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
What is the sale price of a $825 tablet that has a 1/4 discount
Answers
Answer:
206.25
Step-by-step explanation:
825/2=412.5
412.5/2=206.25
Factor (x^2-9) (x^2-16)
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Answer:
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Step-by-step explanation:
( x^2 - 9 ) ( x^2 - 16 )
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Hopefully this helps!
Brainliest please?
[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answers
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
$299 for 4 tires. What is the cost for one tire? Round your answer to the nearest whole number..
$70 per tire
$75 per tire
$72 per tire
Answers
$299/4 = 74.75. Rounded to the nearest whole number would be $75. :)
3(x-2)=18 can somebody plzz help me
Answers
Answer:
x=8
Step-by-step explanation:
3(x-2)=18
3x-6=18
3x=18+6
3x=24
x=24/3
x=8
Given : Simplify 3(x - 2) = 18
Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.
3(x - 2) = 18Cross multiplying 3 to the other side
x - 2 = 18/3x - 2 = 6Transposing -2 to the right hand side of the equation to get +2
x = 6 + 2Adding them we get the final answer
x = 8Henceforth, the required answer is 8
Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?
Answers
Answer: 422.05-106.30-310.00+95.00=100.75
Step-by-step explanation:
your subtracting the 422/106/310 while you adding the $95
Evaluate -1(-2)(-4)(-2)
Answers
Answer:
16
Step-by-step explanation:
Negative times negative = positive
-1(-2) = 2
2(-4) = -8
-8(-2) = 16
Please consider giving this answer brainliest if it helped you. Thanks!
Answer:
─16
Step-by-step explanation:
1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16
How to multiple decimals by decimals.
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Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Linear or nonlinear:
why?
Answers
Answer:
Nonlinear.
Step-by-step explanation:
Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.
Hope this helps.
A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?
Answers
Answer:
y=4x+9
Step-by-step explanation:
The slope intercept form is [tex]y=mx+b[/tex]
So m=4 and we plug it into the equation [tex]y=4x+b[/tex]
Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]
So the equation becomes [tex]5=4+b[/tex]
We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b
Then we rewrite the whole equation as [tex]y=4x+9[/tex]
50 POINTS!!
Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference
Answers
Answer:
x² + y² = 169
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.
Substitute (12, 5 ) into the equation
12² + 5² = r²
144 + 25 = r²
169 = r²
Then equation of circle is
x² + y² = 169
We know that the sample standard deviation is 10 and the sample size is 70. For what sample mean would the ������ -value be equal to 0. 05? assume that all conditions necessary for inference are satisfied.
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I need help pls
ASAP
Answers
Answer:
look at the picture ..........
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answers
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
ITO
Jacky starts biking to meet up with her friend. She knows that if she bikes at a speed of
10 mph he will be 3 minutes late for the meeting. Jacky also knows that if she bikes at a
speed of 12 mph, she will be there 2 minutes before they agreed to meet. How much
time does she have left before the appointed time?
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Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
Recall :
Distance = speed × time Let time = tAt 10mph :
Distance = 10 × (t + 3) = 10t + 30 - - - (1)At 12 mph :
Distance = 12 × (t - 2) = 12t - 24 - - - - (2)Equate (1) and (2) :
10t + 30 = 12t - 24
Collect like terms
10t - 12t = - 24 - 30
-2t = - 54
Divide both sides by - 2
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : https://brainly.com/question/25669152
Answer:
7
Step-by-step explanation:
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answers
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9
Answers
Answer:
2x^(3) - 4x^(2) - 4x - 4.
Step-by-step explanation:
2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9
Bring like terms together:
= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9
Now simplify:
= 2x^(3) - 4x^(2) - 4x - 4.
Answer:
[tex]2x^3-4x^2-4x-4[/tex]
Step-by-step explanation:
Subtract the numbers
[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]
[tex]2^3-3^2-4-3^2+2^2-4[/tex]
Combine like terms
[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Rearrange terms
[tex]2x^3-4x^2-4-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Solution:
[tex]2x^3-4x^2-4x-4[/tex]
A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above
Answers
Answer:
118.72
Step-by-step explanation:
I just used my calculator 0-0 hope this helped :)
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
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Answer:
See Image below for answer:)
Step-by-step explanation:
a 84m2 b 111m2 c 125m2 d 150m2
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Answer:
B
Step-by-step explanation:
:)
Answer:the answer is 84m2
Step-by-step explanation:
share £165 in the ratio 2:3
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2:3=£165
2:3 =5
2/5 x 165
=2x33
66
=3/5 x 165
3 x 33
99
answer: 66 : 99
What is a scalar quantity ?
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Answer:
A scalar quantity is defined as the physical quantity with only magnitude and no direction.
Convert an area 75000m2 to hectares
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Answer:
10000m2 =1 hectare
75000m2 = 75000/10000 hectares
=75/10hectares
=7.5hectares
note:1 hectare =10 000m2
Hope this helps!!please help me. I need to find what W is
Answers
Answer:
9
Step-by-step explanation:
w+13-[tex]\frac{2w}{3}[/tex]=16
w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]=3
w=9
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8
Answers
Answer:
9^48
Step-by-step explanation:
when parenthesis are involved, you multiply the powers
6*8=48
Need help with this question
Answers
Blue- Y=3x+2 slope int
Y-2=3(x-0) point slope
Red - Y=1/2x-2 slope int
Y+2=1/2(x-0)
slope intercept: y= -2x+ 2
point slope form: y+1= -2(x-1)
red line
slope intercept: y=1/2x-2
point slope form: y+1= 1/2(x-2)
An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?
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Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?
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Answer:
8 miles per week!
Step-by-step explanation:
40 miles / 5 weeks = 8!
so it would be 8 miles per week.
i hope this helps!!
The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21
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Answer:
I have no clue I'm trying to get my account set up
Solve for m
kx-bf=fy/m
Answers
Answer:
m=fy/kx-Bf
Step-by-step explanation:
you simply simplify the equitions to be left with m on one side