Find the rate of change of the linear function shown in the graph. Then find the initial value.
Answers
rate of change is change in y / change in x
(-1 - -3)/ (0 - -6) = 2/6 = 1/3
initial value is the y value when x is 0 , which is -1
Related Questions
n + 7
------- = 2
13
Answers
Answer:
19
Step-by-step explanation:
(n+7)/13 = 2 [given]n+7=26 [multiply both sides by 13]n=19 [subtract 7 from both sides]Solve |x — 6| = 8.
X
OA.
A. x 14 and x = -2
X=
OB. x = -14 and x = 2
OC. x =
14 and x = -14
D. x =
-14 and x = -2
Answers
x = 14 and x = -2
===========================================
Work Shown:
[tex]|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\[/tex]
-------------
Checking the answer x = 14
[tex]|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\[/tex]
That solution is confirmed.
Repeat for x = -2
[tex]|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\[/tex]
The second solution is confirmed.
Answer: A. x = 14, x = -2
Step-by-step explanation:
|x-6| = 8
this means x = 6+8 and x = 6-8
therefore, x = 14, x = -2
Which expression is equivalent to the one below? (x2y)(x4y3) xy2
Answers
The expression which is equal to the expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] is as [tex]x^{7} y^{6}[/tex].
Given Expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] and we have to find the expression equal to this.
Two variables are present in the given expression x and y but both are in different form or powers.
x is having power 2 , 4 and 1 so because the base is same for all and they are in multiplied form so we will add the powers to form [tex]x^{4+2+1}\\[/tex]
=[tex]x^{7}[/tex]
Now y is having 1,3,2 powers so because the base is same for all and they are in multiplied form so we will add all the powers to form [tex]y^{6}[/tex]
Now multiply both to get the required expression which is [tex]x^{7} y^{6}[/tex].
Hence the expression which is equal to the given expression is [tex]x^{7} y^{6}[/tex].
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Explain the difference between area and volume.
a. Area is a measurement of the distance around an object, while volume measures the amount of two-dimensional space inside an object.
b. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object represents the distance around it.
c. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object is a measurement of how much 2-dimensional space it has.
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Answers
Answer:
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Step-by-step explanation:
The difference between area and volume...
Area is expressed in square units (²), measured in 2D (length × width). Volume is expressed in cubic units (³), measured in 3D (length × width × depth).A. INCORRECT,
Area is not a measure of distance around an object that is perimeter. Volume = length × width × depth making it a 3D space inside an object NOT 2DB. INCORRECT,
Area of an object is not 3D space is inside, rather this is volumeVolume of an object represents the distance around it is not true, this is describing perimeterC. INCORRECT,
Area of an object is the amount of 3D space is is for volume not areaVolume of an object is a measurement of 2D space which not trueD. CORRECT,
Area of an object measures is a 2D space it occupies, length × widthVolume represents the amount of space inside a 3D object, length × width × depthLearn more about Area and Volume here: https://brainly.com/question/14306303
r,u,t,s are positive
RXS=15
SXT=3
TXV=7
RXV=??
Answers
The value of RXV = 35.
What are system of equation ?A set of equation which have common factor that satisfies them are called system of equations.
It is given that
RXS=15
SXT=3
TXV=7
RXV=??
RX = 15/S
S = 3/XT
XT = 7/V
On solving we get
RX = 15 * XT/3
RX =15 *7/3 V
RXV = 35
Therefore the value of RXV = 35.
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The graph represents a pair of equations. What point represents the solution to the pair of equations?
Answers
Answer:
if I'm correct it's where the 2 lines meet, which would mean the answer to be (-3,2)
Step-by-Step Explanation:
• The Solution to this Pair of Linear Equations will be the point of intersection of the 2 Lines.
• The x-coordinate or the value of ‘x’ will be -3, and the y-coordinate or the value of ‘y’ will be 2. This can be written in an ordered pair as (-3, 2)
=> More to Know :-
• The graph of a pair of linear equations that have a unique solution will always have lines that intersect.
• If the pair of linear equations have no solution, the lines will not meet at any point and if they have infinite solutions, the lines will coincide on each other.
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Answers
The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.
Complete questionJames surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male" and "buys lunch" are not independent because
How to determine the probability?The number of male students is:
Male = 46 + 176
Male = 222
The number of female students is:
Female = 254 + 264
Female = 518
The total student is:
Total = 222 + 518
Total = 740
Next, calculate the probability of selecting a male student
P(Male) = 222/740
P(Male) = 0.3
Of all the 440 that buy lunch, 176 are male,
So, we have:
P(male | buy lunch) = 176 / 440
P(male | buy lunch) = 0.4
Because
P(male | buy lunch) and P(male) are not equal.
Then, the events "male” and "buys lunch” are not independent
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Hi! So, I know I got this answer wrong, but I wasn't sure how to solve an equation with signs like: [brackets] in it, I've included my problem as an example, but can someone please teach me what those brackets mean, and how do I go about solving an equation (using this problem as an example) with brackets like these?
Answers
Step-by-step explanation:
Brackets is the bigger version of parentheses, you first solve the questions inside the parentheses, then move onto brackets.
For example, this question:
[tex]x=-1\\y=-2\\z=3[/tex]
[tex]5x-y[7-4(z-y)][/tex]
plug in x, y, and z.
[tex]5(-1)-(-2)[7-4(3-(-2))][/tex]
[tex]5(-1)-(-2)[7-4(5)][/tex]
[tex]5(-1)-(-2)[7-20][/tex]
[tex]5(-1)-(-2)[-13][/tex]
[tex]-5-(-2)[-13][/tex]
[tex]-5-26[/tex]
[tex]-31[/tex]
I hope you understand better now.
which two values of x are roots of the polynomial below?
x^2 + 5x + 9
Answers
Answer:
The answer:
A. [tex]x= \frac{-5+ \sqrt{-11} }{2}[/tex]
F.[tex]x= \frac{-5- \sqrt{-11} }{2}[/tex]
Step-by-step explanation:
Step 1: Solve with quadratic formula
[tex]x_{1},2 = \frac{-b+- \sqrt{b^2}- 4ac }{2a}[/tex]For [tex]a=1, b=5, c=9\\x_{1},2 = \frac{-5 + \sqrt{5^2 -4 *1 *9} }{2*1}[/tex]Step 2: Simplify
[tex]\sqrt{5^2 - 4 *1 *9} : \sqrt{11} i[/tex]Multiply the numbers: [tex]4*1*9 = 36[/tex][tex]i\sqrt{ 36 -5^2}[/tex] = [tex]\sqrt{-5^2 + 36} = i\sqrt{11}[/tex][tex]5^2 = 25 = \sqrt{-25 + 36}[/tex]Add/subtract the numbers [tex]-25 +36 = 11 = \sqrt{11} = \sqrt{11}i[/tex]Step 3: Separate the solution
[tex]x_{1} = \frac{-5 + \sqrt{-11}i}{2} , x_{2} = \frac{-5 - \sqrt{-11}i}{2}[/tex]Answer:
[tex]\large {\textsf{A and F}}\ \implies \bold{x_1}=\dfrac{-5-\sqrt{-11}}{2},\ \bold{x_2}=\dfrac{-5+\sqrt{-11}}{2}[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Standard Form of a Quadratic Equation: ax² + bx + c = 0, where a ≠ 0.
Given polynomial: x² + 5x + 9
⇒ a = 1, b = 5, c = 9
Step 1: Rewrite to Standard Form.
⇒ x² + 5x + 9 = 0
Step 2: Substitute the values of a, b, and c into the formula.
⇒ a = 1, b = 5, c = 9
[tex]x=\dfrac{-5\pm\sqrt{\bold{5^2}-4\bold{(1)(9)}}}{\bold{2(1)}}\\\\x=\dfrac{-5\pm\sqrt{25\bold{\ - \ 4(9)}}}{2}\\\\x=\dfrac{-5\pm\sqrt{\bold{25-36}}}{2}\\\\x=\dfrac{-5\pm\sqrt{-11}}{2}[/tex]
Step 3: Separate into two possible cases.
[tex]x_1=\dfrac{-5-\sqrt{-11}}{2}\\\\x_2=\dfrac{-5+\sqrt{-11}}{2}[/tex]
Other examples:
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what does X equal to in this equation
Answers
Answer:
17
Step-by-step explanation:
5x+5x+10=180
10x=170
x=17
Answer:
Answer is 17
Step-by-step explanation:
It is done in this step
5x +5x+10=180
10x=170
x=17
Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.
Answers
For the mode to be 6, there has to be at least two 6s.
For the median to be 6, with two 6s, there must be at least one number above 6.
For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.
Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.
That is a lot of passwords! How many passwords would the website have if users were allowed to
reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks
below. Let the first six spaces represent letters and the last two spaces represent numbers)
Answers
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
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5. Which of the following linear equations is expressed in slope-intercept form.
2y = 8x - 1
x = 2y + 3
y = 4x - 2
2x + 3y = 6
Answers
Answer:
The third option: y=4x-2
Step-by-step explanation:
Slope-intercept form formula is: y=mx+b
First option is not correct because it has a number before the y value.
Second option is not correct because x is on the left of the equal side instead of the right.
Third option is correct.
Fourth option is not correct because it is written in standard form.
Hope this helps!
If not, I am sorry.
2x + 5y = 17 6x - 5y = -9
Answers
Answer:
Step-by-step explanation:
PLEASE HELP QUICKLY!!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!!
Answers
Answer:
i think is the third one
Which term best describes the horizontal cross-sections of an oblique cone?
O A. Congruent discs
OB. Similar discs
OC. Similar polygons
O D. Congruent polygons
Answers
Answer:
B. Similar discs
Step-by-step explanation:
Definitions
Cone: A three-dimensional solid figure that has a circle at one end (the "base"), a point at the other end (the [tex]\sf a\:\!pex[/tex]), and a curved side.
Right Cone: A cone where the [tex]\sf a\:\!pex[/tex] is aligned on the center of the base.
Oblique Cone: A cone where the [tex]\sf a\:\!pex[/tex] is not centered over the base.
Horizontal Cross-section: The intersecting plane parallel to the base of the solid figure.
Congruent: The same shape and size.
Similar: When one shape can become the other after being resized, reflected, translated or rotated.
Disc: The region in a plane bounded by a circle.
Polygon: A two-dimensional closed shape with a minimum of 3 straight sides.
Therefore, the horizontal cross-sections of an oblique cone are similar discs.
2*2+2+2+2+2+2+2+22+2+22+2222+222+22+22+222+22+22
Answers
Answer:
Step-by-step explanation:
2,816 lol
3x² - 5x+2
5x²-2x-6
Which of the following is the sum of the two
polynomials shown above?
A) 8x²-7x-4
B) 8x² +7x-4
C) 8x4-7x²-4
D) 8x² +7x²-4
Answers
combine like terms
PLEASE HELP
Mary is three times as old as her son. In 12 years, Mary's age will be one year less than her son's age. How old is each now?
Answers
Answer:
Son's Age: 11
Mary's Age: 33
Step-by-step explanation:
Let set Mary and her son as variables,
M = Mary's age
S = Mary's son age
Breakdown:
"Mary is three times as old as her son"
M = 3S
"In 12 years, Mary's age will be one less than twice her son's age"
M + 12 = 2(S + 12) - 1
we add 12 to both sides as it will be in 12 years for both
We know that M = 3S, so we plug this in
3S + 12 = 2(S + 12) - 1
Now solve for S (son's age),
3S + 12 - 12 = 2(S + 12) - 1 - 12
3S = 2(S + 12) - 13
3S = 2S + 24 - 13
3S - 2S = 2S - 2S + 24 - 13
S = 24 - 13
S = 11
To find Mary age, plug in her son age ,
M = 3S
M = 3(11)
M = 33
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An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?
Answers
Answer:
150.04
Step-by-step explanation:
144.12
5.92
+ 150.04
Help me out please…….
Answers
Answer:
please suscribe my chsnnal
clue technical
Looking for a step by step explanation for this question! I take the Math QRAS Accuplacer soon and practicing my math skills but I seem to be stuck on this problem.
To raise money for their school play, Beatrice sold brownies for $1.25 each, and Chuck sold cookies for $0.75 each. Together, they sold 87 items and made $80.75. How many cookies did Chuck sell?
(A) 15 cookies
(B) 26 cookies
(C) 56 cookies
(D) 65 cookies
Answers
Graph: y - 3 = (x + 2)
Answers
Answer:
Step-by-step explanation:
See attached graph.
The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -3 ≤ x ≤-1?
Answers
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10[/tex]
Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
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√4x-3-1=√x+1
What is the value of x
Answers
whats the answer 2 1/3 x 1 2/5
Answers
Answer:
84/5 should be the answer
Step-by-step explanation:
cross multiply
Which of the following angles are congruent?
L
»
M
0
»
O
ZMOL = ZMON
O ZMNO = ZLOK
OZLKO ZNMO
K
N
Answers
Answer:
LKO = NMO
Step-by-step explanation:
This is because both of the angles lie on the same "vertical angle", the line segment that connects M to K. The segment MN is also parallel to segment LK. If you have two congruent line segments, then the measure of the angles are congruent.
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
Answers
The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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What is x^3-2x^2-4x-1 divided by X+1?
Answers
Answer:
x^2-3x-1
Step-by-step explanation:
So we have the equation:
x^3-2x^2-4x-1/x+1
First factor the equation:
(x+1)(x^2-3x-1)/x+1
Then cancel the common factor: x+1 to solve the equation:
x^2-3x-1
What is the value of x in the equation 8x – 2y = 48, when y = 4?
Answers
Answer: x = 7
Step-by-step explanation:
First, we will plug 4 in for y. Then, to solve we will isolate the variable "x" in the equation.
Given:
8x – 2y = 48
Plug in the y value of 4:
8x – 2(4) = 48
Multiply -2 times 4:
8x – 8 = 48
Add 8 to both sides of the equation:
8x = 56
Divide both sides of the equation by 8:
x = 7
Answer:
x=7
Step-by-step explanation:
8x – 2y = 48
Let y=4
8x -2(4) = 48
8x - 8 = 48
Add 8 to each side
8x-8+8= 48+8
8x = 56
Divide by 8
8x/8 = 56/8
x = 7