Answer:
y = (x - 2)(x + 1)(x + 3)
Step-by-step explanation:
horizontal intercepts at x = 2, -1, -3
-> y = 0 when x = 2, x = -1, and x = -3
Think x minus what equals y?
1. y is 0 and x is 2 -> 0 = (2 - 2) -> y = (x - 2)
2. y is 0 and x is -1 -> 0 = (-1 - (-1)) -> y = (x + 1)
3. y is 0 and x is -3 -> 0 = (-3 - (-3)) -> y = (x - 3)
so the equation is y = (x - 2)(x + 1)(x + 3)
since y = 0 when x = 2, x = -1, and x = -3
We want to find a polynomial given that we know its roots.
We will get:
p(x) = x^3 + 2*x^2 - 5*x - 6
-------------------------------------
A polynomial with the roots {x₁, x₂, ..., xₙ} and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Here we know that the roots (horizontal intercepts) are {2, -1 , -3} but we do not know the leading coefficient, so we will use A = 1.
Then the polynomial is:
p(x) = (x - 2)*(x + 1)*(x + 3)
Expanding that we get:
p(x) = (x^2 - x - 2)*(x + 3)
p(x) = x^3 + 2*x^2 - 5*x - 6
This is a possible equation for the polynomial with the given horizontal intercepts.
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Determine the distance between the following two points
(10,1) and (9,-4)
what is the solution for x in the equation
-2x+14+10x=34
A. x=6
B. x=1/8
C. x=5/2
D. x=2/5
Answer:
C. x=5/2
Step-by-step explanation:
-2x+10x=34-14
(8x=20 ) /:8
x=5/2
What is 18 plus the quotient of 36 and 9?
-Зу = 7x - 21
Use intercepts to graph the line described by each equation
Answer: to get the equation needed to graph the equation, divide tach term by -3 to isolate y. The slope-intercept equation becomes
y = -7x/3 + 7
Step-by-step explanation:
Use the y-intercept to plot 7 on the y axis then plot a point down 7 and 3 to the right (3,0) and draw the line through those points.
Any help is appreciated.
Step-by-step explanation:
Hey there!
Now, let's look into figure.
angle ACB = 65° { Base angle of triangle ABC}
angle ACB + angle BAC + angle ABC = 180°
65° + 65° + angle ABC = 180°
angle ABC = 180°-130°
Therefore, angle 50°
angle EBD = 50° ( Vertically opposite angle)
Now;
angle EBD= angle DEB = 50° ( Base angle of triangle BDE )
angle BDE + angle DEB + angle EBD = 180° ( Sum of interior angle)
angle BDE = 180° -100°
Therefore, angle BDE = 80°.
Now, 80° + 14x + 2 = 180° { being linear pair}
14x = 180°-82°
14x = 98°
[tex]x = \frac{98}{14} [/tex]
X = 7°
Hope it helps......
The diameter of a circle is multiplied by 10 how does the circumference change?
Step-by-step explanation:
The circumference of a circle is given by :
C=2πr, r is the radius of the circle
Also, 2r = D, diameter of the circle
⇒ C = πD
If the diameter of a circle is multiplied by 10, it means,
C = π(10)
⇒ C = 10π
Hence, if the diameter of a circle is multiplied by 10, then its circumference becomes 10π.
yes or no i make first answer brailiest
Answer: yes
Step-by-step explanation:
2
What are the coordinates of the image?
Rx-axis (1, 6)
Answer:
over one to the right, up six
The reflection of the point (1,6) across the x-axis is (1,-6).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A figure's mirror image in the axis or plane of reflection is its image by reflection.
Given that the coordinate is (1,6). The reflection of the coordinates across the x-axis will be,
R(x₁ , y₁) ⇒ R(x₁,-y₁)
R(1,6) ⇒ R( 1,-6)
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A sports arena is in the shape of a rectangle. The arena has a length of (x − 3) feet and a width of (2x + 4) feet. Which of the following represents the area of the arena?
Answer:
2x² - 2x - 12
(x-3)(2x + 4)
expand brackets:
2x² + 4x - 6x - 12
then simplify:
2x² - 2x - 12
hope this helps
brainliest please?
x
Answer:
2x² - 2x - 12 Step-by-step explanation:
Pls help i need it now ill give brainliest if right (:
-7 [tex]\frac{9}{16}[/tex]
-2 3/4 = -2.75
-2.75^2 = -7.5625
-7.5625 = -7 [tex]\frac{9}{16}[/tex]
2. Find the length of segment JK with endpoints J(4,8) and K(-1,-2). Leave answer as a
radical. Simplify if necessary.
Answer:
Distance of JK = 15 unit
Step-by-step explanation:
Given:
J(4,8)
K(-1,-2)
Find:
Distance of JK
Computation:
Distance = √(x₂-x₁)² + (y₂-y₁)²
Distance of JK = √(-1-4)² + (-2-8)²
Distance of JK = √25 + 100
Distance of JK = √125
Distance of JK = 15 unit
Oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. Which expression shows how to determine the total cost of the oranges?
12.6 times 0.45
12.6 minus 0.45
12.6 + 0.45
12.6 divided by 0.45
Answer:
12.6 times 0.45
price: .45
quantity: 12.6
cost = price x quantity
Answer:
12.6 x 0.45
Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.
what is a thesis statement?
Answer:
A thesis statement is a claim
Step-by-step explanation:
The thesis statement is the sentence that states the main idea of a writing assignment and helps control the ideas within the paper. It is not merely a topic. It often reflects an opinion or judgment that a writer has made about a reading or personal experience. For instance: Tocqueville believed that the domestic role most women held in America was the role that gave them the most power, an idea that many would hotly dispute today.
<2 and <3 are ____ angles
complementary
vertical
congruent
supplementary
Answer:
I think it's supplementary
Answer:
supplementary
Step-by-step explanation:
∠2 and ∠3 are supplementary angles
this means ∠2 and ∠3 are equal to 180
Characterize the slope of the line in the graph.
Answer:
The answer is, C. Zero because it is neither positive or negative
Answer:
Zero Hope this helps!
Four more than a number is negative twenty..
Answer:
The number is negative 16
Step-by-step explanation:
if it is trying to find the number
Which number is the greatest? Which is the least
NEVER MIND DON'T DO THIS
BUT I DO NEED POINTS SO COMMENT
Answer:
Huh?
Step-by-step explanation:
A farmer watered 3/7 of a field. What percentage is equivalent to the fraction of the field the farmer watered?
Answer:510
Step-by-step explanation:
Answer:
510
Step-by-step explanation:
Chris Butcher earns $21,423 per year. His
personal exemptions include himself, his
wife, and their son. The state tax rate in
his state is 4.5 percent of taxable income.
What amount is withheld yearly for state
income tax?
Answer:
Step-by-step explanation:
what is the product of 4/9 and 1/11? 4/99 5/99 9/44 1/4
Answer:
4/99
Step-by-step explanation:
Multiply the numerator and den0ominater, then stack them
Answer:
4/99
Step-by-step explanation:
4/9 * 1/11
Multiply the numerators
4*1 = 4
Multiply the denominators
9*11 = 99
numerator over denominator
4/99
5 (x+2) +2x URGENT ANSWER FAST PLEASE!!
Answer:
7x+10
Step-by-step explanation:
use distributive property on 5(x+2)
your expression is now 5x+10+2x
Combine like terms so now your answer is 7x+10
Hope this helps
The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this
situation
A. 2(x + y) = 60
B. 2x + 2y = 60
C. x+2y = 60
D. 2x + y = 60
E. x+y = 60
Answer:
A and B are the correct answers
The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.
The perimeter of a rectangular room is 60 feet.
The perimeter of a rectangle is given by,
P = 2 ( Length + Breadth)
Let x be the width of the room (in feet).
Let y be the length of the room (in feet).
Substituting the values in the formula to get the equation.
60 = 2 ( x +y)
2 ( x +y) = 60 ---------- (1)
2x +2y = 60 ------------(2)
Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.
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What is the change that occurs to the parent function f(x) = x2 given the function f(x) = (x - 3)2.
A.)Graph moves 3 units down.
B.)Graph moves 3 units up.
C.)Graph moves 3 units left.
D.)Graph moves 3 units right.
9514 1404 393
Answer:
D.) Graph moves 3 units right.
Step-by-step explanation:
Replacing x with x-h moves the graph h units to the right. Here, h=3, so the graph is moved 3 units to the right.
parent: f(x) = x^2
translated: f(x) = (x -3)^2
What is a counterexample? "If a number is an integer, then it is either positive or negative."
Answer:
POSITIVE THANK ME LATER
Step-by-step explanation:
A map of Utah is shown. Which area is closest to the area of Utah? Group of answer choices 1,240 square miles 87,150 square miles 94,500 square miles 119,000 square miles
Answer:
87150
Step-by-step explanation:
84,899 is the exact square miles, but 87,150 is closest
American Airlines stock is currently $12.23 per share. How many shares could you buy
with $2000?
—————————
a-2000
b-200
c-163
d-164
Answer:
c
Step-by-step explanation:2000/12.23
Davion’s crew can hang 12 sheets of drywall in 15 minutes. At this rate, how many sheets can they hang in 1 hour? (15 minutes # 1/4 hour
Answer:
48 sheets
Step-by-step explanation:
15*4=60m=1hr
So 12*4=48 sheets in an hour
Given: △ABC, m∠A=60°
m∠C=45°, AB = 9
Find: Perimeter of △ABC
Area of △ABC
Please don't use trig
Answer:
Perimeter of ΔABC =32.31 units
Area of the triangle ABC = 47.81 sq. unit
Step-by-step explanation:
In triangle ABC
[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]
Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°
[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]
Now we are supposed to find the perimeter and the area of the ΔABC
We will use the sine rule to find the lengths of sides BC and AC
Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]
[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]
[tex]AC \times sin(45) = 9 \times sin(75)[/tex]
AC = 12.29
Perimeter of ΔABC = AB + BC + AC
Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units
Area by using the sine rule:
Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]
Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]
Area of the triangle ABC = 47.81 sq. unit
state the domain of the relation ? ( there is more than one?) select all that apply
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).
Add or subtract.
1/7+5/6
Answer:
Hi there
Your answer is
41/42
Step-by-step explanation:
To add these, they need to have the same denominator.
1/7 * 6/6 = 6/42
5/6 * 7/7 = 35/42
6/42 + 35/42
=
41/42
