Answers
Answer:
b.) The graph's x-intercepts are similar to ½(x - 5)(x + 2).
a.) [-2, 0], [5, 0]
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b.) The graph has a maximum value because the graph opens down [-2 = A].
a.) [-3, -4]
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d) [0, -5]
c) -2 = x
b) [-2, -9] → [h, k]
a) -1, 5 = x
Explanation:
b) Both graphs have the binomial of [x - 5][x + 2], so the x-intercepts never altered.
a) Set the binomial equal to zero, and you will get your x-intercepts of [-2, 0] and [5, 0].
__________________________________________________________
b) When A is negative, your graph will have a maximum value [opens down], whereas when A is positive, your graph will have a minimum value [opens up].
a) According to the Vertex Formula, y = A[X - H]² + K, [H, K] represents the vertex, plus, -H gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL labeling your vertex. Additionally, K gives you the NORMAL TERMS.
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d) The y-intercept is your C-term, so in this case, it is [0, -5].
c) To find the axis of symmetry, use this formula:
[tex] \frac{-b}{2a} = x[/tex]
Whatever the opposite of your B-term is, you take that and divide it by twice your A-term.
b) To find the vertex, in this case, you have to go from Standard Form to Vertex Form by completing the square, using this formula to get part of your new C-term:
[tex][\frac{b}{2}]^{2} [/tex]
When done, you get this:
[tex]y = {x}^{2} + 4x + 4 \\ \\ y = [x + 2]^{2} [/tex]
Then, you have to deduct some number from 4 that gave you -5 in the first place, and that integer is -9. So, here is the result:
[tex]y = [x + 2]^{2} - 9[/tex]
From here, we can see that our vertex is [-2, -9].
a) When the binomial is set to equal to zero, you get this:
[tex]{x}^{2} + 4x - 5 \\ \\ [x - 1][x + 5] = 0 \\ \\ 1, \: -5 = x[/tex]
e) See above photograph
I am joyous to assist you anytime.
Related Questions
Patrick is constructing the circumscribed circle for △RST.
Which construction could be his first step?
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Construct the angle bisector of ∠T .
Construct a copy of ∠S that is adjacent to ∠R .
Construct the angle bisector of ∠R .
Answers
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Hope this helps !
Photon
The first step Patrick will take in the construction of a circumscribed circle for △RST is: Construct the perpendicular bisector of line segment ST.
What is a Circumscribed Circle of a Triangle?A circumscribed circle for a triangle can be defined as a circle is placed inside a polygon or triangle such that it touches all the sides of the triangle.
An example of a circumscribed circle of a triangle is shown in the image attached below.
Therefore, the first step Patrick will take in the construction of a circumscribed circle for △RST is: Construct the perpendicular bisector of line segment ST.
Learn more about circumscribed circle on:
https://brainly.com/question/15605172
what is the sum of (5xy + x - 8) and (13x + 2)
Answers
Combine like terms
5xy+14x-6
How was his payment
Answers
So he'll pay 630 over 8 equal payments
Divide: 630/8 = 78.75
His monthly payment is $78.75
My teacher says everything is there to answer this question but I don't know. Someone please explain.
Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.
How far do they walk and at what time do they reach the top of the hill?
Answers
A level mile takes 1/4 of an hour (15 minutes). An uphill mile takes 1/3 of an hour (20 minutes). A downhill mile takes 1/6 of an hour (10 minutes). So, to go and return over the same mile takes half an hour. This means that in 6 hours, they went 12 miles and came 12 miles back. So they went a total of 24 hours.
If the 12 miles had been all level, it would have taken approximately 3 hours. It the 12 miles had been all uphill, it would have taken approximately 4 hours. When reaching the peak, 3.5 hours would have been the approximate time it took them to reach the top since it is in between.
this property says that xa divided by xb equals xa-b
Answers
Answer: Quotient rule of division
Explanation:
In this question, a & b are the exponent of the x.
We know that division is the opposite operation of the multiplication.
Quotient rule division: We subtract the exponent (power) when we dividing the numbers with same base..
Here same base means numerator (top) and denominator (bottom) contain same number and exponent (power) of both numerator and denominator are same or different.
For example: [tex] \frac{5x^{8}}{5x^{6}} [/tex]
Here base 5 is same and exponent are different.
It is same as 5⁸⁻⁶ = 5³ = 125
Now given that,
[tex] \frac{x^{a}}{x^{b}} [/tex] = [tex] x^{a-b} [/tex]
The isosceles trapezoid is part of an isosceles triangle with 38 vertex angle. what is the measure of an acute best angle of the trapezoid? what is the measure of an obtuse base angle of the trapezoid?
Answers
.. 90° -(38°/2) = 71°
The obtuse base angle of the isosceles trapezoid is the supplement of this,
.. 180° -71° = 109°.
Final answer:
The acute base angles of the isosceles trapezoid are each 71 degrees, and the obtuse base angles of the trapezoid are each 109 degrees.
Explanation:
The task is to determine the measure of the acute and obtuse base angles of an isosceles trapezoid that is part of an isosceles triangle with a vertex angle of 38 degrees.
By the isosceles triangle theorem, the angles opposite the equal sides are equal. Since the vertex angle of the isosceles triangle is given as 38 degrees, the base angles of this triangle must be equal. Since the sum of the angles in any triangle must be 180 degrees, we could set up the equation:
38 + 2B = 180
where B represents the base angle of the isosceles triangle. Solving for B gives us:
B = (180 - 38) / 2
B = 71 degre
Each base angle of the isosceles triangle is 71 degrees.
The acute base angles of the trapezoid are also the base angles of the isosceles triangle, so they are 71 degrees each. To find the obtuse base angles of the trapezoid, we note that they are supplementary to the acute base angles. Hence:
Obtuse base angle of trapezoid = 180 - 71
= 109 degrees
Write the polynomial −11x^3 − 2 − 9x^5 − 4x^2 − 6x^4 − 14x in standard form. Then give the leading coefficient. HELP ASAP!
Answers
− 9x^5− 6x^4 −11x^3− 4x^2− 14x − 2
the leading coefficient refers to the coefficient of the highest degree, which is -9 in this case.
Writing a polynomial is standard form means arranging them accordingly, in descending power form:
-11x³ - 2 - 9x⁵ - 4x² - 6x⁴ - 14x
The highest power is 5, now we should arrange in decreasing manner
-9x⁵ - 6x⁴ - 11x³ - 4x² - 14x - 2
The leading coefficient is -9
describe the transformation of the following function y=tan(2x-pi)
Answers
[tex]\bf \bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)[/tex]
with that template in mind, let's check this one,
[tex]\bf y=tan(\stackrel{B}{2}x\stackrel{C}{-\pi })\\\\ -------------------------------\\\\ \textit{horizontal shift of }\cfrac{C}{B}\implies \cfrac{-\pi }{2},\textit{ so of }\frac{\pi }{2}\textit{ to the right} \\\\\\ \textit{horizontal shrinkage of }B\implies 2, \textit{so by }\frac{1}{2}[/tex]
if xy=c^2, prove that x^2 dx/dy+c^2=0
Answers
xy=c²==>y=c²/x
==>y'=dy/dx=-c²/x²==>x² dy/dx+c²=0 (there is a mistake)
A polygon has 8 sides. What is the sum of its interior angles? use formula
s = ( n - 2 ) (180°)
A. 1260°
B. 720°
C. 1620°
D. 1080°
Correct answer will be rewarded with full points as well as the mark of the brainliest
Answers
.. s = (8 -2)(180°)
.. s = 1080°
Selection D is appropriate.
_____
Put the number into the formula where the corresponding variable is, then do the arithmetic. A calculator can do the arithmetic for you, if necessary.
Determine whether the equation defines y as a function of x. y = 2x + 8
Answers
y = 2x + 8
for x=1-----------> y=2*1+8=10
for x=2-----------> y=2*2+8=12
for x=3-----------> y=2*3+8=14
.
.
.
the equation y = 2x + 8 ----------- > defines y as a function of x, because for each x there is only one value of y.
the answer is
yes, the equation y = 2x + 8 defines y as a function of x
which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
Answers
Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence[tex]a_n=4n-7[/tex] , the parameter [tex]n[/tex] must to be a integer.
Second, we need to solve the equations by [tex]n[/tex].
[tex]n=(a_n+7)/4[/tex]
All the option in the problem represent an [tex]a_n[/tex]
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)
[tex]n=(29+7)/4=9\\[/tex]
For B)
[tex]n=(21+7)/4=7\\[/tex]
For C)
[tex]n=(20+7)/4=6.75\\[/tex]
For D)
[tex]n=(28+7)/4=8.75\\[/tex]
Only A) and B) only A and B meet the requirement
answer asap which equation could have been used to create this function table?
A.
y = x + 5
B.
y = 5x
C.
y = x + 4
D.
y = 4x
Answers
If you plug it in
1 + 4=5
6 + 4 = 10
8 + 4 = 12
and so forth
30 POINTS + BRAINLIEST.. PLEASE CHECK MY ANSWER
Answers
Good job!
Answer:
you are correct good job
Using the fafsa, you can apply for
Answers
FAFSA stands for Free Application for Federal Student Aid. it is used to apply for student loans, grants, and scholarships sometimes.
I will go to the mall if and only if I get paid today.
Determine the conditions that will make the biconditional true.
A. It is true if I go to the mall and I get paid. It is true if I go to the mall and I don’t get paid.
B. It is true if I go to the mall and I get paid. It is true if I don’t go to the mall and I don’t get paid.
C. It is true if I go to the mall and I don’t get paid. It is true if I don’t go to the mall and I don’t get paid.
D. It is true if I go to the mall and I get paid. It is true if I don’t go to the mall and I get paid.
Answers
Final answer:
The correct answer is Option B, covering both true-true and false-false scenarios.
Explanation:
To determine the conditions that make the biconditional statement true, let's analyze it step by step. The statement in question is: "I will go to the mall if and only if I get paid today." A biconditional statement is true in two scenarios: both parts are true or both parts are false.
Looking at the options provided:
Option A is incorrect because if the statement is true, I cannot go to the mall without getting paid.Option B is correct because it encompasses both scenarios where the biconditional statement holds true: If I go to the mall, then I must have gotten paid, and if I don’t go to the mall, then I must not have gotten paid.Option C is incorrect because according to the biconditional, I cannot go to the mall unless I have been paid.Option D is incorrect because if I don’t go to the mall, it must mean that I didn't get paid, which is not covered in this option.Therefore, the correct answer is Option B: It is true if I go to the mall and I get paid today. It is also true if I don't go to the mall and I don't get paid today. This matches the requirements of a biconditional statement where either both conditions are true or both are false.
find the circumferences
Answers
so... notice, the larger green circle, has a radius of 22.
now, the blue smaller circle, is taking up half of the diameter of the green one, so, the diameter for the small one is 22, and its radius is half that, or 11.
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\\\\ -------------------------------\\\\ \stackrel{\textit{large green circle}}{C=2\cdot \pi \cdot 22}\implies C=44\pi \qquad\qquad \qquad \stackrel{\textit{small blue circle}}{C=2\cdot \pi \cdot 11}\implies C=22\pi [/tex]
A land mass is roughly in the shape of a rectangle whose perimeter is 1180 miles. the width is 110 miles less than the length. find the length and the width?
Answers
Explanation:
1) Shape: rectangle
2) dimensions:
length = l
width = w
3) Formula of the perimeter of a rectangle, p = 2 * l + 2 * w
4) Data:
p = 1180 miles
length = x
width = x - 110 miles
5) Equation: p = 2x + 2(x - 110)
2x + 2(x - 110) = 1180
2x + 2x - 220 = 1180
4x = 1180 + 220
4x = 1400
x = 1400 / 4
x = 350
=> length = 350
and width = 350 - 110 = 240
6) Verification:
p = 2*length + 2 * width
1180 = 2 * 350 + 2*240
1180 = 700 + 480
1180 = 1180 => check.
Answer: length = 350 miles, widht = 240 miles
A company's advertising budget is split between newspaper ads, magazine ads, television ads, and Internet ads. The company spends the same amount of money on newspaper and magazine ads. It spends 4 times the amount of money on television ads as it does on newspaper ads. It spends 2 times the amount of money on Internet ads as newspaper ads. If the budget is $22,000, how much money is spent on magazine ads?
Answers
2,750+2750=(2750x4)+(2750x2)=22,000
Answer:
2,750+2750=
2750 x 4+2750 x 2=
22,000
Step-by-step explanation:
Can someone explain to me how this problem is solved? Thanks.
The height of a coconut falling from a tree is represented by the function h(t)=-16t^2+24 where h(t) is the height of the coconut, in feet, and t is time, in seconds
what is the initial height, in feet, of the coconut?
Answers
h(0)=-16(0)^2+24 = 24 feet. Therefore, the initial height of the coconut is 24 feet
Please guys help me with this question!
Answers
A homeowner has 60 feet of fencing material to enclose a rectangular area for his pets to play in. One side of the house will be used as a side of the play area. What deminsions should be used in order to maximize the play area?
Answers
2x+l=60
⇒l=60-2x
The area of the house will therefore be:
A=length*width
A=x(60-2x)
A=60x-2x²
differentiating A w.r.t x we get
dA/dx=60-4x
equating the above to zero and solving for x we get
60-4x=0
hence
4x=60
⇒x=60/4
x=15
this implies that one of the sides of the area is 15 ft and the other is 30 ft
Answer:
i just want to say that the answer above is correct 15 ft by 30 ft is the write answer
Step-by-step explanation:
i just took my test and got it right
help:
quadrilateral ABCD is located at A(-2,2) B(-2,4) G(2,4) D(2,2). the quadrilateral is then transformed using the rule (x+2,y-3) to form the image A'B'C'D'. what are the new coordinates of of A'B'C'D'? describe what characteristics you would find if the corresponding vertices were connected with line segments.
Answers
In order to find the new coordinates, you need to take the given x and add 2 and the given y and subtract 3.
Therefore:
A' (-2+2 , 2-3) --> (0,-1)
B' (-2+2 , 4-3) --> (0,1)
C' (2+2 , 4-3) --> (4,1)
D' (2+2, 2-3) --> (4,-1)
Since the quadrilaterals ABCD and A'B'C'D' are rectangles, connecting the corresponding vertices would give you a parallelepiped, which means that AA', BB', CC', DD' are parallel and congruent segments.
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
Answers
y = -6(x^2 - 0.5x) + 2
y = -6[ (x - 0.25)^2 - 0.0625] + 2
y = -6(x - 0.25)^2 + 2.375 Answer
Answer:
c
Step-by-step explanation:
if a sample of 21 runners were taken from a population of 580 runners, μ could refer to the mean of how many runners times?
Answers
Answer:
the answers is 580
PLEASE HELP
Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation.
[tex]y=log_{2}x[/tex]
WILL MARK AS BRAINLIEST
Answers
- for x=[tex] \frac{1}{2} [/tex], [tex]log x_{2} ( \frac{1}{2} )=-1[/tex]. Now we have our first ordered pair: [tex]( \frac{1}{2} ,-1)[/tex]
- for [tex]x=1[/tex], [tex]log_{2} (1)=0[/tex] which gives us our next ordered pair: [tex](1,0)[/tex]
- for x=2, [tex]log_{2} (2)=1[/tex], so (2,1)
- for x=4, [tex]log_{2} (4)=2[/tex], so (4,2)
- for x=8, [tex]log_{2} (8)=3[/tex], so our last order pair is (8,3)
Finally we can plug the points and joint them to create our graph:
Answer:
Warning the guy above is correct just make sure you count each line as 1,2,4,8. On the graph if you count the bold big lines for the domain you will run out of room for the last domain for 8. Like the person above did.
Step-by-step explanation:
twelve inches longer than width
Answers
w+12
*longer indicates addition
PLEASE HELP ME WITH THIS
Answers
states a^2 + b^2 = c^2
given triangle:
5^2 + 13^2 = 14^2
25 + 169 = 196
194 = 196 False so it isn't a right triangle
since C^2 (196) is greater than a^2 +b^2 (194)
the triangle would be Obtuse
if a and b are independent events then it must be true that P(A|B)=P(A) TRUE OR FALE
Answers
Because two events A and B are called independent if P(A|B)= P(A), i.e., if conditioning on one does not effect the probability of the other.
Ann buys a dress in a sale. The normal price of the dress is reduced by 20%. The normal price is £36.80. Work out the sale price!
Also explain how you calculated it ...
Answers
Let's do this step by step!
#1
"Reducing" means to make something smaller, like a discount. So we are reducing the price of the dress by 20%. This means we must first find what 20% of the dress's price is and then subtract that from the price.
#2
36.80 * 20% = 7.36
So, 20% of 36.80 is 7.36. Subtract that:
#3
36.80 - 7.36 = 29.44
Answer:
The sale price of the dress is $29.44.
Good day!