compare the x-intercepts for the two linear functions represented in the table below. which of the following statements is true?
Answers
• Given Function A:
[tex]-4x+2y=-2[/tex]You need to remember that, by definition, the value of "y" is zero when the function intersects the x-axis.
Therefore, you need to set up that:
[tex]y=0[/tex]Substitute this value into the function and then solve for "x", in order to find the x-intercept:
[tex]\begin{gathered} -4x+2(0)=-2 \\ -4x=-2 \\ \\ x=\frac{-2}{-4} \\ \\ x=\frac{1}{2} \end{gathered}[/tex]• Given that Function B passes through these points:
[tex](0,-1),(3,2)[/tex]You need to determine the equation of the line, in order to find the x-intercept using it.
The Slope-Intercept Form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
By definition, the value of "x" is zero when the function intersects the y-axis. Therefore, knowing the first point given in the exercise (whose x-coordinate is zero), you can determine that, for this line:
[tex]b=-1[/tex]Substitute "b" and the coordinates of the second point into this equation:
[tex]y=mx+b[/tex]And then solve for "m":
[tex]\begin{gathered} 2=m(3)-1 \\ 2+1=3m \\ \\ \frac{3}{3}=m \\ \\ m=1 \end{gathered}[/tex]Therefore, the equation of Function B in Slope-Intercept Form is:
[tex]y=x-1[/tex]Now you can find the x-intercept by using the procedure used for Function A:
[tex]\begin{gathered} 0=x-1 \\ x=1 \end{gathered}[/tex]You know that:
[tex]\frac{1}{2}<1[/tex]Hence, the answer is: Third option.
Related Questions
Ivan borrowed money from a credit union for 5 years and was charged at an annual rate 9% .The total interest that he paid was $2700.How much money did he borrow
Answers
The formula to calculate the total interest paid is:
[tex]I=P((1+r)^n-1)[/tex]Where:
• I, is the total interest paid
,• P, is the amount borrowed
,• r, is the interest rate
,• n, is the times that the interest was compounded
Solving this formula for P,
[tex]\begin{gathered} I=P((1+r)^n-1) \\ \\ \Rightarrow P=\frac{I}{(1+r)^n-1} \end{gathered}[/tex]Using the data given,
[tex]\begin{gathered} P=\frac{2700}{(1+\frac{9}{100})^5-1} \\ \\ \Rightarrow P=5012.77 \end{gathered}[/tex]Therefore, we can conclude that he borrowed $5,012.77
Which of the following functions translates the graph of the parent function f (2) = 2? left 2 units?
Answers
f (x) = x^2, translated left ,2 units
Is a parabola
Vertex is at (0,0)
left translation is (x +2)
(-2 + 2)= 0
Then answer is
Option A ) h(x)= (x+2)^2
PLEASE HELP!
What is the value of (−14)3 when evaluated?
A. −2,744
B. −196
C. 42
D. 2,744
Answers
Answer:
−2,744
Step-by-step explanation:
What is the value of [tex](-14)^{3}[/tex] when evaluated?
A. −2,744
B. −196
C. 42
D. 2,744
If a location on a graph has an indegree of 5 and an outdegree of 10 what is the total degree?
Answers
The total degree when the indegree is 5 and the outdegree of 10 is 15.
The number of head ends next to a vertex is referred to as the vertex's indegree, and the number of the tail ends next to a vertex is referred to as the vertex's outdegree (called branching factor in trees).
The location on a graph has an indegree of 5 and an outdegree of 10.
The sum of the indegree and the outdegree is the total degree of the vertex. The indegree is written as deg−(x) and the outdegree is written as deg+(x).
The total degree will be:
= indegree + outdegree
= deg⁻(x) + deg⁺(x)
= 5 + 10
= 15
The total degree is the sum of in and outdegree is 15.
Learn more about indegree and outdegree here:
brainly.com/question/14762334
#SPJ9
–26.1 as a mixed number.
Answers
Answer:
-26 [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
.1 as a fraction is 1/10
Answer:
________________________________________________
Step-by-step explanation:
______________________________________________________________________________________________
Solve the compound inequality.
x + 6 <0 or 6x > - 18
Answers
Answer: 6x - 18 = 6 • (x - 3)
Step-by-step explanation: Pulling out like terms
7. What is the equation of the line in slope intercept
form that passes through (6,8) and (-2,4)
Answers
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{6}}} \implies \cfrac{ -4 }{ -8 } \implies \cfrac{ 1 }{ 2 }[/tex]
[tex]\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}{8}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{6}) \\\\\\ y-8=\cfrac{ 1 }{ 2 }x-3\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x+5 \end{array}}[/tex]
11. What is the least common
70 ?
multiple of 30, 40, and
Answers
Answer:
i think 840 i searched it up
Step-by-step explanation:
What is greater 1.0079 or 100.8
Answers
Answer:
100.8 is the correct answer
Answer:
100.8
Step-by-step explanation:
100.8 > 1.0079
1. The polynomial function F(x) = x² + 6x + 8 has a known factor of (x + 4). Rewrite F(x) as a product of
linear factors.
Answers
Answer:
f=12
Step-by-step explanation:
F(4) = 4^(2) + 6(4) + 8
4 x 10 to the power of 5
Answers
Answer:
400000
Step-by-step explanation:
Have a Good Day!
HELP PLEASE
Which one of the following absolute value equations and inequalities have a solution set that is NOT the empty set?
O |2x-51|-3 = -2
O |5x-1| +8 < 6
O 3|x-4|+5 < 4
O 2|x + 7| +3 = 2
Answers
For the given absolute value equations and inequalities the following have solution set which is not empty set.
a. |2x-51|-3 = -2 has solution set x = 25 or 26.
b |5x-1| +8 < 6 has empty set.
c. 3|x-4|+5 < 4 has empty set.
d. 2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.
As given in the question,
Solution set of the absolute value equations and the inequalities are as follow:
a. |2x-51|-3 = -2
⇒ |2x-51| = -2+3
⇒ |2x-51| = 1
⇒ 2x -51 = 1 or 2x -51 = -1
⇒ 2x = 52 or 2x = 50
⇒ x= 26 or 25
Solution set is x = 25 or 26.
b. |5x-1| +8 < 6
⇒|5x-1| < -2
⇒5x -1 < -2 or 5x -1 > 2
⇒ x< -1/5 or x > 3/5
Empty set.
c. 3|x-4|+5 < 4
⇒3|x-4| < -1
⇒x -4 < -1/3 or x -4 > 1/3
⇒ x< -11/3 or x > 13/3
Empty set.
d. 2|x + 7| +3 = 2
⇒2|x + 7| = -1
⇒|x + 7| = -1/2
⇒ (x+7) = -1/2 or (x+7) = 1/2
⇒x= -15/2 or -13/2
Solution set is x= -15/2 or -13/2.
Therefore, For the given absolute value equations and inequalities the following have solution set which is not empty set.
a. |2x-51|-3 = -2 has solution set x = 25 or 26.
b |5x-1| +8 < 6 has empty set.
c. 3|x-4|+5 < 4 has empty set.
d. 2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.
Learn more about absolute value here
brainly.com/question/1301718
#SPJ1
Somebody help!!!!! I don’t know the answer
Answers
Given expression
[tex][(\cfrac{20}{5}*\cfrac{1}{5})^{-1}]^2[/tex]Step 1Simplify the parenthesis:
[tex][(\cfrac{20}{5}*\cfrac{1}{5})^{-1}]^2=[(\cfrac{4}{5})^{-1}]^2[/tex]Step 2Apply the negative exponent rule:
[tex]a^{-1}=1/a[/tex][tex][(\cfrac{4}{5})^{-1}]^2 = [(\cfrac{5}{4})^{1}]^2[/tex]Step 3Apply the product of a power rule:
[tex](a^b)^c=a^{bc}[/tex][tex](\cfrac{5}{4}})^{1*2}=(\cfrac{5}{4}})^2[/tex]Step 4Apply product of the product law:
[tex]a^2=a*a[/tex][tex](\cfrac{5}{4}})^2=(\cfrac{5}{4}})^(\cfrac{5}{4}})=\cfrac{25}{16}[/tex]find 9th term for 2,5,8,11
Answers
Answer: 26
Step-by-step explanation:
2+3=5
5+3=8
8+3=11
11+3=14
14+3=17
17+3=20
20+3=23
23+3=26
Tell which definition, postulate, or theorem gives the justification.
- Geometry
Answers
The condition m∠GLA + m∠ALD = m∠GLD is proved by the Angle Addition Postulate.
What is termed as the Angle Addition Postulate?According to the Angle Addition Postulate, the measure of an angle made of two angles adjacent to each other is the sum of the two angles' measures. The Angle Addition Postulate can be employed to compute the angle formed by two or more angles, as well as to compute the assessment of a missing angle. The Angle Addition Postulate states that if two angles are placed side by side, the measure of a resulting angle would be equal to the sum of the original two angle measures. This postulate requires that the vertices, that are the angle's corner points, be placed together.For the given question;
A is the interior angle of ∠GLD.
m∠GLA + m∠ALD = m∠GLD is proved by the Angle Addition Postulate.
To know more about the Angle Addition Postulate, here
https://brainly.com/question/4208193
#SPJ13
(30 points) Circle A is____ to circle B.
A. Tangent
B. Concentric
C. Coplanar
D. Congruent
Answers
Answer:Co planar
Step-by-step explanation:
There are different types of relation between circles,
Congruent circles: Two circles are congruent to each other if they have same size( radius, diameter or circumference).
Concentric circles: If two circles have the same center,
Co planar : When the two circles lie on the same plane.
Tangent circle : Circles in a common plane that intersect in a single point.
⇒ They are only co-planer circles.
f(x)=-3x+12find f(-6)
Answers
Answer:
f(-6)=18d
Step-by-step explanation:
Answer:
-3x-72f
Step-by-step explanation:
work it out pleasee :)
Answers
Answer:
18
Step-by-step explanation:
18 is the HCF of 36 and 90 , then
[tex]\frac{36}{90}[/tex] ( divide numerator/ denominator by 18 )
= [tex]\frac{2}{5}[/tex] ← in simplest form
Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with an $8,000 total annual operational cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? A = P (1 + r) superscript t
Answers
It will take 3 years for Korey to see an overall profit in his business.
What is a percentage?A percentage is a number or ratio that represents a fraction of 100.
We have,
Cost of the store to open = $12500
Cost of the operational cost = $8000
Profit store makes each year = $12000
Profit increase each year = 6%
Profit = Income - Total cost
First-year:
Profit = 12000 - (12500 + 8000) = -8500
There is no profit in the first year.
2nd year:
Profit = 2 x (12000 + 6% of 12000) - (12500 + 2 x 8000)
= 25440 - 28500
= -3060
There is no profit in the second year.
Third-year:
Profit = 3 x (12000 + 6% of 12000) - (12500 + 3 x 8000)
= 38160 - 36500
= 1660
We see that there is a profit of 1600 in the third year.
Thus,
It will take 3 years for Korey to see an overall profit in his business.
Learn more about percentages here:
https://brainly.com/question/14772302
#SPJ1
Thank you to who ever answers this question. Have a good rest of your day!
Answers
Answer:
Step-by-step explanation:
Answer: HI! I believe that the answer would be this symbol (I put it below)
>
Step-by-step explanation:
So sorry if this is wrong
Blank x – 18 = 3( – x – 6 )
Answers
We expand the bracket :
3(-x - 6) = 3 x (-x) - (3 x 6)
= -3x - 18.
So, we have :
___ - 18 = -3x - 18
Add 18 to both sides :
___ = -3x
=> The quantity we need to find is -3x.
From 1969 through 1977, there were 24 teams in Major League Baseball, and only 4 made the playoffs
each year. Now, there are 30 teams, and 10 make the playoffs. Find the ratio of teams making the
playoffs to those not making the playoffs in 1969 and today.
Answers
The 1969 Major League Baseball season was contested from April 7 to October 16, 1969. It included the third Major League Baseball expansion of the decade, with the Kansas City Royals, Montreal Expos, San Diego Padres, and Seattle Pilots each beginning play this season. The season was also celebrated as the 100th anniversary of professional baseball, honoring the first professional touring baseball team, the Cincinnati Red Stockings of 1869.
This was the first season of the "Divisional Era". With each league expanding from 10 teams to 12 teams, both leagues were divided into two six-team divisions. Teams continued to play 162-game schedules, in place since 1962, by now playing the other five teams in their own division 18 times each (90 games) and playing the six teams in their league's other division 12 times each (72 games). The winners of each division would advance to the postseason and face each other in a League Championship Series, then a best-of-five series, to determine the pennant winners that would face each other in the World Series.
The Baltimore Orioles won the AL East with an MLB-best 109–53 record, and then defeated the AL West champion Minnesota Twins in three games in the first American League Championship Series. The New York Mets won the NL East division with an NL-best 100–62 record, and then defeated the NL West champion Atlanta Braves in three games in the first National League Championship Series. The "Miracle Mets", having joined the league in 1962, were the first expansion team to win a pennant.
The upstart Mets went on to upset the heavily favored Orioles in the World Series, four games to one, in what is considered one of the greatest upsets in World Series history.[1]
HOPES THIS HELPS :D
An airplane flies with a constant speed of 804 miles per hour. How far can it travel in 3 hours?
Answers
The distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.
What is meant by the speed of the body?The distance moved per unit of time is referred to as speed. It is the rate at which an object moves. The magnitude of a velocity vector is represented by the scalar quantity speed. It lacks a sense of direction. A higher speed indicates that an object moves faster. Lower speed indicates that it is moving more slowly. It has zero speed if it is not moving at all.The formula: is the most common method to count the constant speed of an object traveling in a straight line.The formula for speed is;
Speed = distance/ time
s = d/t
For the given question,
An air plane flies with a constant speed of 804 miles per hour.
speed 's' = 804 mi / hour.
Time 't' = 3 hours.
Put the values in formula.
804 = d/3
d = 804×3
d = 2412 miles
Thus, the distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.
To know more about speed of the body, here
https://brainly.com/question/18870523
#SPJ13
The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Use the figure to complete the sentence. (4 points)
∠3 and ____ are alternate interior angles.
∠2
∠6
∠5
∠8
Answers
Answer:
∠5
Step-by-step explanation:
If Im not mistaken with the order of angles, ∠5 is the answer because they are both angles in the middle of he transversal making them interior angles, then alternate is pretty self explanatory.
In the figure above, ABCD is a square. What is the value of x?
Answers
Answer:
6x-1 is x=-1
5x+7 is x=7
Step-by-step explanation:
please help trying to do a test
(x + 1) a factor of 2x ^ 4 - 9x ^ 3 - 20x ^ 2 + 147x - 180 Find out by using the Factor theorem.
Answers
Answer:
Step-by-step explanation:
4
Which expression can be used to check the answer to 56÷(-14)= -4?
Answers
the given expression is,
56 /(-14)
[tex]\begin{gathered} =\frac{56}{-14} \\ =-4 \end{gathered}[/tex]so the answer is -4.
you can check the answer
by multiplying the (-14) to -4,
[tex]\begin{gathered} \frac{56}{-14}=-4 \\ 56=-14\times-4 \\ 56=56 \end{gathered}[/tex]LHS = RHS so we use the expression -14 x -4 to check the answer.
Blank x + 16 + x = – 3 x – 4
Answers
The value of x from given linear equation is -4.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For example, 2x+3=8 is a linear equation having a single variable in it.
Given that x + 16 + x = – 3 x – 4
To find the value of x solving the given linear equation
x + 16 + x = – 3 x – 4
⇒ 2x + 16 = -3x - 4
⇒ 2x + 3x = -4 -16
⇒ 5x = -20
⇒ x = -20/5
⇒ x = -4
To learn more about linear equations in one variable visit:
brainly.com/question/17139602
#SPJ1
Answer them please. I need help ASAP!!!!!
Answers
Answer:
A. -26, -12.7, -9/2, 2/100, 7, 11 1/4, 41/2, 35
B. |-12.7| = 12.7, |-11 1/4| = |-45/4| = 45\4
B Optional 45/4 = 11.25 as decimal form
Step-by-step explanation:
For the mixed fractions you have to divide it. For the whole fraction
11 1/4
1. 11 x 4=44
Then add the 1. 44+1=45
The denominator doesn't change
45/4 then divide if it ask for the decimal form which is 11.25.
I'm not entirely sure of the answers. Good luck :)
9, y = |x-1 table of values?
Answers
From absolute value we get the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1
What is absolute value?
The non-negative value of x, regardless of its sign, is referred to as the absolute value or modulus of a real number in mathematics and is denoted by the symbol |x|. For example, displaystyle |x|=x if x is a positive number, displaystyle |x|=-x if x is a negative number, and displaystyle |0|=0 otherwise.
Given y = |x - 1|
When x = 0, we get
y = |0 - 1|
=> y = |-1| = 1
When x < 0, we get
y > 1, as absolute value always give positive value
When x = 1, then we get
y = 0
When x > 0, then we get
y > 1.
Therefore, the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1
To learn more about absolute value from the given link
https://brainly.com/question/24368848
#SPJ9
