Answer:
f ( 3 ) = 81
Step-by-step explanation:
→ Substitute in x = 3
9 × 3² - 3
→ Simplify
9 × 9 - 3
→ Simplify again
78
A parabola can be drawn given a focus of (1,-3) and a directrix of x=9, what can be said about the parabola?
Check the picture below.
well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.
what is 6 over x-8 - 3x over x squared -5
Answer:
6/x^5-2x-8
Step-by-step explanation:
6 over x-8-3x is
6/x-8-3x/x^-5
Over x^-5
x^-5 can be rewritten as
6/x-8-3x+x^5
Simplify:
6/x^5-2x-8
Hope this helps!
In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics? Give your answer as a decimal to one decimal place.
The probability that someone who does not study calculus studies physics is 0.5
Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.
Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.
Given that the number of students who study physics are 600, we have
x + y = 600 (1)
Also, given that the number of students who study calculus are 300, we have
x + z = 300 (2)
From (1)
y = 600 - x
y = 600 - 100
y = 500
So, the probability of students that study only physics = probability that someone who does not study calculus studies physics is
P(physics) = number of students studying only physics/total number of students
= 500/1000
= 5/10
= 0.5
So, probability that someone who does not study calculus studies physics is 0.5
Learn more about probability here:
https://brainly.com/question/19916581
Which statement represents the expression?
24−8÷4
A.24 minus 8 divided by 4
B.the difference of 24 and 8 divided by 4
C.24 minus the quotient of 8 divided by 4
D.24 minus 4 divided by 8
Answer:
Which statement represents the expression?
24−8÷4
A. 24 minus 8 divided by 4
B. the difference of 24 and 8 divided by 4
C. 24 minus the quotient of 8 divided by 4
D. 24 minus 4 divided by 8
The answer is a. 24 minus 8 divided by 4
-----------------------------------
[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
Hope it is useful...Calcula el área de un círculo cuyo diámetro mide 4 metros.
Answer:
12.56 m²
Step-by-step explanation:
Circle with diameter 4 has a radius of 2
Area of Circle = πr²
Area of Circle = 3.14(2²)
Area of Circle = 12.56
El círculo de diámetro 4 tiene un radio de 2
Área del círculo = πr²
Área del círculo = 3,14 (2²)
Área del círculo = 12.56
-Chetan K
3/4 x 2 5/6 ÷ 2 + 34
Answer: 35 1/16
Exact form: 561/16
Explanation:
what is 6/10 plus 4/10
Answer:
1
Explanation:
[tex] \frac{6}{10} + \frac{4}{10} [/tex]
By taking LCM
We get
[tex] \frac{6 + 4}{10} = \frac{10}{10} = 1[/tex]
Answer:
The answer is 10/10 or just 1.
Step-by-step explanation:
Six less than the product of four and a number X
[tex]6 < 4x[/tex]
Hope this helps:)
Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)
Answer:
x – 4y = 20
Step-by-step explanation:
Put the line above in Slope Intercept Form
You can do that by solving for y
y = (1/4)x - 5
The slope, m above is 1/4
The perpendicular will a negative inverse slope m = -4
In Slope Intercept Form your perpendicular line starts below
y = -4x + b
Use the coordinates of the given point on the line (2, -5) to insert and solve for b
-5 = -4(2) + b
-5 = - 8 + b
Add 8 to both sides of the equation
-5 + 8 = b
3 = b
Finally your perpendicular line
y = -4x + 3
I hope this helps
Check my arithmetic
Answer:
×4y=20
Step-by-step explanation:
mark me as brainlist please
2
Technology required. A plane leaves the ground with an elevation angle of 6 degrees.
The plane travels 10 miles horizontally.
a. How high is the plane at the time?
b. What is the distance of the plane's path?
Round answers to the nearest tenths.
How high is the plane at this time?
miles
What is the distance of the plane's path?
miles
The height of the plane at that time is 1.1 miles
The distance of the plane's path is 10.1 miles
The situation forms a right angle triangle.
Using trigonometric ratio,
tan 6° = opposite / adjacent
The height of the plane is the opposite side of the triangle. The adjacent
side is the distance travelled horizontally. Therefore,
tan 6° = h / 10
cross multiply
h = 10 tan 6°
h = 10 × 0.10510423526
h = 1.05104235266
height of the plane at that time = 1.1 miles
The distance of the plane path is the hypotenuse of the triangle formed.
Therefore,
c² = a² + b²
c² = 10² + 1.1²
c = √101.21
c = 10.0603180864
c = 10.1 miles
plane's path = 10.1 miles
learn more: https://brainly.com/question/10877044?referrer=searchResults
HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5
Answer:
-4, -1, and 5
Step-by-step explanation:
1. The x-intercepts of a function is where the function intersects with the x-axis.
2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).
This means that the x-intercepts are -4, -1, and 5.The states that a2 + b2 = c2, when finding the length of a side for a right triangle.
Answer:
Pythagoras Theorem
Step-by-step explanation:
Answer:
so if I do b1+a1=c1 ok me done
5x + 3y = 4; solve for x.
Answer:
x= - 3/5y +4/5
Step-by-step explanation:
isolate x:
5x+ 3y= 4
5x= -3y+ 4
x= -3/5y +4/5
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
Answer:
5200 AED or 1404 USD
Step-by-step explanation:
You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.
5000 * 1.04 = 5200
If the question is asking in USD, the conversion rate from AED to USD is
AED * 0.27 = USD
We can substitute
5200 AED* 0.27 = 1404 USD.
WILL GIVE BRAINLIEST
(4x - 5) m
(7x - 17)m
(2x + 3) m
The perimeter of this triangle is
m.
Answer:
The perimeter of triangle is 33 meters.
Step-by-step explanation:
Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:
7x - 17 = 4x - 5
7x - 4x = 17 - 5
3x = 12
x = 12 ÷ 3
x = 4
OR:
4x - 5 = 2x + 3
4x - 2x = 3 + 5
2x = 8
x = 8 ÷ 2
x = 4
Substitute x = 4 into all expressions:
7x - 17 = 7(4) - 17 = 11 meters
4x - 5 = 4(4) - 5 = 11 meters
2x + 3 = 2(4) + 3 = 11 meters
In order to find out the perimeters, you have to add up all the sides:
P = 11 + 11 + 11
P = 33 meters
Answer:
p = 33 m
Step-by-step explanation:
Since this is an equalateral triangle all the sides are equal
-----------------------------
set any two sides equal
7x - 17 = 2x + 3
subtract 2x from both sides
5x - 17 = 3
add 17 to both sides
5x = 20
Divide both sides by 5
x = 4
------------------------------
Find the length of any side
s = 2x + 3
s = 2(4) + 3
s = 11
-----------------------
the perimiter is the three times any side
p = 3s
p = 3 * 11
p = 33 m
If a = 3 and b = 5, find a/b= option 1 = 5/3 option 2 = 3/5 option 3 = 2/5
Answer:
34
Step-by-step explanation:
yeah
Answer:
Answer is option 2 = 3/5
Step-by-step explanation:
a/b=3/5
which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)
Answer:
D. 2x^3(x-3)/5(x+3)
Step-by-step explanation:
when we simplify it.. we get 2x^3(x-3)/5(x+3).
x+3-3= -6
its my quick hot sauce
The company charges $85 for each
16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales?
Answer:
8,500,000
Step-by-step explanation:
if they sold 100,000 bowling balls and they are all 16 pound balls then the equation is (100,000 x 85) with then equals 8,500,000.
Please explain this to me please
Will give brainly if you actually answer the questions
Answer:
Step-by-step explanation:
11) $175(1 - 0.30)(1 + 0.06) = $129.85
12) slope is 2, so basic equation is
y = 2x + b
plug in your desired point
-5 = 2(-4) + b
b = 3
y = 2x + 3
Simplify the ratio 25 :15
Answer:
5/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 25 and 15 is 5
Divide both the numerator and denominator by the GCD
25 ÷ 5
15 ÷ 5
Reduced fraction:
5
3
Therefore, 25/15 simplified to lowest terms is 5/3.
brailiest pls hope it helps
Holly ate 3 brownies from a pan with nine pieces what two equivalent fractions describe how much she ate?
A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.
Answer: $113.89
Step-by-step explanation:
108.99 * 0.045
= 4.90455
108.99 + 4.90455
= 113.89455
$113.89
Answer:
Total Cost = $113.89
Step-by-step explanation:
Total Cost = Cell phone cost + sale Tax % ( cell phone cost)
Total Cost = $108. 99 + .045 × $108.99
Total Cost = $108.99 + $4.90455
Total Cost = $108.99 + $4.90
Total Cost = $113.89
Solve the inequalities from parts A and D for the variables b and n, respectively.
Part A:2b<56
Part D:n<56
Answer:
Part A: b < 28
Part D: n < 56
Step-by-step explanation:
part A: divide each term in and simplify.
Inequality Form: b < 28
part d: this is already solved but can be shown in multiple forms.
Inequality Form: n < 56
Interval Notation: ( -∞ , 56)
Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9
21x/8−3y=−6
Ninety (90) milliliters is equal to how many tablespoons?
Answer: 6.087 tablespoons. or rounded to nearest whole, 6
Step-by-step explanation:
I just know
What's fish + nine?
I NEED HELP!?
Answer:
nine fish............
Answer: 9 Fish
Step-by-step explanation:
Simplify this expression:
[tex](-3c^8)(2c^6d^8)\implies (-3)(2)c^8c^6d^8\implies -6c^{8+6}d^8\implies -6c^{14}d^8[/tex]
68% of what number is 17
Answer:
25
Step-by-step explanation:
We can set up an equation and solve for x (68% of x is 17)
68%*x=17 perform the inverse operation and divide both sides by 68%
dividing both sides by 68% will isolate the x variable
68%*x/68%= 17/68%
x=17/68%
x=25
so, therefore,
68% of 25 is 17
Answer:
[tex]\displaystyle 11\frac{14}{25}[/tex]
Step-by-step explanation:
Whenever you take a percentage of something, you multiply. Turn 68% into a fraction and multiply by 17:
[tex]\displaystyle \frac{289}{25} = [\frac{17}{25}][17] \\ \\ \boxed{11\frac{14}{25}} = \frac{289}{25}[/tex]
I am joyous to assist you at any time.
Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
