The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Thank you!!!!!!!!
Answers
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)
Related Questions
I Given f(x) = 3x + 2 and g(x)= x? – 5. Find each of the following functions.
1. (f+g)(x)
2. (f- g)(x)
3. (fg)(x)
4. (f/g)(x)
2
Answers
Answer:
a) 4x-3
b)2x+7
c) 3x^2-13x-10
d) (3x^2+2)/(x-5)
Step-by-step explanation:
If you care to learn how these were solved and weren't just looking for answer let me know.
=2 2/5 x 4 (What is the answer?)
Answers
Answer:
um 22 /20
is the question
if it's the case of factorised
than answer is 11/10
Answer:
48/5
Step-by-step explanation:
I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].
This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]
How do you figure out the value of 1/10th of 20.44
Answers
18% of 200 is between which two numbers?
Answers
Answer:
35&37
Step-by-step explanation:
Well 18% of 200 is 36 so...
Carlos earns $7.50 per hour cutting grass on the weekends with his dad. Last Saturday, he worked 5 and 1 over 2 hours. On Sunday he worked 8.5 hours. How much money did Carlos earn last weekend?
Answers
Answer:
$105
Step-by-step explanation:
5.5+8.5=14
14 * 7.5=105
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
Answers
Answer:
[tex]r=4[/tex]
Step-by-step explanation:
We know that the slope of the line is -1.
We also know that the line passes through (-9, 3) and (-10, r).
We want to find the value of r.
First, let's figure out the equation of our line. We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).
Substitute:
[tex]y-(3)=-1(x-(-9))[/tex]
Simplify:
[tex]y-3=-(x+9)[/tex]
Distribute:
[tex]y-3=-x-9[/tex]
Add 3 to both sides. So, our equation is:
[tex]y=-x-6[/tex]
It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:
[tex]r=-(-10)-6[/tex]
Evaluate for r. Distribute:
[tex]r=10-6[/tex]
Subtract:
[tex]r=4[/tex]
So, the value of r is 4.
And we're done!
How can you solve linear equations by combining like terms?
Answers
Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
I HOPE THIS HELPED ! :) mark me brainlist pls
Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6
Stanley is looking to retire and move near the ocean. The Jersey Shore has seen a rise in sea levels the past few years. These high tides have caused floods in 100 places that call themselves Jersey Shore towns, which are on or within reasonable distance of the ocean. Stanley is nervous about possible floods and would like to be prepared for costs associated with them. As Stanley’s friend and an expert in risk management, you collect past information and have constructed the following probability distribution for the number of floods per town per summer at the Jersey Shore. # of floods per town per summer Probability 0 0.10 1 0.15 2 0.26 3 0.30 4 0.15 5 0.04 a. Calculate the expected frequency of floods per town per summer. (2 points) b. Calculated the variance. (2 points)
Answers
Answer:
2.37 ; 1.6731
Step-by-step explanation:
Given the data:
X:___0____1____2____3____4____5
P(x):_0.10_0.15_0.26__0.30_0.15__0.04
the expected frequency of floods per town per summer
Σ(flood per Town per summer) * probability
Σ(X)*p(x)
Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)
= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)
= 2.37
Variance (s²) :
Σ[x². P(x)] - u²
Using an online variance calculator to save computation time :
s² = 16731 / 10000
s² = 1.6731
Find the equation of this line.
Simplify the fractional part.
(Picture)
Answers
Answer:
y = 1/3x + 2
Step-by-step explanation:
Rise over run + y intercept
Perform the indicated operations. Express the result in scientific notation.
(5.7 x 105) + (4.6 x 106)-(2.9 x 105)
O 7.4 x 105
O 3.3 x 106
O 4.88 x 106
O 5.17 x 106
Answers
Answer:
The answer is C 4.88 x 106
Step-by-step explanation:
Points A’, B', and ' are the images of 180-degree rotations of A, B, and C, respectively, around point 0.
MB
C'
А
A
799
35°
0
С
B
Answer each question and explain your reasoning without measuring segments or angles.
1.
Name a segment whose length is the same as segment AO.
2.
What is the measure of angle A'OB'?
Answers
Answer:
otation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin.(i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5) ii) The new position of the point B (-2, 7) will be B' (2, -7) (iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution:
180 Degree Rotation
0Save
When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution:
180 Degree Rotation about the Origin
0Save
On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
Step-by-step explanation:
Find the maturity value and the compound interest if $3,600 is invested at 6% compounded semi-
annually for 5 years and 7 months. Round your final answers to 2 decimal places
Answers
Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.
Step-by-step explanation:
Will give brainliest if all answers! plz do it in under 30 min. Will accept by a hour.
You dont have to answer all of them but if you do I will give brainliest!
Answers
Answer:
B A C C
Step-by-step explanation:
12x ÷ 4y (if x = -8 and y = 3)
Answers
Answer: -8
Step-by-step explanation:
what is the product of 0.086 x 10 power 2
Answers
Answer:
The product is 8.6
Step-by-step explanation:
you move two decimal places to your right
The ratio of my action to comedy movies is 4:5. If I have 35 comedy movies, how many are action? *
Answers
Answer:
28 action movies
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{5} = \frac{x}{35}[/tex] Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28So, if you have 35 comedy movies, you would have 28 action movies.I hope this helps!
What would be the Range of this Pattern?
A. All integers greater than 4
B. All integers greater than 0
C. All real numbers greater than 6
D. All real numbers
Answers
Answer:
All integers greater than 4
Step-by-step explanation:
I took the test.
Henry wants to earn at least $41 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Henry could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answers
Answer:
8t - 7 ≤ 41 || t ≤ 6
Step-by-step explanation:
8t - 7 ≤ 41
+7 +7
---------------
8t ≤ 48
÷8 ÷8
----------------
t ≤ 6
WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
a
The slope is Negative four-thirds, and the y-intercept is 4.
b
The slope is Negative four-thirds, and the y-intercept is 3.
c
The slope is Negative three-fourths, and the y-intercept is 4.
d
The slope is Negative three-fourths, and the y-intercept is 3.
Answers
Answer:
its d
Step-by-step explanation:
y=-3/4+3 I think that's right
Answer:
D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3
Please vote brainliest :)
Find all the factors of 125
Answers
Answer:
1,5,25,125,
all can be added or multiplied to equal 125
Write an equivalent expression so that each factor has a single power. Let m, n, and p be numbers.
Answers
Answer:
a^m-n
Step-by-step explanation:
If we have the expression m^a / m^n, we can use exponent rules to simplify this.
Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.
So a^m / a^m will be equal to a^m-n
Hope this helped!
Imran and Sarah share 24 sweets between them in the ratio 2:1
How many sweets does Imran get?
Answers
The correct answer is 12.
I hope this helps you!!
I WILL GIVE BRAINLYIST!!
For every 4 apples, there are
_____oranges
Answers
Answer:
12
Step-by-step explanation:
so here, the ratio of apples to oranges is 1:3. this can also be represented as the fraction 1/3. now, we are trying to find the number of oranges when there are 4 apples using this ratio. this means 1/3=4/x, where x is the number of oranges. we can multiply 1 by 4 (the numerator) to get 4, so we can multiply the denominator of the first fraction by 4 as well 3*4=12, so there are 12 oranges for every 4 apples. (4/12 can also be written as 4:12.)
Answer:
12
Step-by-step explanation:
nos of oranges for 4 apples = 4x 3
= 12
therefore, the ratio is 4:12 i.e. 1:3
pls mark as brainliest!
7 is 10 times the value of what number
Answers
Answer:
0.7
Step-by-step explanation:
7/10=0.7
Image attached below. Please help.
Answers
Answer:
T,F,T,F,T
Step-by-step explanation:
1. It crosses it there becuase 4(0)-15=-15 for y
2: both top and middle answers are -23, so continuous
3: it increases over that period because the exponent keeps getting bigger
4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing
5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.
A restaurant uses 4 pounds of potatoes for a party of 12 people if they are cooking potatoes for a party of 60 people,what should they do?
Answers
Answer:
They should multiply the amount of potatoes by 5. 12 is 1/5 of 60. Therefore, if you need 4 pounds of potatoes for 12 people, then you will need 20 pounds of potatoes for 60 people.
Step-by-step explanation:
Help! I’ll mark you brainly and give extra points!!
Answers
Answer: 4. No, the graph is NOT a function because using the vertical line test, it intersects at two points at a time.
5. Yes, it is a relation, and it is also a function because once those points are plotted if given the vertical line test, there would not be two points crossed at once. So, yes, it is a function.
6. Yes, it is a relation. No, it does NOT make up a function because a vertical line would intersect all the points given.
(WILL MARK BRAINLIEST!)
What is 0.08 written as a fraction in simplest form?
A. 1/125
B. 2/25
C. 1/12
D. 4/5
Answers
Answer:
B. 2/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
B. 2/25
11/12 of the disk space on a
hard drive is unused. 3 people
need to use the remaining disk
space evenly. How much of the
total disk space will 1 user get?
Answers
Answer:
2 whole number 1 out of 4
Step-by-step explanation:
11/12 x 3
11/4 = 2remainder 3
2 whole number 3 out of 12
When u reduce it will be 2 whole number 1 out of 4
find the value of x. Please help!!!
The answer is 8. Teacher gave us the answer , but I need to show my work.
Answers
Answer:
51+(4x+7)=90
4x+58=90
-58 -58
4x=32
4x/4=32/4
x=8
Step-by-step explanation: