The graph of a quadratic function with vertex (0, 4) is shown in the figure below.
Find the domain and the range.
Write your answers as inequalities, using X or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
Answer:
See below
Step-by-step explanation:
The domain of the quadratic equation is going to be \(\mathbb{R}\) (all reals), since you can set x to be any real number and get a real value of y.
I can't see the graph, but the range of the quadratic is going to be y ≥ 4 (if the graph opens upwards) or y ≤ 4 (if the graph opens downwards).
A contractor bought 6.4 ft? of sheet metal. He has used 4.9 ft? so far and has $45 worth of sheet
metal remaining. The equation 6.4x - 4.9x = 45 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $
per square foot.
Answer:
1.5 ft remaining
$30 per ft of sheet
Sheet metal costs $30 per square foot.
Step-by-step explanation:
6.4x - 4.9x = 45
1.5x = 45
x = 30
6.4 - 4.9 = 1.5 ft remaining
$45 : 1.5 = $30 per ft of sheet
In which cases of the following lengths of sides of a triangle, is it possible to
draw a triangle?
(а) 3 cm, 4 cm, 7cm (b) 2 cm, 3 cm, 7 cm c)2.5cm, 1.8cm, 4cm
By using Euclidean geometry, the set of side lengths 2.5 cm, 1.8 cm, 4 cm can form a triangle.
what is triangle inequality?The sum of the lengths of any two sides must be greater than the length of the third side.
a + b ≥ c
What is triangle?A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.
Using this rule, we can determine which of the given sets of side lengths can form a triangle:
(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.
(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.
(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.
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Define p ~ q by the equation p ~ q = p2q3– 3q. Then 2 ~ 3 = A) 108 B) 27 C) 99 D) 117 E) 89
Answer:
C
Step-by-step explanation:
We know that p = 2 and q = 3 so:
2 ~ 3
= 2² * 3³ - 3 * 3
= 4 * 27 - 9
= 108 - 9
= 99
solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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Solve the system of equations
1/2x+6y=12
y=x+15
Please I need help. Also if you know the answer could you help me learn how to solve it?
Answer:
x=-12,y=3
Step-by-step explanation:
1/2x+6y=12
y=x+15
since y=x+15
substitute y in first equation, we have
1/2x+6(x+15)=12
open the bracket
1/2x+6x+90=12
1/2x+6x=12-90
x/2+6x= -78
13x/2=-78
13x=2×-78
x=-12
Now x=-12, put x=-12 in the second equation, we have
y=x+15
y=-12+15
y=3
hope it helps
Answer:
x=-8, y=2
Step-by-step explanation:
if 1/2x+6y=12 then 1/2x+y=2 and x+y=1 and y=1-x..if y=1-x then 1-x=x=15 and 2x=16 so x=8 if x=8 then 1/2(8) +6y=12 or 4=6y=12.. then 2y=4 and y=2
please help me with this
Answer:
answer: 5^3 = 5×5×5 = 125
Looking at the table above ,
A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.
B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .
The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.
The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.
The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.
An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.
In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
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Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Answer:
proof below
Step-by-step explanation:
∠A ≅ ∠B
as ACB is a triangle
if ∠A ≅ ∠B then AC = BC
and CD ⊥ AB
so ∠CDA = ∠CDB = 90
now in ΔADC ---> ∠A + ∠CDA + ∠ACD = 180
lets assume ∠A = x = ∠B
x + 90 + ∠ACD = 180
∠ACD = 180 - 90 - x
∠ACD = 90 - x
now in ΔCDB ---> ∠B + ∠CDB + ∠BCD = 180
x + 90 + ∠BCD = 180
∠BCD = 180 - 90 - x
∠BCD = 90 - x
As ∠ACD = ∠BCD
CD bisects ∠ACB
Indirectly to proof:-
<ACD=<BCDLets see
In ∆ADC and ∆BDC
As CD bisects AB
AD=BDCD is common side<A=<B(Given)Hence by SSA congruency the triangles are equal
<ACD=<BCD( proved)
How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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Calculate the area of a circle with a radius of 5 meters
XZ is the perpendicular bisector of segment WY. Solve for m. Enter a NUMBER only.
Answer:
m = 20
Step-by-step explanation:
You want the value of m when (4m +10)° represents an angle of 90°.
EquationThe perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...
(4m +10)° = 90°
SolutionDividing by ° and subtracting 10 gives ...
4m +10 = 90
4m = 80
m = 20 . . . . . . divide by 4
The value of m is 20.
<95141404393>
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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You have 54 pictures to put in a photograph album. Each page of the album holds 4 pictures. How many pages can you fill?
Answer:
You can fill 13.5 pages
Step-by-step explanation:
You would do 54 divided by 4 equals 13.5
How many solutions does
Y = 2x + 10
3y - 6x = 30
Show all work
A no solution
B one solution
C infinity solutions
Answer:
A no solution
Step-by-step explanation:
y = 2x + 10
3y - 6x = 30
3(2x+10) -6x =30
6x +30 -6x =30
6x -6x = 30-30
0=0
At a dog shelter, a 20 pound bag of dog food will feed 36 dogs a day. How many dogs would you expect to feed with a 15 pound bag of dog food?
15 pound of dog food will feed 27 dogs
How to calculate the number of dogs that will be fed with 15 pound of dog food?At the dog shelter, 36 dogs are fed in a day
These 36 dogs will be fed with 20 pound bag of dog food
Therefore the number of dogs that can be fed with 15 pound of dog food can be calculated as follows
= 36/20
= 1.8
The next step is to multiply 1.8 by 15
= 1.8 × 15
= 27
Hence 27 dogs will be fed with 15 pound of dog food
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Need help on this one thank u
Answer:
Hey, darling! Which one do you need help with?
Step-by-step explanation:
Let me know!
Have a nice day!♥
For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
Directions (Integrated Math 3): Give one positive and one negative coterminal angle to each given angle! Please solve for each one shown.
Given:
The given angles are 25 degrees, 112 degrees, and 290 degrees.
Required:
We need to find one positive and one negative coterminal angle to each given angle.
Explanation:
Simply add or subtract 360 degrees of the terminal angle as many times as possible to find the coterminal angle.
1) 25 degrees
Add 360 degrees to the given angle.
\(25\degree+360\degree=385\degree\)Subtract 360 degrees from the given angle.
\(25\degree-360\degree=-335\degree\)2) 112 degrees.
Add 360 degrees to the given angle.
\(112\degree+360\degree=472\degree\)Subtract 360 degrees from the given angle.
\(112\degree-360\degree=-248\degree\)3) 290 degrees.
Add 360 degrees to the given angle.
\(290\degree+360\degree=650\degree\)Subtract 360 degrees from the given angle.
\(290\degree-360\degree=-70\degree\)Final answer:
1) 25 degrees
The positive coterminal = 385 degrees.
The negative coterminal = -335 degrees.
2) 112 degrees
The positive coterminal = 472 degrees.
The negative coterminal = -248 degrees.
3) 290 degrees
The positive coterminal = 650 degrees.
The negative coterminal = -70 degrees.
please help me asap
Answer:
add the two bases together: 19.5 + 14.5 = 34 x 8 (height) = 272 divided by 2 (times half) = 136cm is your answer.
Formula of a trapezoid:
Base 1 + Base 2 times height times height (basically dividing by 2)
The weights of a group of wrestlers is given below. What is the difference between the mean and median weight? {129, 125, 153, 136, 141, 162, 118, 132}
Answer: 957.5
Step-by-step explanation: The mean is 1096, and the median is 138.5
The difference is 957.5
Select Repeating or Nonrepeating to correctly classify each decimal. Repeating Nonrepeating 7.777777... 6.213 KON 5.1152535 4.04
Answer:
repeating non repeating non repeating non repeating
Step-by-step explanation:
Find the width of a cereal box that has a volume of 11,856 cm3 and is 39 cm long and 38 cm high. please help
Answer: The width is 8cm
Step-by-step explanation:
39x38=1482
11856÷1482 = 8cm
At 5 a.m Napoleon headed south from Waterloo at 6 kilometers per hour at 7 a.m Wellington headed south from Waterloo. If Wellington passed Napoleon and was 20 kilometers ahead of Napoleon at 2 p.m how fast was Wellington traveling
It is said that Napoleon started at 5am from Waterloo at 6km/hr
Wellington started at 7am from Waterloo.
It is also known that Wellington is 20km ahead of Napoleon at 2pm.
Here the speed of both ships is constant.
The time between 5am to 2pm is 9 hours so the distance travelled by Napoleon is given by:
\(\begin{gathered} D_N=Speed_N\times Time_N \\ D_N=6\times9=54\operatorname{km} \end{gathered}\)So Napoleon covered a distance of 54 kilometers at 2pm.
Distance covered by Wellington is 20km more than Napoleon and his time is 2 hour less so it follows:
\(\begin{gathered} D_W=20+D_N=20+54=74\operatorname{km} \\ T_W=T_N-2=9-2=7hrs \end{gathered}\)So Wellington covered 74 kilometers in 7 hours. His speed is given by:
\(\text{Speed}_W=\frac{D_W}{T_W}=\frac{74}{7}\approx10.5714\operatorname{km}\text{/hr}\)So Wellington was travelling at the speed of 10.5714 kilometers per hour.
The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width.
Answer:
Length= 19
Width=16
Step-by-step explanation:
(16x2)+(19x2)=70
38+32=70
If the area of the triangle with vertices (5,2),(x,4) and (0,3) is 25/2, find x?
x=7
Pretty Simple.. h h h
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
What is the area of the triangle?The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).
Then the area of the triangle will be
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|
The vertices of the triangle are given as,
(x₁, y₁) ⇒ (5, 2)
(x₂, y₂) ⇒ (x, 4)
(x₃, y₃) ⇒ (0, 3)
Then the area will be
Area = 1/2[{5 × 4 + x × 3 + 0 × 2} – {2 × x + 4 × 0 + 3 × 5}]
25/2 = 1/2 [20 + 3x – 2x – 15]
25 = [x + 5]
x = 25 – 5
x = 20
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
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Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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what is the value of m
The value of m<RQS as required to be determined in the task content is; 70°.
What is the value of m<RQS as required to be determined?It follows from the task content that the measure of angle RQS is to be determined as required.
Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.
Therefore, m<RPS = 2 • m<RQS.
m<RQS = 140°/2
m<RQS = 70°.
Ultimately, the measure of angle RQS are; 70°.
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What way can you simplify this equation?
Answer: 8√2
Step-by-step explanation: