Answers
Y= a (x-h)^2 + k
Now we have to identify the vertex which is (-4,-3). Now substitute the vertex for (h,k). So now we have.
Y= a( x-(-4)^2 + (-3)
This gives us
Y = a(x+4)^2 -3
Now we have to pick a point from the graph to substitute for the x and y values. This can be any point expect for the vertex. I have chosen (-3,-1). Now let’s substitute:
-1= a(-3+4)^2-3
Now we have to solve for a:
-1=a(1)^2 -3
-1= a-3
-1+3=a
a= 2
Now that we know the value of a we can write the equation down:
Y= 2(x+4)^2 + 3
Related Questions
What is the gradient of the graph shown ? Give your answer in its simplest form
Answers
Answer:
-2
Step-by-step explanation:
choose any point on the graph
Answer:
Step-by-step explanation:
Yo you man its 3
3. Marilyn hit a golf ball on the ground with her driver. Use
the general function for a projectile to write a function
that shows the height in feet of her golf ball as a function
of time. The ball was hit with an initial vertical velocity of
130 feet per second.
h(t) = -16t2 + 130t
a) How long will Marilyn's ball stay in the air?
b) What was the maximum height of the ball?
Answers
It will take the ball 4.0625secs to stay in the air
The maximum height of the ball is 264.0625m
Given the function representing the height reached by the golf expressed as;
h(t) = -16t^2 + 130t
The velocity function is expressed as:
v(t) = -32t + 130
At maximum height, the velocity of the ball will be zero, i.e v(t) = 0
0 = -32t + 130
32t = 130
t = 130/32
t = 4.0625
Hence it will take the ball 4.0625secs to stay in the air
b) Substitute t = 4.0625 into the height function to have:
h(t) = -16t^2 + 130t
h(t) = -16(4.0625)^2 + 130(4.0625)
h(4.0625) = -264.0625 + 528.125
h(t) = 264.0625m
Hence the maximum height of the ball is 264.0625m
Learn more on velocity function here: https://brainly.com/question/10962624
Substitution method
-3x + 3y = 4
-x + y = 3
Answers
Plz solve. The question is in the picture. 100 points and brainliest.
Answers
Answer:
A
Step-by-step explanation:
Ignore the numbers
Help me how do I do this question
Answers
Answer:
He will not have enough money
Step-by-step explanation:
you were able to identify the total area
which is 72+42 = 114 m^2
each tin covers 12 m^2,
114/12 = 9.5, so will need 10 tins (can't buy half a tin)
each tin cost 19£, so 10 will cost
10*19=190£
Caretaker will not have enough money
he is 60£ short
solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me
Answers
Answer:
(2, 1)
Step-by-step explanation:
graph 3x+y=7 and x=2y
make both slope intercept form for easier graphing
y=-3x+7
2y=x, y=1/2x
(2, 1)
check
3*2+1=7
6+1=7
7=7
1=1/2*2
1=1
Consider the following equation.
x+2y=4
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.
Answers
Substitute the value of y, which is 12, into the equation and solve for x.
X+2y=4
X+2(12)=4
X+24=4
-24 -24
——————
X=-20
Determine the intercepts of the line.
Do not round your answers.
y = 4r +7
Answers
Answer:
(-7/4, 0) (0, 7)
Step-by-step explanation:
I'm assuming r is x
0=4r+7
r=-7/4
y=0r+7
y=7
What is the prime factorization of 270?
Answers
270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5
ok done. Thank to me :>
Answer:
2x3x3x3x5
Step-by-step explanation:
if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order
Use set builder notation to write the set E= {1, 3, 9, 27}
PLEASE NO SPAMMING I NEED AN ANSWER NOW
Answers
Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
f(x)=(1/7)^x then what is f(-3)
Answers
Answer:
[tex]f(-3)=343[/tex]
Step-by-step explanation:
[tex]f(x)=(\frac{1}{7} )^x[/tex]
Plug -3 into x and solve using the negative power rule:
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]
Sorry, those fractions got very small. Let me know if I need to clarify anything there
What is the solution to
4
+ 5 = 2 ?
X-3
Answers
Answer:
what you men
Step-by-step explanation:
Answer:
This may not be right, but I tried! I believe its 6.
Step-by-step explanation:
if someone helps me with dis ill give u brainliest
Answers
Answer:
4 different answers
Step-by-step explanation:
1.
[(24/3) + (5*2^2)] = 28
2.
[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3
3.
[(24/3 + 5)*2^2] = 52
4.
[(3 + 5*2^2)/24] = 23/24
Answer:
Step-by-step explanation:
1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.
what are the solutions to the equation (x-2)(x-4)=8?
Answers
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
learn more about quadratic equations here :
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can someone pls help me with dis ill give brainliest
Answers
9514 1404 393
Answer:
a) 9×10⁶ +1×10³ +1×10²
b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
Step-by-step explanation:
The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.
a)9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²
__
b)87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2
= 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
_____
Additional comment
It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.
You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.
Richard purchases a box of 12 cookies and Meghan purchases a bag of 10 cookies. Richard ate x amount of cookies from his box while Meagan ate half the number of cookies Richard ate. How many cookies did Richard eat if they had the same number of cookies left
Answers
Richard: 12 cookies
Meghan: 10 cookies
If Richard eats 4 cookies, then Meghan would eat half, or 2. So Richard would have 8 cookies, and Meghan would also have 8 cookies.
12 - x = 10 - x/2
If x = 4
12 - 4 = 10 - 4/2
8 = 8
Which confirms that Richard would have to eat 4 cookies for them to have the same amount.
I hope this helps! :)
25 points! Help (Vectors)
Answers
Answer:
[tex]7\cos(30^{\circ})[/tex]
Step-by-step explanation:
if y=x^3+3 find the value of y when x=2
Answers
Answer:
11
Step-by-step explanation:
Substitute [tex]x=2:[/tex]
[tex]y=x^3+3[/tex]
[tex]y=2^3+3\\ =8+3\\ =11[/tex]
Scores in the first and final round for a sample of 8 golfers who completed golf tournament as shown below. Golfer First Round Final Round 1 73 78 2 68 75 3 70 66 4 67 71 5 71 73 6 70 68 7 68 65 8 73 72 a. State any appropriate hypothesis that can be tested for the above data. Use 2% level of significance to test the stated hypothesis. Use p-value approach
Answers
Answer:
golfing is fun but not to fun
Step-by-step explanation:
Given that m||n, find the value of x.
Answers
Answer:
[tex] \boxed{ \sf{x = 65 \degree}}[/tex]
Step-by-step explanation:
In the given figure we have two corresponding angles.
We know that corresponding angles are equal to each other
So,
2x+5 = 1352x = 135 - 52x = 130x = 130/2x = 65Therefore, x = 65°
Corresponding angles are same
[tex]\\ \sf\longmapsto 2x+5=135[/tex]
[tex]\\ \sf\longmapsto 2x=135-5[/tex]
[tex]\\ \sf\longmapsto 2x=130[/tex]
[tex]\\ \sf\longmapsto x=130/2[/tex]
[tex]\\ \sf\longmapsto x=65°[/tex]
Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,440. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,400. At the end of 8 years, the company will sell the truck for an estimated $27,700. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.
Answers
The payback period of the investment is 6.6 years.
The net present value is $7,797.22.
The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.
Payback period = Amount invested / cost saving
$55,440 / $8,400 = 6.6 years
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be determined using a financial calculator
Cash flow in year 0 = $-55440
Cash flow in year 1 to 7 = $8,400
Cash flow in year 8 = $8400 + $27,700
I = 8%
NPV = $7,797.22
To learn more about net present value, please check: https://brainly.com/question/13739943?referrer=searchResult
What is the solution of this inequality?
r−10>−7
Drag and drop the choices to correctly complete the inequality.
r Response area Response area
Answers
Answer:
=r-10+10>-7+10
=r>3
first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.
For r > 3, the inequality r - 10 > -7 is satisfied.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is inequality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -
3x + 4 > 5
ax + b < c
We have the following inequality -
r - 10 > -7
We can write -
r - 10 > -7
r - 10 + 10 > - 7 + 10
r > 3
Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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Mr. Walthour is building a storage in a conical shape. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed? Round to the nearest tenth.
Answers
meters cubed
The formula for volume of a cone is 1/3 area of base times height
We can find the r of the base by dividing the diameter by 2 which can then be used in pi r squared to find the area of the base. Now we just have to multiply this by the height (which is 3.8) and then divide by 3
At a coffee shop, a latte costs $5.50 and
hot tea costs $1.75. Each day, Parker
buys 2 hot teas and several lattes for
his office staff. Which equation can be
used to find y, Parker's total cost, if x
represents the number of lattes? (7.1A,
7.1B, 7.1D, 7.1F)
A y = 5.50x + 3.50
BY 5.50x + 1.75
C y = 1.75x + 5.50
Dy = 3.50x + 5.50
Answers
Answer:
A) y = 5.50x + 3.50
Step-by-step explanation:
2 x 1.75 = 3.50 + x number of lattes $5.50 each.
The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.
Answers
For a square:
A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s
length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35
4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. Write a system of equations to determine how many of each type of question are on the test. A) Define your variables. You can use any letters you want) B) Write your system of equations. (There should be 2 separate equations)
Answers
9514 1404 393
Explanation:
A)
Let t and f represent the numbers of two-point and four-point questions, respectively.
__
B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.
2t + 4f = 100 . . . . . the test is worth 100 points
t + f = 40 . . . . . . . . there are 40 questions on the test
_____
Additional comment
The test will have 30 two-point questions and 10 four-point questions.
I need help really bad! I have literally no clue what the answer is to this question
Answers
Answer: C is the answer
Answer:
The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value
Explain the meaning of 5?
a. 1 + 2 + 3 + 4 + 5
b. 5-4-3-2-1-0
c. 0 x 1 x 2 x 3 x 4 x 5
d. 5 ∙ 4 ∙ 3 ∙ 2 ∙ 1
Answers
B. 5 is being subtracted
C. 5 is being multiplied
D. 5 is being multiplied
I hope these answers are correct
Faktor dari bilangan 18 adalah....
Answers
Step-by-step explanation:
1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.
Please hurry will mark brainliest if you answer correctly
Answers
Answer:
24.3
Step-by-step explanation:
Answer:
The answer would be 24.3