Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, her profit is modeled by:
[tex]P(x) = -x^2 + 14x + 57[/tex]
Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:
[tex]y_v = -\frac{14^2 - 4(-1)(57)}{4(-1)} = 106[/tex]
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
Which transformation would take Figure A to Figure B?
Answer:
a counterclockwise rotation of 270 around the origin
Read the picture pleaseeeeeeeeee
Answer:
the surface is about 4 square inches.
The number of square feet of cardboard needed is about 9 in.
Step-by-step explanation:
11.5213 divided by 0.7 show me how you got the answer .
Answer:
0 1 6. 4 5 9
7 1 1 5. 2 1 3
− 0
1 1
− 7
4 5
− 4 2
3 2
− 2 8
4 1
− 3 5
6 3
− 6 3
0
Step-by-step explanation:
Write an equation of the line passing through the points (−5, −25), (0, 0), and (3, 15).
Enter the equation in the box.
Answer:
y = 5x
Because the slope is 5 and the y-intercept is 0.
Step-by-step explanation:
https://brainly.com/question/21273710
Need the slope only as y intercept is already 0 .
Slope:-
m=y/xm=-25/-5m=5Equation of line
y=mxy=5x
Li has t toy bricks.
She only has red bricks and blue bricks.
Li picks two bricks, one after the other.
If the first brick she picks is red, the probability that the second brick is red is
is 23
is 1 0
7
If the first brick she picks is blue, the probability that the second brick is red is
10
Calculate the value of t.
Probabilities are used to determine the chances of events
The value of t is 16
How to determine the probabilityThe number of bricks is given as t
Let the number of red bricks be x.
So, the number of blue bricks would be t - x
So, the probability values are:
[tex]\frac{x -1}{t - 1} = \frac 13[/tex] --- when the both bricks are red
[tex]\frac{x}{t - 1} = \frac 25[/tex] --- when only the second brick is red
Divide both equations
[tex]\frac{x -1}{t - 1} \div \frac{x}{t - 1} = \frac 13 \div \frac 25[/tex]
Divide
[tex]\frac{x -1}{x} = \frac 13 \div \frac 25[/tex]
This gives
[tex]\frac{x -1}{x} = \frac 13 *\frac 52[/tex]
Evaluate the product
[tex]\frac{x -1}{x} = \frac 56[/tex]
Cross multiply
[tex]6x - 6 = 5x[/tex]
Collect like terms
[tex]6x - 5x = 6[/tex]
[tex]x = 6[/tex]
Recall that:
[tex]\frac{x -1}{t - 1} = \frac 13[/tex]
So, we have:
[tex]\frac{6 -1}{t - 1} = \frac 13[/tex]
[tex]\frac{5}{t - 1} = \frac 13[/tex]
Cross multiply
[tex]t -1 =15[/tex]
Add 1 to both sides
[tex]t = 16[/tex]
Hence, the value of t is 16
Read more about probabilities at:
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how do you find 5% of 250
Answer:
[tex]250 \times \frac{5}{100} = 12.5[/tex]
...................................................
Hi do you guys know what 42.7 x 10^3 is? i js want to comfirm my answer. please answer quickly if you know.
Answer:
[tex]42,700[/tex]
Step-by-step explanation:
[tex]42.7 * 10^3[/tex]
[tex]42.7 * (10*10*10)[/tex]
[tex]42.7 * 1000[/tex]
[tex]42,700[/tex]
Hope this helps!
Can someone help asap
Answer:
37.2m^3
Step-by-step explanation:
Given: The dimension of a cuboid
[tex]l(length)=6.2m\\w(width)=2.4m\\h(height)=2.5m[/tex]
To Determine: The volume of the container
The volume of a cuboid is calculated by the formula below:
[tex]V cuboid=lxwxh[/tex]
Substitute into the formula the given dimensions
[tex]V container=6.2m x2.4mx2.5m\\V container=37.2m^{3}[/tex]
Hence, the volume of the container is 37.2m^3
One grain of sand weighs 0.00007g.
How many grains of sand are there in 6300kg if sand?
Answer:
= 90,000,000,000
Step-by-step explanation:
g --> kg
0.00007g --> 7 x 10^-8
6300kg / 7 x 10^-8
N
190
What is the measurement of N?
Sam bought 3 1/4 lb of apples
to make some apple pies.
What is the weight of the
apples written as a decimal?
Answer:
3.25
Step-by-step explanation:
Round 1sf 0.48x1594.3
Answer:
800
Step-by-step explanation:
0.48 x 1594.3 = 765.264
765.264 rounded to 1sf = 800
Answer:
there that the solution
Step-by-step explanation:
and solution
Find the LCM of each set of numbers
15,25,75
Answer:
600
Step-by-step explanation:
The common multiples from the multiples of 15, 25, 40, and 75 are 600 and 1200, but the smallest common multiple of 15, 25, 40, and 75 is 600.
Through mythology, the greek people expressed their:.
Blank - 11.337=67.405 whats blank
Answer:
78.742
Step-by-step explanation:
add 67.405 and 11.337
Answer:
78.742
Step-by-step explanation:
7 8 .7 4 2
_ 1 1 .3 3 7
_________
6 7 .4 0 5
As you see 2 can't - 7 so 4 gives it + 1 turning into 12 and 12 - 7=5
And then you know the rest>
Hope it helps have a great afternoon:)
Which linear inequality is represented by this graph? PLEASE ANWSER QUICKLY!!!
Answer:
B
Step-by-step explanation:
if you help me i give 100 pts
Which problems can be solved by performing this multiplication?
1/5×30
Select each correct answer.
There were 30 people in a room. One-fifth of the people had blue eyes. How many people had blue eyes?
Evan's mother drove 30 miles on Wednesday and another 15 mile on Wednesday. How many miles did she drive in all?
Jada had 30 crayons. She lost 15 of the crayons. How many crayons does she have left?
Amelie read 30 pages of a book. She read 15 of the pages on Monday. How many pages did she read on Monday?
Answer:
ANSWER:
450
6 of them had Blue eyes
Evan's mother drove 45 miles in total.
Jada had 15 crayons left
Amelie read 15 pages on monday.
Step-by-step explanation:
first one
Total people=30Blue eyed=1/5thTotal blue eyed:-
1/5(30)6Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? x = 52 x 52 = 180 x 52 = 90 52 38 = x.
When two lines intersect each other then the vertically opposite angles are equal. Then the correct option is A.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The diagram is shown.
We know that when two lines intersect each other then the vertically opposite angles are equal.
Then
x = 52° because they are vertically opposite angles.
Thus, the correct option is A.
More about the angles link is given below.
https://brainly.com/question/15767203
Which of the following is another way to represent 5 2/ 6?
6 8/6
4 8/6
4 12/6
5 6/8
Answer:
4 8/6
Step-by-step explanation:
That should be your answer
You get 15 points if you help me with this pls
Answer:
[tex]a=2;b=5;c=-20[/tex]
Step-by-step explanation:
Given:
Number tree is given.
Given hint: To get a number in the square multiply the numbers in the two circles connected to it.
[tex]a*(-4)=-8\\a=-\frac{8}{-4} \\a=2[/tex]
[tex]a*b=10\\2*b=10\\b=\frac{10}{2} \\b=5[/tex]
[tex]b*(-4)=c\\5*(-4)=c\\c=-20[/tex]
Therefore, final answers are:
[tex]a=2;b=5;c=-20[/tex]
PLEASE HELP
Use the Desmos graphing calculator to generate the least-squares regression line and statistics for the data in the table. What is the residual value for x = 18?
x y
2 3
4 9
11 12
15 17
18 16
25 22
0.4216
negative 0.4216
negative 1.2389
2.5784
Answer:
m=0.7404, b=3.9117m=0.7404,b=3.9117
y=0.7404x+3.9117y=0.7404x+3.9117
x=18x=18
y=0.7404(18)+3.9117=17.2389y=0.7404(18)+3.9117=17.2389
Residual
16-17.2389= -1.238916−17.2389=−1.2389
-
The residual value for x = 18 is,
⇒ 16 - 17.24
⇒ - 1.24
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Now, We know that;
Equation is,
y = bx + a
Where,
b = (xy) - (x) (y) / x² - y²
Here, We have;
x = 12.5
y = 13.17
(xy) = 211.17
Hence, We get;
b = (211.17 - 164.625) / (219.17 - 156.25)
b = 0.74
So, We get;
y = bx + a
13.17 = 0.74 × 12.5 + a
a = 3.92
So,
y = 0.74x + 3.92
y = 0.74 × 18 + 3.92
y = 17.24
Thus, the residual value for x = 18 is,
⇒ 16 - 17.24
⇒ - 1.24
Learn more about the subtraction visit:
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#SPJ2
identify the triangle
Answer: Scalene Obtuse
Step-by-step explanation:
No sides are equal making it scalene
when all angles are added together it would be 180 degrees which are greater than 90 degrees.
Answer:
Step-by-step explanation:
It is a scalene acute.
Definitions:
Isosceles triangle: a triangle with two equal sidesEquilateral: a triangle with three equal sidesScalene: a triangle with no equal sidesRight: a triangle with a 90-degree angleAcute: a triangle with all angles smaller than 90 degrees.Obtuse: a triangle with one angle greater than 90 degreesHope that helps!
G.SRT.B.5 Worksheet #2
Rhea sold 6 boxes of blueberry muffins and 8 boxes of corn muffins at the bake sale. Each box contained 18 muffins. The muffins cost $0.50 each. What is the total amount raised by the sale of the muffins?
Please help me (and thanks if you are, I very much appreciate it :))
Answer:
$126.00
Step-by-step explanation:
1 you Multiply .50×18=9
so the ratio is 9 per box
you add 6+8=14 and then 14×9=126
a truck loaded with 2.7 tons of sand weighs 5 tons. write and solve an equation to find the weight of the empty truck
5-2.7=2.3
The empty truck weighs 2.3 tons
I need help with this question
Answer:
lets take 2 point two get slope
(0.3)A
(21.0)B
slope = <y2 -y1>/<x2-x1>
equal -1/7
equation of straight
y=mx +c
m is the slope
y= -1/7 x +c
take a point to get c
3=m *0 +c
c= 3
y= -1/7 x + 3
Step-by-step explanation:
multiple equation by 7
7y =-x +21
Please help with math question ty.
Answer:
r=3/4
Step-by-step explanation:
(135/2) / 90 = 0.75
(405/8) / (135/2) = 0.75
0.75 = 3/4
ABCD is an 8 by 6 rectangle. AC is a diagonal with length 10. Point E is on AC such that BE is perpendicular to AC . What is the length of BE
Answer:
The length of BE is 5 units.
Step-by-step explanation:
ABCD is rectangle
AC is a diagonal and BD is a diagonal too.
Diagonals of rectangle are equal and bisect each other perpendicularly.
So, AE = BE
AE = 1/2 × AC
= 1/2 × 10
= 5
BE = 5
Hence the length of BE is 5 units.
A chair sold for $120 after it was reduced by 1/4 of the original price. What was the original price?
What is the y-intercept of the line that is perpendicular to x-8y = 16 and passes through the
point (2,-2)?
The equation of the line perpendicular to x-8y = 16 and passes through the point (2,-2) is y = -8x + 14.
Linear equationA linear equation is in the form:
y = mx + b
where m is the rate of change (slope) and b is the y intercept.
Given the line is x - 8y = 16:
8y = x - 16
y = x/8 - 2
The slope of the line is 1/8, the slope of the line perpendicular is -8. Hence, since it passes through (2 -2):
y - (-2) = -8(x - 2)
y = -8x + 14
The equation of the line perpendicular to x-8y = 16 and passes through the point (2,-2) is y = -8x + 14.
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