Answer:
8
Step-by-step explanation:
Income = 0
so 0 = 9x^2 - 54x - 154
you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....
divide both sides of the equation by 9 to get
x^2 -6x -16 = 0 which easily factors to :
(x -8)(x+2) = 0 <===== this shows x = 8 or -2(throw out)
Question 25 of 25
Over what interval is the function in this graph increasing?
AV
M
<-10
10
A. 6≤x≤ 10
B. -4≤x≤1
C. -10≤x≤-4
D. 1≤x≤6
The correct option is option B : -4 ≤ x ≤ 1
What is Increasing and decreasing function?
Increasing and decreasing functions are functions whose graphs go upwards and downwards respectively as we move towards the right-hand side of the x-axis. Increasing and decreasing functions are also called non-decreasing and non-increasing functions.
Here, from graph
as we can observe from x = -4 graph starts increases upto x = 1 and after that graph becomes constant.
Thus, between x belongs -4 to 1 the graph is increasing.
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help help help
help help help meeee help me help me
PLEASE HELP ILL MAKE YOU THE BRAINIEST What is the value of x
[tex]~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\implies \dfrac 1{\sqrt 2} = \dfrac{x}{22}\\\\\implies x = \dfrac{22}{\sqrt 2}\\\\\implies x = \dfrac{22\sqrt 2}{2}\\\\\implies x = 11\sqrt 2\\[/tex]
Each statement describes a transformation of the graph of y=x. which statement correctly describes the graph of y=x-9?
A. It is the graph of y+x translated down 9 units.
B. It is the graph of y+x, where the slope is decreased by 9
C. It is the graph of y+x translated to the left 9 units.
D. It is the graph of y+x translated up 9 units.
After six weeks of the coupon offer, the owner of the restaurant needs to decide if the restaurant should continue to run the same special or offer a new one. Use the provided scatter plot to write an equation for the line of best fit.
The equation of the line of the best fit on the scatter plot is y = 150x + 598
How to determine the equation of the line of best fit?From the line in the scatter plot, we have the following points
(x,y) = (3,1048) and (6,1498)
The equation is then calculated using:
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_2[/tex]
The equation becomes
[tex]y = \frac{1498 -1048}{6 - 3} *(x - 3) + 1048[/tex]
Evaluate
y = 150 *(x - 3) + 1048
Expand the bracket
y = 150x - 450 + 1048
Evaluate the sum
y = 150x + 598
Hence, the equation of the line of the best fit is y = 150x + 598
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A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the elementary school (ages 5–10), the middle school (ages 11–13), and the high school (ages 14–18). A histogram summarizes their findings:
Answer:The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram, the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}
Step-by-step explanation:
Write a polyomial equation of degree 4 that has the following roots: -1 repeated three times and 4.
The polynomial equation is P(x) = (x + 1)(x + 1)(x + 1)(x - 4)
How to determine the polynomial?The given parameters are:
Degree = 4Roots = -1 (three times) and 4A polynomial equation is represented as:
P(x) = (x- Root)
So, we have:
P(x) = (x - (-1))(x - (-1))(x - (-1))(x - 4)
Open the inner brackets
P(x) = (x + 1)(x + 1)(x + 1)(x - 4)
Hence, the polynomial equation is P(x) = (x + 1)(x + 1)(x + 1)(x - 4)
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A cast iron pipe used as a water main for a home has an outer diameter of 8 in. If the pipe has a thickness of 0.25 in, what volume of iron does 24 in of pipe contain? Answer in cubic inches.
Prove that :
following
[tex](tan \: q \: + sec \: q) {}^{2} = \frac{1 + sin \: q \: }{1 - sin \: q \: } [/tex]
[tex]\text{L.H.S}\\\\=(\tan q + \sec q)^2\\\\\\=\left(\dfrac{\sin q}{ \cos q} + \dfrac 1{ \cos q} \right)^2\\\\\\=\left( \dfrac{1+ \sin q}{\cos q}\right)^2\\\\\\=\dfrac{(1+ \sin q)^2}{\cos^2 q}\\\\\\=\dfrac{(1+ \sin q)^2}{1-\sin^2 q}\\\\\\=\dfrac{(1 + \sin q)(1 + \sin q)}{(1+ \sin q)(1 - \sin q)}\\\\\\=\dfrac{1+ \sin q}{1- \sin q}\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Please help me with my math question
Answer:
<
Step-by-step explanation:
5.62x10^4=56200, 4.7x10^5=470000, so it is <.
When i double a number i get 16400 what is the number?
Answer:
the answer is 8200
Step-by-step explanation:
8200+8200=16400
!20 PTS!
Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). EXPLAIN IN STEPS.
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). EXPLAIN IN STEPS.
For both problems, we can use the section formula.
1) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]
2) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]
Sheryl makes $7 per pair of
earrings, e, and $13 per necklace,
n, she sells. What expression
represents her total income?
The expression T = 7e + 13n represents the total income of Sherly where e is the number of earrings she sells and n is the number of necklace she sells.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
Sheryl makes $7 per a pair of earrings, e, and $13 per necklace, n, she sells.
Let's suppose the total income of Sherly is T:
Then,
T = 7e + 13n
Here e is the number of earrings she sells and n is the number of necklace she sells.
T is the total income and the expression T = 7e + 13n represents the total income of Sherly.
Thus, the expression T = 7e + 13n represents the total income of Sherly where e is the number of earrings she sells and n is the number of necklace she sells.
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Answer:
see below
Step-by-step explanation:
I would use the sine function for the info given
in a right triangle sine = opp leg / hypotenuse
so sin 57 = 10.8/x
then x = 10.8 / sin 57 = 12.87
Complete the proof to show that ABCD is a parallelogram.
PROOF:
BC ║ AD and CD ║ BA because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.
OPTIONS:
A) lengths of consecutive sides are not equal
B) slopes of opposite sides are equal
C) lengths of opposite sides are equal
D) slopes of consecutive sides are not equal
IMAGE:
In the proof given, BC║AD and CD║BA because: B. slopes of opposite sides are equal.
What is the Slope of Parallel Lines?If two lines are parallel, they will have the same slope value,.
Slope = rise/run.
Slope of BC = rise/run = -2/5
Slope of AD = -2/5
Slope of BA = rise/run = -6/1 = -6
Slope of BA = rise/run = -6/1 = -6
Therefore, we can conclude that BC║AD and CD║BA because: B. slopes of opposite sides are equal.
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If two boats sail at a 45° angle to the wind as shown, and the wind is constant, will their paths ever cross? Explain your reasoning. Which of the angle pair did you use and what does the theorem state? wind 45° 45°
please with the explanation
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below.
Nikki's proposed placemat has a triangular light area with a base of 60 feet and height of 38 feet. Dylan's proposed placemat has a base of 60 feet and a height of 38 feet.
How do Nikki’s and Dylan’s proposals compare? Check all that apply.
Nikki’s proposed placement will light a greater area than Dylan’s placement.
Dylan’s proposed placement will light a greater area than Nikki’s placement.
Both proposed placements will light the same sized area.
Nikki’s proposed placement will light more than half the yard.
Dylan’s proposed placement will light more than half the yard.
Dylan’s proposed placement will light exactly half of the yard.
Nikki’s proposed placement will light less than half of the yard.
The correct situation for the given condition are as follows:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
What is Area of Triangle?
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
The area of a triangle = (base x height) / 2
and,
both lights illuminate the same base and height = (60 x 38) / 2
= 1,140 sq ft
Both Dylan's and Nikki's proposed placement will lit exactly half of the yard.
The yard's total area = 60 x 38 = 2,280 sq ft,
which is twice the area lit by the lights.
Thus, The correct situation for the given condition are as follows:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
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A support wire reaches from the top of a pole to a clamp on the ground. The pole is
perpendicular to the level ground and the clamp is 10 feet from the base of the pole. The
support wire makes a 68° angle with the ground. Find the length of the support wire to the
nearest foot.
The length of the support wire on the pole is 27 feet
How to determine the length of the support?The given parameters are:
Distance from the base, b = 10 feetAngle with the ground, x = 68 degreesThe length (L) of the support wire is then calculated using the following cosine function
cos(x) = b/L
This gives
cos(68) = 10/L
Make L the subject
L = 10/cos(68)
Evaluate
L = 27
Hence, the length of the support wire is 27 feet
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Image is attached
Find x and y of 2 similar polygons
Answer:
11
Step-by-step explanation:
10/15=6/x-2
then solve for x
x=11
• function notation•
these are so confusing
Answer:
15
Step-by-step explanation:
Just substitute the x for 5
In this case:
Original function: f(x) = [tex]x^{2}[/tex] - 2x
Substitute function: f(5) = [tex](5)^{2}[/tex] - 2(5)
Now solve for the substitute function
[tex](5)^{2}[/tex] - 2(5)
25 - 10
15
Therefore, f(5) is equal to 15
Please help me thanks!
Answer: See the screenshot below.
Explanation:
We'll be using these trig functions
sine = opposite/hypotenusecosine = adjacent/hypotenusetangent = opposite/adjacentThe inverse of those help us find the angle. Notation like arcsine is the same as inverse sine denoted as [tex]\sin^{-1}[/tex] on many calculators.
The decimal results are approximate.
Prove that √2 is an irrational number and hence show that 3+5√3 is also irrational
Answer:
square rooted numbers like the square root of 2 are irrational because when calculated they don't equal a whole number.
Step-by-step explanation:
3+5√3 = 11.66 // not whole - irrational
√2 = 1.4 // not whole - irrational
√25 = 5 // whole - rational
What is the volume of the cone? cone v = one-third b h startfraction 70 over 3 endfraction pi centimeters cubed startfraction 140 over 3 endfraction pi centimeters cubed startfraction 490 over 3 endfraction pi centimeters cubed startfraction 700 over 3 endfraction pi centimeters cubed
Using the assumed values, the volume of the cone is [tex]V = \frac {250}3\pi[/tex]
How to determine the volume of the cone?The volume of a cone is calculated using:
[tex]V = \frac 13\pi r^2h[/tex]
The parameters are not given.
So, we use the following assumed values
Radius, r = 5
Height, h =10
Using the assumed values, we have:
[tex]V = \frac 13\pi * 5^2 * 10[/tex]
Evaluate the product
[tex]V = \frac {250}3\pi[/tex]
Hence, using the assumed values, the volume of the cone is [tex]V = \frac {250}3\pi[/tex]
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Answer: C (490/3
Step-by-step explanation:
Review the graph of f(x). What is the function’s behavior close to the vertical asymptote x = 2? Limit of f (x) as x approaches 2 minus = infinity and limit of f (x) as x approaches 2 plus = infinity Limit of f (x) as x approaches 2 minus = infinity and limit of f (x) as x approaches 2 plus = negative infinity Limit of f (x) as x approaches 2 minus = negative infinity and limit of f (x) as x approaches 2 plus = infinity
The function's behavior at vertical asymptote x = 2 is (b) [tex]\mathbf{ \lim_{x \to 2^-} f(x) = \infty\ and \ \lim_{x \to 2^+} f(x) = -\infty}[/tex]
How to determine the function's behavior?The attached graph represents the missing information in the question.
From the attached graph, we have the following highlights:
At x = 2, a curve points upwardAt x = -2, another curve points downwardThis means that the limit of f(x) approaches negative infinity and positive infinity at this value of x
Hence, the function's behavior is (b) [tex]\mathbf{ \lim_{x \to 2^-} f(x) = \infty\ and \ \lim_{x \to 2^+} f(x) = -\infty}[/tex]
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What is cos B?
A. 8/15
B. 15/8
C. 8/17
D. 15/17
Answer:
C. 8/17
Step-by-step explanation:
Given:
Hypotenuse = 17
BC = 8
Cos (B) = leg adjacent to ∠B / hypotenuse
= BC/BA
Substitute
Cos (B) = 8/17
Hence option C is correct
Is the number 351 a
composite number?
Solve this equation
3x - 5 = -26
3x - 5 = -26
step 1:
subtract +5 on each side because you have to do the inverse operation
step 2:
3x= -21
step 3:
now divide 3 on each side
the answer is -7
Hope this helped!
TheOneAndOnlyLara~
Answer:
x=-7.
Step-by-step explanation:
Hi student! Let me help you out.
_________________
First, add 5 to both sides.
[tex]\sf 3x=-26+5[/tex]. Upon simplifying, we obtain this.
[tex]\sf 3x=-21[/tex].
↪
Now divide both sides, by 3.
[tex]\sf x=-7[/tex]
[tex]\therefore,\sf the \quad value \quad of \quad x \quad is \quad -7[/tex]. Which is our final answer.
⇨Hope that this helped! have a great day ahead! ⇦
Best Wishes!
[tex]\star\bigstar\underline{\overline{\overline{\textsf{Reach far. Aim high. Dream big.}}}}[/tex]
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__________________________
help me please I will give you brainliest
Answer:
-17, -10, -6, -5, 3, 8 only change is between 3 and 8
what is the quotient of (x^3+3x^2-4x-12) divided by (x^2+5x+6)
Answer:
x - 2
Step-by-step explanation:
x^3 + 3x^2 - 4x - 12 simplifies to (x + 2)(x - 2)(x + 3)
x^2 + 5x + 6 simplifies to (x + 2)(x + 3)
(x + 2)(x - 2)(x + 3)
(x + 2)(x + 3)
The (x + 2) and (x + 3) cancel
x - 2
Kayden Kohl
9th Grade Student
(Algebra 2)
3(x-2y)=5(x-3y)+9 write in slope intercept form help!
Answer:
y = (2x/9) + 1
Step-by-step explanation:
Solving for y we get 3(-2y+x) = 5(-3y+x)+9
Expand the above we get -6y+3x=5(-3y+x)+9
which is -6y+3x = -15y+5x+9
then 9y = 2x+9
which y = (2x/9) + 1