\pi}{8})[/tex] = −cos [tex]\frac{\pi }{8}[/tex]
Now using half angle formula, cos(x) = 2 cos²([tex]\frac{\pi }{2}[/tex]) − 1, we can write cos [tex]\frac{\pi }{4}[/tex] = 2
cos²([tex]\frac{\pi }{8}[/tex]) − 1
This means [tex]\frac{1}{\sqrt{2}}[/tex] + 1 = 2 cos²([tex]\frac{\pi }{8}[/tex])
2 cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{\sqrt{2}}[/tex]
cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{2\sqrt{2}}[/tex]
cos([tex]\frac{\pi }{8}[/tex]) = [tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex]
Simplify,
[tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex] = [tex]\sqrt{\frac{2+\sqrt{2}}{4}[/tex] = [tex]\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Hence,
cos ([tex]\frac{7\pi}{8}[/tex]) = −cos ([tex]\frac{\pi }{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
The exact value of cos(7pi/8) is [tex]\rm -\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex] and this can be determined by using the trigonometric properties.
Given :
Expression -- [tex]\rm cos(\dfrac{7\pi}{8})[/tex]
The following steps can be used to determine the exact value of the given expression:
Step 1 - Write the given expression.
[tex]=\rm cos(\dfrac{7\pi}{8})[/tex]
Step 2 - Rewrite the above expression.
[tex]= \rm cos(\dfrac{8\pi - \pi}{8})[/tex]
Step 3 - The above expression is reduced to:
[tex]= \rm -cos(\dfrac{ \pi}{8})[/tex] --- (1)
Step 4 - According to the trigonometric properties:
[tex]\rm cos(x) = 2 cos^2(\frac{x}{2})-1[/tex]
Step 5 - Substitute the value of x = [tex]\pi[/tex]/4 in the above expression.
[tex]\rm cos(\frac{\pi}{4}) = 2 cos^2(\frac{\pi}{8})-1[/tex]
Step 6 - Simplify the above expression.
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{\dfrac{1}{\sqrt{2}} +1}{2}}[/tex]
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{1+\sqrt{2} }{2\sqrt{2} }[/tex]
[tex]\rm cos(\frac{\pi}{8})=\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
Step 7 - Substitute the value of cos([tex]\pi[/tex]/8) in the expression (1).
[tex]\rm -cos(\frac{\pi}{8})=-\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
For more information, refer to the link given below:
https://brainly.com/question/17081568
(2a-3)(b-a)-3a(3a+b)
Answer: -ab - 11a^2 - 3b + 3a
Step-by-step explanation:
i think this is what you're wanting? if not just comment what you need and i'll retry it!
Complete the statements.
Graph ____has one real root.
Graph ____ has a negative discriminant.
Graph ____has an equation with coefficients
There is a different one like this but it doesn’t have the answer so plz help and this is my 2 try
Answer:
it's c
Step-by-step explanation:
4 times 10 times 6 is 240 and you use volume because its by 3 values.
hope this helped!
Walker earns the same amount of money each month for allowance his Xbox Live Gold subscription is 1/5 of his monthly earnings and he pays a total of $132 each year for his subscription how much does Walker earn each month in dollars
A. $11
B. $26.50
C. $55
D. $660
Is this correct??????
Answer:
yes it is great job
Step-by-step explanation:
What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
Witch of the following tables represents a proportional relationships?
Answer:
C
Step-by-step explanation:
The relationship is y = 3x
Answer:
I think the answer is C because 0×3=0, 2×3=6, 4×3=12, 6×3=18.
5 1/6 x 2 2/7 as a mixed number
Answer:
11 17/21 :)
Step-by-step explanation:
120 cm
B
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles.
90 cm
105 cm
А
C
100 cm
Similar
Not Similar
80 cm
A and B
75 cm
B and C
A and
Answer: a and b only are similar
Step-by-step explanation:
Ad/ab= de/bc similar triangles have proportional sides
Answer:
The true answer below
Step-by-step explanation: