Answers
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
Related Questions
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
Answers
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
To know more about an expression follow;
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it's in the picture
Answers
Answer:
it D
Step-by-step explanation:
Trust me
djrjnfnzenngfzm
A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite song is played first.
(Give your answer as a fraction)
Answers
Answer:
1/(5*12) = 1/60 = .016 = 1.6%
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answers
9514 1404 393
Answer:
2.35s +5.50b = 89.50
no
10 slices
Step-by-step explanation:
As with any sale, the total is the sum of the parts. We use multiplication to simplify repeated addition. If we let s represent the number of slices sold, and b represent the number of bowls sold, then the total sales were ...
2.35s + 5.50b = 89.50 . . . . . . . an equation relating slices to bowls
__
Using the manager's numbers, we would get ...
2.35×8 +5.50×14 = 18.80 +77.00 = 95.80
The manager's numbers are not possible.
(If you're paying attention, you know the total cannot be a multiple of 50¢ unless the number of pizza slices is a multiple of 10.)
__
We can let b=22 -s and solve for s:
2.35s +5.50(22 -s) = 89.50
-3.15s = -31.50 . . . . . . . subtract 121, simplify
s = 10 . . . . . . . . . . . . divide by the coefficient of s
10 pizza slices were sold on Tuesday.
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into placemats. What fraction of the fabric is left?
Answers
Answer:
3/8
Step-by-step explanation:
Let us represent the total fabric as an integer = 1
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.
= 1/8, hence each section = 1/8
Then she cuts off 5 of the sections to make into placemats.
This is written as: 5 sections × 1/8 = 5/8
The fraction of the fabric that is left is calculated as:
1 - 5/8
Lowest Common Denominator = 8
Hence: 8 - 5/8 = 3/8
The fraction of the fabric that is left is 3/8
Help pls!!!!!!!!!!!!! trigonometry is it cos sin or tan
Answers
Answer:
tan (angle T) = 5/2
angle T = arctan (5/2)
A business owner is paying for a dinner party that costs $212.00, including tax. If the tip is 20%, what is the total bill?
$218.40
$254.40
$276 60
$222.60
Answers
Answer:
$254.40
Step-by-step explanation:
Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:
212(1.2)
= 254.4
So, the total bill will be $254.40
Answer:
[tex]\$254.40[/tex]
Step-by-step explanation:
Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.
Original bill of $212.00:
Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]
solve for x. round to the nearest tenth. If necessary
Answers
Do sin54 * 2.3
Because sin54 = x/2.3
Find the area of the triangle. Round your answer to the nearest tenth.
B
37 cm
410
А
37 cm
с
a. 449.1 cm2
b. 684.5 cm
C. 898.1 cm2
d. 595 cm
Answers
The answer would be A. 449.1 cm2.
Plot the point - 1 1/2 on the number line.
Answers
Answer:
smack dab in the middle of negative one and negative two :)
The given point -1 1/2 is present in the middle of the -1 and -2 points.
What is a number line?A number line is a horizontal line in which integers are spread equally.
The given point is -1 1/2.
Hence, it is situated between points -1 and -2 on the number line.
To learn more about number lines, use the link given below:
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in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . draw a venn diagram to find the number of students who play football only. the number of students who play volleyball only. the total number of students of the school
Answers
Step-by-step explanation:
It will help you !!!!!!!!!!Answer:
my answer is 660
Step-by-step explanation:
300+250+110=660
Podemos ver una muestra de laboratorio que contiene 32 bacterias inicialmente, y que luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora. ¿Al cabo de cuántas horas no quedará ninguna bacteria?. Resuelve utilizando potencias y sus propiedades.
Answers
Answer:
10 horas.
Step-by-step explanation:
Dado que una muestra de laboratorio contiene 32 bacterias inicialmente, y luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora, para determinar al cabo de cuántas horas no quedará ninguna bacteria se debe realizar el siguiente cálculo:
32 / 2 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
1 / 2 = 0.5
0.5 / 2 = 0.25
0.25 / 2 = 0.125
0.125 / 2 = 0.0625
0.0625 / 2 = 0.03125
Por lo tanto, al cabo de 10 horas no quedará ninguna bacteria.
Please HELP ITS DUE LATER TODAY PLZ HELP ILL AWARD BRAINLIST
Answers
Need help frl thank u
Answers
Answer:
the answer 180
Add the following numbers. 5 + (-12) =
Answers
Answer:
- 7
Step-by-step explanation:
5 + (- 12)
5 - 12
- 7
Sanjana wants to buy a computer that she can use for school next year which is 9 months away. She discovers that she can buy a computer for $400 at a discount electronics store in town. How much does Sanjana have to save every MONTH to buy the computer? ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Answers
Answer: ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Step-by-step explanation:
The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP
Answers
Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify
V = 270 cm³
Step 2: Solve for a
Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³[Equality Property] Cube root both sides: 6.4633 cm = aRewrite: a = 6.4633 cmRound: a ≈ 6.5 cmAnswer:
The length of it's side is 6.5 cm.
Step-by-step explanation:
Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.
To find the length of its side we apply the formula ; Volume of cube and then simplify .
Volume of cube = ( a )³
Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .plug the values
270 cm ³ = a³
Taking cube root of both side
[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]
6.4633 cm = a
Rewrite
a = 6.4633 cm
Round nearest to 1DP
a ≈ 6.5 cm
Hence , Length of it's side is 6.5 cm.
Triangle ABC, where Angle C is the Right Angle in the lower left. Side CB is a leg of the triangle and is horizontal--going left and right. Side CA is another leg of the triangle and is vertical--going up and down. Angle A is up on top and is 41 degrees. Angle B (the other acute angle) is unknown. The hypotenuse AB is 30 feet in length. What is the height of the triangle (Side CA)? Round your answer to the nearest tenth of a foot.
help
Answers
Answer:
CA = 22.6 ft
Step-by-step explanation:
For the known angle A, leg CA is the adjacent leg.
Side AB is the hypotenuse.
The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.
cos A = adj/hyp
cos 41° = CA/(30 ft)
CA = 30 ft * cos 41°
CA = 22.6 ft
The table shows ordered pairs of the function . What is the value of y when ?
Answers
the value of y is equal negative
how does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?
Answers
Answer:
option A
Step-by-step explanation:
The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward
To express the function in normal form,
H = -SQ(X) + 6X - 5
So the y intercept is -5
To find the roots of H
H = -SQ(X) + 6X - 5
(x-1)(x-5) = 0
so the curve has x intercept at 1 and 5
Thus the max point is at x=3
so the curve is shift right by 3 units
{ the function g(x)=x2 has turning point (0, 0) }
since the max point is at x=3, sub x=3 into the function H,
the max point is (3, 4)
So the function H is shift up by 4 unit
make an equation and solve for x, 25 points.
Answers
Answer:
Equation : x + 40° + 91° + 53° = 180°
All angles in a triangle add up to 180°
The value of x is -4.
Now,
x + 40 + 91° + 53° = 180° ( ▼ Sum of three
angle of triangle is 180°)
x + 184 = 180
x = 180 - 184
▲ x = - 4
This is a Right answer....
Mark me as brainliest...
I hope you understand...
Does this graph show a function? Explain how you know
Answers
BRAINLIEST!!! BRAINLIEST!!! BRAINLiEST!!! PLEASE HELP ME WITH THIS QUESTION AND IF IT'S CORRECT I WILL DEFINITELY GIVE YOU THE BRAINLiEST!!!
Answers
Answer:
161 cm
Step-by-step explanation:
Since 115 cm is 5 boxes, we take 115 and divide it by 5. This will get us the cm of 1 box. 115/5=23
Now we take 23 and multiply it by 7 to get the final height. 23x7=161
Answer:
5 boxes have 115 cm height
Then 1 box height is 115 / 5 = 23 cm
7 boxes will have height of 23 * 7 = 161 cm
Give brianliest
PLEASE HELP
Chau made $234 for 18 hours of work. At the same rate, how much would he make for 8 hours of work?
Answers
Answer:$104
Step-by-step explanation:
$234 : 18h
$___ : 8h
You will cross multiply 234 and 8, then when you get you answer you divide it by 18 It's called CROSS MULTIPLY AND DIVIDE...
Please Help. Thank You
Answers
Answer:
x = 21
Step-by-step explanation:
We can use ratios to solve
35 x
------ = ----------
25 15
Using cross products
35*15 = 25x
525 = 25x
Divide each side by 25
525/25 =25x/25
21 =x
Noah wants to make the kite shown below out of cloth.He wants to determine how much cloth he needs.What is the area,rounded to the nearest square centimeter,of Noah's kite?
Answers
Answer:
Step-by-step explanation:
Area 32
rounded up 3/16
Noah needs 1063 square centimeters of clothes.
The area of the kite is 1063 square centimeters.
The correct option is B.
What is a kite's shape?
A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.
To find the area of a kite, you need to use the formula:
Area = (diagonal 1 x diagonal 2) / 2
where "diagonal 1" and "diagonal 2" are the lengths of the two diagonals of the kite.
To use this formula, follow these steps:
Here, if "diagonal 1" measures (42.7 + 22.5) cm and "diagonal 2" measures (16.3 + 16.3) cm, the area of the kite would be:
Multiply the length of "diagonal 1" by the length of "diagonal 2".
That means the result is 2125.52
Divide the result by 2.
2125.52/2
= 1062.76
≈ 1063
Therefore, the area of the kite is 1063 square centimeters.
To learn more about the kite's shape;
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The complete question:
Noah wants to make the kite shown below out of cloth.
He wants to determine how much clothes he needs.
What is the area, rounded to the nearest square centimeter, of Noah's kite?
The image of the kite is given below.
find the radius of each circle. use 3.14for the value of Pie. round your answer to
the nearest tenth. If the
circumference is 54km then what is the radius?
Answers
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
Peter went to Fury's Heavyweight Buffet for lunch. The total cost of Peter's meal can be represented by the expression $0.25z + $3.00d, where $0.25 is the price per ounce and the drinks cost $3. How much does Peter's lunch cost if he got 3 pounds of food (48 ounces) and one drink?
A$12
B$15
C$9.25
D$48
Answers
Answer:
B
Step-by-step explanation:
0.25z+3d
=0.25(48)+3
=12+3
=15$
Brainliets please
which expressions represents 15 more than the product 6 and 8
Please i need help
Answers
Answer:
x-15 = 48
or
x= 15 + (6*8)
Step-by-step explanation:
Pls vote as brainliest
Hi,
The correct answer is x=15 + (6x8)
Which expression is equivalent to (q6)2
Answers
Answer:
q¹²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
(q⁶)²
Step 2: Simplify
Exponential Rule [Powering]: q⁶⁽²⁾[Exponents] Multiply: q¹²Answer :
q¹²
step-step explanation:( q⁶)²
( use exponent rule ) multiply the exponents
q⁶ × ²
q¹²