Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.
Step-by-step explanation:
1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)
Answer:
A
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 2x² - 4x + 5 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3
vertex = (1, 3 ) → A
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
How to tell the degree of a polynomial graph.
Answer:
The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.
Josephine was charged $7.20 for a long distance call that lasted 1.5 hours. What was the cost per hour for her long distance call?
Based on the information given, the cost per hour for her long-distance call will be $4.80.
Amount that was charged for the call = $7.20
Number of hours used = 1.5 hours
The cost per hour for her long-distance call will be:
= Amount that was charged for the call / Number of hours used
= 7.20 / 1.5
= $4.80
In conclusion, the cost is $4.80.
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What is an equation of the line perpendicular to y=1/5x+2
That contains (15, -4)?
PLS HELP
Answer:
y+4=-5(x-15)
Step-by-step explanation:
Use point-slope form:
y-y1=m(x-x1)
m is the slope
x1 is the x coordinate of the point that the line contains
y1 is the y coordinate of the same point
We are already given the coordinates of the point (15, -4), so we just need m, the slope.
We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.
The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)
Now we know
m is -5
x1 is 15
y1 is -4,
so plug those into point-slope form: y-y1=m(x-x1)
y-(-4)=-5(x-15)
y+4=-5(x-15) is the answer
Las propiedades de las multiplicaciones nos llevaran a igualar distint
algebraicas para determinar su equivalentia,
1. En la figura 2.1 se muestran dos formas de descomponer el drea de
cuyos lados miden 35 u y 22 u. Completalos con las medidas que fa
a) Cual es el area total de los rectangular?
b) Calcula el area de las secciones que componentcada rectangula
c) Que relacion hay entre el area total de cada rectangular y las areas
nes que los component
35 u X 20 u
30 u x 20 u
Answer:
i think it would be c
Step-by-step explanation:
the product of 32.7 and 0.9 is?
Answer:
pruduct means multiply so 32.7x0.9=29.43
PLEASE HELP WITH STEPS 25 POINTS!!!!
Answer:
[tex]1.75+0.25log_{10}a[/tex]Step-by-step explanation:
Given:
[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]Simplify:
[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]log both sides:
[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]Which equation represents this statement?
5 times the sum of 7 and a number is 40.
5(n+7)=40
5 + 7n = 40
5⋅7+n=40
5n + 7 = 40
Answer:
5(n+7)=40
Step-by-step explanation:
It's 5(n+7)=40 because 5 + 7n = 40 and 5n + 7 = 40 is addition not multiplication, and 5⋅7+n=40 is saying 5 times seven plus a number is 40, therefore 5(n+7)=40 is the correct answer because the parenthesis in (n+7) seperates it from 5 so that you have to get the sum of (n+7) before you can multiply it by 5.
The required equation for the given case is 5(n + 7) = 40.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given word problem can be solved as follows,
Suppose the unknown number be n.
Then, 5 times the sum of the number and 7 can be written as an expression as,
5(n + 7)
Now, as per the question the following equation can be written,
5(n + 7) = 40
Hence, the equation for the given word problem is 5(n + 7) = 40.
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Simplfy the answer t-4t2/t2
Answer:
t - 16
Step-by-step explanation:
Hope this helps!! :))
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
75 ≥ 2s + 5l
75 = guests
2 is = amount of people per small table
5 is = amount of people per big table
How do you know if a situation represents
a proportional relationship?
I need help on these two PLEASE!!
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
Pls hurry Accurate Answer= Brainlist
Step-by-step explanation:
it would have to be practically the same equation.
because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).
the only one being exactly the same as the original equation is the fourth option
y = 2(x + 5)
because that is
y = 2x + 10
A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.
If the width of the pen is 25 feet, what is the set of possible lengths for the pen?
The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet
InequalityIn Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions
Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.
Assuming the pen is rectangular in shape;
A = L * W
L * 25 > 225
25L > 225
solving for L
L > 225/25
L > 9
The possible lengths for the pen are values greater than 9
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suppose that a flu virus spreads according to the
titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year
Step-by-step explanation:
x = how many games won last year
x - 1 = how many games won each year
Write an equation for a line with a slope of (-2) and the point (5,9)
Answer:
2x+y-19=0
Step-by-step explanation:
Slope = -2
The line passes through the points (5,9)
The equation of the line is
y-9 = -2(x-5) (Gradient and 1 point form)
y-9 = -2x+10
2x+y-19 = 0
What’s the answer to -4/4+160%+1/5=
Answer:
I think it is 1 4/159
Step-by-step explanation:
Write equation for the graph
Answer:
the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis
so now we have rule to use to find the equation
y/4+x/1=1
y/4=1-x
y=4-4x
and this is the equation
The points (5, -5) and (7,r) lie on a line with slope - 1. Find the missing coordinate r.
Answer:
r = -7
Step-by-step explanation:
Slope = Change in y/Change in x
-1 = r - (-5) / 7 - 5
-1 = r + 5/ 2
-2 = r + 5
r = -7
-Chetan K
Help please Ill give brainlest!
Answer:
1. A.
2. C.
Step-by-step explanation:
1. these angles are corresponding because if the line passes through parallel lines 1-6, 2-5,3-7,4-8 will all be corresponding angles
2.
Since 2 and 5 are corresponding angles they will have the same degree measures
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
please helpp and show your work pleasee
Answer:
[tex]b=27[/tex]
Step-by-step explanation:
[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]
Invisible Steps:
Add 7 on each side of the equation:
[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]
Multiple 3 on each side of the equation:
[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]
[tex]9[/tex] · [tex]3=27[/tex]
Which measure of center is most appropriate, and what
is the value of the measure of center?
You are a sports agent's assistant. You are preparing a
report on contracts you have obtained for the agent's
clients. You recently negotiated the following annual
contracts: $2.8 million, $18.9 million, $1.5 million, $1.2
million, $1.5 million, and $3.5 million per year. The
standard deviation of the data is 6.3, and the range is
17.7.
O median; $1.35 million
O mode; $1.5 million
O median; $2.15 million
O mean; $4.9 million
O mean; $5.58 million
Mark this and return
Save and Exit
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Submit
Answer:
Median;$1.35 million
Step-by-step explanation:
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
median; $1.35 million
mode; $1.5 million
median; $2.15 million
mean; $4.9 million
mean; $5.58 million
Answer: 1.35 is wrong.
Step-by-step explanation:
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
x-4-2=-11
i need help on this asap
Answer:
X = -5
Step-by-step explanation:
X-4-2=-11
X-6=-11
X=-11+6
X=-5
Hope it helped youuuuu
what is the difrence between domain and range
Answer:
Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.
Step-by-step explanation:
Andrea buys 3 pounds of Georgia pecans for
$10.35. What is the unit rate for the pecans?
Answer:
3.45 per pound of peacans
Step-by-step explanation:
we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$
The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?
1040 - 650 = 390
By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.
I hope this helps! :)
