9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
Un carro utiliza 8 litros de gasolina para recorrer 96 kilómetros.Cuantos kilómetros recorre con 35 litros?
Answer:
415.625
Step-by-step explanation:
1. Yo dividida 35 por 8. La respuesta de eso es 4.375.
2. Yo multiplica 4.375 por 95. La respuesta es 415.625 km.
Solve the equation below for x.
0.5(x + 7) + 9 = 43
Answer:
x = 61
Step-by-step explanation:
0.5(x + 7) + 9 = 43
0.5x + 3.5 + 9.0 = 43
0.5x + 12.5 = 43.0
0.5x = 30.5
x = 30.5 / 0.5
x = 61
The solution to the value of x in the equation is 61
In a mathematical concept, an algebraic expression consists of variables, constants with their arithmetic operations.
From the given parameters
0.5(x + 7) + 9 = 43
Open brackets
0.5x + 3.5 + 9 = 43
0.5x + 12.5 = 43
0.5x = 43 - 12.5
0.5x = 30.5
x = 30.5/0.5
x = 61
Learn more about algebraic expressions here;
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anyone knows the answer ?
Answer:
yes
Step-by-step explanation:
I have 2 dice. If I roll both dice, what is the probability of rolling a 5 and then an even number
Answer:
1/6 and 1/2 or 3/6
Step-by-step explanation:
there's a 1 in 6 chance that u would roll a 5 but there's a higher chance of getting an even number as 3 out of 5 of those numbers are even so that would be 3/6 or simplify to 1/2
answers for both boxes please
Step-by-step explanation:
-5x + 4y = 2
+ (9x - 4y = 6)
=> 4x = 8, x = 2.
Therefore -5(2) + 4y = 2, 4y = 12, y = 3.
The solution pair is (2,3).
Element X decays radioactively with a half life of 6 minutes. If there are 260 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 113 grams
Answer:
7.2 minutes
Step-by-step explanation:
The formula to find the time using the radioactive decay rate formula is given as:
t = t½ × In(Nt/No)/-In2
Where
t½ = half life = 6 minutes
No = Initial Amount = 260 grams
Nt = Amount after decay
= 113 grams
Hence:
t = 6 × In(113/260)/-In2
t = 7.2131331036796 minutes
Approximately = 7.2 minutes
A 29-m tall building casts a shadow . The distance from the top of the building to the top of the shadow is 32m. Find the length of the shadow.
One number is 7 more than twice another tumber. The sum of the numbers is 22. What is
one of the numbers?
Answer:
5
Step-by-step explanation:
for the question, let's make a variable
Assume one number is X and we can get a equation like this:
X + 2X+7 = 22
X + 2X = 22 - 7
3X = 15
X = 5
What is the x-intercept of 10x + 4y = -20
Answer:
(-2,0)
Step-by-step explanation:
When finding the x intercept, substitute 0 for Y. -20/10=-2.
I hope this helps
Answer:
The x-intercepts of that is (-2,0).
please help me i will brainliest i swear
Answer:
B
Step-by-step explanation:
In 3y+1, the 3 is the coefficient
Rewrite the expression in the form 8^n
(8^-8)(8^3)
Step-by-step explanation:
Law of Indices:
a^m * a^n = a^(m + n)
Hence,
8^(-8) * 8^(3) = 8^(-8 + 3) = 8^(-5).
Answer:
8^‐5
Step-by-step explanation:
I think this is correct. if those are exponents.
A cylinder has a diameter of 20cm.
The height of the cylinder is 3/5 the length of the diameter.
Calculate the volume of the cylinder in terms of π
Answer:
V = 1200π
Step-by-step explanation:
Volume of a cylinder formula:
V = πr²hLet's find the height of the cylinder by multiplying 20 cm by 3/5.
20 * 3/5 = 60/5 = 12 cmThe radius is 1/2 of the diameter, so:
20 * 1/2 = 20/2 = 10 cmSubstitute 12 for h and 10 for r into the volume formula.
V = π(10)²(12)Simplify.
V = π * 100(12) V = π * 1200The volume of a cylinder, in terms of π, is V = 1200π.
How to do these math problems, due tomorrow and I need them done asap, really stressed
What is the value of x?
Enter your answer in the box.
6 cm
5cm
48 cm
3x + 7
x =
Answer:I'm guessing 48
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
Took the test
HELP PLSSSS LOL!!!!!!!
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
Selecting an SUV with a blue exterior?
1/12 is the answer there wasnt much specified but thats what i came up with and btw if your just asking a question i honesty dont think blue looks good on a suv :)
Answer:
yes
Step-by-step explanation:
Mr. Gibson has $800 in his bank account. His brother has 100 times as much money in his bank account as Mr. Gibson has. How much money does Ms. Gibson's brither have in his bank account? *
!!! PLEASE I NEED HELP ASAP!!!
What is the domain of the following function?
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answer:
90
Step-by-step explanation:
The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?
x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles
x [tex]\geq[/tex] 433
explanation:
let m equal miles
0.30m + 69.99 = 200
-69.99 -69.99
0.30m = 130. 01
130.01 / 0.30 = 433. 36...
but we're gonna round it to 433
so 433 miles
Simplify the expression by combining like terms.
3.6x+5.9−2.2−1.7x
Answer:
1.9x+3.7
Step-by-step explanation:
Subtract 3.6x-1.7x
and 5.9-2.2
The solution is 1.9x + 3.7
The value of the equation is given as A = 1.9x + 3.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 3.6x + 5.9 - 2.2 - 1.7x be equation (1)
On simplifying the equation , we get
On grouping the similar terms
The value of A = ( 3.6x - 1.7x ) + ( 5.9 - 2.2 )
The value of A = 1.9x + 3.7
Therefore , the value of A is 1.9x + 3.7
Hence , the equation is A = 1.9x + 3.7
To learn more about equations click :
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#SPJ2
solve for x pls hurry
Answer:
x=19
Step-by-step explanation:
5(x+35)=9(300
5x+175=270
5x=270-175
5x=95
95/5=19X
Please help.... which ordered pair is NOT a solution to the inequality in the graph
Answer:
(5, 1) is the answer.
Step-by-step explanation:
This is because the point (5, 1) is NOT in the shaded area of the inequality. All the other points are either in the shaded area of the inequality, or on the line of the inequality equation.
Hope this helps!! :)
#teamtrees #WAP (Water And Plant)
Answer:
(5,1)
Step-by-step explanation:
Jason owns a party suppy store.
He sells balloons for $0.60 each and party hats for $1.50 each.
Jason buys each balloon for $0.10 and each party hat for $0.30.
Which expression represents how much money Jason gains from selling n balloons and h party hats?
A.) 1.70nh
B.) 0.50n + 1.20h
C.) 0.50n - 1.20h
D.) 0.70n + 1.80h
Answer: definitely B
Step-by-step explanation: if you buy the balloons for less than you sell, you must subtract what you pay for from the number you are selling it for, but we don't know how many he sold YET so we have a letter filling it in till we do
f(x) = -3x2 - 6x +1
Find f(8)
HELP HURRY!!
Answer:
not totally sure if this is right but if thats one of the answer choices then i think it is f(x)=-95 (so srry if i'm wrong)
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
PLEASE HELP ASAP! I REALLY NEED IT!
Answer:
c
Step-by-step explanation:
(12 x 120)/ 3.87 x 3.35=c
$121 is 16% of what?
Answer:
13.22%
Step-by-step explanation:
Need a little help. bananas a ssn as ssbs s s s sbs ssb ssb sbs ssb ssb sbs ssb
Answer:
x = 23
Step-by-step explanation:
the angles in a triangle add up to 180
the square means 90
90 + 67 + x = 180
157 + x = 180
157 - 157 + x = 180 - 157
x = 180 - 157
x = 23
PLEASE HELP ASAP !! WILL GIVE BRAINLIEST
Answer:
Last one
Step-by-step explanation: