Answer:
7
Step-by-step explanation:
2(5) -3
10-3
7
Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain
Answer:
Part AThe x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).
The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.
The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.
In the first interval the sale and profit increases, in the second interval the sale and profit decreases.
Part BAverage rate of change from x = 3 to x = 5 is:
(f(5) - f(3))/(5 - 3) = (60 - 120)/2 = -30This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.
Part CThe domain is representing the price. It should be profitable so it is between $0 and $6.The first four terms of a sequence are, 9,2,-5,-12.
State the pattern of the sequence using algebraic expressions.
Answer:
[tex]a_{n}[/tex] = 16 - 7n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , then
[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n
8x square + 1 + 3square - 2
Answer:
8x^2-1+3^2
Step-by-step explanation:
toán 9 nha mọi người
Answer:
Thamkhao
Step-by-step explanation:
Geometry, please answer question ASAP
BECAUSE ACCORDING TO THE PERIMETER (TRIANGLE ) FORMULA = B * H / 2.
B = BASE.
H = HEIGHT.
THE HEIGHT IS A VARIABLE VLAUE NEEDED IN ORDER TO ONTINUE TO SOLVE AND EVENTUALLY LEADING TO THE ANSWER (TRIANGLE PERIMETER.
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Answer:
[tex]4xy[/tex][tex]12x[/tex]-------------
[tex]36x^3,\:22x^2,\:4xy[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 4xy
[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]Common factor
[tex]2x[/tex]---------------------
[tex]36x^3-22x^2-12x[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 12x
[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]Common factor
[tex]2x[/tex]OAmalOHopeO
What is the slope of the line that passes through the points (-20, 18) and (30, 14)?
Answer:
-2/25
Step-by-step explanation:
Use the slope formula: rise/run to find the slope
Answer:
slope = - [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 20, 18) and (x₂, y₂ ) = (30, 14)
m = [tex]\frac{14-18}{30-(-20)}[/tex] = [tex]\frac{-4}{30+20}[/tex] = [tex]\frac{-4}{50}[/tex] = - [tex]\frac{2}{25}[/tex]
Harish
covers
3/10
of the distance between two cities in
1 4/5
hours. If he travels at the same speed, how much of the total distance would he cover in
3 1/5
hours?
Answer:
Step-by-step explanation:
Distance traveled in [tex]1\frac{4}{5}[/tex] hours = [tex]\frac{3}{10}[/tex]
Distance traveled in 1 hour = [tex]\frac{3}{10}[/tex] ÷ [tex]1\frac{4}{5}[/tex]
[tex]=\frac{3}{10}[/tex] ÷ [tex]\frac{9}{5}[/tex]
[tex]= \frac{3}{10}*\frac{5}{9}\\\\=\frac{1}{2}*\frac{1}{3}\\\\=\frac{1}{6}[/tex]
distance traveled in 3 1/5 hours = [tex]\frac{1}{6}*3\frac{1}{5}[/tex]
=[tex]=\frac{1}{6}*\frac{8}{5}\\\\=\frac{1}{3}*\frac{4}{5}\\\\=\frac{4}{15}[/tex]
Two similar pyramids have similarity ratio 3:5 find the ratio of the areas and the ratio of the volume
Answer:
Area=9:25 Volume=81:625
Step-by-step explanation:
Should be squared, might be wrong.
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)
if X=2
y=-1
z=3
Find the value of
a. 2y3(cube) z2(square)
Step-by-step explanation:
2y³z²
2(-1)³(3)²
=2(-1)(9)
=-18
the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula
plzzz answer fast i will mark brainliest.
Answer:
A ≈ 21.22 m²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi perimeter and a, b, c the sides of the triangle.
Here the perimeter of the equilateral triangle is 21 m , then
a = b = c = 21 ÷ 3 = 7 m
s = 21 ÷ 2 = 10.5
Then
A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]
= [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]
= [tex]\sqrt{450.1875}[/tex]
≈ 21.22 m² ( to 2 dec. places )
-5x(x+1)
simplify the answer
Answer:
[tex]-5x^2-5x[/tex]
Step-by-step explanation:
[tex]-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x[/tex]
Answer:
-5x^2 -5x
Step-by-step explanation:
-5x(x+1)
Distribute
-5x*x +-5x*1
-5x^2 -5x
Help me solve this please!
Answer Should be 45
Answered by Gauthmath must click thanks and mark brainliest
What is the length of segment AB
A) 3
B) [tex]\sqrt{20}[/tex]
C) [tex]\sqrt{41}[/tex]
D) 9
Answer: [tex]\large \boldsymbol {C) \ AB=\sqrt{41} }[/tex]
Step-by-step explanation:
The formula for the distance between points:[tex]\bf AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] Coordinates of point A (0;5 ); coordinates of point B(4;0)[tex]\bf AB= \sqrt{(0-4)^2+(5-0)^2} =\sqrt{16+25} =\sqrt{41}[/tex]
The surface area of a cylinder is given by the formula
S = 30πr + 2πr2
How many times greater is this compared to a circle with A = πr2
Answer:
[tex] x = \frac {30}{r} + 2 [/tex]
Step-by-step explanation:
Given the following data;
S.A of cylinder = 30πr + 2πr²Area of circle = πr²To find how many times greater is the S.A compared to the area, we would have to divide the surface area (S.A) of the cylinder by the area of circle.
Let the unknown variable be x.
[tex] x = \frac {30 \pi r + 2 \pi r^{2}}{\pi r^{2}} [/tex]
Factorizing the numerator, we have;
[tex] x = \frac {\pi r(30 + 2r)}{\pi r^{2}} [/tex]
Dividing both sides by πr, we have;
[tex] x = \frac {30 + 2r}{r} [/tex]
Simplifying further, we would have;
[tex] x = \frac {30}{r} + 2 [/tex]
Identify one similarity and one difference between the graph of 2x + 4 and the graph of y= -1/2x + 4
Answer:
Similarity: Both graphs have same y-intercepts.
Difference: Graph 2x + 4 has a slope of 2 while the graphic -½x + 4 has a slope of -½
Step-by-step explanation:
[tex]{ \sf{y = mx + b}}[/tex]
m is the slope
b is the y-intercept
Please explain, thank you
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35
Step-by-step explanation:
concept :concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines areconcept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10or, y = (5/4)x(5/2). .....(1)5y + 4x = 355y + 4x = 35ory = (-4/5)x + 7. ......(2)Let m and n be the slope of equations i and ii, respectively.Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Hence, the lines are perpendicular.Help Exit This Box-and-Whisker Plot displays the distribution of scores of a recent physics test. What is the median number of this set of physics test scores? Physics Test Scores
Answer: A) 87
The median value is the second quartile (Q₂), which is 87.
Answer:
A: 87
Step-by-step explanation:
Sorry for this very late response. But if anyone is not sure if answer A is correct, it is. I can confirm this because I just took the test. I hope I could help! (:
Helpless! I need help.
Answer:
0
Step-by-step explanation:
r=5
So
=5⁴-5(5)³-4(5)²+5(5)+75
=5⁴-5(125)-4(25)+5(5)+75
=625-625-100+25+75
=0
Ai giải giúp mình giải bài này với
[tex]\sqrt{36x^{2} -60x+25} =4[/tex]
Answer:
x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{36x^2-60x+25}=4[/tex]
=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]
=> [tex]{36x^2-60x+25}=16[/tex]
=> [tex]36x^2-60x+25-16=16-16[/tex]
=> [tex]36x^2-60x+9=0[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]
=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]
=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]
A cylindrical vase has a volume of 192.5 cubic centimeters. The height of this vase is 5 centimeters. The formula for the volume of the cylinder is πr^2h where r is the radius and h is the height of the vase. Find the radius of this vase.(Given that π ≈ 22 / 7 )
Answer:
3.5 cm
Step-by-step explanation:
v = πr²h
r = radius
π = 22/7
h = height
192.5 = 22/7 x 5 x r²
divide both sides of the equation by (7/22 x 1/5)
192.5 x 7/22 x 1/5 = r²
r² = 12.25
find the square root of both sides
r = 3.5cm
| 3 x - 2 | = 4x + 4
Answer: -2/7
|3x - 2| - 4x = 4
1) (3х - 2) - 4х = 4, if 3x - 2 >= 0
2) -(3x - 2) - 4x = 4, if 3x - 2 < 0
1)
3х - 4х = 4 + 2
-x = 6
x = -6
3х - 2 >= 0
3х >= 2
x >= 2/3 - wrong
2)
-3х + 2 - 4х = 4
-7х = 2
x = -2/7
3x-2<0
3x<2
3(-2/7)<2-right
Find the missing number.
____ × 7 = 91
please help me
Answer: 13
Step-by-step explanation:
Take 7 to the other side and divide 91 by 7, the answer will be 13.
repost , can someone help asap!
Answer:
y = -3/4x + 3
Step-by-step explanation:
The table shows values for a quadratie function
What is the average rate of change for this function for the interval from 1
Please see
Pic
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 3 ] , then
f(3) = 18 ← value of y when x = 3
f(1) = 2 ← value of y when x = 1
Then
average rate of change = [tex]\frac{18-2}{3-1}[/tex] = [tex]\frac{16}{2}[/tex] = 8 → B
2. Give an example of a rational number that is not a whole number.
This are a few of Rational numbers are not whole numbers: 8,−3,32,7−5.
Step-by-step explanation: Hope this helps
I need help pls pls pls pls
Answer:
1. -18x+6
multiply everything inside with the number outside the bracket
2. -18x-6
same as number one
3. 18x-12
same as number one
4. -18x-6
same as number one
for 5 I can't see it well but it should be similar
you just need to substitute what's outside the bracket to what Is inside the bracket
Answer: -6 (3x+1)
Step-by-step explanation:
Factor the polynomial -18x-6−18x−6 by it's GCF: -6−6
if an object is bought for rupees 90 and then sold for a loss of 15% how much was it sold for
Answer:
76.50
Step-by-step explanation:
We are given the fact that you bought an object for 90 dollars, and in which you sold said object for a loss of 15%, we are then asked how much would that object be sold for.
To find the answer, we need to subtract the original amount by the percent loss, so :
90 - 15%
15% of 90 is 13.5, therefore :
90 - 13.5
76.5