[tex](5x^2+1)(2x+3)-2x(5x^2-3)[/tex] when expanded and simplified gives[tex]15x^2 + 8x + 3[/tex]
What is Expanding?Expanding is the opening the brackets ( ) or { } for arithmetic operations and simplifying the expression.
How to determine this
[tex](5x^2+1)(2x+3)-2x(5x^2-3)[/tex]
Open of bracket
[tex]10x^3 + 15x^2 + 2x + 3 - (10x^3 - 6x)[/tex]
[tex]10x^3 + 15x^2 +2x + 3 - 10x^3 + 6x[/tex]
Collect like terms
[tex]10x^3 - 10x^3 + 15x^2 + 2x +6x + 3[/tex]
=[tex]15x^2 + 8x + 3[/tex]
It can not be further simplified
Therefore, When simplified = [tex]15x^2 + 8x + 3[/tex]
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Cost of a New Car From 1970 to 1990, the average cost of a new car, C
(in dollars), can be approximated by the model C = 30.512 + 4192, where
t is the number of years since 1970. During which year was the average
cost of a new car $12,000?
Answer:
In year 1986 the average cost of car is $12,000
Step-by-step explanation:
Cost function:
C = 30.5t² + 4192
Cost = $12,000
Find:
Year
Computation:
C = 30.5t² + 4192
12,000 = 30.5t² + 4192
t = 16 year
So,
Year 1970 + 16 year
1986
So, In year 1986 the average cost of car is $12,000
please help me for this
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
If you are in calculus, then you would apply the derivative to get
h(x) = x^2 - 2x + 3
h ' (x) = 2x - 2
The gradient, or slope of the tangent line, is negative when the derivative is negative.
So we need to solve h ' (x) < 0.
h ' (x) < 0
2x-2 < 0
2x < 2
x < 2/2
x < 1
Any x value smaller than x = 1 will lead to a negative gradient.
-----------------------------------
If you are not in calculus, then you can determine the vertex of the function
Note that y = x^2 - 2x + 3 is in the form y = ax^2 + bx + c with
a = 1
b = -2
c = 3
The x coordinate of the vertex is
h = -b/(2a)
h = -(-2)/(2*1)
h = 1
The x coordinate of the vertex is x = 1. Anything to the left of this will represent a negative gradient. This is because the given parabola opens upward (note how a = 1 is positive).
The graph goes downhill on the interval [tex]-\infty < x < 1[/tex] and it goes uphill on the interval [tex]1 < x < \infty[/tex] as shown below.
The equation of a curve is y = a^x
Q is the point where the curve intersects the y-axis.
Write the coordinates of Q.
Answer:
Q(0, 1 )
Step-by-step explanation:
To find where the curve crosses the y- axis let x = 0 in the equation and evaluate for y, that is
x = 0 → y = [tex]a^{0}[/tex] = 1 , thus
Q(0, 1 )
If the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to find coordinates?We have been given an equation y=[tex]a^{x}[/tex]and we have to find the coordinates of point Q which is the point where the line touches y axis. When a line touches the y axis, it's x coordinate will be zero. So in order to find the y coordinate we have to just put x=0 in the given equation.
y=[tex]a^{x}[/tex]
y=[tex]a^{0}[/tex]
y=1 (We know that something of power 0 is equal to 1)
Hence if the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).
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Which table represents a linear function? A two-column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 1, 2, 4, 8. A two-column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 0, 1, 3, 6. A two-column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 0, 1, 0, 1. A two-column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 1, 3, 5, 7.
Answer:
answer is d
Step-by-step explanation:
just did it
Answer:
its D
Step-by-step explanation:
Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)},
find the domain and determine whether or not it is a function.
Answer:
The domain of relation is {1,3,5}
It is not a function.
Step-by-step explanation:
Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)}
We need to find the domain and determine if the given relation is function or not.
The domain of relation is {1,3,5}
But the given relation is not function because we have x=1 twice in the relation and the for the relation to be function the values of domain can't be repeated.
So, It is not a function.
Which is the steepest and why?
a) slope=5/3
b) slope= -3/2
c) slope= 0
Answer:
A is the steepest Because
A = 1.66666666667
B=-1.5
C= is just 0
Step-by-step explanation:
click photo
needing help ASAP! Please
Answer:
[tex]\huge\boxed{y=6x+9}[/tex]
Step-by-step explanation:
In order to put this equation into slope-intercept form, we want to get this into the form [tex]y=mx+b[/tex], where m is the slope (coefficient) and b is the y-intercept.
We already have the equation [tex]y-6x=9[/tex]. Looking at this equation, we can see that we have to get 6x off the left side of the equation and on to the right.
To do this, we can add 6x to both sides. However, if we add 6x to one side we must add it to the other.
So, let’s add 6x to both sides.
[tex]y -6x + 6x = 9 + 6x[/tex]
[tex]y = 9 + 6x[/tex]
We can now rearrange the terms.
[tex]y = 6x+9[/tex]
Hope this helped!
Shipping Company A charges $14 plus $2.25 a pound to ship overnight packages. Shipping Company B charges $20 plus $1.50 a pound to
ship an overnight package. For what weight is the charge the same for the two companies?
Let p represent the number of pounds. Select the correct values to write an equation to represent the situation
Answer:
8 pounds
Step-by-step explanation:
Shipping Company A = 14 + 2.25p
Shipping Company B = 20 + 1.50p
Where,
p = the number of pounds.
For what weight is the charge the same for the two companies
Equate the charges of the two companies
14 + 2.25p = 20 + 1.50p
14 - 20 = 1.50p - 2.25p
-6 = -0.75p
Divide both sides by -0.75
p = -6 / -0.75
= 8
p = 8 pounds
Wesley earned $72 walking dogs for 6 hours. How many total hours will it take Wesley to earn $96 in all? Solve using unit rates.
Hours?
En una fiesta hay 40 asistentes de los cuales el número de varones que no bailan es el doble que el número de las mujeres que no bailan en un determinado momento. Si en ese instante se escoge un varón al azar, ¿cuál es la probabilidad que no este bailando si 5 mujeres están bailando?
Answer:
50%
Step-by-step explanation:
Para resolver este problema vamos a definir 4 variables:
V= número de varones bailando.
M= número de mujeres bailando.
V' = número de varones que no están bailando.
M' = número de mujeres que no están bailando.
Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:
V+M+V'+M'=40
Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)
Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:
5+5+V'+M'=40
y simplificamos:
10+V'+M'=40
V'+M'=40-10
V'+M'=30
Ahora bien, el problem nos dice que el número de varones que no bailan es el doble del número de mujeres que no bailan en un determinado momento. Entonces con esta información podemos construir la siguiente ecuación:
V'=2M'
Y podemos despejar el número de mujeres que no bailan, lo que nos da:
[tex]M'=\frac{V'}{2}[/tex]
Entonces podemos sustituir esto dentro de nuestra ecuación para obtener:
[tex]\frac{V'}{2}+V'=30[/tex]
y podemos entonces despejar V'
[tex]\frac{3V'}{2}=30[/tex]
[tex]V'=\frac{2(30)}{3}[/tex]
V'=20
Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:
[tex]P=\frac{V'}{total}[/tex]
[tex]P=\frac{20}{40}=\frac{1}{2}[/tex]
P=50%
simplify 8(x+3)^2/2(x+3)
8(x+3)^2/2(x+3)
[8(x + 3)(x + 3)]/2(x + 3)
8 ÷ 2 = 4
(x + 3)(x + 3) ÷ (x + 3) = (x + 3). In other words, we cancel one of the numerator factors.
Answer: 4(x + 3).
The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3).
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.
In other meaning, expression is beneficial to determine the end or root value of constraint.
As per the given expression,
[8(x+3)²]/[2(x+3)]
⇒ 8/2 × (x+3)²/(x+3)
⇒ 4(x+3)
Hence "The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3)".
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Plzz plzzz explain this!!!!
Answer:
hope it helps...
Step-by-step explanation:
please comment me if it is really helpful ..
What expression is equivalent to 5(n+5)
Answer:
10n
Step-by-step explanation:
1.6 is 8% of what???
Answer:
It would be 20!
Step-by-step explanation:
Answer:
1.6 is 8% of 20
Step-by-step explanation:
I really need help ASAP!
The sum of 8 times a number and 15 is 7 find that number
Answer:
8x+15=7 8x=-8 x =-1
Step-by-step explanation:
If AB is rotated 180 degrees clockwise about a point not on the line AB then which of the following statements about its image, A B' ', is true?
(1) AB and A'B' have the same lengths and are perpendicular
(2) AB and A B' ' have different lengths and are perpendicular
(3) AB and A B' ' have the same length and are parallel
(4) AB and A B' ' have different lengths and are parallel
Answer:
I think the answer is 3
Step-by-step explanation:
How to do this question plz answer
Answer:
about $2442.42
Step-by-step explanation:
1985 - 1980 = 5 years
B = Initial Value
r = rate of change
t = time
A = B(1 + r)^t
2245(1 + 0.017)^5 = 2442.42428756
2442.42428756 = 2442.42
A geometric sequence has u4= -70 and u7=8.75
Find the second term of the sequence.
Answer:
-122.5
Step-by-step explanation:
Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75
1 term → 78.75/3 = 26.25
therefore, u2 = - 70 - 2(26.25) = -122.5
Topic: Patterns + Common difference
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
whats 80000000000000x200000004500
Answer:
80000000000000x200000004500 =
1.6e+25 which is essentially 1.6 with 25 0's after it
Step-by-step explanation:
May I have brainliest please? I'm trying to get 15 and I'm so close :)
Hi. I need help with these questions.
See image for question.
Please answer no 10 and 11
9514 1404 393
Answer:
10. (x, y) = (-3/8, 2 9/16)
11. k = -1
Step-by-step explanation:
10. The value of x at the vertex is ...
x = -b/(2a)
x = -(-3)/(2(-4)) = -3/8
The corresponding value of y is ...
y = 2 +(-3/8)(-3 +(-3/8)(-4)) = 2 +(-3/8)(-3/2) = 2 +(9/16)
The vertex is (x, y) = (-3/8, 2 9/16).
__
11. The discriminant is zero when the roots are equal.
b² -4ac = 0
(k-1)² -4(1)(-k) = 0
k² -2k +1 +4k = 0
k² +2k +1 = 0 . . . . . collect terms
(k +1)² = 0 . . . . . . . . write as a square
k = -1 . . . . . . . . . . . . the value of k that satisfies
Check
x² -2x +1 = (x -1)² = 0 . . . . has equal roots: x=1.
A restaurant needs to set up 7 tables for the 34 member
of a high school science club. The restaurant has tables
that can seat 4 and tables that can seat 6. This system c
equations represents the combination of x, the number of
tables for 4, and y, the number of tables for 6, that will
exactly 34 people.
x + y = 7
4x + 6y = 34
How many tables that seat 6 should be set up?
Answer: 3 tables of six should be set up
Step-by-step explanation: 3 x 6 equals 18 and 4 x 4 equals 16 so you add those up and it equals 34 and with all seven tables
Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m
Answer:
D
Step-by-step explanation:
[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]
[tex]c = \sqrt{36 + 64} [/tex]
[tex]c = \sqrt{100 } [/tex]
[tex]c = 10[/tex]
Pythagorean theorem
Which test point holds true for y-2xs 1?
O A.
(0, 2)
O B.
(-2, 4)
O C.
(1,4)
OD.
(5, 0)
Answer:
its d
Step-by-step explanation:
have a nice day
What’s the answer to this pls! Only if you know :)))
Answer:
e
Step-by-step explanation:
because 2 sides are given........and any of 1 side or angle is missing...
hope it is helpful for you ❤️
please thanks my answer
i am indian
f(x)= 4x-5 what is f(100)?
Answer:
26.25 = x
Step-by-step explanation:
f ( x ) = 4x - 5
f ( x ) = Y-value
x = x - value
If f ( 100 ) = The Y is 100
100 = 4x - 5
+5 = +5 Add 5 on both sides. The 5's will cancel on the right
-------------------
105 = 4x Divide by 4 on both sides. The 4's will cancel on the right
----- = ----
4 = 4
26.25 = x
Hope this helps!!
Which of the following inequalities is not true?
|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0
Answer:
Sorry i don't know the answer but which class question is this
A blender was originally sold for $90 and has been marked
down to $79.20. What is the percentage of discount for the
blender?
Answer:
88%
Step-by-step explanation:
From the question given above, the following data were obtained:
Original amount = $ 90
Discounted amount = $ 79.20
Percentage of discount =?
Let the percentage of discount be y %
Thus, we can obtain the value of y as follow:
y /100 × 90 = 79.20
90y /100 = 79.20
Cross multiply
90y = 100 × 79.20
90y = 7920
Divide both side by 90
y = 7920/90
y = 88
Thus, the percentage discount of the blender is 88%
Answer:
12
Step-by-step explanation:
12
THE FIRST PERSON TO ANSWER MY QUESTION GETS BRAINLEST!!!!!!!ASAP!!!!!
A city councilman created a scale model of the city hall. The councilman used the scale 1 inch: 8 feet to create the scale model of city hall. The actual hall is 56 feet long.
What is the length of the scale model of city hall?
Enter your answer in the box.
Answer:
7 inches
Step-by-step explanation:
56 divide by 8
Hope this helps.
Determine the slope given the two points:
(4, 9) and (1,6)
Answer:
slope is 1
Step-by-step explanation: