Let the original price = x
From X to get the new price you multiply by 1 + the percent of the increase which is 25%
1,25X = 2.00
Divide both sides by 1.25:
X = 1.60
The original price was B. 1.60
Answer:
x=1.60
Step-by-step explanation:
Let x be the original price
We increase by 25%
x+ .25x = new price
1.25x = 200
Divide each side by 1.25
x = 2.00/1.25
x=1.60
hi pls help.you do not have to do all 3. just either one will be ok pls explain as well:) thank you
Answer:
[tex]{7a^{5}b^{5} c\\[/tex]
Step-by-step explanation:
[tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]
→ First look at the first term of each expression and see if they can be simplified, and they can
[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]
→ Now look at the a terms, since a larger one is at the top, you subtract
[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]
→ Now simplify the b and c terms
[tex]{7a^{5}b^{5} c[/tex]
monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?
Answer:
linear. Each week adds another 10 dollars.
Step-by-step explanation:
Total = 340 + 10*w
w is the weekly amount
Suppose 5 weeks pass
Then the total amount in her bank account is
Total = 340 + 10*5
Total = 340 + 50
Total = 390
The equation is Linear.
please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6
Answer:
A and C
Step-by-step explanation:
5) logx+log(x+9)=2
log(x(x+9))=2, log(x^2+9x)=2
6) log(x^2+9x)=2
(x^2+9x)=36 or 6^2
In a triangle, a segment connecting the midpoints of two sides of the triangle is
called:
Answer:
A.) Midsegment
Step-by-step explanation:
Trust me bro
Please hurry I will mark you brainliest
Question’s Picture included*
Answer:
when you have 32 pennies the total mass will be 185
(X+3)= 1
(2x+5)=(3n+2)
Hello!
(x + 3) = 1
x + 3 = 1
x = 1 - 3
x = -2
(2x + 5) = (3n + 2)
[2 × (-2) + 5] = (3n + 2)
(-4 + 5) = (3n + 2)
1 = (3n + 2)
1 = 3n + 2
3n + 2 = 1
3n = 1 - 2
3n = -1
n = -1 : 3
n = -1/3
Good luck! :)
Can anyone help me with this question
Answer:
60
Step-by-step explanation:
A significant figure means the most important (biggest) number.
As it just wants 1 significant figure, you count 1 to the right and round the 6 up.
Hope this helps :)
What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?
Answer:
1
-----
(t+4)^2
Step-by-step explanation:
(t+3)
------- ÷ (t^2+7t+12)
(t+4)
Copy dot flip
(t+3) 1
------- * --------------------
(t+4) (t^2+7t+12)
Factor
(t+3) 1
------- * --------------------
(t+4) (t+4)(t+3)
Cancel
1 1
------- * --------------------
(t+4) (t+4)
1
-----
(t+4)^2
Answer:
answer is b
Step-by-step explanation:
Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)
The points on the graph ( b , c )
I hope I helped you ^_^
the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?
wt = ____
Answer:
w = 15 (4^t)
Step-by-step explanation:
Let w be what the function is equal to
Let t be the input variable
equation :
w = k a^t
Plug in any two of the points to solve for k and a
for example, let's take (1, 60) and (2, 240):
60 = k * a^1
k = 60 / a
240 = k a^2
Substituting:
240 = 60/a (a^2)
a = 4
k = 15
The function is
w = 15 (4^t)
Find the equation of the line that is parallel
to the line y = 3x + 9 and passes
through the point (2,1) Write the
equation in slope-intercept form.
Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 9 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, then
y = 3x + c ← is the partial equation
To find c substitute (2, 1) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 3x - 5 ← equation of parallel line
Please hurry I will mark you brainliest
Answer:
The sum of interior angle is 360°
Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]
From the given function, we have;
When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;
[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
From the given function, we have;
When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes, therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction tends to 0, therefore as x increases, we have;
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
quadratics formula 4x^2+3x-1=0
Answer: X = 1/4 or X = -1
Step-by-step explanation:
4x2+3x−1=0
(4x−1)(x+1)=0
4x−1=0 or x+1=0
4x=1 or x=-1
Now divide 4 from both sides
like this 4x/4=1/4
now cancel out two 4's so the answer will be x=1/4
Find the measure of each angle indicated.
A) 95°
C) 26°
B) 92°
D) 20°
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
Answer:
(C). 26°
Step-by-step explanation:
Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer leg. Determine the lengths of the three sides of the triangle. (3 marks)
Answer:
5, 12, 13
Step-by-step explanation:
let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg
Using Pythagoras' identity in the right triangle
x² + (x - 7)² = (x + 1)² ← expand using FOIL
x² + x² - 14x + 49 = x² + 2x + 1
2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )
x² - 16x + 48 = 0 ← in standard form
(x - 4)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 12 = 0 ⇒ x = 12
x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible
x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13
The lengths of the 3 sides are
longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m
Please Help!!
To find the distance AB across a river, a distance BC of 786 m is laid off on one side of the river. It is found that B = 110.2° and C = 13.5°. Find AB. I don't understand how to do this but I know you need to use the Law of Sines, so please show work.
Answer:
~ 220.6
Step-by-step explanation:
sine rule : a/sinA =b/sinB = c/sinC
AB/sinC =BC/sinA
A = 180 - 110.2 - 13.5 = 56.3 degrees
AB/sin13.5 = 786/sin56.3
AB = 786sin13.5/sin56.3 = 220.5506
The distance across the river of AB is 220.55 m.
What is Law of Sines?Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.
That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,
a / sin A = b / sin B = c / sin C
Given a triangle ABC.
We have,
∠B = 110.2° and ∠C = 13.5°
We know that the sum of the interior angles of a triangle is 180°.
∠A = 180 - (110.2 + 13.5) = 56.3°
Using the law of sines,
BC / Sin A = AB / Sin C
Substituting the values,
786 / sin (56.3°) = AB / sin (13.5°)
AB = (786 / sin (56.3°)) sin (13.5°)
= 220.55 m
Hence the distance is 220.55 m.
Learn more about Law of Sines here :
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i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have.(hint: one is the other simplified)
Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
The area of the regular hexagon is 169.74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared. What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answer: [tex]48.5\ ft[/tex]
Step-by-step explanation:
Given
Area of the regular hexagon is [tex]169.74\ ft^2[/tex]
Length of the apothem is [tex]l=7\ ft[/tex]
Suppose the side of the hexagon is a
Hexagon can be divided into six equal triangles with same area
Area of a single triangle is
[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]
Area of hexagon will be equal to area of 6 equal area triangles
[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]
Perimeter of the hexagon is
[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]
Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]
Answer:
C
Step-by-step explanation:
edge 2021
please please please answer!! will give brainliest and extra points!
For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.
Answer:
y = 4x - 8
Step-by-step explanation:
y = 4x + b
4 = 4(3) + b
4 = 12 + b
-8 = b
Can someone help please
Answer:
[tex]10^{-3}[/tex]
Step-by-step explanation:
Answer:
https://tex.z-dn.net/?f=10%5E%7B-3%7D
Step-by-step explanation:
The two cones below are similar. What is the value of x?
Cone 1
Height = 10
Radius = 3
Cone 2
Height = 3
Radius = x
A. 0.3
B. 0.9
C. 0.09
D. 0.18
Answer:
If they are similar, the ratio of 10/3 should be the same as the 3/x
then solve
10/3 = 3/x
cross multiply
10x=8
x = 9/10
so C. is the right answer
The missing value in the smaller cone is 0.9 units.
What is similarity?Similarity in math is a concept that relates to the shape and size of figures. Two figures are similar if they have the same shape, but not necessarily the same size.
Given that, two similar cones, we need to find the value of x in the smaller cone,
Since, the cones are similar, then according to the definition of similarity,
we know that the dimensions will be in equal proportion,
Let the dimensions of the big cone be H (height) and R (radius) and that of smaller cone be h (height) and r (radius)
So,
H / R = h / r
10 / 3 = 3 / x
x = 9/10
x = 0.9
Hence, the missing value in the smaller cone is 0.9 units.
Learn more about similarity, click;
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Write 1= 2x2 + 5x In standard form.
What is the value of b^2 - 4ac?
Answer:
2x^2+5x-1=0
ax^-bx+c=0
b^2-4ac = 5^2-4(2)(-1) =33
The quotient of five less than a number and six, is -4
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:
Step-by-step explanation:
[tex]2x + 3y = 12 \\ 3y = - 2x + 12 \\ y = - \frac{2}{3} x + 4[/tex]
slope is -2/3
y intercept is 4
Answer:
The slope is -2/3 and the y intercept is 4
Step-by-step explanation:
2x + 3y = 12
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
2x + 3y = 12
Subtract 2x from each side
2x-2x+3y = -2x+12
3y = -2x+12
Divide by 3
3y/3 = -2x/3 +12/3
y = -2/3 x +4
The slope is -2/3 and the y intercept is 4
Which is the graph of y = RootIndex 3 StartRoot x EndRoot?
Given:
The equation is:
[tex]y=\sqrt[3]{x}[/tex]
To find:
The graph of the given equation.
Solution:
We have,
[tex]y=\sqrt[3]{x}[/tex]
The table of values is:
x y
-8 -2
-1 -1
0 0
1 1
8 8
Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.
Answer:
D
Step-by-step explanation:
edge 2020
How could Brent use a rectangle to model the factors of \large x^2-7x+6?
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
Answer:He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
Step-by-step explanation:
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
solve
f(x)=4x5−8x4+8x2−4x
Given:
The function is:
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
To find:
The roots of the given equation.
Solution:
We have,
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
For roots, [tex]f(x)=0[/tex].
[tex]4x^5-8x^4+8x^2-4x=0[/tex]
[tex]4x(x^4-2x^3+2x-1)=0[/tex]
[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]
[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]
On further simplification, we get
[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]
[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]
[tex]4x(x+1)(x-1)^3=0[/tex]
Using zero product property, we get
[tex]4x=0[/tex]
[tex]x=0[/tex]
Similarly,
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
And,
[tex](x-1)^3=0[/tex]
[tex]x=1[/tex]
Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].
Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...
I’ll mark brainliest! Please help me
