Answer:
function 2
function 1
function 3
Step-by-step explanation:
function 1 has a slope of -2, function two has a slope of -8/3 or approximately -2.6 function three has a slope of -11/6 or approximately -1.8
Michael opened a savings account at an annual interest rate of 5%. At the end of 3 years, the account balance is $4630.50. If Michael did not add any other amounts to this account, how much was his initial deposit?
Answer:
$4026.52
Step-by-step explanation:
Given data
rate= 5%
time= 3years
A=$4630.50
P=?
we know that
A=P(1+rt)
$4630.50=P(1+0.05*3)
$4630.50=P(1+0.15)
$4630.50=P(1.15)
P=4630.50/1.15
P=$4026.52
The intitial amount is $4026.52
Divide £143 in the ratio 2 : 11
Answer:
22 : 121
Step-by-step explanation:
2 + 11 = 13
143 / 13 = 11
2 × 11 = 22
11 × 11 = 121
The amount of £143 is divided into two sections that are £22 and £121.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Divide £143 in the ratio 2: 11.
Let the amount of £143 be divided into two sections that are 'x' and 'y'. Then the equations are given as,
x + y = £143 ...1
x / y = 2 / 11 ...2
From equations 1 and 2, then we have
(2/11)y + y = £143
(13/11)y = £143
y = £121
Then the value of 'y' is given as,
x + £121 = £143
x = £143 - £121
x = £22
The amount of £143 is divided into two sections that are £22 and £121.
More about the solution of the equation link is given below.
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which number line shows the solution to 2/3 x - 5>3 ? PLS I NEED IT FOR RIGHT NOW
Answer:
DStep-by-step explanation:
to understand thisyou need to know aboutinequalityalgebraPEMDASfirst note: it will be more easy if we solve the inequality first
so let's solve it together
[tex] \frac{2}{3} x - 5 > 3[/tex]
[tex] \frac{2}{3} x > 8[/tex]
[tex]2x > 24[/tex]
[tex]x > 12[/tex]
so what we get
we get that x is greater than 12
so the answer would be dHHHHHHHELP MEEEEEEEEEEE
Answer:
4th one is the right answer.
| x | -2 | 1 | 2 | 3 |
| y | -6 | 3| 6 | 9 |
Step-by-step explanation:
The x and y relationship is in the form y=kx and the graph starts from the origin.
Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.
If using the method of completing the square to solve the quadratic equation x^2+20x+28=0x which number would have to be added to "complete the square"?
Answer:
100 will have to be added to both sides to complete the square
Step-by-step explanation:
Given:
x^2+20x+28=0
x² + 20x + 28 = 0
x² + 20x = -28
Using completing the square method of solving quadratic equation
Find the square of half of the coefficient of x
Coefficient of x = 20
Half of the coefficient of x = 20/2
= 10
Square of the half of the coefficient of x = 10²
= 100
Add the square of the half of the coefficient of x to both sides of the equation
x² + 20x = -28
x² + 20x + 100 = -28 + 100
(x + 10)² = 72
Answer:
(x + 3/2)^2 = 121/4
Step-by-step explanation:
khan academy gave me the answer. trust me bro.
Brie and Gillian were selling tickets to sports Night. Gillian sold about 6 adult tickets and 15 student tickets for a total of $48.00. Brie sold 8 adult tickets and 7 student tickets for a total of $38.00. What was the price of each ticket?
Step-by-step explanation:
Given data
let adults be x
and student be y
so
6x+15y= 48-----------1
and
8x+7=38-----------2
solve eqn 1 and 2
6x+15y= 48-----------1X 8
8x+7=38-----------2X 6
48x
+15y= 40
48x+7y= 38
subtract
8y=2
y= 2/8
y= 1/4
y= $0.25
from 8x+7=38
put y= 0.25
8x+7(0.25)=38
8x+1.75= 38
8x=38-1.75
8x=36.25
x=36.25/8
x=$4.5
4. The senior class at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Answer:
van=18
bus=59
Step-by-step explanation:
Let v=van & b=bus
1v+6b=372
1v=372-6b
4v+12b=780
Lets divide by 4
1v+3b=195
then
1v=195-3b
substitute in first expression
372-6b=195-3b
simplify
177=3b
b=59
then substitute
1v=195-3(59)
1V=18
Answer:
van=18
bus=59
Step-by-step explanation:
Let v=van & b=bus
1v+6b=372
1v=372-6b
4v+12b=780
Lets divide by 4
1v+3b=195
then
1v=195-3b
substitute in first expression
372-6b=195-3b
simplify
177=3b
b=59
then substitute
1v=195-3(59)
1V=18
You spent 2 hours on homework yesterday. Today you spend 4 hours. What is the percent of increase?
Answer:
See below
Step-by-step explanation:
With regards to the above, since 2hours was spent yesterday , and 4 hours today, the percentage of the increase would be 200%
The reason being that since double of the hours spent yesterday on homework were spent today, hence 200%
Lester orders a book for $35. He must pay a shipping charge of 12%. Show how to find 12% of $35 by using benchmark percents, then find the amount of the shipping charge.
Answer:
$4.2
Step-by-step explanation:
1. 12%=0.12
2. 0.12 of $35 = 0.12 × $35
3. = $4.2
NEED HELP ......
THANKS!!
3. The graph of a function g is given.
a. Which is larger f(0)or g(0) ?
b. Which is larger f(-3) or g(-3) ?
c.For which values of x is f(x)= g(x)?
At the specific domain x = 0. Larger means that graph is above another graph.
At x = 0, we can see that function f covers the function g. Therefore, function f is larger.
Which is larger f(-3) or g(-3)?This is the same as first question. Look at x = - 3. Notice that the graph of function g is above graph of function f at x = - 3. Therefore function g is larger.
For which values of x is f(x)=g(x)?Both graphs have intercepts to each others. Look at both graphs and you will see that f(x)=g(x) when x = -2,2
Answer[tex] \large \boxed {1. \: f(0)} \\ \large \boxed {2. \: g( - 3)} \\ \large \boxed {3. \: x = -2,2}[/tex]
Answer:
Please check the explanation.
Step-by-step explanation:
Given the graph of a function f and g.
Part a)
From the graph, it is clear that:
at x = 0, the value of y of function f is 3.
i.e. f(0) = 3
and
at x = 0, the value of y of function g is 0.5
i.e. g(0) = 0.5
Conclusion:
f(0) = 3
g(0) = 0.5
Therefore,
f(0) is larger.Part b)
From the graph, it is clear that:
at x = -3, the value of y of function f is -1.
i.e. f(-3) = -1
and
at x = -3, the value of y of function g is 2
i.e. g(-3) = 2
Conclusion:
f(-3) = -1
g(-3) = 2
Therefore,
g(-3) is larger.Part c)
From the graph, it is clear that at x = 2 and x = -2, both the graphs meet.
From the graph it is clear that:
at x = 2, f(2) = 2 and g(2) = 2at x = -2, f(-2) = 1 and g(-2) = 1In other words, both graphs are equal at x = 2 and x = -2.
i.e.
f(x) = g(x) at x = 2 and x = -2
What is the slop of the line y-3=5(x-2)
Answer:
5
Step-by-step explanation:
The equation is written in point slope form [ y - y1 = m(x - x1) ] where m = slope. "m" in the given equation is 5 which is the slope.
Best of Luck!
Answer:
y-3=5(x-2)
y-3=5x-10
10-3=5x-y
5x-y=7
slope=-(coefficient of x/coefficient of y)=-(5/-1)=5
Hey sorry to bother you but what is (x+4)^2
Answer:
x^2 + 8x+ 16
Step-by-step explanation:
Problem 1: Convert 85° to radians. Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
17pi/72
Step-by-step explanation:
To convert degrees to radians, multiply by pi/360 degrees.
85 ° • pi/360 °
The degrees cancel out and it becomes
85pi/360
Simplify
17pi/72
Fiona drives for 4 hours.
Her average speed is 25.5 mph.
How far does Fiona drive?
Answer:
102 is the answer
Step-by-step explanation:
i hope I'm correct
The Opposite Of The Opposite Of $800 Is $800. Is His Reasonign correct?
Explain
Answer:
umm... i belive yes.
Step-by-step explanation:
this is beacuse..
800 opposite wold be -800 right
and then the opposite of -800 wold be 800
so 800 is equal to 800 cus ya
so yes i belve that this is true.
Nila has r red peppers and 88 green peppers. Write an algebraic expression that tells how many total peppers she has.
Answer:
X= R +88
Step-by-step explanation:
X for total peppers
3 x 10^-3 as an ordinary number
===============================================
Explanation:
Think of the first 3 as 3.0
The exponent -3 tells us to move the decimal point three spaces to the left
So the 3.0 turns into 0.003
We can say [tex]3.0 \times 10^{-3} = 0.003[/tex]
--------------
Other examples:
[tex]7.2 \times 10^{-2} = 0.072\\\\5.18 \times 10^{-1} = 0.518\\\\6.4 \times 10^{3} = 6400\\\\[/tex]
The negative exponent means "move that many spaces to the left", while the positive exponent has us move the decimal point that many spaces to the right.
For a craft project, two equilateral triangles are taped together to create a quadrilateral.
2 equilateral triangles are connected at one side to create a quadrilateral with congruent side lengths.
What is the quadrilateral?
rhombus
rectangle
trapezoid
square
Answer its rhombus
Step-by-step explanation: i took the test
The quadrilateral formed by the taping together of two equilateral
triangles is a rhombus.
How can the type of quadrilateral formed be known?The given types of triangles that form the quadrilateral are equilateral
triangles.
Given that the triangles have congruent side lengths, we have;
1) The side lengths of the quadrilateral formed are equal.
2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.
3) The other pair of opposite angles are also equal to 60° + 60° = 120°.
The altitude of an equilateral triangle is perpendicular to the base.
Which gives;
4) The diagonals bisect each other at right angles.
Therefore;
The adjacent angles are supplementary
Which gives;
5) The opposite sides are parallel.
The above properties are the properties of a rhombus
Therefore;
The quadrilateral formed is a rhombusLearn more about rhombus here:
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determine the total numbers of zero
f(x) = 23 – 3x2 – 2x + 6
Answer:
f(x) = 29
Step-by-step explanation:
f(x)=23-(3x0)-(2X0)+6
f(x)=23+6
f(x)=29
round 7,604 to the nearst thousand
Answer:
8,000
Step-by-step explanation:
If Hannah can drive 20 miles in 4 minutes, what is her unit rate in miles per minute?
Answer:
5 miles per minute
Step-by-step explanation:
20/4 = 5miles
5 miles / minute
A triangle with a base of 9 m has an altitude of 12 m which would give you the area of the tranigle
Answer:
A=54
Step-by-step explanation:
A=hb/2
h=12 b=9
12x9=108
108/2
54 Area=54
Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle fills 3 large boxes and 5 small boxes with 170 soup cans total. The boy working next to her fills 4 large boxes and 4 small boxes with 184 soup cans total. How many cans does each small box hold?
Answer:
The small box contains 21 cans
Step-by-step explanation:
Represent the small box with S and the large with L.
For Estelle:
[tex]3L + 5S = 170[/tex]
For the boy:
[tex]4L + 4S = 184[/tex]
Required
Determine the cans in the small box
[tex]3L + 5S = 170[/tex] --- (1)
[tex]4L + 4S = 184[/tex] --- (2)
Divide (2) through by 4
[tex]L + S = 46[/tex]
Make L the subject
[tex]L = 46 -S[/tex]
Substitute 46 - S for L in (1)
[tex]3L + 5S = 170[/tex]
[tex]3(46 - S) + 5S = 170[/tex]
Open bracket
[tex]128 - 3S + 5S = 170[/tex]
[tex]128 + 2S = 170[/tex]
Collect Like Terms
[tex]2S = 170-128[/tex]
[tex]2S = 42[/tex]
Divide both sides by 2
[tex]S = 21[/tex]
Hence, the small box contains 21 cans
Need help ASAP ILL LOVE U FOREVER
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image
of the point.
Answer: (-5,-5) --> (-x,-y)
Step-by-step explanation:
90 degree rotation: (-y,x)
180 degree rotation: (-x,-y)
270 degree rotation: (y,-x)
hey can someone please help me asap
Answer:
Nonproportional
Step-by-step explanation:
Hope This Helps
Please Help 100 Points
Answer:
it's answer is 3x - 3
y + x - 8 + 8x + 4 = 12x - 7
y + 9x - 4 = 12 x - 7
y = 12x -9x - 7 +4
y = 3x - 3
hope it helps you
Answer:
[tex]\Large \boxed{\sf 3x-3}[/tex]
Step-by-step explanation:
Perimeter is sum of all sides
Subtract both given sides from perimeter to get the missing side
[tex](12x-7)-( \ (x-8)+(8x+4) \ )=3x-3[/tex]
How many 1/3inch cubes does it take to fill a box with a width of 2 2/3inches, Length 3 1/3, and height 2 1/3inches?
Answer:hope this helps
Thus, it takes 560 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
Step-by-step explanation: