Answer: No, it is not a linear function
Explanation:
We can see that it's a function because it passes the vertical line test, but it's not linear. To be linear, it needs to be one single straight line only (instead of composed of multiple pieces of different straight lines). This graph is considered a piecewise function.
So if your teacher asked "is this a function?" then the answer would be "yes". However, the "linear" portion is what makes the final answer "no".
What is the coefficient of x^3 in the expansion of (2x−3)^5?
Help please!!
Answer:
1....................
Answer:
1Step-by-step explanation:
COEFFICIENT....
justbrainlyuser
find missing side of triangle, help!
Answer:
2√10 km
Step-by-step explanation:
By Pythagoras theorem,
x^2 + 9^2 = 11^2
x^2 + 81 = 121
x^2 = 121 - 81
x^2 = 40
= 4 x 10
x^2 = 2^2 x 10
x = 2√10 km
Based on the table below, what is the relationship between cups and tablespoons?
Answer:
the answer is A
Step-by-step explanation:
Using the digits 0, 1, 2, ...8, 9, determine how many 4-digit numbers can be constructed according to the following criteria.
The number must be odd and greater than 6,000; digits may be repeated.
The number of 4-digit numbers that can be constructed is
Answer:
2000
Step-by-step explanation:
Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.
With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.
For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.
So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.
For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.
So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.
So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.
ratio of 55 paise is to 1 rupees
Answer:
You have to equal the unit first,
as 1 Rupee = 100 paise,
so,
55paise: 100paise,
= 11:20
I hope it hepled : )
Simplify the expression. (6)8 + (6)3
Answer:
66
Step-by-step explanation:
Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3
=48+18
=66
PLEASE HELP !!!!! Which type of conic section is described by the following equation?
(y - 3)2/4^2- (x+2)^2/6^2=1
A. Circle
B. Parabola that opens up
C. Parabola that opens down
U O
D. Hyperbola opening left and right
E. Ellipse
E Hyperbola opening up and dow
Answer:
F
Step-by-step explanation:I just took the test
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller
number. If y represents the larger number and x represents the smaller number, which equations model the situation?
Check all that apply.
Oy - 3x-2
3x-y = 2
3x-y=-2
y=2-3x
Oy=2(x+3)
Answer:
not sure what the O is there for?
if it is zero then Oy would make Oy=2(x+3) not correct
3x-y = 2
y=2(x+3)
Step-by-step explanation:
)
luis tiene 3 años más que
Ines. La edad de Antonio
suma de las edades de ambos.
¿ Cuales Son las edades de Luis
e Ine's si antonio tiene 15 años?
Answer:
NMHGJMHBNKJ6T76 5745
Step-by-step explanation:
7657457657776767
Rewrite as a power of 10: 1/10
Answer:
Step-by-step explanation:
You have to know how negative exponents "work" to understand this concept.
[tex]\frac{1}{10}=10^{-1[/tex] because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.
The parallel chord lie on opposite sides of the center of a circle of radius 13cm. Their lengths are 10cm and 24cm respectively. What is the between the chords
We are required to find the distance between both chords.
Answer:
17 cm
Step-by-step explanation:
The two chords are parallel to each other.
This means that a perpendicular line drawn from the centre of the circle will divide both of them into 2 equal sides.
This is depicted in the image attached.
From the Image,the diagonal drawn from one end of either chord through the centre will form the hypotenuse side of either chords.
Thus, using pythagoras theorem, we have for the chord that has a length of 10 cm. Perpendicular distance from centre of chord to centre of circle is;
d = √(13² - 5²)
d = √144
d = 12
Similarly, for chord with length = 24 cm, we have;
d' = √(13² - 12²)
d' = √25
d' = 5
Therefore, distance between chords = d + d' = 12 + 5 = 17 cm
I have a goal of getting exactly $100. But I have to pay a tax of 10%. How much money do I need to get in order to have exactly $100 after paying tax? Explain your answer please.
=======================================================
Explanation:
Let's say you earn x dollars.
You pay 10% tax on that, which means you pay 0.10x dollars.
This would drop to x-0.10x = 0.90x which is the amount earned after tax.
So you pay 10% of what you earn, and keep 90% of the rest.
Set this equal to the target $100 you want and solve for x.
0.90x = 100
x = 100/0.90
x = 111.11
Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.
David is now 4 years more than twice the age of Henry. If Henry will be 18 in 3 years, how old was David 2 years ago?
Answer:
i think its 10.5
Step-by-step explanation:
Answer:
David was 32 two years ago
Step-by-step explanation:
D = 2H + 4
H = 15
D = 30+4
D = 34
David was 32 two years ago
TIMED HELP PLEASE. Determine whether the equation is an identity or not an identity.
Answer:
It's an identity
Step-by-step explanation:
The answer is an identity
I identity are composed by sin^2 and cos^2
Tan^2 can be simplified into those two sin n cos
Find the area of the parallelogram
What expression represents the product of b and 34
Answer:
b + 24
Step-by-step explanation:
b and 24 would be b + 24
Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.
Answer:
both are equal is 0
Step-by-step explanation:
After substituting, the answer is 0 to both
[tex]\sqrt{x} 8xyx^{2}[/tex]
Answer:
nom nom
Step-by-step explanation:
nom nommy nom nom
Plz help me I don’t understand
Answer:
Step-by-step explanation:
Take two points on the line and find the slope.
(1 , 2) ; (4 , 4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]=\frac{4-2}{4-1}\\\\=\frac{2}{3}[/tex]
m = 2/3 & (1 , 2)
Slope point form : y - y1 = m(x-x1)
[tex]y - 2 = \frac{2}{3}*(x - 1)\\\\y - 2 =\frac{2}{3}x - \frac{2}{3}\\\\y =\frac{2}{3}x-\frac{2}{3}+2\\\\y = \frac{2}{3}x-\frac{2}{3}+\frac{2*3}{1*3}\\\\y=\frac{2}{3}x-\frac{2}{3}+\frac{6}{3}\\\\y=\frac{2}{3}x+\frac{4}{3}\\\\Multiply \ equation \ by \ 3\\\\3y = 2x + 4\\\\2x - 3y + 4 = 0[/tex]
Please someone quick answer this!!!
To find a probability you take the specific parameters divided by the entire set of possibilities.
For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.
And we know that the total number of orders is 100.
So, we should divide 60 by 100, and we get 60%.
At a party there are 30 students over the age of 21 and 15 under the age of 21. You select a representative sample of 5to interview about attitude towards alcohol. Explain your method and select ypur sample
Answer:
Stratified sampling
Step-by-step explanation:
Given
[tex]30 \to 21\ and\ above[/tex]
[tex]15 \to Under\ 21[/tex]
Required
The type of sampling method
From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.
Such method is a stratified sampling
A boy who is 1.4m tall, sighted the top of a flag pole at an angle of elevation of 36°. if the boy is 9.5m away from the flag pole, calculate the height of the flag pole
Answer:
The height of flag pole=8.3m
Step-by-step explanation:
We are given that
Height of boy=1.4 m
[tex]\theta=36^{\circ}[/tex]
Distance of boy from the flag pole=9.5 m
We have to find the height of the flag pole.
BCDE is a rectangle
BC=ED=1.4 m
CD=BE=9.5 m
In triangle ABE
[tex]\frac{AB}{BE}=tan36^{\circ}[/tex]
Using the formula
[tex]tan\theta=\frac{Perpendicular\;side}{base}[/tex]
[tex]\frac{AB}{9.5}=tan 36^{\circ}[/tex]
[tex]AB=9.5tan36^{\circ}[/tex]
AB=6.90 m
Height of flag pole=AB+BC=6.90+1.4
Height of flag pole=8.3m
At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
= [tex]60-48[/tex]
= [tex]12[/tex] (minutes to 12)
So,
= [tex]12 \ minutes+14 \ minutes[/tex]
= [tex]26 \ minutes[/tex]
hence,
The smaller angle will be:
= [tex]26\times 6^{\circ} \ each[/tex]
= [tex]156^{\circ}[/tex]
Answer:
The angle is 204 degree.
Step-by-step explanation:
The angle turned by minute hand in 1 minute is 6 degree
The angle turned by the hour hand in 1 hour is
For the hour hand :
The angle turned in 1 hour = 360/12 = 30degree
At 2 : 00 , the angle covered = 30 x 2 = 60 degree
In each minute the hour hand moves = 30 degrees / hour x 1 hour/60 min
= 1/2 degree
So at 2: 48 the hour hand is at 2*30 + 48 * 1/2 = 84 degrees
For the minute hand:
In each minute it turns = 6 degrees
So, at 48 minutes the minute hand is at 48 x 6 = 288 degrees
So, the angle between them is 288 - 84 = 204 degrees
Find f(-3) if f(x) = x^2
6
-9
9
-6
Answer:
B. -9
Step-by-step explanation:
The equation would be f(-3)=-3^2
3*3 is 9
Add the - back on, and you get -9
I hope this helps!
How would the expression x2 -9 be rewritten using Difference of Squares?
Answer:
(x + 3) (x - 3)
Step-by-step explanation:
[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3
x^2 - 3^2 =
x^2 - 9 =
(x + 3)
(x - 3)
Answer:
Step-by-step explanation:
x²-9=x²-3²
For every 19 litres of petrol a car can run for 50 km . How much petrol do you need ( to 1 DP ) to ensure the car has enough petrol of a trip that is 130 km
Answer:
49.4 liters
Step-by-step explanation:
we have the basic ratio between liters of petrol (gasoline) and distance driven :
19/50
now, the same ratio has to apply, when we talk about 130 km instead of just 50.
so,
19/50 = x/130
x = 130×19/50 = 13×19/5 = 49.4 liters
if I may add, this is a very bad or at least very, very big car based on today's standards ...
Solve the attachment...
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give
away a free drink to every 98th customer, a free bag of popcorn to every 112th customer and
a free cinema ticket to every 224th customer. Which lucky customer will be the first to
receive all 3 items?
Answer:
1,568 customer
Step-by-step explanation:
Find the lowest common multiple of 98, 112, and 224
98 = 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666
112 = 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, 1456, 1568, 1680, 1792, 1904
224 = 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240
The lowest common multiple of 98, 112, and 224 is 1568
Therefore, the 1,568th customer will be the first to receive all 3 iitem
40 points if helped, question is in the picture
Step-by-step explanation:
0.484848 =x
x=0.48-------1
100x=48.48-----2
2-1
100x-x =48.48-0.48
99x= 48
x =48/99
[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]
PLZ HELP
Which statement is an example of the reflexive property of congruence?