Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
Function: A DefinitionA function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.
Here,
Given :
f(x) = 3x²-3x - 8
g(x) = -x - 7
To find : fog)(-8)= ?
Thus,
We find
=> F(g(x)) => 3g(x)² -3g(x) - 8
=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8
At x =-8
=> 3(-8-7)² - 3(-8-7)-8
=> 3(225)-3(15) -8
=> 675 - 45 -8
=> 622
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
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Please help me solve the question
Answer:
Distributive propertyHope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
D)
hope this helped
Step-by-step explanation:
Find the number of 15% of it is equal to nine
Answer:
15% of 60 is equal to 9
Step-by-step explanation:
If this helps please mark as brainliest
Write an equation for the parabola that passes through (-2,7), (1, 10), and (2,27)
An equation for the parabola is y=.
Answer: To find an equation for a parabola that passes through three specific points, we can use the method of algebraic manipulation.
Since the parabola is symmetric about the y-axis, the equation of the parabola will have the form y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.
Given three points (-2,7), (1, 10), and (2,27), we can use the vertex form of the equation and substitute the x, y values of the three points to find the values of a, h and k
y = a(x-h)^2 + k
Since it is passing through (-2,7), we can substitute the values of x and y in the equation and get
7 = a(-2 - h)^2 + k
It passing through (1, 10), we can substitute the values of x and y in the equation and get
10 = a(1 - h)^2 + k
It passing through (2,27), we can substitute the values of x and y in the equation and get
27 = a(2 - h)^2 + k
Now we have three equations with three variables, we can solve it using any of the techniques such as substitution, elimination or matrix. But the final equation will be in the form of y= a(x-h)^2 + k
Here, x= (-2, 1, 2) and y = (7, 10, 27) . Therefore it has a unique parabola passing through these points.
Step-by-step explanation:
What is the value of log2 log32?
the value of log2 log32 is 0.5899 and the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.
logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.J
The logarithmic equation that has the same solution as x-4=2^3 is log2(x-4)=3.
Logarithm
The logarithm of a number can be calculated from the following relationship:
Thus, the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.
So, we have that the third expression
Therefore, this expression is the one corresponding to x-4=2^3.
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HELP ASAP!!
Find the surface area of the figure. Round your answer to the nearest hundredth if necessary ^
Answer:
add all the sides together and if thats not it you learned something different from me:)
Answer: 384 yd
Step-by-step explanation: To find the surface area of a cube, simply calculate using this formula: [tex]SA=6a^2[/tex]. In this case, the [tex]a[/tex] is equal to 8 yards, input the number 8 into the formula.
[tex]SA=6(8)^2[/tex]
[tex]SA=384[/tex]
Hope this helped! ;)
Two numbers are in the ratio 7 : 4 . If their difference is 18, then find the numbers.
Answer:
x = 24
. So, first number = 7 * 24 = 168. and second number = 4 * 24 = 96. Therefore the numbers are 168 and 96.
Answer:
42 and 24
Step-by-step explanation:
The numbers in ratio 7 : 4 = 7x : 4x ( x is a multiplier ) , then
7x - 4x = 18 ( difference of 2 numbers is 18 )
3x = 18 ( divide both sides by 3 )
x = 6
Then
7x = 7 × 6 = 42
4x = 4 × 6 = 24
The numbers are 42 and 24
NEED THE ANSWER QUICK
NO LINKS, LINKERS WILL BE REPORTED
Answer:
20 i think i forgot but, hopefully u get it right
Step-by-step explanation:
Which additional statements are required to prove△ABC ~=△MNO using SAS postulate, if C~= O?
Step-by-step explanation:
To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.
Kyle and Steve start at the same point and walk in opposite directions. If Kyle walks at 2 mph and Steve walks at 2 mph, how far apart will they be after 3 hours?
Answer:
12 miles
Step-by-step explanation:
Kyle's speed = 2 mph
Steve's speed = 2 mph
Time traveled = 3 hours
Distance apart after 3 hours
Distance moved by Kyle + Distance moved by Steve
Distance = Speed * time
Distance moved by Kyle = 2 * 3 = 6 miles
Distance moved by Steve = 2 * 3 = 6 miles
Total distance apart = 6 + 6 = 12 miles
Megan was painting on a rectangular canvas, and needed a frame for it. The length of the frame is 15 inches and the width is 10 inches. What is the perimeter of the frame?
Answer:
50 inches
Step-by-step explanation:
Hi there!
[tex]P=2l+2w[/tex] where l is the length of the rectangle and w is the width of the rectangle
Plug in the length (15 inches) and width (10 inches)
[tex]P=2(15)+2(10)\\P=30+20\\P=50[/tex]
Therefore, the perimeter of the frame is 50 inches.
I hope this helps!
Repartos Equitativos: A:Repartir 21 chocolates en 5 niños (dividir) B:Repartir 10 chocolates en 3 niños (dividir)
Respuesta:
4 1/5 bombones
3 1/3 bombones
Explicación paso a paso:
Distribuir 21 bombones entre 5 niños;
21/5 = 4 resto 1
Por lo tanto, se le da 4 chocolates a cada niño y el 1 chocolate restante se divide en 5 partes iguales y se le da 1/5 a cada niño. Por lo tanto, cada niño recibe 4 1/5 chocolates.
Distribuir 10 bombones entre 3 niños;
10/3 = 3 resto 1
Por lo tanto, se le da 3 chocolates a cada niño y el 1 chocolate restante se divide en 3 partes iguales y se le da 1/3 a cada niño. Por lo tanto, cada niño recibe 3 1/3 chocolates.
What is the distance between the points
(-9,4) and
(3, -12)?
Answer:
20
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php
11. Manuel has two different recipes for chocolate chip
muffins. The table shows the amount of chocolate chips
needed per batch for each recipe. He has 10 cups of
chocolate chips. The equation 2b = 10 can be used to
find b, the number of batches of muffins he can make if
he uses Recipe 1. Can Manuel make 3, 4, or 5 batches if
he uses Recipe 1?
n
JID
Recipe Chocolate Chips (cups)
1
2
2
1
Answer:
Manuel can make 5 batches of muffins using Recipe 1
Step-by-step explanation:
You want to know the value of b in the equation 2b = 10, where b is the number of batches of muffins Manuel can make using recipe 1.
SolutionDivide both sides of the given equation by 2 so solve for the value of b.
(2b)/2 = (10)/2
b = 5
Manuel can make 5 batches of muffins using Recipe 1.
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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
vertex form: y = (x + 1)² - 3 the vertex is minimum coordinates of the vertex: (-1, -3)Step-by-step explanation:
[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]
a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 1)² - 3 the vertex is: (-1, -3)
Janet decreased her daily carbohydrate intake from 80 grams to 50 grams. By what percent did Janet decrease the amount of carbohydrates she eats?
Answer:
12
Step-by-step explanation: i think
15) 3x2 - x - 10 When this trinomial is factored completely, one of its factors is A) x 2 B) x - 5 C) 3x 5 D) 3x - 2
When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Solving the given trinomial 3x² - x - 10.
=>3x² - 6x+5x - 10
=>3x(x-2)+5(x-2)
=>(3x+5)(x-2)
The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.
Thus, When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Complete question: 3x² - x - 10
When this trinomial is factored completely, one of its factors is
A) x + 2
B) x - 5
C) 3x + 5
D) 3x - 2
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Elizabeth has a loyalty card good for a 10% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $37. 60? Round to the nearest cent
The total amount for Elizabeth's purchase after 10 percent discount on her total bill is 33 dollars and 84 cents which is equivalent to 34 dollars.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Elizabeth bought the grocery for a total of 37 dollars and 60 cents.
She has a coupon of 10% discount.
Which means, she can get 10% discount on her total bill.
The amount of her total bill is $37.60.
So, calculate using percentage, the value of 10% of $37.60.
=(10 × 37.60/100)
= 376/100
= 3.76
So, Elizabeth would get a discount of $3.76 on her total bill -
= 37.60 - 3.76
= 33.84
Therefore, after the discount Elizabeth's total bill is $33.84 ≈ $34.
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PLEASE HELP ASAP I’LL MARK YOUR ANSWER BRAINLIEST!!!
Answer:
a = 1.5
VW = 9 ft
Step-by-step explanation:
Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:
a + 4 = a² + 0.25 Set equal
a² - a = 3.75 Isolate a values
a² - a + 0.25 = 3.75 + 0.25 Complete the square
(a + 0.5)² = 4 Factor
a + 0.5 = 2 Simplify
a = 1.5
Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:
((1.5) + 7.5) ft
9 ft
How do you solve this equation on surds?
If an object is propelled upward from ground level with an initial velocity of 80. 1 feet per second? It’s height h in feet t seconds later is giving by the equation h= -16ft+ 80. 1t after how many seconds does the object hit the ground
The object will hit the ground after 5.01 seconds.
When an object is propelled upward from ground level with an initial velocity of 80.1 feet per second then its height h in feet t seconds later is giving by the equation,
h= -16t^2+ (80.1)t
When the object hit the ground, the height of the object h would be zero.
To find: time (t) when h = 0
Substitute h = 0 in given equation.
h = -16t^2+ (80.1)t
0 = -16t^2+ (80.1)t
16t^2 - (80.1)t = 0
t (16t - 80.1) = 0
t = 0 or 16t - 80.1 = 0
t = 0 OR t = (80.1)/16
t = 0 OR t = 5.01
Therefore, it will hit the ground after 5.01 seconds.
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45. Sliding Down a Hill
Ojemba is sitting on a sled on the side of
a hill inclined at 60°. The combined weight of Ojemba and the
sled is 160 pounds. What is the magnitude of the force required
for Mandisa to keep the sled from sliding down the hill?
If Ojemba is sitting on a sled on the side of a hill inclined at 60° and weight of Ojemba and sled is 160 pounds , then magnitude of force needed for Mandisa to keep sled from sliding down the hill is 355.59 N .
the inclination angle of the the side of the hill is = 60° ;
the compound mass of Ojemba and Sled is = 160 pounds ,
On conversion we get the mass in Kg is = 72.57 Kg .
the acceleration due to gravity is , [tex]g = 9.8 m/s^{2}[/tex] ;
The force required for Mandisa to keep sled from sliding down the hill can be calculated by the formula ;
[tex]F = mgSin\theta[/tex] , Substituting the values ,
we get ;
[tex]F = 72.57\times 9.8\times Sin(30\textdegree)[/tex]
[tex]F = 72.57\times 9.8\times \frac{1}{2}[/tex] ;
So , [tex]F = 355.59 N[/tex] .
The required magnitude of the force is 355.59 N .
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ASAP
JUST THE ANSWER FR THIS TIME
Answer:
18
Step-by-step explanation:
You can use a calculator for this
60%*30=18
or, if you want to solve it by hand, 60% equals 0.6=6/10=3/5
(3/5)*30=90/5=18
Answer:
18
Step-by-step explanation:
have a nice day!!
The table shows the running speeds of 10 randomly selected lions
Step-by-step explanation:
speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data
The top speed of a lion is 48 miles per hour.
I need help with this
Answer:
27
Step-by-step explanation:
Area of Triangle x 2 = 3 * 3
The reason I did not divide it by 2 is because of how the other triangle is bound to have the same area. Just leave it as it is because later you're going to reach the same answer.
3 * 3 = 9
Rectangle Area = 6 * 3 = 18
18 + 9 = 27
Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equation can be
used to determine the length and the width of the rug?
A 21 - -W² - 4W
B. 21 = 42
C. 21 - W2 + 4w
D. 21 - W2 + 4
The equation to determine the length and the width of the rug is
21 = W² - 4W.
What is a rectangle ?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
A quadrilateral is a rectangle.
A rectangle's opposing sides are equal and parallel to one another.
Each vertex of a rectangle has a 90° internal angle.
360° is the total of all interior angles.
The diagonals cut each other in half.
The diagonals are all the same length.
The Pythagorean theorem may be used to determine the length of the diagonals.
A rectangle is also referred to as a parallelogram since its sides are parallel.
While all parallelograms are rectangles, not all rectangles are parallelograms.
The length of the rug is l ft
Then the width of the rug will be l-4 ft
So the are will be l*(l-4) = [tex]l\x^{2} - 4l[/tex]
We know area is 21
so the equation is 21 = [tex]l\x^{2} - 4l[/tex] (Option a)
And after solving the equation the lenght is7m and breadth is 3 m.
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2. Use the Pythagorean Theorem to find x. Show your work!
The value of x using Pythagorean theorem is 14.05 units
What is an equation?An equation shows how two or more numbers and variables are related to each other.
Pythagoras theorem shows the relationship between the sides of a right angled triangle. It is given by:
hypotenuse² = adjacent² + opposite²
In the diagram, using Pythagoras theorem:
22² = (x + 1)² + (x + 2)²
484 = x² + 2x + 1 + (x² + 4x + 4)
2x² + 6x + 5 = 484
2x² + 6x - 479 = 0
x = 14.05
The value of x is 14.05 units
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Simplify the below expression.
Answer:
x^-8.x^3
x^-8+3
x^-5
1/x^5
Step-by-step explanation:
i will give brainly :) NO LINKS
I'm thinking of 3 whole numbers. Use the clues to find the values of the three mystery numbers:
Clue #1 - The middle number is 3 times the smallest number
Clue #2 - The largest number is 6 more than the middle number
Clue #3 - The sum of my 3 numbers is 34
Answer:
HAH DUM
Step-by-step explanation:
Find the missing angle.
Answer:
x = 81
Step-by-step explanation:
180 (62 + 37) = x
81 = x
Hope this helps!
Answer:
81
Step-by-step explanation:
x + 37 + 62 = 180
x + 99 = 180
x = 180 - 99
x = 81
Suppose that g(x) = f(x) + 2. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 2 units down.
O B. The graph of g(x) is vertically stretched by a factor of 2.
C. The graph of g(x) is shifted 2 units to the right.
D. The graph of g(x) is shifted 2 units up.
Answer:
2 units up
Step-by-step explanation:
You have no stretch because no number in front and nothing is done to x do no movement to the sides