hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U
Answers
Question 11
The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.
For vertically opening parabolas, we use this form
4p(y-k) = (x-h)^2
where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).
Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.
Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y
4p(y-k) = (x-h)^2
4*4(y-0) = (x-0)^2
16y = x^2
y = (1/16)x^2
The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.
Answer: Choice D. y = -(1/16)x^2===============================================
Question 3
The given equation is in the form y = ax^2+bx+c
In this case,
a = 2b = 4c = 3Let's compute the x coordinate of the vertex h
h = -b/(2a)
h = -4/(2*2)
h = -1
This h value is plugged into the original function to find k
f(x) = 2x^2+4x+3
f(-1) = 2(-1)^2+4(-1)+3
f(-1) = 1
We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.
Answer: Choice B. (-1,1)Related Questions
The expression 12 + 4x - 2x + 8 simplifies to what?
Answers
Answer:
2x + 20
Step-by-step explanation:
[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]
Hope this helps.
Shamaya gave away 6 bags of chips. She now has 17 bags of chips left in her bag. How many bags of chips did she have originally?
Answers
Answer:
23
Step-by-step explanation:
She originally had 23 because if she gave away 6 bags of chips, she would have 17 left
-
17+6=23
double check answer:
23-6=17
Answer:
the answer is 23
Step-by-step explanation:
17+6=23
so she 23 bags of chips
Where is the point (0, -5) located on the coordinate plane?
A. In quadrant IV
B. In quadrant III
C. On the x-axis
D. On the yaxis
Answers
Hope this helps!!
simplify this addition 20+(-6x)+6x+(-20)
Answers
Answer:
0
Step-by-step explanation:
20+(-6x)+6x+(-20)=20-6x+6x-20
=0
Which of these groups of values plugged into the TVM Solver of a graphing
calculator will return the same value for PV as the expression
($415)((1 +0.003)24 – 1)?
(0.003)(1 +0.003)24
Answers
The TVM solver is a tool found in graphing calculators, that solve Time
Value of Money problems.
The group of values that will return the same value as the given expression is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :ENDReasons:
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]
Which gives;
[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]
I = 0.003 × 12 = 0.036 = 3.6%
N = n × t = 24
[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
Learn more about Present Value Solver here:
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1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?
Answers
y=2x-3
2x-3
2(-1)-3=-5
I would like to know if somebody could help me on this math problem.
Answers
Answer:
$288
Step-by-step explanation:
.04 * 7,200= 288
Commission multiplied by Stocks sold= Answer
Hope this helps :)
Answer this please I really need help with this i can't do it
Answers
Answer:
A 6 km per hour
B 10 min.
Step-by-step explanation:
I just need to fill the 20 character limit
The first term of an arithmetic sequence is 10. The 7th term is 28. What is the common difference of the arithmetic sequence?
Answers
Answer:
the answer is A1
Step-by-step explanation:
{a7} = 10 = a1 + 7*4
10 = a1 + 28
-28 - 28
-18 = a1
60x4= blank tens x 4 = blank tens = blank
Answers
Answer:6 tens
Step-by-step explanation:
Simple. 60 equals 6 tens so blank equals 6 tens
Blank tens = 6
Hope this helps :)
what is the eqausion for 45 to 78
Answers
Answer:
23?
Step-by-step explanation:
78 minus 45 equals 23
This is the only reasonable answer I can decipher from your question.
Last year there were 20 girls on the volleyball team. This year the number of girls DECREASED by 10%. How many girls are on the volleyball team this year
Answers
Answer:
18
Step-by-step explanation:
There are 18 girls on the team this year.
If you take 20 and divide the number by 10 you will get 2.
10%=2
If you multiply 2x10 you get 20.
20-2=18
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answers
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
The slope is -10 and it passes through (2,5)
Answers
Answer:
y=-10x+25
Step-by-step explanation:
Model a desert community where 19% of the area is
desert and the rest is houses.
squares represent the area of the community
that is desert.
The area of the community that is houses is
represented by squares.
Answers
Answer: the first one is 19 and the second is 81.
Lia has 72 green grapes that are shared equally between 8 of her friends. Darrel adds 41 green grapes to his share. How many grapes does Darrel have in all
Answers
Darrel has 50 grapes in all.
Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:
Number of grapes each friend receives = 72 / 8 = 9
Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:
Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel
Total grapes for Darrel = 9 + 41 = 50
To know more about grapes:
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Find surface area I need help
Answers
Step-by-step explanation:
π x r^2 + π x r^2 + 2 x π x r x h
4π + 4π + 16π = 24π
Fill in the blank with the correct math term, and give an example of each.
A. A(n) ________is a mathematical relationship that uses one or more variables, numbers or operation symbols.
Example:
B. A(n)________is a symbol that can be replaced by a number in a mathematical expression or equation.
Example:
C. A(n)_________is a mathematical sentence with an equal sign
Example:
Hellooo! Can someone please help me with this. I’m struggling, and need help. if u can help i would appreciate it. Also on the example parts please give a example, thank u.
Answers
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
C. A(n) equation is a mathematical sentence with an equal sign.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
Example: The variable "x" is used in the equation 2x + 3 = 7. It demonstrates the relationship that arises when "x" is multiplied by 2, added to 3, and the result is 7 as the outcome.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
Example: In the equation 3y + 2 = 11, "Y" is the variable. The equation can be solved by changing the value of "y," which can take on a variety of possibilities.
C. A(n) equation is a mathematical sentence with an equal sign.
Example: 4 + 5 = 9 is an illustration of an equation. It states that combining 4 and 5 yields the number 9. The equal symbol denotes the equality or balance of the two sides of the equation.
Explanation:
A. An equation is a statement that demonstrates the relationship between different quantities, variables, or numbers using mathematical operations. It might have a variable or several that need to be figured out in order to arrive at a particular value or link.
B. A variable is a symbol that is used to signify an ambiguous or fluctuating quantity in mathematical statements or equations. It is made flexible and generic to represent different values or relationships inside the confines of a mathematical issue.
C. An equation is a mathematical statement that establishes the equality of two expressions by using the equal sign. It indicates that the values of the two sides of the equation are equal or the same. In order to show mathematical relationships and properties, equations are frequently utilised.
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Davina received 50 votes, Binh received 40 votes. What is the ratio of Binh's votes to Davina's votes in simples form?
Answers
Answer:
The answer is 4 hope this helps
knife is 3 times cost of spoon
9 spoons and 12 knifes is £82.80
what is 1 knife
Answers
Answer:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
A knife is 3 times the cost of the spoon. 9 spoons and 12 knives costs £82.80.Solution :
This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations". Linear calculations that requires more than one variable can be done with the help of linear equations. The standard form of a linear equation in one variable is ax + b = 0.Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
[tex]9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84[/tex]
Therefore the cost of 1 knife = 5.52
Step-by-step explanation: [tex]1.84 x 3 = 5.52[/tex]
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
Answers
What property of addition is defined by ( a + b ) + c + a + ( b + c )
Answers
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition states that ( a + b ) + c = a + ( b + c )
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve
Answers
Answer:
7
Step-by-step explanation:
I used keep change flip, and repeated the process and got the answer.
Hope this helps! :)
Answer:
1/72
Step-by-step explanation:
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2
1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1
1/72
HELP! ILL TIVE BRAINLIST IF RIGHT!! Joe earns a percentage of his monthly sales. If his commission rate stays the same each month, how much does he need to sell in March to earn $200 more than he did in February? (Picture below)
$3000
$76
$3800
$900
Answers
Answer:
$3800
Step-by-step explanation:
If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800
Which graph is right?
Answers
Answer:
B
Step-by-step explanation:
A "or equal to" sign always contains a black colored in circle... With it's pointy end pointing at which direction it is being located.
Find an equation for this line?
Answers
Answer:
y = -20/5 or -4/1 + 20 for the equation
A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?
Answers
Answer:
144 000
Step-by-step explanation:
960 000 × 0.15
= 144 000
Answer:
144,000
Step-by-step explanation:
[tex] \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000[/tex]
6-3b-6= -15
i need help asappl
Answers
Hello there!
6-3b-6=-15
-3b=15+6-6
-3b=15
b=-3
Hope it helps you!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
b=5
Step-by-step explanation:
6-3b-6=-15
-3b=-15
3b=15
b=15÷3
=5
Color the star BLUE if the statement is true and RED if false
pwede p yong tamang answer hehe..bukas na kasi parasahan
Answers
Answer:
RED
BLUE
BLUE
RED
BLUE
MARK ME BRAINLIEST PLSSSChoose the best compatible numbers to find an estimated product or quotient.
48 × 29
A. 50 × 30 = 1,500
B. 40 × 30 = 1,200
C. 50 × 20 = 1,000
D. 50 × 25 = 1,25
