The quadratic function graphed is defined as follows:
f(x) = 3(x - 3)(x - 7).
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
The roots of the function are given as follows:
x = 3.x = 7.Hence the linear factors of the function are:
x - 3.x - 7.The function then is:
f(x) = a(x - 3)(x - 7)
When x = 8, y = 15, hence the leading coefficient a is obtained as follows:
5a = 15
a = 3.
Hence:
f(x) = 3(x - 3)(x - 7).
More can be learned about the Factor Theorem at brainly.com/question/24729294
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Help please, I will mark you as brainliest
Step-by-step explanation:
Im confused with the second one but it matched with the option.
Answer:
[tex]-9y^4x^4-11y^3x^4+7y^3[/tex] [tex]9x^3+33x^2-50[/tex]Step-by-step explanation:
1. Length = 3x^2 +6x-10
Width = 3x+5
Area = ?
Area = Length×Breadth
[tex]\left(3x+5\right)\left(3x^2+6x-10\right)\\\\\mathrm{Distribute\:parentheses}\\\\=3x\times\:3x^2+3x\times\:6x+3x\left(-10\right)+5\times\:3x^2+5\times\:6x+5\left(-10\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=3\times\:3x^2x+3\times\:6xx-3\times\:10x+5\times\:3x^2+5\times\:6x-5\times\:10\\\\Simplify\\\\=9x^3+33x^2-50[/tex]
2.
[tex]\left(y^3-7x^4y^4\right)+\left(-10x^4y^3+6y^3+4x^4y^4\right)-\left(x^4y^3+6x^4y^4\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=y^3-7x^4y^4-10x^4y^3+6y^3+4x^4y^4-\left(x^4y^3+6x^4y^4\right)\\\\=y^3-7y^4x^4-10y^3x^4+6y^3+4y^4x^4-\left(y^3x^4+6y^4x^4\right)\\\\=y^3-7x^4y^4-10x^4y^3+6y^3+4x^4y^4-x^4y^3-6x^4y^4\\\\Simplify\\\\=-9y^4x^4-11y^3x^4+7y^3 \\[/tex]
plz help I will mark brainlest!
Answer:
the first picture is 5.2 so b
The second picture is 2 and a half centimeters so also b
TRUST ME
Step-by-step explanation:
b. Find the sum of 24 and the difference between 4 and 2
Answer:
Sum of 24 and the difference between 4 and 2
=> 24 + (4-2)
=> 24 + 2
=> 26
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
26
Step-by-step explanation:
Step 1: Convert word to math
24 + (4 - 2)
Step 2: Evaluate
24 + 2
26
Find the diameter of a circle if the radius = 7 ft
Answer:
d = 14 ft
Step-by-step explanation:
diameter is 2 times r
d = 2r
Step 1: Define
r = 7ft
Step 2: Substitute and Evaluate
d = 2(7 ft)
d = 14 ft
If today were Tuesday, what day of the week would it be 100 days from now?
Answer: Thursday
Step-by-step explanation:
Answer: Thursday. I think it with be Thursday
Step-by-step explanation:
I looked at a calendar and counted down 100 days starting with Tuesday
I hope this helps.
Find the area and perimeter of the shaded figure
Answer:
Area - 6 unit^2 Perimeter - 10 units
Step-by-step explanation:
The shaded figure is 3 units long and 2 units high.
L = 3 W = 2
A = LW
A = 3 x 2 = 6 unit^2
Perimeter = 2L + 2W
P = 2(3) + 2(2)
P = 6 + 4 = 10 units
I need help finding the RS, ST and RT
Answer:
so your awnser would be
Step-by-step explanation:
Daddy
Answer:
RS = 38
ST = 22
RT = 60
Step-by-step explanation:
plz help me i will give you brain,y if it is correct
Use intercepts to graph the line described by the equation.
7y=5x+35
Solve the system of linear equations by elimination. x−y=1 −x+3y=3
Answer:
y=1
Step-by-step explanation:
x-y=1
-x+3y=3
x=1+y
-1+y+3y=3
4y=4
y=1
The length, L, of a rectangle is 4 times its width, W. The perimeter of the rectangle is greater than 60
cm. Which inequality expresses all the possible lengths of the rectangle in centimeters? (Hint: P =
21+2w)
Answer:
w> 6
Step-by-step explanation:
Let w= the width
Let 4w = length
So then your equation becomes
2(w) + 2(4w) >60
Distribute
2w+8w > 60
Combine like terms
10w > 60
Divide by 10
w > 6
Solve the triangle. Round to the tenths place.
Answer:
Step-by-step explanation:
=
−5=minus, 5, equals
+
6
+6plus, 6
-
15
-
15
-
10
-
10
-
5
-
5
5
5
10
10
15
15
0
0
PLZ HELP PLZZZZZZZZZ DONT GET IT WRONG
Answer:
I would also say a or b, they just seem correct I cant really explain it.
Solve for x and find the value of the unknown angle measures.
QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be explained in large part by the number of customers patronizing the stores. Monthly data regarding customer visits and costs for the preceding year for one of the stores have been entered into the regression analysis and the analysis is as follows: Average monthly customer-visits 1,462 Average monthly total costs $4,629 Regression Results Intercept $1,496 b coefficient $2.08 R2 0.86814In a regression equation expressed as y = a + bx, how is the letter b best described? (CMA adapted)
Answer:
b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patronizing the stores (i.e. x) increases by one.
Step-by-step explanation:
How is the letter b best described?
b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patronizing the stores (i.e. x) increases by one.
That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patronizing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.
To give an example, the regression equation in the question is expressed as:
y = a + bx ............................ (1)
Where;
y = the costs of the stores = ?
a = Intercept = $1,496
b = coefficient = $2.08
x = the number of customers patronizing the stores = ?
Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:
y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08
Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:
y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16
The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:
Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.
This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patronizing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.
What is the value of the function at x=−3?
y = 3
y=−3
y = 0
y = 4
Coordinate grid with the graph of a straight line passing through the points begin ordered pair 2 comma negative 2 end ordered pair and begin ordered pair negative 3 comma 4 enter ordered pair
Answer:
y= 4
Step-by-step explanation:
Which shows two expressions that are equivalent to (-7)(-15)(-5)
Which difference is about 10?
A. 55.7 − 55.6
B. 43.2 − 38.4
C. 60.9 − 48.7
D. 52.5 − 26.8
I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here
Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.
How to determine the corresponding output value for this function?In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.
When x = 1, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(1) = ln(1).
f(1) = 0.
When x = 2, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(2) = ln(2).
f(2) = 0.69314718
When x = 1, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(1) = log₂(1)
g(1) = 0.
When x = 2, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(2) = log₂(2)
g(2) = 1.
In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.
Read more on function here: brainly.com/question/10687170
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from 2003 to 2004 approximately how much increase in income occurred ?
Answer:
6,000,000
Step-by-step explanation:
Answer:
7,000,000
Step-by-step explanation:
What is the slope of the line that crosses through the points (1,3) and (4,6)?
Answer: The slope is 1
Step-by-step explanation:
We use the slope formula (y - y)/(x-x)
Values must be consistent, e.x if you choose y1 for first variable, you must choose x1 as the first variable too.
(6 - 3)/(4 - 1)
3/3 = 1
Round 6.14 to the nearest tenth
Answer:
6.1
Step-by-step explanation:
Because 4 is nowhere near 10 so the answer is 6.1
I need help with this I don’t get it.
Answer:
(Orange Drive distance)^2 = (85^2 -77^2)
(Orange Drive distance)^2 = 1,296
Orange Drive distance = sqr root (1,296) = 36 yards
Orange Drive + Peach Ave = 36 + 77 = 113 yards
113 - 85 = 28 yards
The (Orange Drive distance + Peach Ave distance) is 28 yards longer than the Cherry Street distance.
Step-by-step explanation:
2(n - 3) < - 13 + 2n
Answer:
yjth
Step-by-step explanation:
Answer:
7/4 = n
1.75 = n
Explination:
2(n - 3) < -13 + 2n
distributive property
2n - 6 < -13 + 2n
inverse operations
2n - 6 < -13 + 2n
+2n +2n
left side would cancel out/right side would add 2n
-6 < -13 + 4n
add 13 on both sides
-6 < -13 + 4n
+13 +13
-13 and 13 cancel each other out/ -6 + 13 = 7
7 < 4n
divide by 4
7 < 4n
--- ---
4 4
4/4 = 0, so it is n by itself. 7/4 = 1.75
solve for x. Assume that lines which appear to be diameters are actually diameters
Answer: number 7. 7
Step-by-step explanation:
Simplifying
7X + 1 + -5X = 15
Reorder the terms:
1 + 7X + -5X = 15
Combine like terms: 7X + -5X = 2X
1 + 2X = 15
Solving
1 + 2X = 15
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2X = 15 + -1
Combine like terms: 1 + -1 = 0
0 + 2X = 15 + -1
2X = 15 + -1
Combine like terms: 15 + -1 = 14
2X = 14
Divide each side by '2'.
X = 7
Simplifying
X = 7
can you help me plssss
Solve for x. *
52°
(6x + 2)°
Answer:
x=21
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x+2+52 = 180
6x+54= 180
Subtract 54 from each side
6x+54-54 = 180-54
6x= 126
Divide by 6
6x/6 =126/6
x = 21
Answer:
21
Step-by-step explanation:
Max practices the piano and the guitar for a total of 150 minutes every day. He practices the guitar for 80 minutes longer than he practices the piano Part A: Write a pair of linear equations to show the relationship between the number of minutes Max practices the guitar () and the number of minutes he practices the piano (y) every day. (5 points) Part B: How much time does Max spend practicing the plano every day? Show your work. (3 points) Part C: Is it possible for Max to have spent 125 minutes practicing the guitar if he practices for a total of exactly 150 minutes and practices the guitar for 30 minutes longer than he practices the piano? Explain your reasoning (2 points) Ω 22 23 Source гс BI V S X. IX E Styles Normal - ? Part A: xy = 150 x = x + 80 Then use Substitution X + (x + 80) = 150 2x + 80 = 150 2x = 70 * = 35 Which equals 35 minutes of Max practicing the guitar 09 Question 1 (Angwered) Teous Question
Answer:
Award Brainliest to this answer :)
Step-by-step explanation:
1 / p + g = 150
g - 80 = p => p - g = - 80
2 / Adding the equations eliminates g and gives 2p = 70, p = 35
Back substituting to the 1st Equation; 35 + g = 150 => g = 115
3 / No, not if the stated conditions remain.
What fraction is equivalent to 6/25
Answer:
0.24
Step-by-step explanation:
if you divide 6 by 25 it would be 0.24