The graph of y ≤ -2x + 4 is shown. Which set contains only points that satisfy the inequality? A) {(0, 0), (1, 2), (3, -3)} B) {(0, 0), (1, 2), (7, -2)} C) {(3, 3), (1, 2), (3, -3)} D) {(0, 0), (2, 1), (3, -3)}
Answers
To find out if a set satisfies the inequality, you can either plug in the points into the equation, or you can plug in the points into the graph.
Any point in the shaded area and on the line satisfy the inequality. If the inequality had a sign of < or >, then the point can not be on the line, only in the shaded area.
A.) This is a solution because they are all in the shaded area
B.) This is not a solution because (7,-2) is outside the shaded area
C.) This is not a solution because (3,3) is outside the shaded area
D.) This is not a solution because (2,1) is outside the shaded area
Answer:
A) {(0, 0), (1, 2), (3, -3)}
Step-by-step explanation:
Check by inserting values into the inequality.
y ≤ -2x + 4
Set A
(0,0): 0≤ 4 TRUE
(1,2): 2 ≤ -2×1 + 4
2 ≤ -2 + 4
2 ≤ 2 TRUE
(3,-3): -3 ≤ -2×3+4
-3 ≤ -6 + 4
-3 ≤ -2 TRUE
=====
Set B
(7, -2): -2 ≤ -2×7 + 4
-2 ≤ -14 + 4
-2 ≤ -10 FALSE
=====
Set C
(3,3): 3 ≤ -2×3 + 4
3 ≤ -6 + 4
3 ≤ -2 FALSE
=====
Set D
(2,1): 1 ≤ -2×2 + 4
1 ≤ -4 +4
1 ≤ 0 FALSE
Set A is the one that contains only points that satisfy the inequality.
Related Questions
Hayk was walking around the cross-shaped pool with 10m-long sides , while Karlen was swimming in it. During the time Hayk got from point A to point B, Karlen swam diagonally from point B to A and back.
By what percent did the distance covered by Karlen exceed that of Hayk ? (round your answer to the nearest tenth)
Answers
Answer:
5,41%
Step-by-step explanation:
Remark
It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.
Givens
Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.
Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.
Solution
The difference = 63.25 - 60 = 3.25
The % increase = (3.25/60)*100 = 5.41%
during a sale at the grocery store Mrs.reynolds bought 4.2 pounds of green beans for $5.25 is each of the following proportion to the sale price of green beans? select yes or no
(A)6 pounds for $7.50 .......(yes) or (no)
(B)3.4 pounds for $4.25 ....(yes) or (no)
(C)3.5 pounds for $4.20.....(yes) or (no)\
(D)5.8 pounds for $8.70....(yes) or (no)
(E) 2 pounds for $2.50.......(yes) or (no)
plz....HELP
Answers
You can go at this in different ways. In the attached, we multiplied the number of pounds by the sale price per pound ($5.25/4.2). You can also figure the price per pound of each proposed purchase and compare with the sale price.
... sale price = $5.25/(4.2 lb) = $1.25/lb
(A) $7.60/(6 lb) = $1.25/lb (yes)
(B) $4.25/(3.4 lb) = $1.25/lb (yes)
(C) $4.20/(3.5 lb) = $1.20/lb (no)
(D) $8.70/(5.8 lb) = $1.50/lb (no)
(E) $2.50/(2 lb) = $1.25/lb (yes)
Options A (6 pounds for $7.50), B (3.4 pounds for $4.25), and E (2 pounds for $2.50) are proportional to the sale price as their unit prices match, whereas options C (3.5 pounds for $4.20) and D (5.8 pounds for $8.70) do not match the unit price and are thus not proportional.
To determine if the proportions are equivalent to the sale price of green beans, we need to calculate the unit price for each scenario and compare it to the unit price that Mrs. Reynolds paid during the sale. Mrs. Reynolds bought 4.2 pounds of green beans for $5.25. The unit price is found by dividing the total cost by the total weight in pounds:
Unit price = $5.25 / 4.2 pounds = $1.25 per pound.
Now, let's calculate the unit price for each of the given scenarios and see if they match the unit price Mrs. Reynolds paid:
6 pounds for $7.50: $7.50 / 6 pounds = $1.25 per pound (yes)3.4 pounds for $4.25: $4.25 / 3.4 pounds = $1.25 per pound (yes)3.5 pounds for $4.20: $4.20 / 3.5 pounds = $1.20 per pound (no)5.8 pounds for $8.70: $8.70 / 5.8 pounds = $1.50 per pound (no)2 pounds for $2.50: $2.50 / 2 pounds = $1.25 per pound (yes)Based on these calculations, options A, B, and E are proportional to the sale price Mrs. Reynolds paid, while options C and D are not.
how many radians is -135°? -1/4pie 3/4pie -3/4pie -4/3pie
Answers
Answer:
hello :
- 3π/4 = (-3×180°)/4 = - 540°/4 = - 135°
Step-by-step explanation:
Answer: [tex]\bold{-\dfrac{3}{4}\pi}[/tex]
Step-by-step explanation:
Set up a proportion using π = 180° → [tex]\dfrac{\pi}{180} = \dfrac{x}{-135}[/tex]
Multiply both sides by -135 to solve for x → [tex]\dfrac{-135\pi}{180} = x[/tex]
Simply the fraction by dividing by [tex]\dfrac{45}{45}[/tex] → [tex]-\dfrac{3}{4}\pi = x[/tex]
Joe walked 2/6 of a mile on Monday. On Tuesday he walked another 2/9 of a mile. How far did joe walk on Monday and Tuesday?
Answers
Answer: 5/9 of a mile
Step-by-step explanation:
2/6 + 2/9
3/9 + 2/9
5/9
Common denominator is 18.
2/6 * 3/3= 6/18
2/9 * 2/2 =4/18
6/18 + 4/18 = 10/18.
Divide top and bottom by 2. You get 5/9
Solve. 4x+5y=40
3x=15
POSSIBLE ANSWERS:
1. x=5, y=−12
2. x=5, y=−4
3. x=5, y=4
4. x=5, y=12
Answers
Answer:4(5) + 5(4)=40 ...3(5)=15
So 20+20=40 ...15=15
I Say Answer Is 3. X=5, Y=4
Step-by-step explanation:
3x = 15
x=15/3
x=5
OR if you were super lazy in this case, they practically gave you what x is based on the choices of answers given (They are all the same....5)
Plug it into the first equation and solve for y.
4(5)+5y=40
20+5y=40
5y= 40-20
5y=20
y=4
That would be choice 3.
what is the solution to the following equation x2 - 10x + 24 =0
Answers
Answer:
x=6 x=4
Step-by-step explanation:
x^2 - 10x + 24 =0
We need to factor this equation
What numbers multiply together to give us 24 and add together to give us -10
-6* -4 = 24 and -6+-4 = -10
(x-6) (x-4) = 0
Using the zero product property
x-6 = 0 x-4=0
x=6 x=4
Answer:
1.)C
2.)A
3.)B
Step-by-step explanation:
edge 2024
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −4, −3, and 1, and a y-intercept of −11.
Answers
Given zeros -4, -3, and 1, and a y-intercept of -11, the corresponding third-degree polynomial function can be formulated as y = (11/12)(x + 4)(x + 3)(x - 1).
Explanation:To construct a third-degree polynomial function, we first need to define the polynomial based on its zeros. Given that the zeros are -4, -3, and 1, we can write the polynomial function in the form [y = a(x + 4)(x + 3)(x - 1)], where 'a' is the coefficient that affects the y-intercept. Because the y-intercept is -11, we set the value of y to -11 when x equals 0 to solve for 'a'. Thus the equation becomes [ -11 = a * 4 * 3 * -1], which simplifies to [a = -11/(-12) = 11/12]. Therefore, the polynomial function with the stated properties is [y = (11/12)(x + 4)(x + 3)(x - 1)] .
Learn more about Polynomial function construction here:https://brainly.com/question/29181723
#SPJ11
The third-degree polynomial with zeros at -4, -3, and 1 and a y-intercept of -11 can be written as P(x) = 0.917(x+4)(x+3)(x-1).
Explanation:To construct a third-degree polynomial with zeros at -4, -3, and 1, we write the factored form of a polynomial P(x), with the zeros plugged into the factors: P(x) = a(x+4)(x+3)(x-1). The term 'a' is a coefficient that we can find using the provided y-intercept of -11.
Because the y-intercept happens when x = 0, we substitute x = 0 and y = -11 into the polynomial: -11 =a(0+4)(0+3)(0-1). Solving for 'a' gives a = 11/12 or 0.917.
Thus, the resulting third-degree polynomial in lowest terms is P(x) = 0.917(x+4)(x+3)(x-1).
Learn more about Polynomial Construction here:https://brainly.com/question/4280925
#SPJ2
Find the length of AC. Round answer to the nearest tenth.
Answers
16.0
Step-by-step explanation:The mnemonic SOH CAH TOA reminds you of the relationship ...
... Tan = Opposite/Adjacent
... tan(32°) = 10/AC
Multiply by AC and divide by tan(32°) to get ...
... AC = 10/tan(32°) ≈ 16.0033 ≈ 16.0
Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).
Answers
Answer:
y-2 = -(x-2)
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are two points on the line
= (1-3)/(4-2)
=-2/2
=-1
The point slope form is
y-y1 = m(x-x1) wher m is the slope and (x1,y1) is a point on the line
y-3 = -1(x-2)
y-2 = -(x-2)
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
180 degrees to units
How do i figure this out ?
Answers
Answer:
The length of a 180° arc of a unit circle is π ≈ 3.14 units.
Step-by-step explanation:
Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to
... (180°/360°) × circumference = (1/2)×circumference
For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.
Answer:
A central angle of 180 degrees corresponds to half of the unit circle, and the circumference of the unit circle is 2π units. So, the distance traveled along the unit circle from the point (1, 0) is half of the circumference, which is 1/2 * 2π = π units. Thus, the answer is 3.14 units (approximately).
i will give brainliest thanks
Answers
Answer: Correct answer is 1st option , 12.3
Step-by-step explanation:
We can find the value of x by calculating the tangent of the angle 39.
We know, that tangent of an angle in a triangle = Perpendicular/Base, corresponding to that angle.
So, tan 39 = 10/x
Again, we know that tan 39 = .81
So, .81 = 10/ x
or, x = 10/.81
or, x = 12.34
So value of x to the nearest tenth = 12.3
Hope thsi helps
Thank you
The expressions are on the picture
A) Is the expression in answer 'A' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
B) Is the expression in answer 'B' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
C) Is the expression in answer 'C' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
D) Is the expression in answer 'D' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
E) Is the expression in answer 'E' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
Answers
B yes
C no
D no
E yes
what are the domain and range of the function below?
A) Domain: (-∞, -5)
Range: (5, ∞)
B) Domain: (-5, -10)
Range: (5, 10)
C). Domain: (-5, 10)
Range: (-10, 5)
D) Domain: (-∞, ∞)
Range: (-∞, ∞)
Answers
The domain and range is all real numbers.
Answer: D) Domain: (-∞, ∞); Range: (-∞, ∞)Answer:
D) Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
The domain is the input values, or the x values.
We can put in any x values for this function.
Domain : (-∞, ∞)
The range is the output values or the y values.
We can get any output values for this function
Range: (-∞, ∞)
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter. How long is the remaining piece of ribbon?
Answers
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter
Lets add all the cut of pieces and subtract it from 2 meters
[tex]\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}[/tex]
Now we subtract 13/10 from 2 meters
[tex]2 - \frac{13}{10}[/tex]
To subtract , make the denominator same
[tex]\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}[/tex]
7/10 meter is the remaining piece of ribbon
After adding the lengths of the ribbon pieces Carrie cut (1.3 meters), the remaining ribbon length is calculated by subtracting this from the original length, leaving Carrie with 0.7 meters of ribbon.
Explanation:Carrie starts with 2 meters of ribbon and cuts off pieces measuring 5/10 meter, 1/10 meter, and 7/10 meter. To find the length of the remaining ribbon, we need to add the lengths of the pieces she has cut and then subtract this total from the original length of the ribbon.
First, we add the lengths of the cut pieces: 5/10 meter + 1/10 meter + 7/10 meter = 13/10 meters or 1.3 meters.Next, we subtract this total from the original 2 meters: 2 meters - 1.3 meters = 0.7 meters.Therefore, the remaining piece of ribbon is 0.7 meters long.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 ft per second, then its height h after t seconds is given by the equation h(t) = -16t ^2 + 128t. What is the height after 60 seconds?
Answers
Answer:
undefined
Step-by-step explanation:
t=60 is outside the domain of the function, which is t ∈ [0, 8].
_____
If you take the function and the time at face value, ...
... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*
___
*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.
Answer:
C) 8 seconds
Step-by-step explanation:
What is the factorization of the polynomial below?
4x2 - 25
A. (2x + 5)(2x - 5)
B. (4x - 5)(x - 5)
C. (2x - 5)(2x - 5)
D. (4x + 5)(x - 5)
Answers
Answer:
A. (2x + 5)(2x - 5)
Step-by-step explanation:
Factor out the polynomial given.
(4x² - 25) = (2x - 5)(2x + 5)
Check: Use the FOIL method.
(2x)(2x) = 4x²
(2x)(5) = 10x
(2x)(-5) = -10x
(-5)(5) = -25
Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25
A. (2x + 5)(2x - 5) is your answer
~
So for this, we will be applying the difference of squares rule, which is [tex]x^2-y^2=(x+y)(x-y)[/tex] . In this case:
[tex]\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)[/tex]
Answer:In short, your answer is A. (2x + 5)(2x - 5).
kAITLIN EANRS $6.50 FOR EACH HOUR SHE WORKS. ON FRIDAY SHE WORKED FOR 3 HOURS. SHE ALSO WORKED ON SATURDAY. IF SHE EARNED A TOTAL OF $52.00 FOR TWO DAYS OF WORK, HOW MANY HOURS DID SHE WORK ON SATURDAY
Answers
Answer:
5 hours
Explanation:
$
6.50
(
3
)
+
$
6.50
x
=
$
52.00
$
19.50
+
$
6.50
x
=
$
52.00
$
6.50
x
=
$
32.50
x
=
5
Glad i could help! Sorry if i came out kinda weird lol
Answer:
Answer:
5 hours
Explanation:
$
6.50
(
3
)
+
$
6.50
x
=
$
52.00
$
19.50
+
$
6.50
x
=
$
52.00
$
6.50
x
=
$
32.50
x
=
5
Glad i could help! Sorry if i came out kinda weird lol
Solve for r. -13= r/9 +8
Answers
Answer:
r = -189
Step-by-step explanation:
-13 - 8 = r/9
- 21 = r/9
r = 9 * -21
r = -189
Answer:
r = -189
Step-by-step explanation:
-13= r/9 +8
To solve this equation, we will start by subtracting 8 from each side
-13-8 = r/9 +8-8
-21 = r/9
Multiply each side by 9 to isolate r
-21*9 = r
-189 =r
Use a double number line to solve. Gabe collects model train and planes. He has 2 trains for every 5 planes. If Gabe has 25 planes, how many trains does he have? [Type your answer as a number.]
Answers
Answer:
The answer is 10
Answer:
The answer is 10
Step-by-step explanation:
Prove without solving that the solution of the equation 7(2x+1)=13 is not a whole number.
Answers
Assume x is a whole number. Then 2x+1 is a whole number, and 7(2x+1) is a whole number that is a multiple of 7.
13 is not a multiple of 7, so we have reached a contradiction, and our assumption must be false.
x cannot be a whole number.
The figures shown are similar. What is the scale factor? A. 1/9 B. 3/7 C. 4/7 D. 6/7
Answers
Answer:
C. 4/7
Step-by-step explanation:
The scale factor is the ratio of corresponding side lengths (the only ones marked with a length).
... 12/21 = 4·3/(7·3) = 4/7
Please help me if you can
Answers
Answer:
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Step-by-step explanation:
We have a point a (0,20) and a point at (2 , 20.05)
We can find the slope from
m = (y2-y1)/(x2-x1)
= (20.05-20)/(2-0)
= .05/2
=.025
One of the points (0,20) is the y intercept since x=0
We can use the slope intercept form of the equation
y= mx+b
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Answer:
.
Step-by-step explanation:
What is 35.6 × 10−4 in standard form?
Answers
[tex]35.6\times10^{-4}=35.6\times0.0001=0.00356[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001[/tex]
Final answer:
0.00356.
Explanation:
The question requires us to express the product of a decimal number and a power of ten in standard form. To find 35.6 times 10^-4 in standard form, we can use the rule of multiplying a decimal number by a power of ten. Multiplying by 10^-4 means we move the decimal point four places to the left.
So, 35.6 × 10^-4 becomes 0.00356. This is the number 35.6 shifted four decimal places to the left, as the exponent on the ten is negative, indicating division by ten for each unit of the exponent.
Evaluate 3x-2 if x=5.
6
17
13
15
Answers
Answer:
[tex]13[/tex]
Step-by-step explanation:
The given expression is;
[tex]3x-2[/tex]
We want to evaluate this expression when [tex]x=5[/tex].
This means that, we substitute [tex]5[/tex] wherever we see [tex]x[/tex] in [tex]3x-2[/tex]
The expression will now be
[tex]=3(5)-2[/tex]
This will simplify to be
[tex]=15-2[/tex]
The final result is
[tex]=13[/tex]
The correct answer C.
Answer:
13
Step-by-step explanation:
To solve this problem, we need to use the substitution method - because we are given a value for x and asked to evaluate the expression.
Evaluate 3x - 2; x = 5
1. Substitute 5 in for x in the expression
3(5) - 2
2. Multiply
15 - 2
3. Subtract
13
Help! will give points for brainliest
This table shows the input and output values for an exponential function f(x) .
What is the ratio of outputs for any two inputs that are three values apart?
Enter your answer, as a simplified fraction, in the boxes.
table:
x −3 −2 −1 0 1 2 3
f(x) 827 89 83 8 24 72 216
Answers
Answer:
27
Step-by-step explanation:
Choose two outputs that are 3 values apart and find their ratio:
... f(3)/f(0) = 216/8 = 27
What is the equation of a line with an intercept of -3 and a slope of 5?
(Please provide step by step process, I will also give brainliest answer)
Answers
Answer:
y= 5x-3
Step-by-step explanation:
We have an intercept of -3 and a slope of 5
We can use the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
Substituting in the known values.
y= 5x-3
how do i find a median?
Answers
First you have to rearrange the numbers from greatest to least.
If there are any odd numbers then the median is in the center term.
If there is an even number of terms, you add the two middle terms and divide them by 2.
Final answer:
The median is found by arranging a data set in ascending order and locating the middle value for an odd number of values or averaging the two middle values for an even number. Quartiles divide the data into sections and are related to the median. The median offers a measure of the center that is not skewed by outliers.
Explanation:
To find the median of a data set, start by arranging the data in ascending order. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, calculate the median by taking the average of the two middle values.
For example, for the ordered data set 3, 4, 8, 8, ... 44, 44, 47, which has 40 values, the median is between the 20th value (24) and the 21st value (24). In this case, since they are the same number, the median is 24. However, if the two numbers were different, you would add them together and divide by two to find the median.
When considering a data set like 1, 1, 2, 2, 4, 6, 6.8, 7.2, 8, 8.3, 9, 10, 10, 11.5, with an even number of values (14), the median is the average of the 7th and 8th values, in this case, (6.8+7.2)/2 = 7. The quartiles can also be determined: Q1 is the median of the lower half, and Q3 is the median of the upper half of the data set.
Measures of the center of the data, like mean, median, and mode, offer different ways to represent the data set's central tendency. The median is particularly useful in data sets with outliers, as it is not as affected by extreme values as the mean.
What is the area of ACDE?
A.
24 square centimeters
B.
30 square centimeters
C.
60 square centimeters
Reset Next
Answers
Answer:
Option B is correct .i.e., 30 square centimeters
Step-by-step explanation:
We have to find area of ACDE.
From given figure ACDE is made up of two triangles ΔBCD & ΔABE
So, Area of ACDE = Area of ΔBCD + Area of ΔABE
Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]
⇒ Area of ACDE = [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]
= [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]
= [tex]6+2\times12[/tex]
= [tex]30\:cm^2[/tex]
Therefore, Option B is correct .i.e., 30 square centimeters
Two consecutive integers have a sum of 61 . Find the integers.
Answers
Answer:
The integers are, 30 and 31
Step-by-step explanation:
Given the statement: Two consecutive integers have a sum of 61 .
Let x and x+ 1 are the two consecutive integers.
then;
as per the given condition we have;
[tex]x +(x+1) = 61[/tex]
Combine like terms;
[tex]2x+1 = 61[/tex]
Subtract 1 from both sides ;
[tex]2x + 1-1 = 61 -1[/tex]
Simplify:
2x = 60
Divide both sides by 2 we get;
x = 30
and
value of x+1 = 30+1 = 31
Therefore, the integers are, 30 and 31.
Just number 28 but can you please help
Answers
This app gives you *instant* homework answers, all subjects Get it: https://socratic.org/a/p04dj0084n
First you would take the the y-intercept form. (y=mx+b)
And then plug in the slope so it’s:
y = -2x + b
After that plug in the x and y values from (0,4)
4 = -2(0) + b
Solve for b
B= 4
Now plug the b back into the equation along with the slope, and you should get:
y = -2x + 4