What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3
Answers
For this case, we must first graph the function to observe the behavior of the same.
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.
Related Questions
Solve using the arrow way
430-230?
Answers
430 --( -200 )---> 230 --( -30 )---> 200
Therefore, the solution of the mathematical operation 430-230, using the arrow way, is: 200
The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm
Answers
To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**
Substitute in the values.
a² + b² = c²
12² + 16² = c²
Solve for c, the hypotenuse.
12² + 16² = c²
144 + 256 = c²
400 = c²
c = √400
c = 20
Answer:
20cm
Step-by-step explanation:
What is the approximate volume of the cylinder with a height of 5 and a diameter of 4? round to the nearest tenths place
Answers
V=πr²h
Here height, h= 5 units
Diameter, d= 4 units
So, radius, r= d/2 = 4/2 =2 units
Put values in formula.
V= (3.14)(2)²(5)
V=62.8 Cubic units
Answer: 62.8 cubic units
Jose and Sue are playing a board game. If they land on a red or blue square, they lose 1 point. The inequality statement compares the magnitude of their scores at the end of the game. |−2|<|−5| What does the inequality statement show?
Answers
The inequality statement |−2|<|−5| shows that 2 is less than 5.
Explanation:In mathematics, an inequality compares two expressions or values, indicating their relative size. Symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) represent inequalities.
The inequality statement |−2|<|−5| compares the magnitude of two numbers, -2 and -5. To find the absolute value of a number, we remove the negative sign. So, |−2| is equal to 2 and |−5| is equal to 5. Therefore, the inequality statement |−2|<|−5| means that 2 is less than 5.
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Find the solution of the differential equation that satisfies the given initial condition. du/dt = (2t+sec^2t)/2u, u(0) = -3
Answers
What does the random variable for a binomial experiment of n trials measure?the random variable measures the number of successes out of n trials.the random variable measures the number of failures out of n trials. the random variable measures the standard deviation of n trials.the random variable measures the mean of n trials?
Answers
A binomial random variable is defined as the number of successes x in n repeated trials of a binomial experiment. It is more feasible to measure the number of successes than the number of failures because the more successes you have, the nearer you are to your desired goal in a binomial experiment.
Answer:
The random variable measures the number of successes out of n trials.
James Callahan has available a 10% alcohol solution and a 60% alcohol solution. Find how many liters of each solution he should mix to make 50 liters of a 40% alcohol solution?
Answers
x-------------> liters of 10% alcohol solution
y-------------> liters of 60% alcohol solution
we know that
x+y=50----------------------> x=50-y-----------------> equation 1
0.10x+0.60y=0.40*50----------> 0.10x+0.60y=20---------> equation 2
substitute 1 in 2
0.10*(50-y)+0.60y=20---------> 5-0.10y+0.60y=20
5+0.50y=20------------> 0.50y=15-----------------> y=30
x+y=50----------> x=50-30---------> x=20
the answer is
20 liters of 10% alcohol solution
30 liters of 60% alcohol solution
What fraction of the circle does the shaded angle represent??
Answers
The fraction of the circle that is shaded is 1/4
non shaded ( not shaded) is 3/4
altogether it would be 4/4 or one whole
Can you please help me out ?
Answers
sine (x) = a / h
Where,
a: side of the triangle.
h: hypotenuse.
Substituting:
sine (x) = 3/6
x = Arcosine (1/2)
x = 30 degrees.
The other angle is:
180-30-90 = 60 degrees
Answer:
W = 30
V = 60
U = 90
option 4
PLZ HELP!! 20 points!
Is (3,-2) the solution to this system of equations? show how you determined your answer.
-2x-4y=2
3x+4y=8
Answers
Let's plug it into the first equation first:
-2(3) - 4(-2) might = 2
-6 + 8 = 2
The first equation is true.
Now, we need to check the second equation:
3(3) + 4(-2) might =8
9 - 8 does not = 8
Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution.
Hope this helps!
Please help me with questions 8 and 9
Answers
Answer: Choice A
Coordinates have been multiplied by a scale factor of 0.5
For instance
A = (-3, 4)
Multiply the coordinates by 0.5 to get
-3*0.5 = -1.5
4*0.5 = 2
So the coordinates of A' are (-1.5, 2) which is what matches what we're given above. The same will happen with B and C as well.
-----------------------------------------------------------
Problem 9
Answer: choice C) x = 25; larger angle is 107 degrees
Work Shown:
(3x+32)+(x+48) = 180
4x+80 = 180
4x = 100
x = 25
If x = 25, then,
3x+32 = 3*25+32 = 107
x+48 = 25+48 = 73
So the larger angle is 107
kenny wants to buy gifts for all 18 of his co workers. He can buy t shirts for $10 and hats for $12. He plans on spending $200 for all 18 gifts. If Kenny wants to spend all of his money, how many of each type of gift can he buy?
Answers
10X12=120 8X10=80 12+80=200
Melinda has a map of her city the map uses a scale of 1 inch equals 8 miles when does house is 1 1/2 inches from the library on the map how far apart with her house in the library be on the map if the scale is 1 inch equals 6 miles
Answers
So, the house is 12 miles away from the library because 1 1/2*8 is 12. Now, Just divide 12 by the new rate, 6, to get 2. Your answer is 2 boxes away.
Hope this helped!
which is more, 5,998 millimeters or 6 meters
Answers
Emily measures 3 pieces of string. The first piece measures 642 cm. The second piece measures 124 cm, and the third piece is 134 cm. How many meters of string does she have altogether? (hint: 1 meter equals 100 centimeters)
Answers
What is the circumference of circle p? Express your answer in terms of pi , ab = 14
Answers
Answer:
14 pi in.
Step-by-step explanation:
hop this helps!
Find the difference (7a-6b+7) - (8a-2)
Answers
Let's set up our expression:
(7a-6b+7)-(8a-2)
In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:
7a-6b+7-8a+2
Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:
(7a-8a) - 6b + (7+2) =
-a - 6b + 9
Hope this helps!
HELP SUPER FAST PLS A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 2 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says area equals 36 and 3 over 4 square inches
Answers
then they gave you mixed fractions
they want you to practice converting mixed fractions into improper fractions and dividing them
rmember, improper fractions are a/b where a>b sometimes
and also remember that [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]
okie dokie
width
4 and 1/2=width
4+1/2=width
8/2+1/2=width
9/2=width
area=36 and 3/4
area=36+3/4
area=144/4+3/4
area=147/4
so area/width=length
[tex]\frac{\frac{147}{4}}{\frac{9}{2}}=length[/tex]
[tex]\frac{(147)(2)}{(4)(9)}=length[/tex]
[tex]\frac{294}{36}=length[/tex]
[tex]\frac{49}{6}=length[/tex]
[tex]\frac{48}{6}+\frac{1}{6}=length[/tex]
[tex]8+\frac{1}{6}=length[/tex]
so the length is [tex] 8 \space\ and \space\ \frac{1}{6} \space\ in[/tex]
Answer:
8 1/6
Step-by-step explanation:
hope it helps
Select the ratios that are equivalent to 3 boys and 5 girls
Answers
6/10
9/15
12/20
15/25
Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together.
Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.
Answers
Explanation:
1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.
This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.
2) Speed of Cody
Cody can complete the project in 8 hours => 1 project / 8 h
3) Speed of Kaitlyn
Kaitlyn can complete the project in 6 houres => 1 project / 6 h
4) Speed working together:
1 / 8 + 1 / 6 = [6 + 8] / (6*8 = 14 / 48 = 7 / 24
7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.
Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.
Denote all work that should be done as 1. Then if Cody can complete the project in 8 hours, he can do [tex] \frac{1}{8} [/tex] per hour and if Kaitlyn can complete the project in 6 hours, then she can do [tex] \frac{1}{6} [/tex] per hour. Together they complete [tex] \frac{1}{8}+\frac{1}{6} [/tex] per hour.
Simplify this expression:
[tex] \dfrac{1}{8} +\dfrac{1}{6} =\dfrac{3}{24} +\dfrac{4}{24}=\dfrac{7}{24} [/tex].
Then it will take them to complete the project together [tex] \dfrac{1}{\frac{7}{24}} =\dfrac{24}{7} =3\dfrac{3}{7} [/tex] hours
Answer: It will take them to complete the project together [tex] 3\dfrac{3}{7} [/tex] hours.
Alex lives eight tenth of a mile from Sarah. What is eight tenths written as a decimal
Answers
Eight tenths = 8/10
To convert a fraction to a decimal, we must divide the numerator by the denominator.
8 ÷ 10 = 0.8
Eight tenths is 0.8 as a decimal.
I hope this helps
you lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how much interest is paid over the 3 years?
Answers
Solution:
Present Value of car= $ 23,495
Down Payment = $ 500
Total Amount paid monthly for 3 years that is 36 months, if you pay $ 429.95 per month=$ 15478.20
Total amount paid for the car as an agreement which includes Down payment of $ 500 as well as monthly Payment of $ 429.95 for 36 months= $ 15478.20+$ 500=$ 15978.20
As, given Interest is 30% of the payment.
So, total interest = 30% of $ 15978
[tex]=\frac{30}{100}\times 15978.20[/tex]
= $ 4793.40
But if you will calculate interest on payment of $ 429.95 at the rate of 30%, it gives
[tex]=\frac{30}{100}\times 429.95[/tex]
= $128.985
So, total interest for 3 years= $128.985 ×36=$ 4643.46
Also, if you will calculate interest on payment of ($500+$429.95=$929.95) at the rate of 30%
[tex]=\frac{30}{100}\times 929.95[/tex]
=$278.985
Total interest for 3 years= $278.985 ×36=$10,043.46
A city council consists of six democrats and five republicans. If a committee of seven people is selected, find the probability of selecting four Democrats and three republicans.
Answers
d=number of Democrats selected
D=total number of Democrats = 6
r=number of Republicans
R=total number of Republicans =5
Then
[tex]P(d,r)=\frac{C(D,d)C(R,r)}{C(D+R,d+r)}[/tex]
where
[tex]C(n,r)=\frac{n!}{(n!(n-r)!)}[/tex] = combination of r items selected from n,
D+R=total number of members = 6+5 =11
d+r=number of members selected = 7
[tex]P(d,r)=\frac{C(D,d)C(R,r)}{C(D+R,d+r)}[/tex]
[tex]P(4,3)=\frac{C(6,4)C(5,3)}{C(6+5,4+3)}[/tex]
[tex]=\frac{C(6,4)C(5,3)}{C(11,7)}[/tex]
[tex]=\frac{15*10}{330}[/tex]
[tex]=\frac{5}{11}[/tex]
Answer: the probability of selecting 4 Democrats and 3 Republicans is 5/11
Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?
Answers
= 11 + 4x + 8y + 16 ..........distributive property
= 4x + 8y + 27 .................combine like terms
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 14 that height. Which of these statements is NOT true?
Answers
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 that height. Which of these statements is NOT true?
the statements in the attached figure
we know that
r=2 cm
h1=8 cm
h2=(1/4)*8=2 cm
[Volume of cone 1]=(π*r²*h)/3--------> (π*2²*8)/3= 33.49 cm³
[Volume of cone 2]=(π*r²*h)/3--------> (π*2²*2)/3---------> 8π/3= 8.37 cm³
Statements A)
The volume of the smaller cone is (1/4)(1/3π • 2 • 2 • 8) cm3---------> is true
Statements B)
The volume of the smaller cone is (1/3)(4π • 2) cm3.-----------> is true
Statements C)
The volume of the smaller cone is (8/3)π cm3. -----------> is true
Statements D)
The volume of the smaller cone cannot be determined because its height is unknown-----------> is not true
the answer is the Statements D)
The volume of the smaller cone cannot be determined because its height is unknown-----------> is not true
Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south. Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block. Finally, she turns left and walks 5 blocks. What direction is she facing when she is done?
Answers
In the north direction, Martha facing if the Martha is standing on a street corner in a big city, facing south.
What is direction?The four cardinal directions, sometimes known as cardinal points, are the four principal compass directions: north, east, south, and west, which are frequently abbreviated as N, E, S, and W.
We have:
Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south.
Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block.
If we draw a line diagram, we will see:
She will be facing at North.
Thus, in the north direction Martha facing if the Martha is standing on a street corner in a big city, facing south.
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How many quarter inches long is 7 3/4
Answers
The number of quarters in 7 is 28 and the number of quarters in 3/4 is 3. Then the total number of quarters is 33.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The quarter is written as one-fourth.
[tex]\rm quarter = \dfrac{1}{4}[/tex]
We have 7 + 3/4
We know that one has 4 quarters then 7 has
→ 7 × 4 = 28
And 3/4 has three quarters.
Then the total quarter will be
[tex]\rm Number\ of \ quarter = 7 \dfrac{3}{4} \times 4 = \dfrac{33}{4} \times 4 = 33[/tex]
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There are 31 quarter inches in 7 3/4 inches. This is determined by converting the mixed number into an improper fraction and then dividing by ¼, which gives us 31/4 or 31 quarter inches.
Explanation:The question asks how many quarter inches there are in 7 3/4 inches. To find this, we can convert the mixed number into an improper fraction and then divide by the fraction representing a quarter inch (¼ inch).
First, convert 7 ¾ to an improper fraction by multiplying the whole number 7 by the denominator 4 and then adding the numerator 3. This gives us 28 + 3 = 31, so 7 ¾ inches is equivalent to ⅔31/4 or 31 quarter inches. Therefore, 7 3/4 inches is 31 quarter inches long.
A cab driver is paid $6 plus $0.45 per mile driven. Which expression shows the amount of money the cab driver earns in m miles?
Answers
A= amount of money earned
m= # of miles driven
Amount earned equals $6 plus ($0.45 times the # of miles driven.)
EQUATION:
A= $6 + $0.45m
Hope this helps! :)
Answer:
C/ 0.45m + 6
Step-by-step explanation:
i did the quiz
108+621 is the same as 100+ what
Answers
One positive integer is 6 less than twice another. The sum of their squares is 468. Find the integer
Answers
The two integers are 12 and 18.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, one positive integer is 6 less than twice another.
Let positive integer be x and the other positive integer is 2x-6
x²+(2x-6)²=468
x²+4x²-24x+36=468
5x²-24x+36-468=0
5x²-60x+36x-432=0
5x(x-12)+36(x-12)=0
(x-12)(5x+36)=0
(x-12)=0
x=12
So, 2x-6=18
Therefore, the two integers are 12 and 18.
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