The given highest power of x in the given function, y = 4·x + 2, is 1,
therefore, the graph of the function is a straight line.
The statement that correctly compares the function shown on the graph
with the function; y = 4·x + 2 is; C. The function shown on the graph has a
smaller rate of change but a higher starting point.
Reasons:
The given function is; y = 4·x + 2
Comparing with the equation for a straight line; y = m·x + c, we have;
The rate of change or slope, m = 4
The y-intercept, starting point, c = 2
Two points on the function shown on the graph are; (0, 4), and (-2, -2)
The slope of the given graph is therefore;
[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]
The rate of change of the graph, m = 3
The equation of the graph is therefore;
y - 4 = 3·(x - 0)
Which gives;
y = 3·x + 4
The y-intercept, starting point of the graph, is therefore, c = 4
Which gives;
The function shown on the graph has a higher starting point but a smaller rate of change than the given function.
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. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100 from this population, describe the sampling distribution of the sample proportion of resistors that have resistances in excess of 105 ohms. b. What is the probabilit
Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.
Sampling distribution of proportion, P = 2% = 0.02 Sample size, n = 100The sampling distribution of the sample proportion can be calculated thus:
Distribution of sample proportion = npDistribution of sample proportion = (100 × 0.02) = 2
Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.
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Transpose for = + working out too
Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.
Step-by-step explanation:
9sin(2x) sin (x) = 9cos(x)
Answer:
[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]
The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x feet longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet
Answer:
18 ft and 30 ftStep-by-step explanation:
The new dimensions will be:
10 + x and 22 + xThe area is 540
Using area equation we get:
(10 + x)(22 + x) = 540x² + 32x + 220 = 540x² + 32x = 320x² + 2x*16 + 256 = 320 + 256(x + 16)² = 576x + 16 = √576 (Ignoring the negative root as the length is never negative)x + 16 = 24x = 8The new dimensions are:
10 + 8 = 18 ft and 22 + 8 = 30 ftThis week a pack of tomato plants cost $25 next week the plants on sale for 15% off Larissa wants to know the price of the tomato plants if she buys them next week
Step-by-step explanation:
15%25$
[tex] \frac{15}{100} \times 25[/tex]
[tex] \frac{375}{100} [/tex]
=3.75
25-3.75=21.25$
y+5=(x+7) in slope-intercept form
Answer:
(x)/(7)+(y)/(5)=2
Step-by-step explanation:
(x)/(7)+(y)/(5)=2
A number is first increased by 20 and then doubled. The result is less than 5 times the number
Answer:
25=x
Step-by-step explanation:
2x+20=3x-5 (x=25)
which is bigger? 36.2 or 36.12
which is bigger? 9.18 or 9.19
which is bigger? 7.6 or 7.60
Answer:
36.20
9.19
7.6 and 7.60 are the same number
Step-by-step explanation:
which is bigger? 36.2 or 36.12 ------ 36.2 is bigger
which is bigger? 9.18 or 9.19 ---------- 9.19 is bigger
which is bigger? 7.6 or 7.60 ---------- 7.6 and 7.60 are the same
A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the area of the walkway
Answer:
128 sq. ft.
Step-by-step explanation:
The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet
The area of the pool along with the walkway will be 20 × 16 = 320 square feet.
Area of the pool without the walkway will be 16 × 12 = 192 square feet.
Therefore area of the walkway will be
352 - 216 = 128 square feet.
3/4+x=2x-x+ ?(need answer)
Answer:(x - 4)(2x + 3)
FOIL = first,outside,inside,last
F -- so multiply first terms in each set....(x)(2x)
O -- multiply outside terms in each set...(3)(x)
I -- multiply inside terms in each set....(-4)(2x)
L -- multiply last terms in each set.......(-4)(3)
Step-by-step explanation:
this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question 5 times even more if they have their people in need that need help and they come on brainly so they can get help even I do but yall dont care yall answer that yall want to answer thats not fair
What question do you need help with
Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an
account every month that pays 1.05% interest, compounded monthly. How
much will be in the account after 4 years?
Answer:
$9,800.07
Step-by-step explanation:
Just took a quiz.
There will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
PMD = $200
r/n = 0.0105/12
n = 12
t = 4 years
After plugging the all values in the formula, we will get:
A = $9,800.07
Thus, there will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
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english 1 hhhhhheeeeellllpppp meeee
Answer:
c
Step-by-step explanation:
Help me Plz :))
What are the dimensions of AB?
Answer:
c 2*3
Step-by-step explanation:
I think its correct
AH IM SO BAD AT MATHHH SORRY !
Answer: 135 degrees
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
sum of triangle angles = 180
then JLK =. 180 -(70+65) = 180 - 135 = 45
then JLK = 45
since JLM = 180
then KLM = 180 - 45 = 135
Forty-eight divided by one hundred equals what?
Answer:
0.48
Step-by-step explanation:
jou just have move point from right to left like this 48 rite so 48. =because have to zero u hqve move two place left so it will be 0.48
Answer:
0.48
Step-by-step explanation:
48 divided by 100=0.48
what are the coordinates of B and D?
Answer:
B = (4, 3)
D = (8,6)
Step-by-step explanation:
Go along the X axis until you find the line that fits with B, same with D.
Find the area of the credit card. 2 1/4 in and 3 1/3 in
Answer:
Step-by-step explanation:
A= W*L
A= 31/3*21/4
A=10.3*5.25
A=54.075cm^2
Answer:
7 1/2in^2
Step-by-step explanation:
LxW=A
2 1/4 x 3 1/3 = A
A = 7 1/2
7,218 round off thousand
Question 4 of 5 Which expression uses the associative property to make it easier to evaluate 6(5-3)? 1 3 O A. 6(} - ) O B. (6 - 3) O C. 3(6.3) O D. ( 63) SUBMIT
pls help, no links.
I think it's a
Step-by-step explanation:
associative property means you can change what ever is in the ()
Answer:
Step-by-step explanation:
−2(x+1)=x−3x−2 No solution, one solution, or infinite solutions
Answer:
infinite solutions (All real numbers are solutions)Step-by-step explanation:
−2 *(x + 1) = x −3x −2
-2x - 2 = -2x -2
Can someone help me plz!!
Answer:
RMT or TMR
Step-by-step explanation:
The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.
Jonathon is paid biweekly. His annual salary is $39,000. What is his biweekly salary? Include a $ in your answer.
plzzzzzzzzzzzzzzzz help me
which system represents the graph?
A. y + 2x = 12
y = x + 3
B. y = -2x + 10
y = 2
C. x + y = 3
y = -3 (2x - 1)
D. y = 2/3x
y = 5/3x - 3
Answer: A
Because y =x + 3 shows there’s a point at (0,3) and y + 2x = 12 solves to y = -2x + 12 meaning there’s a point at (0,12) and the graph shows that
Find last year's salary if, after a 5% pay raise, this year's salary is 35,175
Answer:
Step-by-step explanation:
x + 0.05x = 36225
x(1 + 0.05) = 36225
x*1.05 = 36225
by solving we find:
x = $34,500
George walked 6 miles in 2 hours.
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
Answer:
3 miles per hour
Step-by-step explanation:
Well, what we do in these situations is simple. We divide.
So this George guy, he walks six miles in 2 hours.
I think to myself, "Okay, so that's 6 divided by 2."
So, we get 3.
#It'sNotRocketScience
if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
George walked 6 miles in 2 hours.
We need to find his average walking rate in miles per hour
Let x be the average walking rate in miles per hour
Let us form an equation
miles/hour----->6/2=x/1
3=x
So the value of x is 3
Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
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Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
(a) Find the equation of the perpendicular bisector of segment PQ.
I got so confused on this question if I could get help it would mean a lot
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
Which of the following is correctly written in Standard Form?
A.) -6x + 3y = 8
B.) y = 6/5x + 4
C.) 6x - 2y = 4
D.) 6/5x + 3y = 8
HELP NEEDED PLZ
A local catering
company is offering a
Spring BBQ special that
feeds 30 people for
$195. How much would it
cost to feed 50 people?
5 phần 4 cộng x bằng trừ 1 phần 2
Answer:
5
-
2..................