point-slope form
y - y₁ = m(x - x₁)
[tex]y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5[/tex]
The answer is A) Choice A.
1.5. a + b + c + d + e is this expression a monomial/ binomial/ trinomial/ polynomial
Answer:
polynomial
Step-by-step explanation:
because poly=more than 1
mono=1
bi= 2
tri=3
What should I write for this?
Answer:
a. Solve the System of Equations. Show your work
Place the correct coefficients
x²y³ +
in the difference.
xy² +
y
The difference between the two polynomials is 11x²3y³ - 4xy².
What is the Difference between the Polynomials?The difference between two polynomials is the result you get by subtracting one from the other.
Thus:
= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y
= 11x²3y³ - 4xy²
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PLEASE HELP WILL GIVE BRAINLEST! Which trigonometric function does the graph below represent?
Answer:
Answer In this Picture.
CAN U HELP ME PLS I'LL MARK U BRAINLIST
Answer:
64
Step-by-step explanation:
Tickets for a concert are sold at a rate of 370 tickets per hour. At this rate, how long will it take to sell all the tickets for a 2100-seat auditorium?
Answer:
5 hours and 42 mins
Step-by-step explanation:
ANSWER ASAP PLS
Which of the following equations have exactly one solution?
Choose all answers that apply:
2x 31 = 2x - 31
2x 31=-2x-31
2x+31= 2x - 31
2x-2=2x-31
The equation that has exactly one solution will be 2x + 31 = - 2x - 31. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given.
Check whether the equation is linear or not.
1. 2x + 31 = 2x - 31, this is not a linear equation.
2. 2x + 31 = - 2x - 31, this is a linear equation.
Then the solution of the linear equation will be
4x = - 62
x = - 15.5
3. 2x + 31 = 2x - 31, this is not a linear equation.
4. 2x - 2 = 2x - 31, this is not a linear equation.
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20 cm
10 cm
Find the area of this figure.
[?] square centimeters
6 cm
Answer:
260 cm^2
Step-by-step explanation:
Area of rectangle = 20 x 10 = 200 cm^2
Area of triangle = 6 x 20 /2 = 60 cm ^2
Area of figure = 200 + 60 = 260 cm^2
A complete graph of the polynomial function f is provided. Use your knowledge of the domain, range, behavior at each x intercept, end behavior, symmetry, local and global extreme values, and intervals of increasing and decreasing to select the best choice of the polynomial function, f.
The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²
How to determine the equation?From the graph, we have the following observations:
The graph has a turning point at x = 2The graph changes the factor of its direction at x = -5This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5
So, we have:
f(x) = a(x + 5)³(x - 2)²
The curve is inverted,
This means that a < 0
Assume a = -1.
Then, we have:
f(x) = -(x + 5)³(x - 2)²
Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²
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HELP PLEASE !!!!!!!!
Answer:
Graph B
Step-by-step explanation:
Point-line graphs are usually used to compare data over a course of time, and bar graphs are more commonly used to compare statistics between different data sets (in this case it is between different countries)
Mr. Jones grades 12 exams
in 2 hours. At that rate,
how many hours would it
take to grade 48 exams?
Answer:
8 hours
Step-by-step explanation:
12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams
Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know
Answer:
8 hours
Step-by-step explanation:
To solve this it seems you need to set up a proportion.
12/2=48/x
cross multiply the 2 and 48.
2•48=96.
divide by the remaining number to get x.
96/12=8.
find the volume of a rectangular prism with a length of 4 inches and a width of 7 inches and a height of 11 inches
Answer:308
Step-by-step explanation:Multiply 4*7*11
Please help me, I need an answer as soon as possible.
Answer:
[tex]\huge\boxed{\sf x = \pm \sqrt{7} }[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=x^2-7[/tex]
We can also write it as:
[tex]y =x^2-7[/tex]
x-intercept is the point where y = 0
Put y = 0 in the above equation
[tex]0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}[/tex]
(1 - cot theta) ^ 2 + (1 + cot theta) ^ 2 = 2cosec ^ 2 theta
[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Graph the inequality
y≤2
Answer:
straight line on 2 on the y axis
Step-by-step explanation:
Its just a straight line on 2 on the y axis
4. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x+3, g(x)=
Answers:
[tex](f \circ g)(x) = 2x^2-5x\\\\(g \circ f)(x) = 2x^2+7x\\\\[/tex]
The domain is "all real numbers" which you could type in (-infinity, infinity) or [tex](-\infty, \infty)[/tex] when doing interval notation. This applies to both.
=========================================================
Explanation:
See the attached image for the steps of each.
The domain is the set of all real numbers because each result is a polynomial. We don't have to worry about dividing by zero, taking a square root of a negative number etc. There are no restrictions on x. Any real number can replace x to get some real number result for y. This applies to both composite functions.
Find the volume of the composite space figure to the nearest whole number.
2 mm
9 mm
16 mm
Not drawn to scale
A. 1306 mm³
B. 450 mm³
C. 797 mm³
• D. 514 mm³
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The graph is given below.
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be
Volume = [(πr²/2) + a x b] x h
Volume = [(π x 4.5²/2) + 9 x 2] x 16
Volume = [10.125π + 18] x 16
Volume = 48.808 x 16
Volume = 796.938
Volume ≅ 796.94 cubic mm
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PLS HELP I WILL GIVE BRAINIEST If triangle BCD were rotated over the y-axis from point (0, 0), what would be the coordinates of the new triangle's vertices?
A. (0, -1) , (-4, -3), (-2, -1)
B. (-1, 0), (-5, -2), (-3, 4)
C. (1, 0), (5, 2), (3, 0)
D. (1, 0), (1, -2), (-3, -4)
The coordinates of the new triangle's vertices are (0, -1), (-4, -3), and
(-2, -1). Hence option A is true.
Used the rule of a point (x, y) when rotated over the y-axis of 90° clockwise rotation from point (0, 0),
(x, y) → (y, - x)
Given that the triangle BCD is shown in the image.
Here, the coordinates of the vertices of BCD are,
B = (1, 0)
C = (3, - 4)
D = (1, - 2)
Now apply the rotation rule, the coordinates of the new triangle's vertices are;
B' = (0, - 1)
C' = (- 4, - 3)
D' = (- 2, - 1)
Therefore, the option A is true.
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A Panel in a stained-glass window in the shape of a parallelogram has the dimensions shown. Find the area of the panel.
Answer: 20 sq ft
Step-by-step explanation: The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.
area of parallelogram = base * height = 5*4 = 20
note: the base is always perpendicular to the height
879+29 do you know what it is
Answer:
908
Step-by-step explanation:
879+29=908
Please help me answer these
Answer:
98
Step-by-step explanation:
b(c(3))
b(3(3)-2)
2(3(3)-2)^2
2(9-2)^2
2(7)^2
2(49)
98
A gas station offers a lucky draw to customers.
each time you spend more than $20 on gas, you can make a draw to win a prize.
the probability of winning a prize is 1/12
suppose you buy gas 4 times. what is the probability of you winning a prize each time?
Answer/Step-by-step explanation:
Given:
A gas station offers a lucky draw to customers. Each time you spend more than $20 on gas, you can make a draw to win a prize. The probability of winning a prize is 1/12 suppose you buy gas 4 times.
To Find:
what is the probability of you winning a prize each time?
Solve:
Since, it given that you buy gas 4 times. Thus that means:
1/12 × 1/12 × 1/12 × 1/12 or 1/12⁴
Now solving it:
1/12 × 1/12 × 1/12 × 1/12 = 1/20736
Which also means (0.0048%) in decimal form since, 1 divide by 2076 equal to 0.0048%
Kavinsky
Solve the following question: 4(5x-2)=2(9x+3)
Let's solve this problem step by step:
⇒ on one side, I solve the equaiton
⇒ on the other side, I give you the property that I use to solve the
equation
⇒ you don't need to write down those properties if your teachers
didn't ask you for it
[tex]4(5x-2)=2(9x+3)\\[/tex] | Given equation
[tex]20x-8=19x+6[/tex] | Distributive Multiplication over subtract/add
[tex]x=14[/tex] | Subtraction Property of Equality
Answer: x = 14
Definition of Properties:
Distributive Property of Multiplication over subtraction/addition: it says that the product of a number and the difference/adding of two other numbers is equal to the difference/sum between the products of the distributed number.Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the sameExamine the ordered pairs in this function.
(8,5), (-3,8), (11,-1), (10,-5), (4,4)
True or False: This relation IS a function.
True
False
Answer:
True
Step-by-step explanation:
A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.
Calculate the missing balances in Jane's check register.
Check # Date Transaction Deposit Withdrawal Balance
341 6/11 dress shop $71 99 $279 66
342 6/15 nail salon $41 50 $
6/20 graduation money $200 00 $
Day 6/11 = $6,920
Day 6/15 = $6,505
Day 6/20 = $6,305
Calculation of missing balancesDay 6/11 Jane deposited=$7,199She withdrew $279 to buy clothes
Therefore her final balance= $6,920
Day 6/15 from her balance, she made her nails in a nail salon for $41 5.Therefore, her balance is
= $6,920 - $415
= $6,505
Day 6/20 Jane withdrew her graduation money at the prize of $200Therefore her balance is
= $6,505 - $200
= $6,305
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What is the sum of the interior angles of the polygon shown below?
Answer:
30600
Step-by-step explanation:
This figure shows the dimensions of an A frame house.
What is the volume of the house?
Enter your answer in the box.
V =
ft³
Root of 3 time the root of
5
Answer:
root of 15 or in decimal form 3.87 (rounded)
Step-by-step explanation:
You just multiply both together
-x/8-11=-2 what is the answer because i have a tough time solving it
Answer:
[tex]x=-72[/tex]
Step-by-step explanation:
[tex]-\frac{x}{8}-11=-2\\ -\frac{x}{8}=9\\ -x=72\\x=-72[/tex]
Peter is planting a rectangular garden. The length is 15 yards longer than the width. Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden. What is the ratio of the area of Peter's garden to the area of Jorge's garden? Use this ratio to find the ratio of the areas if the width of Peter's garden is 32 yards.
x + 32/x ; 32/15
x-32/x ; 32/15
x+15/x ; 47/32
x-15/x ; 47/32
If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32
Area of a rectangle.area of rectangle = lw
where
l = lengthw = widthTherefore,
Peter rectangular garden
l = 15 + xJorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.
Therefore,
x = side of Jorge gardenThe ratios are as follows;
(15 + x)x : x²
Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:
(15 + 32)32 : 32²
1504: 1024
752: 512
376: 256
94:64
47: 32
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Answer:
(x+15)/x; 47/32