Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
The revenue from selling x units of a product is given by y=-0.0002x^2+20x. How many must be sold in order to have the greatest revenue? Please show work.
Answer:
The number of units that must be sold in order to have the greatest revenue is 50,000 units
Step-by-step explanation:
Given;
y = -0.0002x² + 20x
where;
y is the revenue
x is the units of the product
The equation above is a quadratic equation, to obtain the value of x (units) that will give maximum value of y (revenue), we differentiate the equation.
dy/dx = -0.0004x + 20
Now, equate the differential value to zero, in order to get the value of x that will make the equation maximum.
-0.0004x + 20 = 0
-0.0004x = -20
x = (-20) / (-0.0004)
x = 50,000 units
Therefore, the number of units that must be sold in order to have the greatest revenue is 50,000 units
What is the equation of the line?
Answer:
y=2x+8
Step-by-step explanation:
All of the choices are in slope-intercept, or y=mx+b form where m is the slope and b is the y intercept. Therefore if the slope is 2, and the y intercept is 8 the equation should be y=2x+8.
Find the surface area of the figure. Round the the nearest hundredth.
Answer:
Step-by-step explanation:
surface area of cylinder=2πrh
SA=1/2×2×π×3×25+2 ×(1/2×π×3²)=75π+9π=84π≈84×3.14≈263.76 cm²
if lowerside is also counted then area of lower side=25×6=150
total surface area=263.76+150=413.76 cm²
if we take π=22/7
84 π=84×22/7=12×22=264 cm²
if base is also counted then area=264+150=414 cm²
ASAP MULTIPLE CHOICE:
Which equation could be solved using this application of the quadratic formula?
A. -2x2 − 8 = 10x − 3
B. 3x2 − 8x − 10 = 4
C. 3x2 + 8x − 10 = -8
D. -2x2 + 8x − 3 = 4
Answer:
3x^2 +8x -10=-8
Step-by-step explanation:
A quadratic equation is
ax^2 + bx +c=0
has a formula
-b ± sqrt( b^2 -4ac)
--------------------------
2a
We know a = 3 b = 8 and c = -2
3x^2 +8x -2=0
Subtract 8 from each side
3x^2 +8x -2 -8=0-8
3x^2 +8x -10=-8
That is choice C
Answer:
C.
Step-by-step explanation:
Consider equation C:
3x^2 + 8x - 10 = -8
3x^2 + 8x - 2 = 0
Here a = 3, b = 8 and c = -2
Applying the quadratic formula:
x = [-b +/- √(b^2 - 4ac)] / 2a
x = [-8 +/- √(4(3)(-2)] / 2(3)
- which is the one in the question.
So it is equation C.
-2(6x+4) =88
what’s the equation for x ?
Answer:
X= 4 or -4. Brainliest would be appreciated if it’s correct :-)
Step-by-step explanation:
Answer: it’s -8
Step-by-step explanation:
hope this helps please award brainly
tEN Percent of $4.30
Answer:
0.43
Step-by-step explanation:
We can move the decimal to the left if it is ten percent multiplied and we see here that we multiply the 10 percent.
Answer:
.43
Step-by-step explanation:
ten percent of 4.30
10% * 4.30
Change to decimal form
.10 * 4.30
.43
What does circumference stand for?
Answer:
Think of it as the perimeter of the circle
Answer:
the enclosing boundary of a curved geometric figure, especially a circle.
The circumference of a circle is related to one of the most important mathematical constants. This constant, pi
Step-by-step explanation:
x=?? hurry i will give brainliest
Answer:
X = 50
Step-by-step explanation:
180-80=100. 100/2=50
50+50+80=180
All angles add,up to 180
What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2
Answer:
Step-by-step explanation:
The domain of this quadratic is "all real numbers." The function is defined for all x.
Find the missing angle measurements
Answer:
The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/
Step-by-step explanation:
Hurry please!!
Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7
the expression is 7 + (1/2)x which represents the phrase “seven more than half of a number option (C) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The algebraic expression represents the phrase:
“seven more than half of a number”
As we know, expression can be defined as the combination of constants and variables with mathematical operators.
Let y be the number:
y = 7 + (1/2)x
The above equation represents the linear equation.
Thus, the expression is 7 + (1/2)x which represents the phrase “seven more than half of a number option (C) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ6
The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?
Answer:
9.5
Step-by-step explanation:
Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.
hi what is the answer for this
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
area of a circle is pi x r x r
since it is a quarter
1/4 x pi x 8 x 8 = 16 x pi
Answer:
formula = pi× r²× 1/4
Step-by-step explanation:
since radius = 8
3.14×8×8 = 3.14×16
4
therefore the answer is pi × 16
If (2 - 3) + (x + y) = 6, what is x + y?
4 + 3
B.
4-31
C.
-4 - 31
-4+ 37
4x + 37
3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
Think About the Process The circumference of one coin is 8.03 cm. The circumference of another
coin is 0.33 cm smaller. What is the first step to find the diameter of the smaller coin? What is the
22
diameter of the smaller coin? Use for .
7
What is the first step to find the diameter of the smaller coin?
Answer:
First step will be option D.
Diameter of the smaller coin will be 2.45 cm
Step-by-step explanation:
Circumference of one coin = 8.03 cm
Circumference of the smaller coin = Circumference of the larger coin - 0.33
= 8.03 - 0.33
= 7.7 cm
Circumference of the smaller coin = 2πr = 7.7
r = [tex]\frac{7.7}{2\pi }[/tex]
r = [tex]\frac{7.7\times 7}{2\times 22}[/tex]
r = 1.225 cm
Diameter of the smaller coin = 2 × radius of the smaller coin
= 2 × 1.225
= 2.45 cm
Therefore, first step will be option D.
Diameter of the smaller coin will be 2.45 cm
A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
Pls Show Work
Answer:
Width of Pathway; 2 meters
Step-by-step explanation:
To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒
Increase length on one side * 2, if increased length / width ⇒ x, 2x
From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );
( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,
72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,
4x^2 + 36x - 88 = 0 ⇒ Factor,
4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,
x = 2, and x = - 11;
Now the width can only be a positive value, thus;
Solution; Width ⇒ 2 meters
Find the value of x. Will mark brainliest.
Answer:
15
Step-by-step explanation:
Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!
Step-by-step explanation:
I think its 5 for x if you do 15/3=5 I think
Complete the following
true or false a survey is the only way to collect date
Answer:
False and also the last word is data not date.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Below is the data of ages at the local amusement park on a certain day.
17, 18, 17, 17, 20, 22, 17, 18, 13, 14, 19, 14, 13, 33, 31, 8, 9, 10, 8, 8, 16, 17, 19, 35, 29, 8, 10, 15, 17, 30, 29, 5, 9, 10, 15, 14
Provide the intervals and frequencies you would use to construct the histogram for this data set.
Answer:
39
Step-by-step explanation:
To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35. A general rule would be 5-7 intervals, I will use 5.
Here are the intervals with the number of people that were in each:
1-7 (9)
8-14 (14)
15-21 (8)
22-28 (3)
29-35 (5)
14+9+8+3+5=39
5 + w + 21
What is the answer helped me please
Answer:
w+5=7
Step-by-step explanation:
What is the area of this figure
180 square inches
190 square inches
45 square inches
96 square inches
Answer 190 square inches
Step-by-step explanation:
If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.
Answer:
190 square inches.
Step-by-step explanation:
here is my work to follow to figure out a problem like this.
Math lovers helpppppppppppppppppppppppppppppppppp. I'll mark you the brainlest
Answer:
12.6 = RU
Step-by-step explanation:
Using trig functions
Sin theta = opp/ hyp
sin 37 = RU/ RN
sin 37 = RU / 21
21 sin 37 = RU
12.63811549 = RU
To the nearest tenth
12.6 = RU
287 times what equals to 3,400
Answer:
11.85
Step-by-step explanation:
Answer: 11.8466898955
sorry it is such a weird number. That is just the facts.
Please help with this
Answer:
A. x = 5, -3
Step-by-step explanation:
The quadratic equation/formula is:
[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4x^2 - 8x -60=0[/tex]
Plug in the numbers according to the letter associated:
[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]
[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]
[tex]x = \frac{8+-32}{8}[/tex]
Solve for addition and subtraction:
[tex]x = \frac{8+32}{8}[/tex] [tex]x = \frac{8-32}{8}[/tex]
[tex]x = \frac{40}{8}[/tex] [tex]x = \frac{-24}{8}[/tex]
x = 5 x = -3
Help please will give brainly! Clara’s friend Brian decides to find his median as well. Find the median and type it in the answer box. What does the median show us?
Answer:
The median is 88. The median shows that Brian gets on average 88% on his tests.
Step-by-step explanation:
If you put the numbers in order and get the average of the two middle number, it is 88.
There are 8 carrots. Four friends take 2 carrots each. What fraction of the carrots
does each friend take?
Type the answer in the boxes.
Answer:
1/4
Step-by-step explanation:
8 divided by 2= 0.25=1/4
The fraction of the carrots that each friend takes will be 1/4 part.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
There are 8 carrots. Four companions take 2 carrots each.
The fraction of the carrots that each friend takes will be given as,
⇒ 2/8
Simplify the fraction, then we have
⇒ 2/8
⇒ 1/4
The small portion of the carrots that every companion takes will be 1/4 section.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Which points could be on the line that is parallel to Line G H and passes through point J? Check all that apply. (–3, 5) (1, 5) (3, −2) (3, 2) (5, 1)
Answer: (-3,5),(3,2),(5,1)
Step-by-step explanation:
Answer:
ade
Step-by-step explanation:
the height of a kicked soccer ball is represented by the function f(x)=8x-2x^2 where x is the number of seconds since the ball was iicked and f(x) is the height of the ball. when will the soccer ball hit the ground?
Answer:
Result at time x = 4 seconds the soccer ball hit the ground.
Step-by-step explanation:
At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.
So lets see after how many second (x) the height = 0 once again.
f(x) = 8x-2x^2
f(x) = 0
8x - 2x^2 = 0
Try to write the formula in two terms
-2x * (x - 4) = 0
When a product of two or more terms equals zero, then at least one of the terms must be zero.
Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.
Any solution of term = 0 solves product = 0.
Solve the first term:
-2x = 0
Multiply left an right from the = singn with the factor -1 gives this outcome:
2x = 0
x = 0
Solve the second term:
x-4 = 0
x = 4
Result at time x = 4 seconds the soccer ball hit the ground.
x = 4
x = 0
