Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
The x-coordinate of the vertex of the graph of y = −2x2 − 4x + 12
Column #2
The x-coordinate of the vertex of the graph of y = x2 − 4x + 3
A. The value found in column #1 is greater than the value found in column #2.
B. The value found in column #1 is less than the value found in column #2.
C. The value found in column #1 is equivalent to the value found in column #2.
D. The relationship between column #1 and column #2 cannot be determined by the information given.
Answers
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
The equation of curve 1, which is in the shape of a parabola is, when represented in general form
[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]
So,
x+1=0
x= -1
and,
y = 14
Therefore, the Coordinate of a vertex is (-1,14).
The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.
The equation of curve 2 , which is in the shape of a parabola is , when represented in general form
[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]
So,
x-2=0
x= 2
and, y+1=0
y= -1
Therefore, the Coordinate of a vertex is (2,-1).
The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
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Related Questions
Find cot(theta) if tan(theta)=2 and 180°<(theta)<270°. ( 20 POINTS ) (Trigonometric Identities )
Answers
Answer:
Cot theta = 0.2
Step-by-step explanation:
[tex]180^\circ < \theta < 270^\circ[/tex]
So, theta is in the third quadrant
[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]
[tex]= \dfrac{1}{2}[/tex]
[tex]\sf Cot \ \theta = 0.5[/tex]
If $570 is invested at an interest rate of 4% per year and is compounded continuously, how much will the investment be worth in 10 years? Use the continuous compound interest formula: A = Pert.
$593.26
$655.66
$726.74
$850.34
Answers
Continuous compounding is the potentially endless number of periods in which compound interest may be calculated. The worth of the investment after a period of 10 years will be $850.34.
What is Continuous Compound Interest?Continuous compounding is the potentially endless number of periods in which compound interest may be calculated and reinvested into an account's balance.
[tex]\rm A = Pe^{rt}[/tex]
where,
A is the principal amount after t number of years,
r is the rate at which the principal is been compounded, and P is the principal amount.
Given the principal amount of $570 is invested for a period of 10 years, and at a rate of 4% per year, therefore, the worth of the investment after 10 years will be,
[tex]\rm A = \$570 \times e^{(0.04 \times 10)} = \$850.34[/tex]
Hence, the worth of the investment after a period of 10 years will be $850.34.
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What is the area of this shape?
Answers
The area of the composite shape in the image given is calculated as: 316 yd²
How to Find the Area of a Composite Shape?To find the area of a composite shape, find the area of each of the shape that makes up the figure, then add their areas together.
The area of the composite shape = area of big rectangle + area of small rectangle + area of big triangle + area of small triangle
Area of big rectangle = (length)(width) = (5 + 4)(8) = 72 yd²
Area of small rectangle = (length)(width) = (5)(4) = 20 yd²
Area of big triangle = 1/2(base)(height) = 1/2(12)(4+5+4+7) = 120 yd²
Area of small triangle = 1/2(base)(height) = 1/2(8+5)(16) = 104 yd²
The area of the composite shape = 72 + 20 + 120 + 104 = 316 yd²
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Use the axiomatic approach for vectors to prove the distributive law of vectors
Answers
Step-by-step explanation:
Find the HCF of 9m 80cm 8m 40cm 4m 20cm
What expression represents the volume of the cylinder, in cubic units?
Answers
Answer:
2πx3
Step-by-step explanation:
Bear weight loss during hibernation is extreme. Male black bears will typically drop between 17 to 29 percent of their body weight. Let x represent the percent of body weight loss for a male black bear. Suppose that clic follows a uniform distribution. Find the probability that the male will lose between 19.41 and 23.74 percent of their body weight.
Answers
Using the uniform distribution, it is found that there is a 0.3608 = 36.08% probability that the male will lose between 19.41 and 23.74 percent of their body weight.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
In this problem, male black bears will typically drop between 17 to 29 percent of their body weight, hence the bounds are a = 17 and b = 29.
The probability that the male will lose between 19.41 and 23.74 percent of their body weight is given by:
[tex]P(19.41 \leq X \leq 23.74) = \frac{23.74 - 19.41}{29 - 17} = 0.3608[/tex]
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anyone understand this?
Answers
Hope it helps.
230 is 12% of what number? Use proportion to find the answer.
Answers
Answer:
hello!!!
the answer is 1916.6
please read the explanation it always helps... trust me!
Step-by-step explanation:
alrighty so....
we what to find the number that when we take 12% of we get 230...
okay we have to switch things up in the percent formula since we dont have the total number just the percentage and the percent number itself (i hope that isnt confusing.. the math is easier tho)
230 x 100= 23000 --> 23000/12= 1,916.6
Answer:
1,916.67
Step-by-step explanation:
1230/12 = x/100.
12x= (230)(100).
12x=23000.
x= 23000/100
x = 1,916.67
−11 ≤ −5; Add 16 to both sides
The resulting inequality is:
Answers
Answer:
True, (-∞, ∞) 5 ≤ 11
Step-by-step explanation:
−11 ≤ −5 Add 16 to both sides
−11 + 16 ≤ −5 + 16
5 ≤ 11
Which statement best describes the function shown in the graph?
A. The function is positive when x > 1.
B. The function is positive for all values in the domain.
C. The function is positive when x > 0.
D. The function is positive when x > -5.
Answers
Answer:
B
Step-by-step explanation:
since domain should be in positive i thinks this should be answer B
a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?
Answers
Guys, I have a question.
Will I still pass if I got a C+ in terms 1, 2, and 3?
Because I got C+ in terms 1 and 2 and I'm scared to fail so can anyone tell me if I will fail or pass if I got a C+ in term 3, and motivate me and make me confident?
Answers
C+
if you get a C+ in term three and four then I don't think you will pass if you get a C+ in term three but get your grade up to B+ A- or A+ i term four you will and if you get in the B range for term 3 at least and keep it up in term four you will pass you just have to study and pay attention in class i believe in you. you can do it
How many edges does the following shape have?
Answers
Answer:
6
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE
Answers
Answer:
1:1
Step-by-step explanation:
What time will it be after these minutes have passed? 10 minutes
Answers
Answer:
21 minutes
Step-by-step explanation:
hope it helps you
a=-2(negative 2) b=3 and c=5 what is 3ac-a+2b.With explanation
Answers
Step-by-step explanation:
a = -2
b = 3
c = 5
Question:[tex]3ac - a + 2b[/tex]
= Solution,
= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3
here ... ( + ) × ( - ) = ( - )
= - 6 × 5 - ( - 2 ) + 2 × 3
here .... ( - ) × ( - ) = ( + )
= - 6 × 5 + 2 + 2 × 3
= - 30 + 2 + 6
= - 30 + 8
here the ( - ) have greater variable so...
= - 22
hence - 22 is the answer . ....
Can you help me please
Answers
From the figure given above, angel < ABE = 40°
Calculation of unknown angleThe angle of a straight line = 180°
That is angle <ABC = 180°
If <EBC is = 140°
Therefore, <ABE = 180 - 140
= 40°
Therefore, from the figure given above, angel < ABE = 40°
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Describe the end behavior of each function.
3) f(x) = -x^4+x^2 -x+1
Answers
Answer:
End Behavior is
y -> -inf as x -> -inf
y -> -inf as x -> +inf
Step-by-step explanation:
I am not sure if your teacher has explained how to look at the equation and determine the end behavior of that function without a graph. Here is a picture that explains it.
Can someone answer theese questions do all of them and I will give you brainily
1 .
What does each line on the protractor stand for?
five degrees
one-half of a degree
ten degrees
one degree
2 What part of the protractor do you line up with the vertex?
zero line
degree line
center mark
top of the protractor
3.
What is the first step in constructing an angle?
Make a mark at the number of degrees you want the angle to be.
Connect the endpoint and the mark at the angle measure
Draw a horizontal ray.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.
Answers
2. Not quite sure which answer you would align with this, but I do know the bottom edge has a point that’s always lined up with the vertex.
3. Make a mark at the number of degrees you want the angle to be.
Answer: i think is b
Step-by-step explanation: because I do read lesson so I guess I think is b that why.
Find the indicated measure in LMNQ. Explain your reasoning.
Answers
Answer:
In Exercises 9 − 16, Ind the indicated measure in a LMNQ. Explain your reasoning. m ∠ L M N Answer m ∠ L M N = 80 ∘ View Answer Discussion You must be signed in to discuss. AS Ahin S. February 11, 2021 Find m?LMN in parallelogram LMNQ AS Ahin S. February 11, 2021 Watch More Solved Questions in Chapter 7 Problem 1 Problem 2 Problem 3 Problem 4
Step-by-step explanation:
the perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth
Answers
Answer:
26 cm
Step-by-step explanation:
Formula for Perimeter
Perimeter = 2(Length + Width)Solving (given Perimeter is 84 cm and width is 16 cm)
84 = 2(Length + 16)42 = Length + 16Length = 42 - 16Length = 26 cmAnswer:
L= 26cm
Step-by-step explanation:
Perimeter= 2(l x w)
Perimeter= 84cm
Width= 16cm
Length=?
84= 2l + 32
2l = 84-32
2l= 52
L= 52/2
L= 26cm
need the answer asap
Answers
Answer:
The price for ounce is: $0.25 and she bought 16 ounces of straberris
Step-by-step explanation:
If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25
area of parellogram
pls help
Answers
Answer:
136
Step-by-step explanation:
simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,
lw = a.
This brings us to 8 × 17, which is 136.
PLSS HELP ME WITH THIS! 20 POINTSS!
Answers
Answer:
c
Step-by-step explanation:
convert 29/6 and 16/7 to fraction with denominator 42
Answers
answer is given below
29/6 = 203/42
16/7 = 96/42
to make the denominator 42 we use common tables for this just multiplying .
Answer:
the fractions are 203/42 and 96/42
Step-by-step explanation:
[tex]for \: \frac{29}{6} \\ \: multply \: the \: numerator \: and \: denominator \: by \: 7 \\ \frac{29}{6} \times \frac{7}{7} = \frac{203}{42} \\ for \: \frac{16}{7} also \: multiply \: the \: numerator \\ and \: denominatorby \: 6 \\ = \frac{16}{7} \times \frac{6}{6} = \frac{96}{42} [/tex]
Find the measure of
Answers
Answer:
Angles around a point sum to 360°
⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°
⇒ ∠SPT + ∠TPU = 60°
Therefore:
∠SPQ clockwise = ∠SPT + ∠TPU + 86°
= 60° + 86°
= 146°
∠SPQ anticlockwise = 60° + 154°
= 214°
Answer:
See below ~
Step-by-step explanation:
The total internal measure is 360°.
154° + 60° + 86 + ∠STP + ∠TUP = 360°2∠STP + 300 = 360°2∠STP = 60°∠STP = ∠TUP = 30°Finding ∠SPQ (clockwise):
2∠STP + 86°2(30) + 86146°Finding ∠SPQ (counterclockwise) :
360° - 146°214°1/2 x 1350 x 144 = 97200 J where did they get the 144 from?
Answers
Speed^2 or velocity^2 because 12x12=144
It's looks like the Kinetic energy equation:
KE = 1/2mv^2
Hope this helps!
identify the open intervals on which the graph of the function is concave upward or concave downward.
Answers
The concavity of the function in this problem is classified as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).When a function is concave up and when it is concave down?A function is said to be concave up when ts graph behaves like a portion of a parabola that opens upward.A function is said to be concave down when ts graph behaves like a portion of a parabola that opens upward.Hence the intervals are given as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).More can be learned about the concavity of a function at https://brainly.com/question/31402878
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Write an equation in standard form of the line
With slope 2/5 and going through (-3,6).
Answers
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]
[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]
In Autobiography by Abraham Lincoln and the Life of Abraham Lincoln by John Hugh Bowers, each author tells the same story about Lincoln's life, but they provide different_________.
A settings
B. dialogue
C. facts
