Answer:
y = 25 + 40x
Step-by-step explanation:
Let
y = the total amount of money Justin has
x = number of weeks
Amount Justin has in the bank = $25
Amount Justin earns per week = $40
Equation for how much money Justin has (including the amount he has in the bank) in x weeks
the total amount of money Justin has = Amount Justin has in the bank + (Amount Justin earns per week * number of weeks)
y = 25 + (40 * x)
y = 25 + 40x
The equation is
y = 25 + 40x
Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5
Answer:
its c
Step-by-step explanation:
i did it on ed
Answer:
Heres the answer!
Step-by-step explanation:
The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?
Answer:
s(2) = 17 cm
Step-by-step explanation:
We are told that the velocity function is;
v(t) = 6t² + 4t − 5 cm/sec
Integral of velocity gives distance.
Thus;
s(t) = ∫v(t) = ∫6t² + 4t − 5
s(t) = 2t³ + 2t² - 5t + c
We are told that s(0)=3 cm
Thus;
s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3
Thus; c = 3
Thus;
s(t) = 2t³ + 2t² - 5t + 3
At t = 2 secs
s(2) = 2(2)³ + 2(2)² - 5(2) + 3
s(2) = 17 cm
If BC = 5, DE = 9, and AB = 4, what is the length of AD?
7
8
7.2
7.5
There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
Factor 15x3 – 5x² + 6x – 2 by grouping. What is the resulting expression?
Nghiệm của bất phương trình | 2x - 3| - 1 <0
Answer:
x = 1 và 2 x= 1 and 2
Step-by-step explanation:
Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2
First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2
The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.
a. Find the domain.
b. What does the domain mean in this context?
Answer:
see below
Step-by-step explanation:
The domain is the values that the input takes
The values go from 0 to 7
0≤x≤7
This is the time from the initial launch until the object hits the ground
What value of x is in the solution set of -2(3x + 2) >-8x + 6
Answer:
x >5
Step-by-step explanation:
-2(3x + 2) >-8x + 6
Distribute
-6x-4 > -8x+6
Add 8x to each side
-6x-4+8x > -8x+8x+6
2x-4 > 6
Add 4 to each side
2x-4+4 > 6+4
2x> 10
Divide by 2
2x/2 >10/2
x >5
Step-by-step:
-2(3x+2)>-8x+6. divided by 2,-3x-2>-4x+3. the solution set of -2(3x+3)>-8x+6 is {x/x>5}
Answer:
6
Find the center and foci of the ellipse: 9x2 + 16y² + 126x + 96y + 441 = 0
Center : ( –7 , –3 )Focus 1: (–7 + √7 , –3 )Focus 2: ( –7 –√7 , –3 )
[tex] \frac{(x + 7)^{2} }{16} + \frac{(y + 3) ^{2} }{9} = 1 \\ \frac{(x - h)^{2} }{ {a}^{2} } + \frac{(y - k)^{2} }{ {b}^{2} } = 1[/tex]
a= 4 , b= 3 , k = – 3 , h = –7 The center: ( h , k ) —> ( –7 , –3 )[tex]c = \sqrt{ {a}^{2} - {b}^{2} } = \sqrt{ {4}^{2} - {3}^{2} } \\ = \sqrt{16 - 9} = \sqrt{7} [/tex]C = √7Focus 1: ( h + c , k ) —> ( –7 + √ 7 , –3 )Focus 2: ( h – c , k ) —> ( –7 –√7 , –3 )
I hope I helped you^_^
( a ) 2x + 3y − 5z ( ) 32
( b ) x + y + z ( ) 8
( c ) x
2 + 2xy + z
2
( ) 36
( d ) (x + y)(x + z) ( ) −1
( e ) −(x
2 − y
2
) ( ) −16
Answer:
Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.
One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.
Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.
Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.
In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of
nation:
What's 672 divided by 32
Answer:
the answer is 21
Step-by-step explanation:
For each question circle the best choice.
Which of the following is an algebraic expression?
x + 5 = 7
5 - 2x = 3
5x + 4- 2x
-2 = 3x +1
5x+4-2x là biểu thức đại số
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Rewrite the expression in the form z^n.
z^3/4 x z^2
Step-by-step explanation:
here's the answer to your question
Rewrite
4/10 : 1/25 as a unit rate.
A: 10:1
B: 25:4
C: 2:125
D: 100:1
Answer:
4/10 : 1/25
4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.
10 can also be written as 10:1, so A is correct.
Hope this helps!
x3 + (y +z) factorize
Find a and b. PLS HURRY!
Answer:
[tex]a \: and \: b = \frac{5}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{5} \\ \frac{1}{ \sqrt{2} } = \frac{a}{5} \\ a = \frac{5}{ \sqrt{2} } \\ \\ \\ \\ \sin(45) = \frac{b}{5} \\ b = \frac{5}{ \sqrt{2} } [/tex]
I hope I helped you^_^
The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents the parabola? y2 = –2x x2 = –2y y2 = –8x x2 = –8y
Answer:
[tex]\boxed{x^2=-8y}[/tex]
Step-by-step explanation:
[tex](a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y[/tex]
The equation which represents the parabola is x^2 = 8y, the correct option is C.
What is vertex form of a quadratic equation?
If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
We are given that;
Focus of parabola= (0,–2)
Now,
The vertex is halfway between the focus and the directrix on a line perpendicular to them. Since the focus is at (0,-2) and the directrix is y = 2, we can find that:
The vertex is at (0,0), because it has an x-coordinate of 0 (same as the focus) and a y-coordinate of 0 (the average of -2 and 2).
p is equal to 2, because it is half of the distance between -2 and 2.
Now we can plug in these values into the formula:
(x - 0)^2 = 4(2)(y - 0)
Simplifying, we get:
x^2 = 8y
Therefore, the equation of the parabola will be x^2 = 8y.
Learn more about vertex form of a quadratic equation here:
https://brainly.com/question/9912128
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Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Answer:
The 13th term is 81x + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
[tex]\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots[/tex]
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:
[tex]\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}[/tex]
Find the common difference by subtracting the first term from the second:
[tex]d = (4x+4) - (-3x - 1)[/tex]
Distribute:
[tex]d = (4x + 4) + (3x + 1)[/tex]
Combine like terms. Hence:
[tex]d = 7x + 5[/tex]
The common difference is (7x + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
[tex]\displaystyle x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:
[tex]\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)[/tex]
To find the 13th term, let n = 13. Hence:
[tex]\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)[/tex]
Simplify:
[tex]\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}[/tex]
The 13th term is 81x + 59.
2 + 16 + 48 factorizar
alguien que me ayude??
Answer:
2*6*11
Step-by-step explanation:
I am not sure what your question is because I think you are asking the factor of these numbers. so u do 2+16+48 which is 66 and if you prime factorize it then you get 2*6*11. so the answer is 2*6*11.
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
Find the y-intercept of the following equation. Simplify your answer.
y = -10x -3/7
Answer: (0, -3/7)
Step-by-step explanation:
The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.
What is the explicit formula for this sequence?
-9, - 3, 3, 9, 15, ...
Answer:
-15+6d
Step-by-step explanation:
The common difference of the sequence is -3+9=6
The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d
A plumber gave an estimate for the renovation of a kitchen. Her hourly rate is $55 per hour and the parts for the renovation will cost $234.
If her total estimate is $509.00, how long does she expect the job to take?
hours
a.6 hours
b.7 hours
c.4 hours
d.5 hours
Answer:
12 houra
Step-by-step explanation:
404-80=27x
324=27x
x=324/27
x=12 hours.
The job is expected to take 5 hours, Option d.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given problem,
Cost for parts = $234
Total estimate = $509.00
Amount left from total estimate after spending for parts = $( 509 - 234 )
= $275
Hourly rate for renovation = $55
Total hours = [tex]\frac{275}{55}[/tex] hours
= 5 hours.
Hence, we can conclude that she with $275, 5 hours of job can be afforded.
Learn more about unitary method here: https://brainly.com/question/19423643
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Hey please help for 100 points! Has to be accurate and explained well though for brainiest!
Question: Identify the property of equality(addition, subtraction, multiplication, or division) that could isolate this variable:
k - 4.5 = 9.8
Answer:
addition property of equality
Step-by-step explanation:
k - 4.5 = 9.8
Add 4.5 to each side using the addition property of equality
k-4.5 +4.5 = 9.8+4.5
k = 14.3
Answer:
Addition Property of Equality
Step-by-step explanation:
k - 4.5 = 9.8
~Add 4.5 to both sides
k = 14.3
Best of Luck!
Need help on this activity!!
In this activity, you will rearrange and solve a rational equation and find and use the inverse of a rational equation.
As we’ve seen, for a circuit with two resistors arranged in parallel, we can calculate the total resistance in the circuit, , in ohms, with this equation.
Question 1
Part A
Question
Rewrite the equation to represent the resistance of resistor 2, , in terms of and .
Answer:
My best guess rn is the first option
Step-by-step explanation:
the last dude had it close but it was basically flipped as you can tell.
The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]
We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]
First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]
[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]
Arrange all terms containing [tex]R_2[/tex] on one side
[tex]R_1R_2-R_TR_2=R_TR_1[/tex]
Factor out [tex]R_2[/tex] from the LHS
[tex]R_2(R_1-R_T)=R_TR_1[/tex]
Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]
[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]
Learn more about change of subject of formula here: https://brainly.com/question/343660
please help me with this problem
Answer:
Step-by-step explanation:
I'm not sure but i think your right
pls help i need to finish this asap !!
Answer:
b = -3
Step-by-step explanation:
Using the graph, when x=2
y = -3
Expand the following
(x+2x)(2s-2t)
(m-n)²
(k+9)²
(4a-3b)(c+6d)
please check the attachment for solutions
Can I please get help with these 2 questions about polygons
Answer:
a)139°
Step-by-step explanation:
two co interior angles make one opposite exterior angle
49+90=139°
What is the solution for z?
24=z/0.6?
Answer:
[tex]z=14.4[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]24=\frac{z}{0.6}[/tex]
Use inverse operations to solve this equation. Multiply both sides of the equation by (0.6) to undo the division of (0.6).
[tex]24=\frac{z}{0.6}[/tex]
[tex](0.6)(24)=z[/tex]
Simplify,
[tex](0.6)(24)=z[/tex]
[tex]z=14.4[/tex]
