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
How to divide different bases with same exponents.
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Different Bases and Same Exponent. In this case, you can group the two bases into a quotient and apply the exponent. ...
Different Bases and Different Exponents. The expression b^4 / a^2 is equivalent to (b * b * b * b) / (a * a). ...
Order of Operations
I am stuck. The screenshot will explain
Answers
0.2+0.05=0.25
Multiply the second expression
0.2x0.05=0.010
Divide the results by each other
0.25/0.010
Get your answer
25
Hope this helps!
What is the equation in point-slope form of the line that passes through the point (1, −1) and has a slope of 4?
Answers
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
m is the slope.
x1 and y1 are the point coordinates.
so,
y - -1 = 4(x - 1)
and simplified
y + 1 = 4(x - 1)
Pls help i only have 20 mins to complete
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Plz post your question now....
Please help me with this homework
Answers
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
Find the perimeter. Simplify your answer.
Answers
Answer:
32t
Step-by-step explanation:
parallelogram. two opposite sides r equal.
2(8t+2)+2(8t-2)
16t+4+16t-4
32t
A circular coaster has a diameter of 5 inches. What is its area? write your answer using π.
Answers
Answer:
Step-by-step explanation:
Diameter=5 inches
Area= π[tex]r^{2}[/tex]
r is the radius of coaster.
Radius=diameter/2
Substitute the value of D:
r=5/2
Now
Area=π [tex]\frac{5}{2} ^{2}[/tex]
Area=π([tex]\frac{25}{2}[/tex])
Area=12.5π sq.inches
If you need to ask any questions, please let me know.Mika is making a beaded necklace. Each bead is a14inch cube.If the necklace is 18 inches long, how many beads will Mika need?
Answers
Answer: The answer is 4
Step-by-step explanation: 2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )
= 2g + 10 - 2g - 6
= 2g -2g + 10 - 6
= 0 + 4
= 4
Hope this helps!
Using algebra, describe in two or more complete sentences how to determine if the function is odd.
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Answer:
If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.
Step-by-step explanation:
What is an equation in point-slope form of the line shown in the graph, using the point (1, 5)?
Answers
Answer:
The point-slope form is
y
+
6
=
1
5
(
x
−
4
)
or
y
+
5
=
1
5
(
x
−
9
)
, depending on which point you use. If you solve for
y
to get the slope-intercept form, both equations will convert to
y
=
1
5
x
−
34
5
Step-by-step explanation:
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?
Answers
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!!
What is the slope of the line for this question?
Answers
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
we have 2 points marked on the chart :
(6, -1) and (9, 3)
x changes by +3 (from 6 to 9)
y changes by +4 (from -1 to 3)
the slope is therefore +4/+3 = 4/3
Hi can u help me with my hw
Answers
Answer:
c) difficult
Step-by-step explanation:
1) w = 14/3
Steps:
1) Multiply the numbers
5w - 8/3 = 4w + 2
2) Add 8/3 to both sides of the equation
5w - 8/3 + 8/3 = 4w + 2 + 8/3
3) Simplify
A. Add the numbers
5w = 4w + 2 + 8/3
B. Add the numbers
5w = 4w + 14/3
4) Subtract 4w from both sides of the equation
5w - 4w = 4w +14/3 - 4w
5) Simplify
A. Combine like terms
1w = 4w + 14/3 - 4w
B. Multiply by 1
w = 4w + 14/3 - 4w
C. Combine like terms
w = 14/3
2) ( x - 7 ) ( x + 7 )
Steps:
1) Use the sum-product pattern
x² + 7x - 7x - 49
2) Common factor from the two pairs
x (x + 7) = 7 (x + 7)
3) Rewrite in factored form
(x-7) (x+7)
3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]
Steps:
[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]
Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1
4
of a cup of red onions. If they have 11
2
cups of red onions, how many batches of salsa can they make?
Answers
22 batches. 10/2 cups of red onions is 20 batches. 1/2 cups of red onions is 2 batches. 20 + 2 = 22.
Divide. Write the answer in simplest form.
2/5 divided by 3
Answers
Answer:
Step-by-step explanation:
0.13 repeating
During May, Andy had cash inflows of $550, $40, $65, and $80. He had cash outflows of $10, $30, $60, $25, $100, and $250. What is Andy’s net cash flow?
PLEASE HELP ME I DON'T KNOW WHAT THE ANSWER IS
Answers
Answer:
positive 260
Step-by-step explanation:
add the cash inflows
550+40+65+80 = 735
add the outflows
10+30+60+25+100+250 = 475
then substract the outflows from the inflows
735-475 = 260
So Andy's net cash flow is positive 260
Please consider marking this answer as brainliest if it helped you. Thanks!
Andy’s net cash flow is $260.
Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Total cash inflow
= 550+40+65+80
= $735
Total cash outflow
= 10+30+60+25+100+250
= $475
So, net cash flow =735-475
= $260
Therefore, Andy’s net cash flow is $260.
Learn more about the subtraction here:
brainly.com/question/2346316.
#SPJ2
A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.
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The height of the bottom of the hole after the second day is -35 11/12 feet
Given:
Day 1 height = -45 1/4 feet
Day 2 height = -45 1/4 + 9 1/3
= - 181/4 + 28/3
= (-543 + 112) / 12
= -431/12
= -35 11/12 feet
Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet
Read more:
https://brainly.com/question/11871698
whats is 8:55 after 25 minutes
Answers
find x help meh pls
6 4/5=5/6x−3/12
Answers
x=423/50
x=8 23/50
x=8.46
What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.
Answers
The average rate of change of the function is -59.4
The formula for calculating the rate of change of the function is expressed as:
[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Given the function
[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]
Get the value of f(2)
[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]
Substitute into the formula to have:
[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]
Hence the average rate of change of the function is -59.4
Learn more on the rate of change here: https://brainly.com/question/11627203
Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?
Answers
Answer:
6/20. (simplified is 3/10)
Step-by-step explanation:
please help!! this is for my geometry class
Answers
Answer:
x = 48°
Step-by-step explanation:
The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°
The 3 angles on the base line sum to 180° , that is
60° + 54° + base = 180°
114° + base = 180° ( subtract 114° from both sides )
base = 66°
The triangle on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°
Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour
Answers
Answer:
Step-by-step explanation:
that sucks
Answer:
Answer: 20025 gallons per hour
89 times 60= 5340 cups in one minute
5340 times 60= 320,400 cups in one hour
Convert 320,400 cups into gallons and you will get 20025.
Not positive if this is correct but it’s better than nothing lol
How many solutions does 7( X -5 ) = X +13
Answers
Answer:
x=8 (one solution)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7(x−5)=x+13
(7)(x)+(7)(−5)=x+13(Distribute)
7x+−35=x+13
7x−35=x+13
Step 2: Subtract x from both sides.
7x−35−x=x+13−x
6x−35=13
Step 3: Add 35 to both sides.
6x−35+35=13+35
6x=48
Step 4: Divide both sides by 6.
x=8
Answer:
x = 8 (one solution)
Step-by-step explanation:
7x - 35 = x + 13
-x -x
6x - 35 = 13
+35 + 35
6x = 48
divided by six on both sides
x = 8
whats bigger? -6 or -5????? PLZ HELP
Answers
Answer:
-5 is more positive than -6. SO bigger, I think means less negative, so -5.
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!
Hope this helps!
can someone please help me with this
Answers
Answer:
ABC = 113°
Step-by-step explanation:
If ABD is 70° and DBC is 43°
ABC is 70°+43° = 113°
A printing company sells small packages of personalized stationery for $7 each, medium
packages for $12 each, and large packages for $15 each. Yesterday, the company sold 9
packages of stationery, collecting a total of $86. Three times as many medium packages
were sold as large packages.
Can someone set up the question? I’m unsure of what the equations would be.
Answers
Step-by-step explanation:
what's the question ? it does not say.
I assume it is "how many packages of what size were sold ?"
x = number of small packages
y = number of medium packages sold
z = number of large packages sold
x + y + z = 9
7x + 12y + 15z = 86
y = 3z
these are the 3 equations we get out of the question.
we put the third equation into the other two :
x + 3z + z = x + 4z = 9
7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86
it of this first equation we get
x = -4z + 9
and putting that into the other equation :
7×(-4z + 9) + 51z = 86
-28z + 63 + 51z = 86
23z = 23
z = 1
y = 3z = 3×1 = 3
x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5
so, 5 small, 3 medium and 1 large packages were sold.
50 POINTS!!
Mr. reed and Mr. Bob are conducting a sensitive physics experiment and are standing
on a coordinate grid. They need to place a motion sensor exactly halfway between
them. If Mr. To is standing at coordinates (–7, 3), and Mr. Syal is standing at (5, -5),
where should the motion sensor be placed?
Answers
Answer:
(-1,-1) I think
If angle 3 = 81, what is angle 4?
Answers
Answer:
99 degrees
Step-by-step explanation:
Angle 3 and 4 added together is 180 degrees since it is a straight line.
if you know angle 3 is 81 degrees, then angle 4=180-81=99
Answer:
99 is the measure of angle 4
Step-by-step explanation:
Two parralel lines cut by a transversal.
This is all you gotta remember
Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)
Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)
Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)
Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)
Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)
Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.
You can buy laundry product in a 28-ounce bottle for $6.44 or in a 24-ounce bottle for $4.80.
Answers
Answer:
what is the question
Step-by-step explanation:
tell me the question
