6 O
Which function is graphed on the coordinate plane below?
Ty
x
f(x) = 2x - 6
Of(x) = 2x + 6
f(x) = -2x + 6
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Answers
Step-by-step explanation:
we don't see all possible answer options.
but it does not matter.
the line is clearly
y = 2x - 6
why ?
the slope is always the factor of x.
and the slope is defined as ratio of "y coordinate change / x coordinate change".
and we can clearly see, for every change in x by +1, y changes by +2. zu, the slope is 2/1 = 2.
and when x = 0, the graph shows us the y-intercept with y = -6.
hence the above mentioned equation.
The Function is graphed on the coordinate plane is y= 2x- 6.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have points from the graph as (3, 0) and (0, -6).
So, the slope of line is
slope= (-6 -0)/ (0-3)
slope = -6/ (-3)
slope= 2
Now, using the slope intercept form
y= mx + b
y= 2x + b
Now, put x= 3 and y= 0 we get
0= 6 + b
b = -6
So, the required function is
y= 2x - 6.
Learn more about Slope here:
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what is the value of the expression 5 + 6 x (5 - 2) + 9
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Which line plot (s) represents 2/4?
Answers
Answer:
Number 1= 5th vertical line
number 2= 2nd vertical line
number 3= halfway between 2nd and 3rd vertical line
Step-by-step explanation:
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Answers
Answer:
3/5y
Step-by-step explanation:
6y/35 ÷10y^2/7
to solve this you do reciprocal of 10y^2/7
then;
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solving this
3/5y
In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False
Answers
Answer:
True because you need to divide by -4 at one stage. Dividing by a negative number will reverse the inequality.
Step-by-step explanation:
[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]
someone can help me with this
Answers
Answer:
x < -7/3
x [tex]\geq[/tex] 5
Step-by-step explanation:
For the first part:
3x + 10 < 3 subtract 10 from the both sides of the inequation
3x < -7 divide both sides by 3
x < -7/3
For the second part:
2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation
2x [tex]\geq[/tex] 10 divide both sides by 2
x [tex]\geq[/tex] 5
Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
-
please help!!!! include all steps please
Answers
Answer:
5
Step-by-step explanation:
4.50 + 1.50 = 6
30 / 6 = 5
answer = 5
Which compound inequality is represented by the graph?
Answers
Answer:
A
Step-by-step explanation:
Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).
Prove the triangles are similar.
Answers
Answer:
SAS similarity
Step-by-step explanation:
The two triangles MON and MQP are such that
Angle M = Angle M
MO/MQ = MN/MP
Therefore, Triangle MON ~ Triangle MQP (SAS similarity)
An old coin is sold for $2 and its value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years
Answers
Interest be I
[tex]\\ \sf\Rrightarrow I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=\dfrac{2(8)(10)}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=\dfrac{280}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=2.8\$[/tex]
Now
Value of coin after 10years =2+2.8=4.8$
Maya is using shapes to create a repeating pattern. Which rule will give Maya a repeating pattern that has a triangle as the 20th shape?
A.
triangle, square, circle, circle
B.
square, triangle, circle, circle
C.
square, circle, circle, triangle
D.
circle, circle, triangle, square
Answers
Answer:
B.
square, triangle, circle, circle
Step-by-step explanation:
Answer:
C. square, circle, circle, triangle
Step-by-step explanation:
The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.
The rule in choice C has the triangle last.
Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?
Answers
Answer:
A. [tex]8cm^{3}[/tex] B. Yes
Step-by-step explanation:
2*2*2=8cm cubed
8*12*10=960 which is greater than 800
Answer:
Step-by-step explanation:
2 x 2 x 2 = 8
the volume is 8 cm^3
8 x 12 x 10 = 960 cm^3
8 / 2 = 4
12 / 2 = 6
10 / 2 = 5
4 x 6 x 5 = 120
you can fit up to 120 cubes into the container
30 POINTS
A fabric paint manufacturing company fills the paint in containers using a machine. The amount of paint in a container follows a normal distribution with a mean of 99 ml and a standard deviation of 5 ml. What is the probability that the quantity of paint filled is less than 100 ml? A) 0.28 B) 0.42 C) 0.58 D) 0.92
Answers
Answer:
The correct answer is C) 0.58
Step-by-step explanation:
All this is from USATESTPREP:
The function normCdf(x0, x1, , ) gives the probability that a value drawn from a normal distribution with mean and standard deviation lies in the interval [x0, x1].As the normal distribution is symmetric, the probability that a value is less than the mean is exactly 0.5P(x ≤ 100) = P(x < 99) + P(99 ≤ x ≤ 100)= 0.5 + normCdf(99,100,99,5) = 0.5793Rounded to the nearest hundredth, the probability that a container is filed with less than 100 ml is 0.58.
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48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Answers
The five-number summary of the data set given is:
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Third Quartile (Q3) = (75 + 77)/2 = 76
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Answers
Answer:
3 km
Step-by-step explanation:
He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.
Find the slope of the line segment shown.
A) -1/2
B -1
C 1/3
D 1
Answers
Answer:
D)
Step-by-step explanation:
The answer would be D. The slope of a line is how fast it climbs. Height divided by base. Up divided by over. Thus, if it goes across 3 and up 1, its slope would be 1/3. If it goes across 1 and up 2, the slope is 2. If it goes across 1 and up -1, the slope is -1.
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Answer:
what number?
Step-by-step explanation:
The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?
Part A: Draw the pond and label what you know from the problem above.
Part B: What is the diameter of the pond?
Part C: How many seconds does it take the boat to get to the other side of the pond?
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
which system of equations cannot be readily solved by the substitution method 6x+12y=11
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Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?
Answers
Answer:
SSS, SAS, ASA, AAS, HL
Step-by-step explanation:
1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.
2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.
4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.
5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.
Because it is a rectangle, the sides are equal, and they share the same hypotenuse.
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
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Answers
Answer:
1/4
Step-by-step explanation:
We know two points on the line so we can use the slope formula
(0,6) and (8,8)
m = ( y2-y1)/(x2-x1)
= (8-6)/(8-0)
= 2/8
= 1/4
Answer:
1/4
Step-by-step explanation:
slope=rise/run=1/4
After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200
$
1,200
for hotel costs. They want to stay 6
6
nights at a hotel. In addition, they know they should plan to pay $240
$
240
in taxes and tips. Let c
c
represent the total cost per night they should plan for the hotel.
What is the solution to the equation that represents this situation?
Answers
Answer:
The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)
у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
Answers
Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?
Answers
Answer:
40
Step-by-step explanation:
16/40×100
= 1600/40
= 160/40
= 40
Answer two questions
25 points
Answers
Answer:
1) -2x - 3
2) -2a - 2
Step-by-step explanation:
Problem 1
To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.
-10x + 8x + 1 - 4
-2x - 3
Problem 2
This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.
2(1 - a) - 4
2(1) - 2(a) - 4
2 - 2a - 4
Next, we can combine like terms.
-2a + 2 - 4
-2a - 2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]
[tex]\huge\text{Number 2}[/tex]
[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Solve for x in the equation x2 + 4x-4=8.
O x = -6 or x = 2
X=-2+2/2
O x = -2 or x = 6
O x=2+2V5
Answers
[tex] {x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6 [/tex]
Answer:
x = -6 or x = 2
Hope you could get an idea from here.
Doubt clarification - use comment section.
Question 3 of 5
764 =
O A. 16
OB. 4
O c. 2
O D. 8
Answers
Answer:
b. 4
Step-by-step explanation:
I hope this helps!!