Answer:
D. (2, 5)
Step-by-step explanation:
In order to determine whether an ordered pair is on the graph of a given equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.
Let's try each of the answer choices:
A. (4, -3)
y = 4x - 3
-3 =? 4 * 4 - 3
-3 =? 16 - 3
-3 =? 13
This is clearly wrong, so eliminate A.
B. (3, 4)
y = 4x - 3
4 =? 4 * 3 - 3
4 =? 12 - 3
4 =? 9
This is clearly wrong, so eliminate B.
C. (1, -1)
y = 4x - 3
-1 =? 4 * 1 - 3
-1 =? 4 - 3
-1 =? 1
This is clearly wrong, so eliminate C.
D. (2, 5)
y = 4x - 3
5 =? 4 * 2 - 3
5 =? 8 - 3
5 =? 5
This is true, so D is the answer.
Our answer is thus D.
~ an aesthetics lover
Answer:
The answer is D
(2,5)
Step-by-step explanation:
Which of the following are monomials?
A. x11
B. 8x
C.5/7y3+5y2+y
D. x2 + 3
E. x4 + x2 +1
F. 6x2 +1/2y3
Answer:
A. x^11 and B. 8x.
Step-by-step explanation:
A monomial is a polynomial with just one term. That would be Options A and B.
Options C and E are trinomials.
Options D and F are binomials.
Hope this helps!
Answer:
A and B
Step-by-step explanation:
If f(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1(8)?
A. -1
B. 3/2
C. 41/8
D. 23
Answer:
B. 3/2
Step-by-step explanation:
If f(x) and [tex]f^{-1}(x)[/tex] are inverse, that means that if we switch the x and y for f(x) and solve for y, we will get the inverse function.
Knowing that f(x) = 2x + 5, let's write this as y = 2x + 5 and switch the x and y:
x = 2y + 5
Now, solve for y:
x = 2y + 5
x - 5 = 2y
y = (x - 5)/2
That's the [tex]f^{-1}(x)[/tex] function: [tex]f^{-1}(x)=\frac{x-5}{2}[/tex]
Plug in 8 for x:
[tex]f^{-1}(x)=\frac{x-5}{2}[/tex]
[tex]f^{-1}(8)=\frac{8-5}{2}=3/2[/tex]
The answer is thus B.
~ an aesthetics lover
Answer:
B. 3/2
Step-by-step explanation:
When we have inverses, the input to one is the output of the other
f(x) = 2x+5
y = 2x+5
We want to find
f^ -1 (8)
So x becomes y and y becomes x in the inverse
That means we want y = 8 in the original function
8 = 2x+5
Subtract 5 from each side
8-5 = 2x+5-5
3 = 2x
Divide by 2
3/2 =x
This means the solution to
f^ -1 (8) = 3/2
Tony was reading a novel. He read 75 pages in three hours. How many pages did he read each hour? Explain your answer.
Answer:
Tony read ahout 25 pages per hour
Step-by-step explanation:
75÷3=25
Answer:
25 words per hour
Step-by-step explanation:
Pleaseee help meeeeeee!
Answer:
Irrational
Step-by-step explanation:
Irrational numbers have decimal expansions that neither terminate not repeatable
π = 3.1428.........
-4π =-12.5714..........
Answer:
D. Irrational
Step-by-step explanation:
First, let's calculate what -4π is.
-4π= -4*π= -12.5663706143....
Now, let's analyze the answer choices.
Whole numbers are the numbers 1,2,3,4,5...
Integers are like whole numbers, but negatives are also included.
Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.
Irrational numbers cannot be written as fractions, do not repeat and do not terminate.
-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.
i need help with #3 plzz answer asap
Answer:
Step-by-step explanation:
The slope is increasing by one so your unit rate is 1/1 and your slope is 1
Can someone help me with this, please? I'm not sure how to solve this.
Answer:
11.) 10w^2 + 43w + 21.
12.) -15y^2 - 2y + 8
Check the explanation for details
Step-by-step explanation:
11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w
Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,
Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21
= 10w^2 + 43w + 21.
12.) Repeat the same process by multiplying row by column.
Multiply -3y by 5y and 4 you will get -15y^2 and -12y.
Also, multiply 2 by same 5y and 4. You will get 10y and 8
Therefore, the expansion of
( -3y + 2 )( 5y + 4 ) will be
-15y^2 - 12y + 10y + 8
-15y^2 - 2y + 8
the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
The set of all real numbers x that satisfies 5 5x58 is given by the following interval notation:
[5,8]
The question is a True or False question
Answer:
True
Step-by-step explanation:
Given
5 ≤ x ≤ 8
Required
Is [5,8] the interval of the given range?
The interval given shows that the range of x begins at 5 and ends 8.
Start by splitting the interval to different inequalities.
1. 5 ≤ x
This implies that 5 is less than or EQUAL TO x;
The keyword needed here is EQUAL TO;
The fact that the inequality gives room for EQUALITY (=) means that the interval begins exactly at 5
2. x ≤ 8
This implies that x is less than or EQUAL TO 8;
Similarly, the keyword needed here is EQUAL TO;
The fact that this inequality gives room for EQUALITY (=) means that the interval ends exactly at 8
So, this implies that the range of values of 5 ≤ x ≤ 8 is 5, 6, 7, 8
And can be represented with [5,8]
So, the statement is true.
if a triangle has sides measuring 8 inches and 15 in and has a hypotenuse measuring 17 in what is the ratio in simplest form of the shorter leg to the hypotenuse
Answer:
8:17
Step-by-step explanation:
With ratios, you're relating one piece of information to another. Here, it's asking you to relate the shortest leg (8 in.) to the hypotenuse (17 in.). A ratio is formed by putting a semi-colon (:) between your relations, so your answer to this question will be 8:17.
A sector whose central angle measures 1200 has an area of 12 square inches. What
is the radius of the circle?
This question is not correctly written
Correct Question
A sector whose central angle measures 120° has an area of 12 square inches. What is the radius of the circle?
Answer:
Radius of the circle = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
Step-by-step explanation:
The formula for the area of a sector is given as:
Area of a sector = θ × π/360 × r²
θ = Central angle in degrees = 120°
Area of a sector = 12 in²
12 = (120° × π)/360 × r²
r² = 12 ÷(120° × π)/360
r² = 12 ÷ 1.0471975512
r² = 11.459178217
r = √11.459178217
r = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
PLZ HELP!!! Use limits to evaluate the integral.
Split up the interval [0, 2] into n equally spaced subintervals:
[tex]\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right][/tex]
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
[tex]r_i=\dfrac{2i}n[/tex]
where [tex]1\le i\le n[/tex]. Each interval has length [tex]\Delta x_i=\frac{2-0}n=\frac2n[/tex].
At these sampling points, the function takes on values of
[tex]f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}[/tex]
We approximate the integral with the Riemann sum:
[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3[/tex]
Recall that
[tex]\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4[/tex]
so that the sum reduces to
[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}[/tex]
Take the limit as n approaches infinity, and the Riemann sum converges to the value of the integral:
[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}[/tex]
Just to check:
[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28[/tex]
How many different "words" can be made from the given word by re-arranging the letters in MATH
Answer: 24 different words
Step-by-step explanation:
Given the word : ' MATH'
To determine the number of words that can be formed by Rearranging the alphabets in the word, we need to know the length of the given word.
We also need to note if there are Repetition of alphabets in the word.
Length of Given word 'MATH' = 4
since none of the alphabets in the word are repeated ;
Number of words that can be formed by Rearranging 'MATH' = 4!
4! = 4 * 3 * 2 * 1 = 24 different words
Answer:
24
Step-by-step explanation:
5. Write the following numbers in scientific notation (powers of 10) 3 067 020 ____________________________________________________ __________________________________________________________________ B) 19.507 __________________________________________________________ __________________________________________________________________
Answer:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Step-by-step explanation:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Which of the following systems of equations is an example of one where substitution is the best method?
Answer:
option c is the correct ans .
because we can easily substitute the value of y in equn 2 to get value of x..
Answer:
To me, the third one is the best.
Note: y has been made subject of formula which makes it easy to substitute it into equation 2 and find x .
Step-by-step explanation:
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer: 125
Step-by-step explanation:
For any number to be divisible by 5 it must end in either 0 or 5, thus for a 4 digit odd number it should end with 5 eg.1005,1015,1055 etc.
The exact number of 4 digit odd nos divisible by 5 can be calculated by using Principle of counting:
Therefore, no of possible numbers are: 5x5x5x1=125 numbers
I'm a little confused with this question, please help.
Answer:
1152 minutes
Step-by-step explanation:
$104.64-24.00 = $ 80.64
80.64 ÷ 0.07 = 1152
$500 to $550. What was the percent of increase?
Answer:
10%
Step-by-step explanation:
It increased by $50 which is 10% of 500 so 10% increase.
Answer:
10%
Step-by-step explanation:
If x is the number of odd integers between 10
and 51, and y is the number of even integers
between 10 and 51, what is the value of x + y?
(A) 39
(B) 40
(C) 41
(D) 48
Answer:
C. 41
Step-by-step explanation:
We want to find the number of odd integers from 10 to 51.
The first odd integer from 10 to 51 is 11; the second is 13; the third is 15; and so on until 51. So, our list looks like this:
11, 13, 15, ... , 51
We need to figure out how many numbers there are. Let's add 1 to all of them:
11 + 1, 13 + 1, 15 + 1, ... 51 + 1
12, 14, 16, ... , 52
Now, let's divide by 2:
12/2, 14/2, 16/2, ... 52/2
6, 7, 8, ... , 26
Finally, subtract 5 from them:
6 - 5, 7 - 5, 8 - 5, ... , 26 - 5
1, 2, 3, ... , 21
There are 21 odd integers, so x = 21.
The even integers from 10 to 51 start with 12, 14. They end with 50. So, we have:
12, 14, ... 50
Let's use a similar method as above. Divide by 2:
12/2, 14/2, ... , 50/2
6, 7, ... , 25
Subtract 5:
6 - 5, 7 - 5, ... , 25 - 5
1, 2, 3, ... , 20
There are 20 even integers, so y = 20.
Then, x + y = 21 + 20 = 41.
The answer is thus C.
~ an aesthetics lover
What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
HELP PLSSS, ITS DUE TOMORROW
yellow would be B
orange would be D
I hope this helps!!!!
Answer:
a) point B
b) point D
Step-by-step explanation:
a) since there are 3 yellow sweets out of a total of ten, the probability of choosing a yellow sweet is 3/10 = 0.3 Therefore point B shows that number on the probability scale.
b) Since there are no orange sweets in the bag, the chances of a selecting sweet not being orange is ten out of ten (10/10 = 1 (for sure the sweet will not be orange). Therefore, point D shows such probability.
Solve the equation -7 = y for x.
A. x= 4y - 28
B. x = y - 28
C. x = 4y + 28
D. x = 4y + 7
Answer:
x = 4y+28
Step-by-step explanation:
x/4 -7 = y
Solve for x
Add 7 to each side
x/4 -7+7 = y+7
x/4 = (y+7)
Multiply each side by 4
x/4*4 = 4(y+7)
x = 4y+28
Answer: X = 4y + 28
Step-by-step explanation: Our first step will be to solve for x.
To do this, we first add 7 to both sides.
This gives us x/4 = y + 7.
Now we want to multiply each side of the equation by 4.
So we get x/4(4) = 4(y + 7).
On the right, distribute the 4 through the parenthses!
Simplifying from here, we get x = 4y + 28.
So this is our final answer.
John and 4 friends are going out for pizza for lunch . They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model the situation, and find the cost of one large drink.
Answer:
The cost of one large drink is $1.50.
(13.5-10) + 4 = (7.5 ÷ 5) = $1.50
Step-by-step explanation:
The first step is to minus the $10.00 from the $13.50, which gives us $3.50.
13.5 - 10
We've done this because the pizza is irrelevant to what we're trying to figure out, so we subtract the price of the food, which as we already know is $10, to isolate the price of the 5 drinks to make it easier to find the price of just one.
Once we've done that, we're going to add on the $4.00 they got discounted to the $3.50 in order to find the original price of the drinks without using the gift certificate.
(13.5 - 10) + 4
This gives us $7.50, or the price of 5 large drinks. But we're only looking for the price of one. So we're going to divide the 7.50 by the total number of drinks ordered.
(13.5-10) + 4 = (7.5 ÷ 5)
This gives us 1.5, or $1.50.
(13.5-10) + 4 = (7.5 ÷ 5) = $1.50
Hope this was helpful!
HELP SABRINA ;) ?!!!
Answer:
d) Vessels that are any length
Step-by-step explanation:
MSDs can be defined fully as Marine
Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.
It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.
There are three types of MSDs
a) Type I
b) Type II
c) Type III
Marine Sanitation Devices are classified into types based on
1) The length of the vessels in which that are installed on.
2. The method for treating or breaking down the waste materials in the devices.
In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.
This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.
These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.
-2/3 divided by 3 1/4
Hey there! :)
Answer:
-8/27.
Step-by-step explanation:
Begin by converting 2 1/4 to an improper fraction:
2 1/4 --> [tex]\frac{9}{4}[/tex]
Divide fractions by multiplying by reciprocal:
[tex]\frac{-2}{3}* \frac{4}{9} = \frac{-2*4}{3*9} = \frac{-8}{27}[/tex]
Therefore, -2/3 divided by 3 1/4 = -8/27.
Answer:
- 8/27
Step-by-step explanation:
-2/3 ÷ 2 1/4= - 2/3 ÷ 9/4 = -2/3 × 4/9 = - 2×4/3×9= - 8/27
What is the interquartile range (IQR) of the data set below? (You have until 6:30 P.M. EST) (I don’t mind late answers, maximum being 6:35-6:40.)
Answer:
21.5
Step-by-step explanation:
Arrange numbers from smallest to largest:
56, 65, 69, 77, 79, 82, 88, 89, 90
The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.
56, 65, 69, 77, 79, 82, 88, 89, 90
(65+69)/2 = 67
(88+89)/2 = 88.5
The interquartile range:
88.5 - 67
= 21.5
Worth 50 points please show you work I will pick the Brainliest answer
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▹ Answer
The correct answer is C. x = 375 sq ft y = 6,300 sq ft
▹ Step-by-Step Explanation
The ratio is 1:15 so...
x → 5,625
(Divide 5,625 by 15 since we have to find the x value meaning we have to do the inverse operation)
5,625 ÷ 15 = 375
420 → y
(Multiply 420 by 15 since we have to find the y value meaning we have to do multiplication)
420 × 15 = 6,300
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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attachment only answer no explanation please!
Answer:
p=(0,2) q=(0.5,0)
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.
Answer:
Vertical
Step-by-step explanation:
Vertical angles are angles that are directly opposite of each other that are congruent.
Answer:
I believe it is vertical angles.
Step-by-step explanation:
Which transformation is shown? Quadrilateral DEFG is translated to form quadrilateral D'E'F'G'. Quadrilateral DEFG is rotated to form quadrilateral D'E'F'G'. Quadrilateral DEFG is reflected to form quadrilateral D'E'F'G'. Quadrilateral DEFG is dilated to form quadrilateral D'E'F'G'.
Answer:
quadrilateral DEFG is reflected to form a quadrilateral D'E'F'G'
Step-by-step explanation:
The quadrilateral is a figure that contains four sides which are straight in nature. It consists of four corners. It can be in terms of the square, rectangle, parallelogram, rhombus, etc
As we can see in the figure that the corners of the given quadrilateral is in a display in clockwise but if we compared with another figure it is in display in counterclockwise. It can be back with the help of reflection
Hence, the first option is correct
Answer:
C
Step-by-step explanation:
Did it on Edge
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.