Answer:
y=2( x - [tex]2^{2}[/tex])-2
Step-by-step explanation:
Use the vertex form, y=a(x - [tex]h^{2}[/tex])+k to determine the values of A,H,K
a=2
h=2
k= -2
Since the value of a is positive the parabola opens up.
Find the vertex (h,k)
(2, -2)
Find p the distance from the vertex to the focus.
[tex]\frac{1}{8}[/tex]
Find the focus
(2, -[tex]\frac{15}{8}[/tex])
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=2
Rewrite the quadratic expression in faceted format: f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21
Answer:
[tex]f(x)=-x^2-4x+21[/tex]
Step-by-step explanation:
The given equation is :
f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.
We need to rewrite this equation in faceted format.
The general form of a quadratic equation is given by :
[tex]f(x)=ax^2+bx+c[/tex]
We have,
a = -1, b = -4 and c = 21
Substitute all the values,
[tex]f(x)=-x^2-4x+21[/tex]
So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].
Why do equivalent ratios form a straight line when graphed?
Answer:
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edgen
Can someone help me find the volume of the cone and the entire figure
Answer:
10x15x10 1500
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
f(n)=-13-2(n) if n=-1 then f(n)=-15 if n=-2 then f(n)=-17
Write the slope intercept form of the equation of each line given the slope and y intercept
Answer:
Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE HELP
1. Melanie invested $12,200 at 4.8% interest compounded semiannually, and she wants to know how much her investment will be worth in 8 years. (5 points: Part I – 1 point; Part II – 2 points; Part III – 1 point; Part IV – 1 point)
Part I: What is the periodic interest rate of Melanie's investment?
Part II: How many compounding periods does Melanie's investment offer in a year? How about in 8 years?
Part III: What expression can Melanie write to figure out how much her investment will be worth in 8 years?
Part IV: How much will Melanie's investment be worth in 8 years?
Answer:
Part I
4.8% compounded semiannually means 4.8%/2 = 2.4% per 6 month periodPart II
Period is 6 months, so 2 periods in a year and 2*8 = 16 periods in 8 yearsPart III
A = $12200*(1 + 0.024)^16Part IV
A = $12200*(1 + 0.024)^16 = $17830.32One customer paid $12 for 14 postcards and 5 large envelopes. Another customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?
Answer:
$1.42
Step-by-step explanation:
Since, The first customer paid $12 for 14 postcards and 5 large envelopes.
That is, 14 x + 5 y = 12 ------ (1)
And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.
That is, 10 x + 15 y = 24.80 -------(2)
3 × equation (1),
We get, 42 x + 15 y = 36 ---------(3)
Equation (3) - Equation (2)
32 x = 11.20
⇒ x = 11.20/32
⇒ x = 0.35
By putting the value of x in equation (1),
We get, 14 × 0.35 + 5 y = 12
⇒ 4.9 + 5 y = 12
⇒ 5 y = 7.1
⇒ y = 1.42
Thus, the cost of one postcard = $ 0.35
And, the cost of each large envelope = $ 1.42
A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ feet
Answer:
72 ft
Step-by-step explanation:
Here, we want to get the maximum height the ball will reach
the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation
So we need firstly, the vertex of the given quadratic equation
The vertex can be obtained by the use of plot of the graph
By doing this, we have it that the vertex is at the point (3,72)
Thus, we can conclude that the maximum height the ball can reach is 72 ft
An ice cream shop makes sundaes with chocolate or vanilla flavors and sprinkles,
fudge or caramel toppings. Which tree diagram shows all possible flavor combinations of sundaes with one flavor of ice cream and one topping?
Answer:
top left aka the first option
The tree that shows the correct combination of one flavor of ice cream and one topping is the the first tree.
What is tree diagram ?A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.
Tree diagrams, also known as probability trees or decision trees, are quite versatile and may be useful in many fields, including finance.
A tree diagram lets a user start at a single point and make mutually exclusive decisions or experience mutually exclusive events to follow a path down the branches of the tree. Using a tree diagram is simple once you assign the appropriate values to each node.
From the question, and the definition it is clear that vanilla splits into fudge and caramel and chocolate to sprinkles.
Hence A is the correct option.
To know more about tree diagram here
https://brainly.com/question/13311154
#SPJ3
what is the total number of outcomes from selecting one entree from a choice of nine entrees and one dessert from a choice of three desserts?
Identify the coeficient: 6x + 19
Answer:
25x
Step-by-step explanation:
6x + 9 = 25x
Answer:
6
Step-by-step explanation:
Coefficients are the numbers in terms with the variable
6 is the number with the variable (x)
Which transformation shows a translation of 3 units to the right?
A)
А
B)
B
0)
С
D)
D
Answer:
B
Step-by-step explanation:
It shows the P moving to the right three units without flipping it.
Which of the following shows how to simplify 2 (4a + 6)?
O 8a + 12
O 12a + 8
O 2a + 3
Antonio writes the equation 80.4 ÷ d = 0.0804.
Part A
What value of d makes the equation true?
A. 10 to the 2 power
B. 10 to the 3 power
C. 10 to the 4 power
D. 10 to the 5 power
Answer:
B
Step-by-step explanation:
Because
A)
[tex]80.4 \div {10}^{2} = 0.8.4[/tex]
B)
[tex]80.4 \div 10^{3} = 0.0804[/tex]
C)
[tex]80.4 \div {10}^{4} = 8.04 \times {10}^{ - 3} [/tex]
D)
[tex]80.4 \times {10}^{5} = 8.04 \times {10}^{ - 4} [/tex]
factoring special case
factor each completely
9x2-1
HELP Use either law of sines or law of cosine. Need help on this problem! show work please!
Answer: x = 15.035677095729 approximately
Round this however you need to.
=================================================
Explanation:
I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.
If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:
sin(Q)/q = sin(R)/r
sin(Q)/PR = sin(R)/PQ
sin(Q)/13 = sin(85)/19
sin(Q) = 13*sin(85)/19
sin(Q) = 0.6816068987
Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)
Q = 42.9693397461 ... or ... Q = 137.0306602539
These values are approximate.
----------------
Now if Q = 42.9693397461 approximately, then angle P is
P = 180-Q-R
P = 180-42.9693397461-85
P = 52.0306602539
Similarly, if Q = 137.0306602539 approximately, then,
P = 180-Q-R
P = 180-137.0306602539-85
P = -42.0306602539
A negative angle is not possible, so we'll ignore Q = 137.0306602539
----------------
The only possible value of angle P is approximately P = 52.0306602539
Let's apply the law of sines again to find side p, aka segment QR
sin(P)/p = sin(R)/r
sin(P)/QR = sin(R)/PQ
sin(52.0306602539)/x = sin(85)/19
19*sin(52.0306602539) = x*sin(85)
19*sin(52.0306602539)/sin(85) = x
x = 15.035677095729
This value is approximate.
Round this value however you need to.
1/3 = 0.333 repeating 3/3=1 0.333*3=0.999 repeating. Does 0.999 repeating =1? Please explain I've asked this twice already!!
Answer:
yes and no
Step-by-step explanation:
0.999... is as close as you can get to 1 and not actually be there.
Most people just round up to 1
To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.
Answer:
[tex]p > 80[/tex]
Step-by-step explanation:
Given
Points = More than 80
Required [Missing from the question]
Represent as an inequality
Let p represents the number of points.
More than means greater than i.e. >
Hence, more than 80 is represented as;
[tex]p > 80[/tex]
The length of a rectangle is 3 inches longer than twice its width, where w is the width of th
rectangle. The area of the rectangle is 90 square inches. *
Answer:
6 in and 15 inStep-by-step explanation:
Given:
l = 2w + 3A = 90 in²w = ?l = ?Area formula:
A = lwSubstitute values and solve for w:
(2w+3)w = 902w² + 3w = 902w² + 3w - 90 = 0w = (-3 ± [tex]\sqrt{3^2 - 4*2*(-90)}[/tex])/2*2w = (-3 ± √729)/4w = (-3 ± 27)/4w = 6 (positive root only)The width is 6 in, find the length:
l = 2*6 + 3 = 15 inwidth be x
Length be 2x+3Now
area=Length×Breadthx(2x+3)=902x²+3x=902x²+3x-90=0On solving we will get
x=6[Take positive]Now
Length=2(6)=3=15in
What is the midpoint of the segment with endpoints (1,9)and(-3,5)
Answer:
(-1,7)
Step-by-step explanation:
plz help me to find this answer plz
Answer:
I think the answer would just be 2, I'm not for sure on this one
It’s lines please help me
Answer: maybe line C, i dont know
Step-by-step explanation:
please help me out, thank youuu !
The diameter of a circle is 14 cm. Find its area in terms of \piπ.
answer this and don’t answer if you are not smart
Answer:
60 degrees
Step-by-step explanation:
This is a complementary angle, so the equation to use is 30+x=90.
To find out what x is, we have to use the Subtraction Property of Equality.
30+x=90
-30 -30
x=60
Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.
Answer:
Step-by-step explanation:
If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).
Answer:
B
Step-by-step explanation:
f(x) - g(x)
= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL
= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1
= 2x² - 4x - 3 - x² + 16 ← collect like terms
= x² - 4x + 13 → B
if y° and 75° are the opposite angles of rhombus, then y°=.....
Answer:
if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]
What do the a b and c stand for in the pythagorean theorem?
Answer:
A, B, and C are labeled for each side of a right triangle.
Step-by-step explanation:
A and B are used to label the legs while C is used to label the hypotenuse(AKA the long side of a right triangle and the side opposite of the 90° angle.) The B side is the opposite side of the hypotenuse or the side C. The A is the bottom leg that is in between sides B and C.
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by finding the derivative
Answer: [tex]v=-3[/tex]
Step-by-step explanation:
Given
The position of a particle is [tex]s(t)=-9-3t[/tex]
Velocity is given by the derivative of position with respect to time
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]
So, velocity is constant at any point in time.
At t=8, it is [tex]v=-3[/tex]