Step-by-step explanation:
2 x (16 + (10 + 3) - 3) - 22
2 x (16 + 13 - 3) - 22
2 x 26 - 22
2 x 4
= 8
Express the following in the usual form
(a) 6.25×10-⁵
Answer:
0.0000625
Step-by-step explanation:
[tex]10^{-5}=0.00001[/tex]
[tex]6.25*10^{-5}=6.25*0.00001=0.0000625[/tex]
Answer:
So we need to express [tex]6.25 * 10^{-5}[/tex].
What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.
As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:
[tex]6.25 * 10^{-5}=0.0000625[/tex]
If you don't understand what does it mean to move the coma to the left, see this example to understand it:
We move it one time from 6.25 --> 0.625
We move it two times from 6.25 --> 0.0625
We move it three times from 6.25 --> 0.00625
We move it four time from 6.25 --> 0.000625
What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.
So now we know that [tex]\boxed{6.25 * 10^{-5}=0.0000625}[/tex]
Please help
the value -2 is lower bound for the zeros of the function below
f(x)=4x^3-12x^2-x+15
True or False
Answer:
False
Step-by-step explanation:
f(x)=4x^3-12x^2-x+15
Using synthetic division
-2 4 -12 -1 15
-8 40 -78
--------------------------
4 -20 39 -63
Since this is not zero, this is not a lower bound
Answer:
[tex]\Large \boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex]\sf f(x)=4x^3-12x^2-x+15[/tex]
The zeros of the function is the values at which the function crosses the x-axis.
The value -2 is not a lower bound for the zeros of the function.
Given the graph below, which of the following statements is true? On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2). The graph represents a one-to-one function because every x-value is paired with only one y-value. The graph represents a one-to-one function because it is defined for all x-values. The graph does not represent a one-to-one function because it does not pass through the origin. The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Answer:
The correct option is (D).
Step-by-step explanation:
A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.
That is:
x₁ → y₁
x₂ → y₂
x₃ → y₃
.
.
.
and so on.
Consider the graph.
From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.
So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.
Given :
On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (-5, 6) to (-2, 0).The second line has a positive slope and goes from (-2, 0) to (2, 2).The third line has a negative slope going from (2, 2) through (4, -2).Draw the graph of the three lines in order to determine the function is one-one function or not.
The equation of the line passing through (-5,6) and (-2,0) is given by:
[tex]\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}[/tex]
[tex]\dfrac{y-6}{x+5}=\dfrac{-6}{3}[/tex]
[tex]y-6=-2(x+5)[/tex]
y + 2x + 4 = 0 --- (1)
The equation of the line passing through (-2,0) and (2,2) is given by:
[tex]\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}[/tex]
2y = x + 2 ---- (2)
The equation of the line passing through (2,2) and (4,-2) is given by:
[tex]\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}[/tex]
y - 2 = -2(x - 2)
y + 2x = 6 ---- (3)
Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.
So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/12465796
Under what operation are the set of integers closed? Explain your answer
Answer:
a set of integers is closed under addition, subtraction, and multiplication because when you add, subtract, or multiply any integers, the result is always an integer.
Step-by-step explanation:
There are 10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles in a box. If two marbles are drawn at random without replacement, what is the probability that both marbles removed are not blue?
Answer:
7/20
Step-by-step explanation:
10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles
25-10 = 15
There are 15 not blue marbles
P( not blue ) = not blue marbles / total = 15/25 = 3/5
keep the not blue marble
25-1 = 24 marbles left
15-1 = 14 not blue marbles
P( not blue ) = not blue marbles / total = 14/24 = 7/12
P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20
Answer:
7/20
Step-by-step explanation:
10(blue) + 4(black) + 5(white) + 6(red) = 25(total)
25(total)-10(blue)=15(not blue)
not blue/all = 15/25 = 3/5 = probability that first marble removed are not blue
If we remove 1 marble;
25-1 = 24 (total) , 15-1=14(not blue)
second not blue/all = 14/24 = 7/12 = probability that second marble removed are not blue
probability that both marbles removed are not blue : 3/5. 7/12 = 21/60
21/60 = 7/20
Hope this helps ^-^
Find the equation of the hyperbola shown below. 15 Points, will give Brainliest! Due in 2 HOURS! A. (x - 1)^2/4 - (y + 4)^2/9 = 1 B. (y - 1)^2/4 + (x+4)^2/9=1 C. ( y + 1)^2/4 - (x - 4)^2/9 = 1 D. (y - 1)^2/9 - (x + 4)^2/4 = 1
Answer:
Solution:
[tex]\frac{\left(y-1\right)^2}{9}-\frac{\left(x+4\right)^2}{4}=1[/tex]
Step-by-step explanation:
We have the general equation for our up - down facing hyperbola as (y - k)² / b²- (x - h)² / a² = 1. Let's start listing the properties of this graph -
• Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1). Therefore (h, k) = (- 4,1).
• Another thing here is our key value a. This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference. Therefore a = 3.
• That leaves us with our asymptotes. Now remember that it will be in the form y = ± b / a. We already know a = 3, so we have to find b. Looking at this graph I can say that another point besides (- 4,1) that lies on the " dotted line " is (- 2, - 2). Calculating the slope of the dotted line would be as follows,
Given: (- 4,1) and (- 2, - 2)
Slope = - 2 + 4 / - 2 - 1 = 2 / 3
We have the equation y = 2 / 3x. Therefore b = 2. Let's substitute to receive our equation...
h = - 4, k = 1, b = 2, a = 3
(y - 1)² / (3)²- (x + 4)² / (2)² = 1
(y - 1)² / 9 - (x + 4)² / 4 = 1 ~ your solution is the last one, option d
What is the value of i5
1
−i
i
−1
Which is the inverse function of y=3x-9
Answer:
y=1/3-3
Step-by-step explanation:
1
Spoints
Which is the image of vertex O after the triangle has been rotated 90 degrees counterclockwise about the origin?
6+
5
3
2
L
2
3
-653 -2.1
s! S6
o
w
s
.67
0 -1.2)
Answer:
(2, - 1 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , thus
O(- 1, - 2 ) → (2, - 1 )
4p - 3(p + 5) = 3p - 17
Answer:
p=1
Step-by-step explanation:
4p - 3(p + 5) = 3p - 17
Distribute
4p -3p -15 = 3p -17
Combine like terms
p -15 = 3p -17
subtract p from each side
p-p -15 = 3p -17-p
-15 = 2p -17
Add 17 to each side
-15+17 = 2p -17+17
2 = 2p
Divide by 2
2/2 = 2p/2
1 =p
Answer:
Need points! Give brainliest! (a useless mod deleted all my answers for no reason)
Step-by-step explanation:
4p -3p-15 = 3p-17
2 = 2p
p = 1
A hot dog cart charges exactly $0.50 per hot dog. If the equation t=kh represents the total amount a customer is charged, t, for purchasing h hot dogs, what is the value of k?
Answer:
$0.50
Step-by-step explanation:
According to the information given, in the equation t=kh, t is the total amount a customer is charged and h is the amount of hot dogs purchased. So, to be able to get the total amount a customer is charged you have to multiply the amount of goods bought by the price of each good. Because of that, K would be the price per hot dog which is $0.50.
divide 68 into two parts so that the larger number exeed the smaller one by 6
Answer:
31, 37
Step-by-step explanation:
Let the smaller number be x
Therefore, longer number = x + 6
According to the given information:
x + x + 6 = 68
2x + 6 = 68
2x = 68 - 6
2x = 62
x = 62/2
x = 31
x + 6 = 31 + 6 = 37
Thus, the two parts of 68 are 31 and 37.
The wire supporting a 20-foot tall phone pole is attached to the top of the pole, and to the
ground 12 feet from the pole. How long is the wire?
Answer:
22.36 feet
Step-by-step explanation:
This situation forms a right triangle, where the wire is the hypotenuse
Use the pythagorean theorem to find the hypotenuse/wire length:
a² + b² = c²
20² + 12² = c²
400 + 144 = c²
544 = c²
22.36 = c
So, the wire is 22.36 feet long
x+y/ 3 = 5 solve for x x+y is the numerator and 3 is denominator
Answer:
x=−y+15
Step-by-step explanation:
What is the simplest form of (4x^3 + 6x - 7) + (3x^3 - 5x^2 - 5x + 9)
Simplest form:
7 x^3 − 5 x^2 + x + 2
13. In a cricket match, a batswoman hits a boundary 6times
out of 30 bells she plays. Find the probability that she plays .find the probability that she did not hit a boundary.
Answer:
4/5
Step-by-step explanation:
6/30 times she did
aka 1/5
5/5-1/5
=4/5 :)
Which pairs of angles in the figure below are vertical angles?
Answer:
m∠BTD and m∠ATP
m∠ATN and m∠RTD
Answer:
ATN & RTD, BTD& ATP
Step-by-step explanation:
To find out which pairs of angles are vertical in the picture let's define it first
Vertical Angles: Opposite Angles
It can't be the first one because the angle vertical to RTP is BTN
ATN & RTD
It isn't the third option since the angle opposite to DTN is RTA
BTD& ATP
What is the range of the function represented by the table?
Answer:
The second option
Step-by-step explanation:
the range is all the y vaules
One of the angles of a right angled triangle is 52°. Find the other acute angle.
Answer:
Step-by-step explanation:
total angle of a triangle=180
52+90+x=180
x=180-(90+52)
x=180-142
x=38
Answer:
38
Step-by-step explanation:
Angle of a triangle is 180
52+90+x=180
x=180-(90+52)
x=180-142
x=38
Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client’s complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.
Answer:
200n+50x+4000=Total Salary
Step-by-step explanation:
Identify the type of conic section that is represented by the equation y^2- 1 = 4(x-7). DUE IN 2 HOURS, will give BRAINLIEST! A. Circle B. Hyperbola C. Parabola D. Ellipse
Answer:
Solution : Parabola
Step-by-step explanation:
As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.
[tex]y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)[/tex]
Respectively it's properties would be as follows,
[tex]\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1[/tex]
4 of 5
7 pens and 2 pencils costs £22.
3 pens and 4 pencils costs £11.
Find the cost of a pen.
Find the cost of a pencil.
pen: £
pencil: £
I
Answer:
pen: £3
pencil: £0.5
now I'm typing cause it said the answer needs to be at least twenty words long...
sixty nine no plz urgently
[tex]:\implies\sf\:\dfrac{4a^3}{a^4+x^4}+\dfrac{8a^7}{x^8-a^8}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3(x^8-a^8)+8a^7(a^4+x^4)}{(a^4+x^4)(x^4-a^4)(x^4+a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3x^8-4a^{11}+8a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3x^8+4a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3(a^8+2a^4x^4+x^8)}{(a^4+x^4)^2(x^4-a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3\tt{(a^4+x^4)^2}}{{\tt(a^4+x^4)^2}(x^4-a^4)}[/tex]
[tex]:\implies\boxed{\bf{\purple{\dfrac{4a^3}{(x^4-a^4)}}}}[/tex]
What is the value of x
x equals negative 8 that's it
Answer:
-8
Step-by-step explanation:
3x+5-x=x-3
collect like terms
3x-x-x=-3-5
x=-8
PLEASE HURRY WILL MARK BRAINLIST
what is the valuse of (-14^0)^-2?
-1/196
1/196
0
1
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1 and 1 to the power of anything is 1. In this case it is negative:
(-14^0)^-2
-1^-2
1
Joe’s boat rental rents paddle boats for $8.00 and the paddles rent for $5.00 for the day. If David has $45, what is the least amount of hours he could rent the paddle boat
Answer:
Well i haven't found the hours out because the problem doesn't specify how many hours you can rent the boat for. I did do the math and you can rent the boat and the paddles for 13 dollars. This means that David can rent the boat for 3 days and he will have 6 dollars left over. I hope this helped you.
21 and 23 can best be described as -
Answer:
odd numbers
Step-by-step explanation:
you can see that end with odd numbers 1 and three so they can best be described as odd numbers
HOPE YOU FIND IT USEFUL
Which of the following does NOT demonstrate a physical property of matter? A Salt and water combine to form a solution of salt water B Chocolate melts when it's left in the warm sun. C Batter changes to become cake when it is baked. D Water changes to water vapor when it reaches the boiling point
Answer:
b:chockelet
Step-by-step explanation:
The function f(x) = 4x + 30 represents the length of a rectangle. The function g(x) = x - 1 represents the width of the rectangle. Use (fºg)
(5) to determine the area of the rectangle.
04
46
O 50
O 200
Answer:
The answer is 46Step-by-step explanation:
f(x) = 4x + 30
g(x) = x - 1
In order to find (fºg)(5) first find ( f • g)(x)
To find ( f • g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)
So we have
( f • g)(x) = 4(x -1) + 30
= 4x - 4 + 30
( f • g)(x) = 4x + 26
To find (fºg)(5) substitute the value of x that's 5 into (f • g)(x)
That's
(fºg)(5) = 4(5) + 26
= 20 + 26
We have the final answer as
(fºg)(5) = 46Hope this helps you
Answer:
46
Step-by-step explanation:
Kerry has 77 dolls. Perry has e more dolls than Kerry. Write the expression that shows how
many dolls Perry has.
Answer: 77+e=Perry
Step-by-step explanation:
if you pulg in any number that is exacly what you will do to the number.