Answer:
D
Step-by-step explanation:
First, we should find the equations of the two lines. The red line is just horizontal, and represents y = 4 while the blue line intersects the y-axis at -4 and every time it goes right one, it goes up 4, so it has a slope of four(also it looks kinda steep, so it cannot have a slope of 1/4). This means the equation is y = 4x - 4.
Notice the red line is dashed, that means the inequality is either less than or greater than. Also, the shaded part is below the vertical line, enclosing all the values of y less than 4, so the first inequality would be y < 4.
The blue line is solid, so it is either greater than or equal to or less than or equal to. To find out which one, we check to se where the point (0, 0) fits in:
y ? 4x - 4
0 ? 0 - 4
0 ? -4
Only a greater than or equal to sign would fit in: 0 ≥ -4
This means the answer is:
y < 4
y ≥ 4x - 4
which is option D
Answer:
Step-by-step explanation:
1)
The equation of a straight line:
y = k·x + b
x = 0
b = y = - 4
k = (y - y₀) / (x - x₀) = ( 4 - (-4)) / (2 - 0) = 8 / 2 = 4
y = 4·x - 4
2)
The equation of a straight line:
y = 4
3)
Shaded area:
y ≤ 4
y ≥ 4x - 4
Right answer:
D.
y ≤ 4
y ≥ 4x - 4
2/3+____=5/6 what Is the answer
Answer: 2/3+ 1/6
Step-by-step explanation: 2/3= 4/6 4/6 + 1/6 = 5/6
SUPER EASY ASAP !!!!!!
The function f (x) has steeper slope.
So, The Paige is correct.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The input output pairs of f (x) are (- 6, 5/2) and (- 1, 17/2)
And, The input output pairs of g (x) are (2, 13/3) and (6, - 1)
Now,
Find the slope for f (x) as;
m₁ = (17/2 - 5/2) / (- 1 - (-6))
m₁ = (15/2) / 5
m₁ = 15/10
m₁ = 3/2
And, Slope for g (x) is;
m₂ = (- 1 - 13/3) / (6 - 2)
m₂ = (- 16/3) / 4
m₂ = - 16 / 12
m₂ = - 4 / 3
Thus, The function f (x) has steeper slope.
So, The Paige is correct.
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Aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have
The number of nickels is 25
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
The total number of nickels and quarters = 63
Total value = $10.75
20 nickels = 1 dollar
4 quarters = 1 dollar
Now,
1 nickel = $0.05
1 quarter = $0.25
Let the number of nickels = x
Let the number of quarters = y
We can make equations as,
0.05x + 0.25y = 10.75 _____(1)
x + y = 63 ______(2)
From (2) we get,
x = 63 - y
Putting in (1) we get,
0.05 (63 - y) + 0.25y = 10.75
3.15 - 0.05y + 0.25y = 10.75
3.15 + 0.20y = 10.75
0.20y = 10.75 - 3.15
0.20y = 7.6
y = 7.6/0.20
y = 38
Now,
x = 63 - y = 63 - 38 = 25
Thus,
The number of nickels is 25
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write the equation using function notation
x - y = -4
A) f(x) = x - 4
B) f(x) = x + 4
C) f(x) = -x + 4
D) f(x) = -x - 4
Answer:
B
Step-by-step explanation:
[tex]x-y=-4 \\ \\ x-f(x)=-4 \\ \\ f(x)-x=4 \\ \\ f(x)=x+4[/tex]
A rectangular-shaped object has a mass of 120 grams. It is 5cm long, 2cm wide, and 3cm high. Solve the following:
V-
Hint: Make sure to use your units in your answer!!!
D-
Blank 1:
Blank 2:
Answers:
V = 30 cubic cm
D = 4 grams per cubic cm
=========================================================
Explanation:
The volume of a rectangular solid (aka block or brick) is equal to its length times width times height
V = length*width*height
V = 5*2*3
V = 10*3
V = 30 cubic cm
-------------
You haven't mentioned it, but the "D" probably refers to the density. This is a measure how much stuff occupies a certain volume of space. The higher the density, the more stuff in that space. Think of it like cramming more packing peanuts in a box.
To find the density, we divide the mass over the volume
density = mass/volume
density = (120 grams)/(30 cubic cm)
density = 4 grams per cubic cm
In each cubic centimeter of space, there are 4 grams of mass.
in 4 and 5, find each sum. Use fraction
to help.
4. 1/2 + 2/5 = 9/10 + =
643251 to the nearest then thousands
Answer:
64000
Step-by-step explanation:
When you are rounder you must look at the last number to determine if you are rounding up or down.
In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?
For the given triangle, its greatest possible perimeter is 45 cm.
What is the perimeter?The term perimeter has to do with the distance round on object. In this case we do have a triangle and the triangle has three sides. The perimeter of the triangle would be the distance round the triangle.
From the statements we have;
Third side = 15
second side = x
first side = 3x
Then;
x + 15 > 3x
15 > 3x - x
15> 2x
x < 7.5
Thus;
For the first side; 3 * 7.5 = 22.5
For the second side = 7.5
Third side = 15
Greatest possible perimeter of the triangle = 22.5 + 7.5 + 15
= 45 cm
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Please help me please
Answer:
16.53
Step-by-step explanation:
Start by finding the length of the line in the center. I will call this line a. Using the Pythagorean Theorem with 12.3 as the hypotenuse:
[tex]c^2=a^2+b^2\\a=\sqrt{c^2-b^2} \\a=\sqrt{12.3^2-5.4^2} \\a=\sqrt{122.13} \\a=11.05[/tex]
Now that this line is known, x can be found. Once again using the Pythagorean Theorem:
[tex]x^2=a^2+b^2\\x=\sqrt{a^2+b^2} \\x=\sqrt{12.3^2+11.05^2} \\x=\sqrt{273.39} \\x=16.53[/tex]
Yolanda got a prepaid debit card with$20 on it. For her firt purchae with the card, he bought ome bulk ribbon at a craft tore. The price of the ribbon wa 16 cent per yard. If after that purchae there wa $12.32 left on the card, how many yard of ribbon did Yolanda buy?
Answer:
Yolanda bought 48 yards of ribbon, and spent 7.68 cents on it.
Step-by-step explanation:
First Step: Find out how much Yolanda spent
20.00 -12.32 = 7.68
Second Step: Divide Total Cost by Price of one Yard
7.68/0.16 = 48
Third Step: Double Check
48 x 0.16 = 7.68
I hope my answer helped you, good luck on your homework!
bju pre algebra homework, due tomorrow. (please dont do questions 1-6)
Solve for x in the equation x + 9 = −25. −34 −16 25 34 NEED HELP ASAAAAAAAPPPP
The heat in the house is set to keep the minimum and maximum temperatures (in degrees fahrenheit) according to the equation |x – 72. 5| = 4. What are the minimum and maximum temperatures in the house? 72. 5°f and 76. 5°f 68. 5°f and 76. 5°f 70. 5°f and 74. 5°f 72. 5°f and 74. 5°f.
The indoor temperature ranges between 68.5 and 76.5 degrees Fahrenheit.
Given data;
According to the equation |x - 72. 5| = 4, the home's heating system is configured to maintain the minimum and maximum temperatures (in degrees Fahrenheit).
To find the minimum and maximum temperatures in the house,
We know that modulus is used to make a negative value into a positive;
|x - 72. 5| = 4
|A| = -A < x < A
|x - 72. 5| = 4
⇒ x - 72.5 = -4 x - 72.5 = +4
x = 72.5 - 4 x = 4 + 72.5
x = 68.5 x = 76.5
Hence, the minimum and maximum temperatures in the house are 68.5 and 76.5 Fahrenheit.
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Write the equation of a line that is perpendicular
to -y = -x and contains point (−1,−1)
Answer:
y = - x
Step-by-step explanation:
-y = -x is the same as y=x and to get an equation that is perpendicular to another one you just have to find the reciprocal (opposite) number of the SLOPE. The reciprocal of 1 is -1, therefore the perpendicular equation to -y=-x is y=-1
1.209, 1.9, 3.76, 1.29 order these numbers from least to greatest
Answer:
1.209 < 1.29 < 1.9 < 3.76
Step-by-step explanation:
PLEASE HELP!
Simplify the expression to a + bi form:
√25 + √-81 + √25 - √-16
Answer:
10 + 5i
Step-by-step explanation:
[tex] \rm \implies \sqrt{25} + \sqrt{ - 81} + \sqrt{25} - \sqrt{ - 16} \\ \\ \rm \implies 5 + 9i + 5 - 4i \\ \\ \rm \implies 10 + 5i[/tex]
what is they intercept of this quadratic function? f(x) = -x2 + 10x - 22
Answer:
(0,-22)
Step-by-step explanation:
Plug in 0 for x and solve for y
I need help with this
How many minutes are in 1 hour and 3/4? How do you solve it as well?
Answer:
Step-by-step explanation:
105 min
60 min in a hour and then 3/4 of a hour is 45 min.
Total: 105 minutes
Triangle DOG i an iocele with bae angle D and G. Line egment DO i one more than the quare of a number, and line egment OG i two le than four time a number. Line egment DG i three le than twice the number. Find the number, the length of the leg, and the length of the bae
Answer:
the number is 3DO = OG = 10DG = 3Step-by-step explanation:
Given isosceles triangle DOG with DO≅GO, DO = (n²+1), GO = (4n-2) and DG = (2n -3), you want the value of n and the lengths of the sides.
SetupThe expressions for the congruent sides will have the same value, so ...
DG -GO = 0
(n² +1) -(4n -2) = 0
Solutionn² -4n +3 = 0 . . . . . . . . simplify
(n -3)(n -1) = 0 . . . . . . factor
n = 1 or 3 . . . . . . . . values of n that make the factors zero
The length of leg DG is ...
2n -3 = 2{1, 3} -3 = {2, 6} -3 = {-1, 3}
Side DG cannot be negative, so the "solution" n = 1 is extraneous.
GO = 4n -2 = 4(3) -2 = 10
The number is 3, the leg lengths are DO = OG = 10, and the base length is DG = 3.
Help me with this question
Point A, C and F lies on the given line y = [tex](\frac{1}{4} )^{x}[/tex] .
Given in question,
y = [tex](\frac{1}{4} )^{x}[/tex]
y = [tex]4^{-x}[/tex]
Points A(-2,16), B(2,8), C(-1,4), D(0,4), E(1,4), F(0,1) and G(-2,0)
We will points in the equation.
For point A(-2,16)
[tex]16 = 4^{-(-2)}[/tex]
[tex]= 4^{2}[/tex]
[tex]16=16[/tex] True
For point B(2,8)
[tex]8= 4^{-2}[/tex]
[tex]=\frac{1}{4^{2} }[/tex]
[tex]=\frac{1}{16}[/tex]
[tex]8=\frac{1}{16}[/tex] False
For point C(-1,4)
[tex]4=4^{-(-1)}[/tex]
[tex]=4^{1}[/tex]
[tex]4=4[/tex] True
For point D(0,4)
[tex]4=4^{-0}[/tex]
[tex]4= 1[/tex] False
For point E(1,4)
[tex]4=4^{-1}[/tex]
[tex]4=\frac{1}{4}[/tex] False
For point F(0,1)
[tex]1=4^{-0}[/tex]
[tex]1=1[/tex] True
For point G(-2,0)
[tex]0=4^{-(-2)}[/tex]
[tex]= 4^{2}[/tex]
[tex]0=16[/tex] False
Hence, only point A,C and F satisfies the equation.
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Write the first 4 terms of the sequence defined by the given rule.
4. f(n) = n³-1
The first four terms of the sequence defined by the rule f(n) = n³-1 are -1, 0, 7 and 26.
According to the question,
We have the following expression:
f(n) = n³-1
Now, in order to find the first four values of the given expression, we will change the values of n from 0 to 3.
So, putting the value of n as 0, we have:
f(0) = 0³-1
0-1 = -1
Now, putting the value of n as 1, we have:
1³-1
1-1
0
Now, putting the value of n as 2, we have:
2³-1
8-1
7
Now, putting the value of n as 3, we have:
3³-1
27-1
26
Hence, the first four terms of the sequence defined by the rule f(n) = n³-1 are -1, 0, 7 and 26.
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the eigenvectors of the covariance matrix show the direction in which the data has the highest correlation. true or false
It is true that the eigenvectors of the covariance matrix are equal to the principal components. Concretely, the first principal component (i.e. the largest eigenvector and associated largest eigenvalue) gives you the direction of the maximum variability in your data
The covariance matrix's eigenvectors are identical to its major components, which is a well-known fact. In more concrete terms, the direction of the most variability in your data is provided by the first principal component, which is represented by the largest eigenvector and related largest eigenvalue. After that, each primary component provides you decreasingly variable output. The fact that each primary component is orthogonal to the others is also important to note.
The above picture was taken from the Principal Component Analysis article on Wikipedia, which I previously referred to. This is a scatter plot of samples having a bivariate Gaussian distribution with a center at (1,3), a standard deviation of 3 roughly in the (0.878, 0.478) direction, and a standard deviation of 1 roughly in the orthogonal direction. The first principal component is the one with a standard deviation of 3, and the second is the orthogonal component. The shown vectors are the eigenvectors of the covariance matrix scaled by the relevant eigenvalue's square root and moved to place their tails at the mean.
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During one month andre used 785 gallons of water at his home. There are approximately 3. 8 liters in 1 gallon. Which measurement is closest to the number of liters andre used during this month?.
Andre used 2983 gallons of liquid all through this month.
Given;
Andre used 785 gallons of water at his house in a single month. In a gallon, there are roughly 3.8 liters.
To get the measurement that is closest to the number of liters Andre used during this month;
The total gallons of water used in a month = 785 gallons
The quantity of water in a single gallon = 3.8 liters
Therefore, the number of liters Andre used during this month;
U = total gallons of water used in a month * quantity of water in a single gallon
U = 785 * 3.8
U = 2983
Hence, the number of liters Andre used during this month is 2983 gallons.
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Please help me I really need help
Answer:
No
Step-by-step explanation:
parallel is when 2 lines never touch and move in the same direction and these touch and move in different directions
Hopes this helps please mark brainliest
A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?
Follow the steps to decide on the party location.
1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite. (2 points)
2. Write an expression for the amount you would spend on a birthday party at the skating rink. (2 points)
3. How many people could you invite to the bowling alley? Show how you found your answer. (2 points)
4. How many people could you invite to the skating rink? Show your work. (2 points)
5. To which location could you afford to invite more people? (2 points)
Answer:
I'll try my best B r u h ....
Step-by-step explanation:
Bowling:
15+5x where x is the number of people
Skating:
20+3x
We have 50 dollars so the amount must be less than or equal to 50
Bowling
15+5x≤50
Subtract 15 from each side
15-15+5x≤50-15
5x ≤35
Divide each side by 5
5x/5 ≤35/5
x ≤7
She can have 7 or less people
Skating
We have 50 dollars so the amount must be less than or equal to 50
20+3x ≤50
Subtract 20 from each side
20-20+3x ≤50-20
3x ≤30
Divide each side by 3
3x/3 ≤30/3
x ≤10
She can have up to 10 people
She can invite more people skating
Hope this helped.
999you want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size if the margin of error . please choose the correct answer from the following choices, and then select the submit answer button. answer choices
The needed sample size Smaller if the margin of error .
Given,
In the question:
This question in the form of: Fill in the blanks.
So, You want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size_____ if the margin of error.
Hence, The answer is smaller the margin of error.
Let's Know:
What is Confidence level?
The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.
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Rewrite in simplest terms: (-10x+2)+(-9x+8)
The simplest form of the given expression is -19x + 10.
The process or product of making something less complicated and thus easier to do or understand is called simplification. Replace 'of' with 'Multiplication' and '/' with 'Division.' Always perform operations in the order specified by 'BODMAS.' Division and multiplication are both given equal weight (Starting from left) Subtraction and addition have the same.
Given that
(-10x+2) + (-9x+8)
We have to simplify the given expression
= -10x + 2 - 9x + 8
= (-10x - 9x) + (2 + 8)
= -19x + 10
Therefore the simplest form of the given expression is -19x + 10
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A helicopter hovers 60 m above the ocean's surface. A submarine is resting 30 m
underwater, directly below the helicopter. What is the difference between the positions of these two objects?
Answer:
90 m
Step-by-step explanation:
because the helicopter is 60 m up and the submarine is 30 m under so combining the two helps us identify the difference between the two objects
There are 163 students going on a field trip to pan for gold.
If they are going in vans that hold 9 students each, how many vans are needed? How many students will ride in the van that isn't full?
Please answer and thank you
Answer:
Step-by-step explanation:
18 Vans. That will hold 162 Students if 9 student per Van
19 Vans since we need 163.
Answer: 19 Vans, and All but one will be full the one that isn't full holds one Student.