Answer:
(y-3)²= -32x
Step-by-step explanation:
1) the required equation has a form: (y-y₀)²=-2p(x-x₀), where (x₀;y₀) - vertex (0;3), p - parameter of the given parabola;
x₀=0; y₀=3.
2) according to the conditiion F(-8;3)=F(x₀+p/2; y₀), it means (x₀+p/2; y₀)=(p/2;3), then p/2= -8; ⇒ p= -16.
3) finally, p= -16; x₀=0; y₀=3, then it is possible to make up the required equation:
(y-3)²= -32x.
PS/ if it is possible check the suggested solution in other sources.
2. Read "Lisa's Garden" and answer the question.
Lisa needs to determine the perimeter of her garden so she will know
how much fence she will need to build. What is the perimeter of Lisa's
garden in feet (ft)?
A
30 ft
B
38 ft
C.
120 ft
D
608 ft
A restaurant has 50 tables.
40% of the tables have 2 chairs at each table.
The remaining 60% of the tables have 4 chairs at each table.
Complete the model.
Then complete the statements to find the total number of chairs in the restaurant.\
Answer:
160 is the total
Step-by-step explanation:
Number of tables with 2 chairs: 20
Number of tables with 4 chairs: 30
40% of the tables have 2 chairs at each table. In total, there are
40 chairs at these tables.
60% of the tables have 4 chairs at each table. In total, there are 120 chairs at these tables.
Altogether, the restaurant has a total of 160 chairs
if is wrong i'm sorry
Goodbye everyone, it was good knowing all of you, it was
Answer:
so x would be 3x+24
Step-by-step explanation:
see ya
How much will nick and Adam weigh?
Answer:
181 pounds
Step-by-step explanation:
You have already got the equation and solution which is great! The next step is simply a matter of replacing "x" with "7", because you know x=7.
After doing this, you will be left with the equation 160+3*7=195-2*7. We will look at the first part of the equation first. Using the rules of BIDMAS, you can calculate 3*7=21 and then 160+21=181. 181 is your final answer.
You can check that this is right by calculating the second part of the equation, and once done you should be left with 181. Again, using BIDMAS, you need to do 2*7=14 then 195-14=181. Now we know that everything is correct.
22/7 - 4/7
A)2
B)2 4/7
C)2 5/7
D)3
Answer:
None of the option is correct.
The right answer is 18/7 or 2.57
Step-by-step explanation:
Illinois' population is now 12.5 million and decreasing by 0.1 million each year. On the other hand, Arizona's population is 6.9 million and increasing by 0.6 million each year. In how many years will the two states have the same population?
Answer:
8 years
Step by step guide:
100,000 x 8 = 800,000
600,000 x 8 = 4,800,000
6,900,000 + 4,800,000 = 11,700,000
12,500,000 - 800,000 = 11,700,000
Mary decided she will run every 3rd day and play
tennis every 5th day. How many days until she will
run and plays tennis on the same day?
Answer: the 15th day
Step-by-step explanation:
Skip count by both numbers until you reach the first number they have
in common;
3, 6, 9, 12, 15, 28, 21, 24, 27, 30
5, 10, 15, 20, 25, 30, 35, 40
A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has _______ energy.
Answer:
This cinder block has gravitational potential energy.
This cinder block has 15 484 joules of potential energy
Step-by-step explanation:
PE = mass*gravity*height and g= 9.8 m/s^2
PE = 79 * 9.8 * 20
PE = 15 484
HELPPP PLEASE!!! I’M BEING TIMED!!!!
Answer:
y= -7x -27
Step-by-step explanation:
In 2019, the minimum wage in Arizona is $11 per hour. The total cost of renting a one-bedroom apartment in one city is $1410 per month. Without considering any other living expenses or deductions, could a person working 40 hours a week at the minimum wage cover the $1410 per month?
1.Yes, they have $495.20 more than they need.
2.No, the total earned is $495.20.
3.Yes, they have $1905.20 more than they need.
4.No, $1905.20 is not enough.
Answer:
1
Step-by-step explanation:
40 x 11 = 440
440 x 4 = 1760
I Need To Find How To Correct 3 Significant Figures The Value Of 18.75-(2.11)^2 Please Right Now
Answer:3.657 hope this helps
1:2 is equivalent to 200
Answer:
Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2
Meaning:
The Part is 1/2 of the Whole
Step-by-step explanation:
Does this equation have a solution?
Each container of Twizzlers holds 105 pieces. Each
student will receive 1 Twizzler with their lunch. If
there are 1250 students in the school, how many
containers does the school need to buy for each
student to receive 1 Twizzler?
Answer:
The school would need to buy 12 containers for each student to receive 1 Twizzler.
Step-by-step explanation:
1250/105 = 11.9 or 12
Please help me help please help me please help please
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The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
The value of p = 2.
How to find the value of p?Given:
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
Comparing x - 1 with x - a then
Substitute the value of x = 1, then we get
[tex]$1^3+p*1^2-1-2 = 0[/tex]
[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]
Apply rule [tex]$1^{a}=1$[/tex]
[tex]$&1^{3}=1,1^{2}=1 \\[/tex]
[tex]$&1+1 \cdot p-1-2=0[/tex]
Multiply: p-1 = p
1+p -1-2=0
Group like terms
p+1-1-2 = 0
Add/Subtract the numbers: 1-1-2 = -2
p-2 = 0
Add 2 to both sides
p-2+2 = 0+2
Simplify
p = 2
Therefore, the value of p = 2.
To learn more about polynomial function
https://brainly.com/question/11434122
#SPJ2
Person 2 worked for 200 minutes and checked 1,325 comments every 5 minutes
Answer: 33.125
Step-by-step explanation:
So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.
look at the photo.
Which expression is equivalent to the given expression? 10q +5
due at 5:30 pls help asap
f(x)=10x^2-5x-3, evaluate f(-3)
Answer:
f(-3)= 10(-3)^2 - 5(-3) - 3
=90 + 15 -3
f(-3) = 102
Step-by-step explanation:
Which of these a example
Answer:
D`
Step-by-step explanation:
The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)
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Which ordered pairs are solutions to the inequality y-2x less than or equal to -3
Answer:
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Step-by-step explanation:
try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.
Yep sorry again this math is hard
Answer:
<
Step-by-step explanation:
Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is [tex]10^3[/tex] whereas the right side is [tex]10^4[/tex]. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.
[tex]10^3 = 1000\\10^4 = 10000[/tex]
Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.
Hope this helps!
Solve for x.
11
3
9.
9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:
11×9 = 3x
x = 99/3 = 33
hello there
I am looking for help on this thanks.
Please can I check with you the answer for nbr 12?
Is it correct?
Answer:
B and C
Step-by-step explanation:
B = 2,4,6 =3,6C= 2,4,6,8,10,12 = 6,12How do you solve f(x)=7
Answer:
7
Step-by-step explanation:
f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.
URGENT, please!!
Use the given information to write an equation of each parabola:
The parabola has focus (0,6) and vertex at the origin.
The equation of the parabola is:
[tex]y = 24x^2[/tex]
---------------------------
The equation of a parabola of vertex (h,k) and focus (0,f) is given by:
[tex]y = 4p(x - h)^2 + k^2[/tex]
Vertex at the origin means that [tex]h = 0, k = 0[/tex].Focus (0,6) means that [tex]p = 6[/tex]Thus, the equation of the parabola is:
[tex]y = 4p(x - h)^2 + k^2[/tex]
[tex]y = 4(6)(x - 0)^2 + 0^2[/tex]
[tex]y = 24x^2[/tex]
A similar problem is given at https://brainly.com/question/15165354
I don't get rational and irrational numbers... please explain :/
Do the ratios
4
7
and
1
5
form a proportion?
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.