Answer:
umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...
Step-by-step explanation:
The value of a jewel in 2015 was $17500. The jewel was purchased in 2008, and its value appreciated 2.5%
each year. What was the initial value of the jewel when it was first bought? Round to two decimal places
Answer:
$14722.14
Step-by-step explanation:
We are given that
In 2015
The value of jewel=$17500
Rate of appreciation, r=2.5%
We have to find the initial value of the jewel when it was first bought.
Time, n=7 years
Final value=[tex]Initial\;value (r/100+1)^n[/tex]
Using the formula
[tex]17500=Initial\;value(2.5/100+1)^7[/tex]
[tex]17500=Initial\;value(1.025)^7[/tex]
[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]
Initial value=$14722.14
Hence, the the initial value of the jewel when it was first bought=$14722.14
A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.
Answer:
y = 5/4x-15
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 5/4x+b
Substitute the point into the equation and solve for b
-5 = 5/4(8)+b
-5 = 10+b
Subtract 10 from each side
-5-10 = b
-15 = b
y = 5/4x-15
Step-by-step explanation:
y-y'=m(x-x')
y-(-5)=5/4(x-8)
y+5=5x/4-10
4(y+5)=4(5x/4)-10(4)
4y+20=5x-40
4y-5x=-40-20
4y-5x=-60
5x-4y-60=0
y=5x/4-15
The table shows values for functions f(x) and g(x)
X
f(a) = 2-2
g(x) = -22
-3
18
6
-2
4.
4
-1
2
2
0
0
1
2
2.
44
3
6
18
What is the solution to f(x) = g(x) ?
Select each correct answer.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
357 students went on a field trip. Eight
buses were filled and 5 students traveled
in cars. How many students were in each
bus?
Answer:
There were 44 students in each bus.
Step-by-step explanation:
357 - 5 = 352
352/8 = 44
Answer:
Step-by-step explanation:
Total students = 357
Total buses filled = 8
No of students traveled in car = 5
Remaining students = 357 - 5 = 352
Students in each bus = 352 ÷ 8 = 44 students
WHAT IS THE GRADIENT OF THE BLUE LINE?? NEED HELP URGENTLY
Answer:
gradient = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-2}{3-(-1)}[/tex] = [tex]\frac{-1}{3+1}[/tex] = - [tex]\frac{1}{4}[/tex]
Fine the angle of the triangle using sides
Answer:
35.54
Step-by-step explanation:
use inverse tan
soh cah toa
we have both opposite and adjacent so we are using tangent
[tex]tan^{-1} (\frac{5}{7} )[/tex]
put that into a calculator and it would give you approximately 35.54 degrees
Which days are part of line BE?
Answer:
B) Rays AB and AE
Step-by-step explanation:
Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a part of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.
Write the equation of the line in slope-intercept form that passes through (5, –4) and (1, 7).
Answer:
Slope=[tex]\frac{11}{-4}[/tex]
Step-by-step explanation:
Find the next three terms in the geometric sequence -3, 9, -27, 81, ...
Answer:
...-243, 729, -2187
Step-by-step explanation:
-3, 9, -27, 81, -243, 729, -2187
Everytime ×(-3)
-3×(-3)=9
9×(-3)=-27
-27×(-3)=81
Etc.
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3
Answer:
-23/9 or -2 5/9
Step-by-step explanation:
w+(-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9+(- 4/3) - 2/3
Get a common denominator of 9
-5/9 - 4/3 *3/3 - 2/3 *3/3
-5/9 - 12/9 - 6/9
-23/9
-2 5/9
Answer:
-2 5/9
Step-by-step explanation:
AABC is a right triangle in which zB is a right angle, AB = 1, AC = 2. and BC = V3.
COS Cx sin A =
The value of COS Cx sin A by the given data is V3/4.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
We are given that;
AB = 1, AC = 2 and BC = V3
Now,
To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.
We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.
cos C x sin A = (1/2) x (V3/2) = V3/4.
Therefore, by the trigonometric ratio the answer will be V3/4.
Learn more about trigonometric ratios;
https://brainly.com/question/21286835
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SOMEONE HELP ME PLEASE
Answer: P (3 or odd) = 1/2
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Use the coordinates of the labeled point to find the point-slope equation of
the line.
(2, -1)
Answer: (C) [tex]y+1=-2(x-2)[/tex]
Step-by-step explanation:
Slope: y = mx +b
By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3
So our slope is: y = -2x + 3
Now you just have to find the answer that matches.
What are the solutions to the quadratic equation below?
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
Instructions: Find the missing segment in the image below plz help me
Answer:
56
Step-by-step explanation:
that is the procedure above
The missing segment in the image below is 8.
The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.
missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]
missing [tex]segment^2[/tex] = 16 + 25
missing [tex]segment^2[/tex] = 41
missing segment = √41
Therefore, the missing segment is √41.
Here are the steps in detail:
Identify the small triangle that is formed by the two red lines and the green line.
Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of the missing segment.
To learn more about segment here:
https://brainly.com/question/12622418
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Can you answer this math homework? Please!
Step-by-step explanation:
[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]
Answer:
2x+3y=7x4
x+4y=8x3
8x+12y=27
3x+12y=24
8x-3x =5x
+12y-+12y=0
27-24=3
5x/5 3/5x
answer = x = 3/5
y=1.85
find the missing length indicated
Answer:
119?
Step-by-step explanation:
Which polynomial represents the sum below?
7x9.5x*-**8
5x 0.9x**
A. 5x10.7x8 + 5x5.9x+16
B. 5x10 + 7x8 + 5x5 + 8x+ 16
C. 12x18+1474+8x+ 16
D. 12/16 + 4X4+ 7x+ 16
what is the answer to this problem
9514 1404 393
Answer:
5.7·10^-3
Step-by-step explanation:
The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.
Frank tried to solve an equation step by step.
-5=5(d+4)
-5=5d+20 Step 1
15=5d Step 2
3=d Step 3
Find Frank's mistake
a) Step 1
b) Step 2
c) Step 3
d) Frank did not make a mistake
Answer:
B
Step-by-step explanation:
when grouping the like terms the 20 will become a negative therefore -20-5 is -25 so the 5d has to be divided into -25 and not 15.. making the rest of the answer wrong.
-5-20=5d
-25/5=5d/5
-5=d
I hope this helps
Answer:
Step 2
Step-by-step explanation:
khan
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
O 3(15 + 24)
O 9(5 + 8)
O (5)(9) + (2)(36)
O (3)(15) + (8)(9)
Answer:
9(5+8)
Step-by-step explanation:
The triangle below is equilateral. Find the length of side 2 in simplest radical form
with a rational denominator.
x
Submit Answer
Answer: 2
attempt 1 out of 2
PLS HELP
Answer:
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Step-by-step explanation:
From the figure attached,
ΔABC is an equilateral triangle.
Therefore, by the property of the equilateral triangle,
Measure of each angle = 60°
By applying tangent rule in the right triangle ADC,
[tex]\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{4}{x}[/tex]
[tex]x=\frac{4}{\sqrt{3}}[/tex]
[tex]x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }[/tex]
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Please solve #5 and explain how you solved it
Translate this sentence into an equation.
The sum of 22 and Greg's savings is 65.
Use the variable g to represent Greg's savings.
Answer:
22+g=65
Step-by-step explanation:
take the 22 add (sum) to g (the variable) and have them = 65
Me ajudem pfvr!!!!....
solve 3-x/2 less than or equal to 18
Answer:
x ≥ -30
Step-by-step explanation:
The equation is 3 - x / 2 ≤ 18.
First, subtract 3 on both sides:
- x / 2 ≤ 15.
Multiply by -2 on both sides and swap the less than or equal to sign:
x ≥ -30
Hope this helps!
What's the sum of the infinite geometric series where a1 = 240, and the common ratio is r = 1∕3 ?
A: 600
B: 720
C: 360
D: 480
I think its B because it is always B
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar