Answers
Answer:
Ix + 2I - 5 = -(x - 1)*(x - 3)
Step-by-step explanation:
In the graph, we can see two functions a red one, f(x), and a blue one, g(x)
And the equation would be f(x) = g(x)
The red one is an absolute value function, we can see that the vertex is at x = -2 and at y = -5, and it has a slope equal to 1.
Remember that for an absolute value equation with a vertex (a, b) is:
f(x) = Ix - aI + b
Then in this case, the absolute value equation is:
f(x) = Ix - (-2)I - 5
f(x) = Ix + 2I - 5
The blue equation is a quadratic equation, with roots 1 and 3, and we can see that it opens down, so the leading coefficient is negative.
Remember that for a quadratic equation with roots a and b, with leading coefficient A is:
g(x) = A*(x - a)*(x - b)
Then in this case the quadratic equation is something like:
g(x) = -N*(x - 1)*(x - 3)
Then the equation will be something like:
f(x) = Ix + 2I - 5 = g(x) = -N*(x - 1)*(x - 3)
Ix + 2I - 5 = -N*(x - 1)*(x - 3)
The only option that has this shape is the first option (the top one) such that N = 1, then:
Ix + 2I - 5 = -(x - 1)*(x - 3)
is the correct option.
Related Questions
(HELP ASAP)In the figure, if OQ is the angle bisector of ∠POR, find m∠POQ.
Answers
Answer:
61°
Step-by-step explanation:
[tex]9x+7=13x-17[/tex], QO Bisector
[tex]x=6\\[/tex], Algebra
[tex]m<POQ = 60[/tex], Algebra/Sub
I will mark you brainlist!
Answers
Explanation: you are trying to find the surface area. The formula for surface area is: Surface Area=2(width x length)+2(length x height)+2(height x width)
Since the question gives us the values of height, length and width. Just fill the information into the formula.
Surface Area=2(7x10)+2(10x3)+2(3x7)
Solve the parentheses:
Surface Area= 2(70)x2(30)+2(21)
Distribute the 2 into the parentheses:
Surface Area=140+60+42
Solve:
Surface Area=242
What is the value of h?
Answers
Answer:
6.
Step-by-step explanation:
626×10−34
Answer:
h= 5.7
Step-by-step explanation:
trust me pls ill show work if u need me to
Find the area of a square
Answers
Answer:
Step-by-step explanation:
area =l^2
=7^2
=49 km^2
find the solution of given expression !!
[tex] \sqrt{36 \times 4} [/tex]
Answers
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \sqrt{36 \times 4} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex][tex]2 \times 3 \times 2[/tex][tex]12[/tex]Therefore, the correct answer is 12
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
what is 1 x (a + 3) = a + 3
Answers
Answer:
[tex]\huge\boxed{a\in\mathbb{R}}[/tex]
The solution is the set of all real numbers.Step-by-step explanation:
[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]
Answer:
See the Image below:)
ITS TRUE
SOLUTION ALL REAL NUMBERS
Step-by-step explanation:
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answers
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
The price of a cake of radius r сm and height h cm is given by the formula
P=
[tex] \frac{1}{25} {r}^{2} h[/tex]
If the price of cake is $240 and the height is 15 cm, calculate the radius
of the cake.
pls provide step-by-step explanation, final ans is 20 cm. tysm <33
Answers
Answer:
20 cm
Step-by-step explanation:
Given that :
P = 1/25 r²h
P = price = 240 ; h = height = 15cm
Inputting values into the equation :
240 = 1/25 * r² * 15
25 * 240 = 15r²
6000 = 15r²
6000 / 15 = r²
400 = r²
Square root of both sides
20 = r
Radius = 20cm
1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%
Answers
Hope this helps
The radius of a circle is 75 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Answers
Answer:
The circumfrence is 150pi.
Step-by-step explanation:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Use the law of cosines to write an expression equivalent to b
Answers
Given:
A triangle ABC.
The given expression for b is:
[tex]b=\sqrt{m+n-pq}[/tex]
To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,
[tex]b^2=a^2+c^2-2ac\cos B[/tex]
It can be written as:
[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex] ...(i)
We have,
[tex]b=\sqrt{m+n-pq}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=a^2[/tex]
[tex]n=c^2[/tex]
[tex]p=2ac[/tex]
[tex]q=\cos B[/tex]
Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].
What value of x makes this equation true? 4x – 10 = 18
Answers
Answer:
7 is the correct answer. brainliest plese
Answer: x=7
4,7=28
28-10 =
18
THIS IS RIGT I PROMIS
or to do it yourself do
10 plus 18
then divide it by 4
Evaluate the expression (35+ 7) {6 – 5).
Answers
Answer:
The answer is 41
Step-by-step explanation:
(35 + 7) (6 - 5)
(42) × (1) = 41
Thus, The answer is 41
-TheUnknownScientist
The sum of three numbers is fifty-four. The second number is four times the first number, and the third number is six more than the first number. What are the three numbers?
Answers
Answer:
8 , 32 AND 14
Step-by-step explanation:
Need help ASAP! Will give brainliest;) No links please, will report.
The area of a triangle is 55x^3+15x^2-25. The length of the triangle is 5x. What is the width?
Answers
Answer:
The area of a triangle =55x^3+15x^2-25
1/2×length×width=55x^3+15x^2-25
5x/2×width=55x^3+15x^2-25
width=[55x^3+15x^2-25]×2/5x
width=22x²+6x-10/x is your answer
What is the angle relationship between c and d?
Also what is the relationship between c and f?
(could be Vertical, alternate exterior, alternate interior, corresponding, same-side interior, same-side exterior, or linear pair.)
Answers
Answer:
1. linear pair (c and d)
2. alternate interior angles (c and f)
Step-by-step explanation:
Here, we want to get the relationship between angles
From what we have , we can see that angle d and angle c lie on a straight line
Thus, we have that angle c and angle d are supplementary angles since they will add up to give 180 degrees . So we can call the two a linear pair
For c and f, we can notice a z-like angle between the two
In this case, when we have a z-like angle, the relationship that exists between the two angles is that they are alternate interior angles
I need the answer ...
Answers
someone, please help me with this, if you can explain it fully that'll be great. I have been sick and missed all the classes and idek the name of this topic
send help
thank you in advance
Answers
Step-by-step explanation:
i don't know how to do 1b and 2a hope these two helps :))
plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 inches by 10 inches. Is he correct? Use the drop-down menus to explain your answer. Stephan Choose... have enough wood to make the tray because he has Choose... square inches, which is Choose... than he needs to make the tray, Choose... square inches.
Answers
Answer:
No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches
I need help with this
Answers
Answer:
look at s d g
Step-by-step explanation:
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Answers
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
Can you help me solve this question
Answers
Write the sentence as a conditional statement.
Two parallel lines lie in the same plane.
Answers
I WILL GIVE YOU BRAINLIEST ANSWER IF YOU GET IT CORRECT!
Laura is donating two boxes of books
to the library. One box has a mass of
9 kilograms. The other box has a mass
of 7 kilograms. What is the total mass
of the two boxes in grams?
Answers
Answer:
16000 grams
Step-by-step explanation:
9(1000) + 7(1000) = 16000
URGENT PLEASE HELP!!
What is the equation of the linear function?
A. y = 1/2x + 3 B. y = -1/2x + 6 C. y = 2x + 3 D. y = -1/2x + 3
Answers
Answer:
y = -1/2x + 3
Step-by-step explanation:
(6，0) is on the linear function, 0= -1/2 × 6 + 3
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answers
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
[tex] \frac{1}{x^{2} - 1 } - \frac{1}{x - 1} [/tex]
Answers
Answer:
-x/x^2-1
Step-by-step explanation:
-x^2+x/x^3-x^2-x+1
x(-x+1)/(x+1)(x-1)(x-1)
-x/x^2-1
A cube has a side length of 5x cm. What is the volume of the cube?
Answers
Answer:
125x^3 cm^3
Step-by-step explanation:
The volume of a cube of side length s is V = s^3.
If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3
a rectangle has a lenght of 8cm. its area is 72 cm squared. calculate the perimeter of the rectangle
Answers
answer is 576 is your answer
radio station KLUV broadcasts in all directions to a distance of 50 mi. How many square miles are in the stations broadcast area?
Answers
Answer:
7850 mi
Step-by-step explanation:
Area of a circle is:
A = (pi)r²
A = (3.14) (50²)
A = (3.14) (2500)
A = 7850 square miles