Answer:
The minimum value is 2.8. The vertex is (-7, 2.8).
Step-by-step explanation:
Through the x^2 term we identify this as a quadratic function whose graph opens up. The minimum value of this function occurs at the vertex (h, k). The x-coordinate of the vertex is
-b 11.2
x = --------- which here is x = - ------------ = -7
2a 2(0.8)
We need to calculate the y value of this function at x = -7. This y-value will be the desired minimum value of the function.
Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields
f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8
The minimum value is 2.8. The vertex is (-7, 2.8).
Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?
Answer:
3:4
Step-by-step explanation:
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%
The Percentage increase in the purchase price each year is 4.5%.
The given function is:
[tex]V(t)=P(1.045)^t[/tex]
Where P is the purchase price of the baseball card and t is the time.
What is a function?A function is a rule that establishes a relation between two variables.
[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]
[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]
Percentage increase in the purchase price each year
=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]
[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]
[tex]=4.5%[/tex]%
Hence, the Percentage increase in the purchase price each year is 4.5%.
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HELP PLEASE ANSWER I NEED HELP
Answer:
x=30
Step-by-step explanation:
x/5-16=-10
x/5=-10+16
x/5=6
x=6×5
x=30
i neeeeee helpppp asappppppp
Answer:
y = 7x + 41
Step-by-step explanation:
the y-intercept appears to be about 40 and the only option with this intercept is the first one
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
12 points
1. FIND THE SLOPE
A. 2
6
4
B.
-2
2
-6
1-2
-4
X
0
D.
Ο Α
Answer:
i think it's 1, but I don't know if I'm right
Answer:
1
Step-by-step explanation:
2/2 = 1
I HELP NEED ASAP PLZ HELP ME
Answer:
Step-by-step explanation:
you would do 60 divided by 5 which would get you 12
then you multiply 12 by 3 which would be 36
lastly you would multiply 36 by 7 which would get you
252
Answer:
so first you take 7 and you multiply by 60 bc that way you will have the minutes 60x7=420 then you divide 420 by 5 and get 84 then 84x3=252
Step-by-step explanation:
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
Answer:
72 kg
Step-by-step explanation:
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
We are given the ratio
cement: sand:stones
= 1:2:4
The sum of proportion =
1 + 2 + 4 = 7
We are given the kg of sand = 144kg
Step 1
We find the total kg of cement, sand and stones = x
Using the proportion of sand,
2/7 of x = 144kg
2/7 × x = 144kg
2x/7 = 144kg
Cross Multiply
2x = 7 × 144kg
x = 7 × 144kg/2
x = 504kg
Therefore the total kg of cement, sand and stone = 504kg
Step 2
The amount of cement required is calculated as:
1/7 × 504 kg = 72 kg
Therefore, 72kg of cement is required.
which angle is supplementary to.... asap plz
Answer:
Angle AGC
Step-by-step explanation:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?
The winner of a raffle will receive a 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 tickets, what are the odds against your winning the boat?
Answer:
You have a 0.8% chance of winning, and a 99.2% chance of losing
name the property illustrated. 6 + (4+9) = (6 + 4) + 9
Answer:
associative property
Step-by-step explanation:
happy to help :)
Answer:
Associative Property
Step-by-step explanation:
The property says you can regroup the three numbers being added.
(a + b) + c = a + (b + c)
Either add a and b first, then add c, ...
or, add b and c first, then add that result to a.
What is the area of this kite? A) 20 square meters
B) 36 square meters
C)40 square meters
D) 80 square meters
Answer:
D
Step-by-step explanation:
Answer:
C. 40 square meters
Step-by-step explanation:
The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.
A = pq/2 {Substitutions made}
A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}
A = 80/2 {Divide 80 by 2 to get 40.}
A = 40 square meters
The area of this kite of 40 square meters, which is C.
Five minutes is what percent of
an hour?
0.083 In decimal 8.3% in percentage
Help! This is due today and I'm stuck on the last problem.
Brainiest for best answer.
NO LINKS! If you put a link, I will report you.
Find the area of the shaded region rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Square
519450.2
Holes
Semi-circle: 1/2*pi*r^2
diameter = 700/2 = 350 =radius
1/2*pi*350 = 175*pi
Triangle
1/2 b*h
1/2 200*400
100*400
40000
Take out the semi circle and triangle
560000-40000-175*pi
520000-175*pi = 519450.2
2 in.
2 in.
2 in.
Fine the area
someone help me with this I would really appreciate it !
Answer:
V = 126 [tex]mi^{3}[/tex]
Step-by-step explanation:
Volume of a pyramid is V = [tex]\frac{lwh}{3}[/tex]
l = length
w = width
h = height
width is 6 mi
length is 7 mi
height is 9 mi
V = [tex]\frac{6*7*9}{3}[/tex]
V = 126 [tex]mi^{3}[/tex]
It takes Lauren 13 minutes to walk 1 mile. How many miles can
Lauren walk in 52 minutes?
Answer:
4
Step-by-step explanation:
if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answer:
$.27
Step-by-step explanation:
.105/7*18
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number
Answer:
Real number
Rational number
Step-by-step explanation:
x+y=1212
x-y=518
please help me with it
Here,
x+y=1212••••••[tex]\bold{equation~I }[/tex] x-y=518••••••[tex]\bold{equation~II }[/tex]ADDITIONALL,both two equation.
we get that,
x+y+x-y=1212+5182x=1730x=865so,
x-y=518865-y=518y=860-518y=347Pls help with thissss
if 2f(x)-3f(1/x)=x^2 determine f(2)
log x + log (x-3) = 1
Given:
The logarithmic equation is:
[tex]\log x+\log (x-3)=1[/tex]
To find:
The value of x.
Solution:
Properties of logarithm used:
[tex]\log a+\log b=\log (ab)[/tex]
[tex]\log 10=1[/tex]
[tex]\log x[/tex] is defined for [tex]x>0[/tex].
We have,
[tex]\log x+\log (x-3)=1[/tex]
Using properties of logarithm, we get
[tex]\log [x(x-3)]=\log 10[/tex]
[tex]x^2-3x=10[/tex]
Splitting the middle term, we get
[tex]x^2-5x+2x-10=0[/tex]
[tex]x(x-5)+2(x-5)=0[/tex]
[tex](x-5)(x+2)=0[/tex]
[tex]x=5,-2[/tex]
In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:
[tex]x=5[/tex]
Therefore, the value of x is 5.
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
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Find the surface area of the composite solid. 6 ft 4 ft 1 5 ft 5 ft
Sa Of Rectangular Prism - 65
Sa Of Pyramid - 85
TOTAL SURFACE AREA - 150
In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
1843:6754.9709254546.,657675
Step-by-step explanation:
The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔRST
Now , the measure of s = 620 cm
The measure of side r = 210 cm
And , the measure of angle m∠R = 17°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin ( 17 )° / 210 = sin ( S ) / 620
Multiply by 620 on both sides , we get
sin ( S ) = ( 620 / 210 ) x 0.2923717
On further simplification , we get
sin S = 0.86319265203
Taking inverse on both sides , we get
S = sin⁻¹ ( 0.86319265203 )
S = 59.68°
S = 59.7°
Therefore , the value of S is 59.7°
Hence , the measure of angle m∠S = 59.7°
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