Answer:
f(x) = x^2 + 11x + 18.
Step-by-step explanation:
As the zeroes are -2 and -9 the factored form is
f(x) = a(x - (-2))(x - (-9)) where a is some constant.
As we want any quadratic function with theses zeros we can let a = 1 so:
f(x) = (x + 2)(x + 9)
f(x) = x^2 + 2x + 9x + 18
f(x) = x^2 + 11x + 18.
The required quadratic function is given as x²+11x+18 = 0,
Given that,
To write a quadratic function f whose zeros are -2 and -9
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
x = -2 and x = -9
x 2 = 0 and x + 9 = 0
The function is given as,
(x + 2)(x + 9) = 0
x²+11x+18 = 0,
Thus, the required quadratic function is given as x²+11x+18 = 0,
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Decrease 220kg by 12.5%.
NEED HELPPP!
Answer:
192.5 kg
Step-by-step explanation:
220-12.5%=220*(100-12.5)/100=220*0.875= 192.5 kg
Which of the following best describes the type of probability used in the
scenario below?
A bag has 10 red marbles, 7 blue marbles, and 12 yellow marbles. The probability of drawing a yellow at random is 12/29.
A. Random
B. Empirical
C. Unpredictable
D. Theoretical
Answer:
D. Theoretical
Step-by-step explanation:
The probability is based on the number of marbles in the bag. It is the theoretical probability. It is the likelihood that a yellow marble will be picked
Which process will create a figure that is congruent to the figure shown?
Answer:
see below
Step-by-step explanation:
Any process that involves dilation or scaling will NOT result in a congruent figure. Only the rigid transformations of translation, reflection, or rotation can be used to obtain a congruent figure.
The choice shown below is the one you seek.
What is the area of this figure?
A. 3 ft2
B. 4 ft2
C. 9 ft2
D. 13 ft2
Answer:
D
Step-by-step explanation:
Split the shape into 2 figures.
I would split it so that there is a square and a larger rectangle.
Find the dimensions.
Square = 1 x 1
Rectangle= 4 x 3
Add the areas!
1+12
13!
Answer:
A^figure = 13ft
Step-by-step explanation:
A^figure = A^square + A^rectangle
A^figure = bh + bh
A^figure = 1 x 1 + 4 x 3
A^figure = 1 + 12
A^figure = 13ft
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions, as shown in the diagram below. They both have the same area. Find the numerical value of the perimeter of the isosceles triangle. show full calculations please
Answer:
Perimeter of Isosceles Triangle = 16 units
Step-by-step explanation:
Area of rectangle is given by the formula;
Area = 1/2 × base × height
From the diagram, base = 6x - 6 and height = 6x - 8
Thus,Area = 1/2 × (6x - 6) × (6x - 8)
Area = (3x - 3)(6x - 8) = 18x² - 42x + 24
Secondly, area of rectangle is given by;
Area = length x breadth
So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18
We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;
18x² - 42x + 24 = 18x² - 39x + 18
18x² will cancel out and rearranging, we have;
24 - 18 = 42x - 39x
6 = 3x
x = 6/3
x = 2
Plugging 2 for x for the height and base of the triangle, we have;
base = 6(2) - 6 and height = 6(2) - 8
Base = 6 and height = 4
So,let's find the slant height of the isosceles triangle.
Dividing the base by 2,we have; 6/2 = 3
So,using Pythagoras theorem, let the slant height be h, so we have;
h² = 3² + 4²
h² = 9 + 16
h² = 25
h = √25
h = 5
2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units
write an expression to represent the following situation:10 dollars less then caitlin
I need help...........
Answer: a
Step-by-step explanation:
The lineab bisects bi equally
Brainliest question 100 PTS: please please help me now plz and plz give the right answer
Answer:
inside the circle
Step-by-step explanation:
The radius is sqrt(38)
The distance from the center to the point is
d = sqrt( ( y2-y1) ^2 + ( x2 -x1) ^2)
= sqrt( ( 1 - 0)^2 + ( 6 - 0 ) ^2)
= sqrt( (1^2 + 6^2)
= sqrt( 1+36)
= sqrt(37)
This is less than the radius so the point is inside the circle
Answer: its number A
Step-by-step explanation:
the last question is confusing me ive done a and b put all my points in please help im confused 5 star rating and a thanks will also be included
Answer:
Step-by-step explanation:
a) negative correlation
b) diagram c
c) diagram b because its erm no correlation its scattered
PUT ME AS THE BRAINIEST
Describe each polynomial expression:
use example form ^^
Answer:
1) It is a qiadratic binomial which has 3 as coefficient on the quadratic term and 2 as the coefficient on the linear term
2) It is a quadratic trinomial which has 2 as coefficient in the quadratic term , -5 as the coefficient in the linear term & 3 as the coefficient of the constant term
3) It is a linear polynomial with no constant term and is a monomial ....it has 6 as coefficient in the linear term
Which of the following functions has a graph in which the vertex and axis of symmetry are to the left of the vertex and axis of symmetry of the graph of f(x) = (x – 1)2 + 1? Select all that apply.
A. g(x) = 2(x − 1)2 − 1
B. g(x) = −(x + 1)2 − 2
C. g(x) = 2(x − 1)2 + 2
D. g(x) = −(x − 2)2 + 1
E. g(x) = −(x + 2)2 + 2
F. g(x) = 2(x + 1)2 + 2
Answer:
B, E and F.
Step-by-step explanation:
The transformation f(x) ------> f(x + a) moves f(x) a units to the left.
So when there is an increase in the number added to x in the parentheses the graph moves to the left.
So B is one because of the (x - 1)2 ---> (x + 1)2
The others are E and F.
The functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,
[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift-Let the parent function is [tex]f(x)[/tex]. Thus, by replacing parent function with [tex]f(x-b)[/tex] Shifts the graph b units right, and by replacing parent function with [tex]f(x+b)[/tex] shifts the graph b units left.Vertical shift-Let the parent function is [tex]f(x)[/tex]. Thus, by replacing parent function with [tex]f(x)+c[/tex] shifts the graph c units down and by replacing parent function with [tex]f(x)-c[/tex] Shifts the graph b units up.The function of the graph is,
[tex]f(x) = (x -1)^2 + 1[/tex]
The function to be left of the vertex of the above function, b units must be added in the parent function such that,
[tex]f(x+b)[/tex].
The option B, E and F looks like this function.
Thus, the functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,
[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]
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The width of rectangle is 7 less than twice the length. If the perimeter of the rectangle is 43.6 inches, what is the area of the rectangle?
Answer:
29.49 square inches
Step-by-step explanation:
Let the length of the rectangle be x inches
Therefore, width = (2x - 7) inches
Perimeter of rectangle =2( length + width)
therefore,
43.6 = 2 ( x + 2x - 7)
43.6/2 = 2 ( 3x - 7)
21.8 = 6x - 14
21.8 + 14 = 6x
6x = 35.8
x = 35.8/6
x = 5.97 inches
Length = 5.97 inches
width = 2*5.97-7 =11.94 - 7 = 4. 94 inches
Area of rectangle
= Length * width
= 5.97*4.94
=29.4918
= 29.49 square inches
Help on both questions please? Thank you!!!!
Answer:
1. 16
2. $21.27
Step-by-step explanation:
To get the tip money, ypu multiply 18.5 to 0.15 to get 2.775. We round it to 2.77. Add this to 18.5 to get $21.27 as the answer
What is the y-intercept of the line 3x2y=-18
Se pretende tapizar una pared rectangular de 4 m por 5 m, si el centímetro cuadrado de papel tapiz cuesta 0.28 dólares. Calcule el valor a pagar
Answer:
5600 dollars
Step-by-step explanation:
The first thing we must do is calculate the area of the rectangle since the value is given per unit area.
They give it per square centimeter, therefore we must pass the measurements from meters to centimeters, knowing that 1 meter is 100 centimeters:
4m * 100cm / 1m = 400cm
5m * 100cm / 1m = 500cm
Now the area would be:
A = 400 * 500 = 20000
20000 cm ^ 2 would be the area of the rectangular wall, we calculate the value like this:
20000 * 0.28 = 5600
In other words, it has a value of 5600 dollars.
Aly has 59 toy cars and 17 toy trucks. Which equation can help Aly find
how many more toy cars than trucks she has?
17 = 59
59 + 17 = 0
59 - 17 = 0
0 + 59 = 17
Done
The equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks. which is the correct answer would be an option (C).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Aly has 59 toy cars and 17 toy trucks.
To determine the equation can help Aly calculate number of more toy cars than trucks she has
We have to subtract 17 from both sides and add 0
0 + 59 = 17
0 + 59 - 17 = 42
Therefore, the equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks.
Hence, the correct answer would be option (C).
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Place the digits 1 through 9 in the nine
squares to form a correct addition. Can
this be done in more than one way?
Answer:
There lots of possible ways: here are some answers
219 + 348 = 567
218 + 349 = 567
129 + 357 = 486
127 + 359 = 486
271 + 593 =864
128 + 367 = 495
281 + 673 = 954
127 + 368 = 495
271 + 683 = 954
there are more answers....
Hope this helps
Write the following numbers in order, starting from the smallest. [tex]5/11,[/tex] [tex]\sqrt{2},[/tex] [tex]45.4/100,[/tex] [tex]9/20[/tex]
Answer:
[tex]9/20,[/tex] [tex]45.4/100,[/tex] [tex]5/11,[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Convert the values into decimals.
[tex]5/11=0.45454545454[/tex]
[tex]\sqrt{2}=1.41421356237[/tex]
[tex]45.4/100=0.454[/tex]
[tex]9/20=0.45[/tex]
With decimals, it is especially important to understand place value.
[tex]0.45454545454, 1.41421356237, 0.454, 0.45[/tex]
Order from smallest to largest.
[tex]0.45, 0.454, 0.45454545454, 1.41421356237[/tex]
[tex]9/20,[/tex] [tex]45.4/100,[/tex] [tex]5/11,[/tex] [tex]\sqrt{2}[/tex]
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
3
Step-by-step explanation:
The degree of the given POLYNOMIAL is 3.
Because highest power is 3.
Step-by-step explanation:
3
highest power of the coefficient is 3
Anyone?? :)) please help
Answer:
see explanation
Step-by-step explanation:
Given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition r = 4 when M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
(a)
when r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
when M = 540 , then
540 = 2.5r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
[tex]\sqrt[3]{216}[/tex] = r , thus
r = 6
what is the domain of the function (-2 ,3) (3,9) (4,12) (2,3)
Answer:
{-2,3,4,2}
Domain is basically the x values
Answer:
domain = {-2,3,4,2}
Step-by-step explanation:
domain is related to x coordinate of the point
what is the value of x?
150 + 900=
I'm just trying to figure out how this question asking works as I have only answered questions
Answer: 1050 is the answer? Do u need a calculator
Step-by-step explanation:
4x - {-19x + (-13x - (-5x + 3)]}
Enter the correct answer.
Answer:
=15x−3
Step-by-step explanation:
Let's simplify step-by-step.
4x−−19x−13x−(−5x+3)
=4x+19x+−13x+5x+−3
Combine Like Terms:
=4x+19x+−13x+5x+−3
=(4x+19x+−13x+5x)+(−3)
Answer: =15x+−3
Hope this helps.
4x - {-19x + (-13x - (-5x + 3)]}
Answer:
=15x−3
Step-by-step explanation:
Let's simplify step-by-step.
4x−−19x−13x−(−5x+3)
=4x+19x+−13x+5x+−3
Combine Like Terms:
=4x+19x+−13x+5x+−3
=(4x+19x+−13x+5x)+(−3)
Answer: =15x+−3
Hope it's helpful please...?
jean jogs 2/3 km at 12 km and then walks 1 1/3 km at 8km/h.Find her average for the whole journey.
Answer:80mi/hr * 3.5hrs
In standard notation, 208.06 is written as
Answer:
208.06
Step-by-step explanation:
208.06 is already in standard notation. If you were talking about scientific notation, it would be 2.0806×10².
slove for x.
2x+34=64
Step-by-step explanation:
2x +34 =64
2x=30
X=30/2
X=15
Answer:
[tex] \boxed{x = 15} [/tex]
Step-by-step explanation:
[tex] = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15[/tex]
Simplify fully
13/2x-5/x
Answer:
so the answer is 3/2x
Step-by-step explanation:
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5}{x}[/tex]
taking LCM
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5*2}{x*2}[/tex]
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{10}{2x}[/tex]
=[tex]\frac{3}{2x}[/tex]
i hope it will help you
Fractions are written as a ratio of two or more integers.
Given the expression
13/2x - 5/x
Find the LCM
From the given fraction, the LCM is 2x
= 13/2x - 5/x
= 13-2(5)/2x
= 13-10/2x
= 3/2x
Hence the difference in the fraction given in question is 3/2x
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Aisha and brendan are watching a hot air balloon. the angle of elevation for aisha is 65 degrees. what is the angle of elevation for brendan?
Answer:
The angle of elevation for Brendan is 40°
Step-by-step explanation:
To find the angle of elevation of Brendan, we will follow the steps below;
we can use the sine formula to find the angle of elevation of Brendan since we were given two sides and one angle
Using the sine rule;
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin E}{e}[/tex]
From the diagram above, angle A = 65° side a = 155 m side e=110 m
angle E is what we are to find
we can now proceed to insert the values into the formula
[tex]\frac{sin 65}{155}[/tex] = [tex]\frac{sin E}{110}[/tex]
cross-multiply
155 sinE = 110 sin65°
Divide both-side of the equation by 155
sin E = 110 sin65° / 155
sin E =0.64319
Take the sin⁻¹ of both-side of the equation
sin⁻¹ sin E = sin⁻¹ (0.64319)
At the left-hand side of the equation sin⁻¹ will cancel-out sin leaving us with just E
E = sin⁻¹ (0.64319)
E= 40°
The angle of elevation for Brendan is 40°
The lengths of the sides of a right angled triangle are ( x+1)cm,4x cm,and (4x+1) cm . Find the value of x
Answer:
The value of x is 6.
Step-by-step explanation:
You have to use Pythagorean Theorem, a² + b² = c². Make (4x+1)cm as the hypotenuse because any values substitute into x will give the highest length among these 3 expressions of length :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Let a = side = (x+1)cm,
Let b = side = 4x cm,
Let c = hypotenuse = (4x+1)cm,
[tex] {(x + 1)}^{2} + {(4x)}^{2} = {(4x + 1)}^{2} [/tex]
[tex] {x}^{2} + 2x + 1 + 16 {x}^{2} = 16 {x}^{2} + 8x + 1[/tex]
Then you have to simplify :
[tex]17 {x}^{2} + 2x + 1 = 16 {x}^{2} + 8x + 1[/tex]
[tex]17{x}^{2} + 2x + 1 - 16 {x}^{2} - 8x - 1 = 0[/tex]
[tex] {x}^{2} - 6x = 0[/tex]
Next you have to solve it :
[tex] {x}^{2} - 6x = 0[/tex]
[tex]x(x - 6) = 0[/tex]
[tex]x = 0 \: (rejected)[/tex]
[tex]x - 6 = 0[/tex]
[tex]x = 6cm[/tex]
The value of x in the right triangle is 6 cm.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Right triangle:
The three sides are:
x + 1, 4x and 4x + 1
Applying the Pythagorean theorem.
(x + 1)² + (4x)² = (4x + 1)²
x² + 2x + 1 + 16x² = 16x² + 8x + 1
17x² + 2x + 1 = 16x² + 8x + 1
17x² - 16x² = 8x - 2x
x² = 6x
x gets canceled.
x = 6
Thus,
The value of x is 6.
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