Which statement correctly compares the function shown on this graph with
the function y = 4x+ 2?
8
7
6
5
4
12
-5 -4 -3 -2 -1
1 2 3
4 5
-2
Answers
Answer:
B. The function shown on the graph has a smaller rate of change but a higher starting point
Step-by-step explanation:
Question options obtained from a similar question are;
A. The function shown on the graph has a greater rate of change and a higher starting point
B. The function shown on the graph has a smaller rate of change but a higher starting point
C. The function shown on the graph has a greater rate of change but a lower starting point
The function shown on the graph has a smaller rate of change but a higher starting point
Explanation;
The given function with which the graph is compared is y = 4·x + 2
From the given function, we have;
The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4
When y = 0, 4·x + 2 = 0,
∴ x = -2/4 = -0.5
The y-intercept is given when x = 0
∴ The y-intercept, y = 4 × 0 + 2 = 2
The starting point of the function, is (0, 2)
From the graph, we have;
The y-intercept = (0, 4)
Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)
The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)
The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3
Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4
When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.
Related Questions
The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
Answers
Which expression represents this word phrase? eight less than the quotient of x and 3
A: х/3 - 8
B: X - 8/3
C: 3x - 8
D: 8 - x/3
Answers
Answer:
Step-by-step explanation:8 less means you will be subtract 8 from another number. The quotient of x and 3 is gotten by dividing x by 3 or x/3.
30 points What's the area below
Answers
Answer:
213
Step-by-step explanation:
(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9
=213
Answer:
Step-by-step explanation:
Ggg
-5,2 translated 2 two units left and one unit up
Answers
Answer:
(-7, 3)
Step-by-step explanation:
You already said the point of C is (-5, 2)
Now all we simply do is change the values of each X and Y value respectively.
When moving to the left, the value is subtracted for X.
When moving up the value is added to Y.
-5-2 = -7
2+1 = 3
Answer:
It is going to be -7;3 as I can see on the picture you sent the answer is the first option.
Select the correct answer.
Convert (6,150°) to rectangular form.
Answers
Answer:
A
Step-by-step explanation:
basta letter A sagot dyan
what would be the best first step in solving this system?
Answers
Answer:
B. substitute for X in first equation
Find the volume of the composite figure
Answers
Answer:
540m^3
Step-by-step explanation:
find volume of top + volume of bottom
bottom: l*w*h = 16*5*4 =300 m^3
top = area of side times width = area of triangle times width
area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2
multiply by width = 48*5=240m^3
add top and bottom = 300+240=540m^3
Lines n and m are parallel and lines s and t are parallel, as shown.
If the measure of 1 is 120°. That is the measure of 2
Answers
Answer:
60
Step-by-step explanation:
straight lines are 180
since all lines are parallel
180 - 120 = 60
For the given set of parallel lines measurement of angle 2 is equals to 60degrees.
What are parallel lines?" Parallel lines are defined as coplanar lines which do not intersect in the same plane. They are equidistant from each other in the same plane."
According to the question,
Given,
Line 'n' is parallel to line 'm'
Line 's' is parallel to line 't'
As diagram drawn we have,
AB is a part of line 'n'
BC is a part of line 't'
CD is a part of line 'm'
DA is a part of line 's'
From this we get,
AB parallel to CD
BC parallel to DA
Therefore,
ABCD is a parallelogram.
Opposite angles in a parallelogram are congruent we have,
∠1 ≅∠3 = 120°
∠2 and ∠3 are supplementary angles.
⇒∠2 + ∠3 = 180°
⇒∠2 + 120° = 180°
⇒∠2 = 180° - 120°
⇒∠2 = 60°
Hence, for given parallel lines measure of angle2 is equals to 60degrees.
Learn more about parallel lines here
https://brainly.com/question/16701300
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solve for x, show work please!! 20 points.
Answers
Step-by-step explanation:
Here,
13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]
=> 13x - 11x = 15 + 5
=> 2x = 20
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10 (Ans)
HELP
A group of students is traveling to a baseball game on a rented bus. The cost to rent the bus is $100 and each ticket to the game costs $15.
The students decide that the cost per person should be less than $25.
Which inequality could be used to find the number of people, p, needed to go to the game in order to keep the cost below $25?
A
100-15p
> 25
р
Ha
B.
100-15p
<25
P
100+15p
c
> 25
р
OD
100+15p
P
<25
Answers
Answer:
100+15p < 25p
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
total cost of travelling = cost to rent a bus + total cost of ticket for p persons
100 + 15p
they want to spend less than an average cost of 25 per p people
they want to spend less than 25p
since they dont want to spend less than 25p, < would be used
100+15p < 25p
Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70
Answers
Answer:
The number which is more than 6 and less than 8 is 7.
Step-by-step explanation:
There are the natural numbers.
To find the number which is more than 6 but less than 8.
The numbers which are more than 6 are 7, 8, 9, 10, ....
The numbers which are less than 8 are ...,3, 4, 5, 6, 7
So, the number which is more than 6 and less than 8 is 7.
Solve, Hurry, Need Help
[tex] {x}^{2} - 15x + 26[/tex]
Answers
Step-by-step explanation:
[tex]{x}^{2} - 15x + 26[/tex]
Factorize : What two numbers when added will give - 15 and when multiplied will give 26.
the number is - 13 and - 2
[tex] {x}^{2} - 2x - 13x + 26[/tex]
Factor out x
[tex]x(x - 2) - 13(x - 2) \\ (x - 13)(x - 2)[/tex]
Answer:
(x-13)(x-2)
Step-by-step explanation:
Factoring :
(x-13)(x-2)
[tex]x^2-13x-2x+26[/tex] combine like terms
Because -13-2 gives you -15 and -13 mutiply -2 gives you positive 26
[tex]x^2-15x+26[/tex]
I hope this helps you
Given the building layout for Store A, Store B, Store
C, and Store D, what portion of the shared $6000
security costs should be apportioned to Store B if store A is 2500ft^2, store B is 625ft^2, store C is 625^2, and store D is 2500ft^2
Answers
Answer:
$600
Step-by-step explanation:
2500+625+625+2500=6250
625/6250=.10 or 10%
6000 x .10=600
Store B should be apportioned $600 of the shared $6000 security costs.
To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.
[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]
[tex]Total square footage = 6250ft^2[/tex]
Now, let's calculate the proportion of Store B's square footage to the total square footage:
[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]
Now, find the proportion in decimal form:
[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]
To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:
Portion of security costs for Store B = Proportion of Store B * Total security costs
[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]
Therefore, Store B should be apportioned $600 of the shared $6000 security costs.
To know more about security:
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log (sqrt(xy))/z is equal to
a) 1/2 logx + 1/2 logy - logz
b) 1/2 logx + logy - logz
c) 1/2 (logx + logy - logz)
d) 1/2 log xy/ logz
Answers
Answer:
A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Step-by-step explanation:
[tex]log\frac{\sqrt{xy}}{z}[/tex]
[tex]log\sqrt{xy}-log(z)[/tex]
[tex]log(xy)^\frac{1}{2}-log(z)[/tex]
[tex]\frac{1}{2}log(xy)-log(z)[/tex]
[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]
[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Therefore, A is correct
Using the quadratic formula to solve x = 5-x, what are the values of x?
Answers
AC =
Round your answer to the nearest hundredth.
?
?
с
A
70°
B
Answers
Answer:
AC = 3.76
Step-by-step explanation:
take 70 degree as reference angle
using sin rule
sin 70 = opposite / hypotenuse
0.939 = AC /4
0.939 * 4 = AC
3.756 = AC
3.76 = AC
Answer:
AC = 3,76
Step-by-step explanation:
Sin70 = AC/AB
Sin 70 = AC/4
AC = Sin70×4
AC = 3,76
find the area of a semicircle whose radius is 2.4 cm
Answers
Answer:
[tex] 9.0432 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of semicircle
[tex] = \frac{1}{2} \pi \: {r}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times {(2.4)}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times 5.76 \\ \\ = \frac{1}{2} \times 18.0864 \\ \\ = 9.0432 \: {cm}^{2} [/tex]
Answer:
Area of semi circle = 9.05 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ semi - circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (2.4)^2 = 9.047 = 9.05 \ cm^2[/tex]
Use the formula A=bhto find the area of the parallelogram.
2.1 m
6.3 m
Answers
Answer:
A = 13.23 m²
Step-by-step explanation:
A = bh
Where,
A = area of the parallelogram
b = base of the parallelogram
h = height of the parallelogram
From the question, assume
b = 2.1 m
h = 6.3 m
A = bh
= 2.1 m × 6.3 m
= 13.23 m²
A = 13.23 m²
solve for X. Round to the nearest tenth, if necessary.
Answers
Answer:
x=50.7
Explanation
90+38+x+1.3=180
90+38
Add these numbers
=128
128+x+1.3=180
128+x+1.3
Add these numbers
128+1.3=129.3
129.3+x
129.3+x=180
129.3+x
sort elements
x+129.3=180
129.3
convert this to a fraction
1293/10
x+1293/10=180
x+1293/10=180
Move each term from the right to the left side and change a sign of every element
x+1293/10-180=0
x+1293/10-180
subtract these number
1293/10-180=1293/10-1800/10
=-507/10
x-507/10=0
f (x)=x-507/10
a=1
b=-507/10
x-507/10=0
move each number from the left a the right side and change a sign of every element
x=507/10
therefore x=50.7
please help :(
simplify (5^1/6)^6
A. 5^36
B. 1/5
C.5
D.5^6
Answers
Answer:
the correct answer is C.5
Step-by-step explanation:
(5^1/6)^6=5
What are the domain and range of the function?
Answers
Answer: Domain: (-inf,inf) Range; [-4,inf)
Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore, [-4,inf). Also, infinity always has a parenthesis.
Which equation has the same solution as x2 + 16x + 13 = 0?
Answers
(x+4)^2=21
Hope this helps ;)
Can units subtract themselves in mathematics? Example is cm²-cm =cm? / m³-m =m²?
Answers
Answer:
No, they cannot be added or subtracted.
Step-by-step explanation:
According to the homogenity of units and dimensions, the quantities of the same units and dimensions are added or subtracted only.
So, the quantities of different units and dimensions can not be added or sutracted.
So,
[tex]cm^2 - cm = notdetremined[/tex]
Kira looked though online census information to determine the average number of people living in the homes in her city
Answers
First we need to identify if the data is qualitative or quantitative.
The data is average number of people living in the homes.
Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.
Since the average number of people can be counted and measured, the data is Quantitative.
In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.
Therefore, the correct answer will be:Kira used published data that is quantitative.
Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped
Sam took a total of 12 tests over the course of 6 weeeks if the continued to take tests at the same rate how many tests will Sam have taken after 28 weeks of school
Answers
Answer:
56 tests
Step-by-step explanation:
first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.
So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to multiply 28 by 2 (28 × 2 = 56), which will be equal to 56
hope this helps! if you have any questions, let me know!
Please help me I really need help
Answers
771.05 m³ is tge answer brudah !!
= 703.72 + 100.53
= 804.2 m^3 (4sf)
I will give brainliest please help!
Answers
Answer:
40/5 = 8 per hour
Hope this helped :)
please help giving brainly and points :)
Answers
Answer:
A)-4,-5
B)4,5
Step-by-step explanation:
-0,05.[tex]\sqrt{28800}[/tex]
Answers
Answer:
-8.4855
Step-by-step explanation:
[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]
3^8 times 3^2, using properties of exponents
Answers
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]