Answer: [tex]x < 8\\[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Interval Notation: (-∞, 8)
The equivalent inequality to 5(2x-6)+6(3-x)<2x+4 is x < 8.
Let's simplify the given inequality step by step:
Original inequality: 5(2x - 6) + 6(3 - x) < 2x + 4
Distribute the constants inside the parentheses:
10x - 30 + 18 - 6x < 2x + 4
Combine like terms on the left side:
(10x - 6x) - 30 + 18 < 2x + 4
4x - 12 < 2x + 4
Subtract 2x from both sides to isolate the x terms on the left side:
4x - 2x - 12 < 4
Simplify:
2x - 12 < 4
Now, add 12 to both sides:
2x - 12 + 12 < 4 + 12
2x < 16
Finally, divide both sides by 2:
2x / 2 < 16 / 2
x < 8
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HELP PLEASE HELP PLEASE
Answer:
D 1/4
Step-by-step explanation:
Your question is a problem in reading comprehension. It tells you its own answer.
x is always 1/4
Can someone help me with this and pls explain how u did it if you’re able to I don’t need an explanation but it would be appreciated I’ll give brainliest if it’s correct
[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]
To find :-
The value of x
Given :-
Here 2 angles are given
142°, and (3x + 22)°
Solution :-
We can see here the 2 lines intersect each other.
And the angle is formed
Since the angles are just opposite to each other so they are equal.
142° = (3x + 22)° {vertically opposite angles}
[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]
Result :-
The value of x is 40°.
How do I do step by step
Answer:
1.1
Step-by-step explanation:
Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1
Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Scatterplot A displays the relationship between the car’s speed and fuel efficiency. Two transformations of the data are shown in scatterplots B and C. Scatterplot B displays the relationship between the car’s speed and the natural log of the fuel efficiency. Scatterplot C displays the relationship between the natural log of the car’s speed and the natural log of the fuel efficiency.
Which scatterplot best represents the relationship between a car’s speed and its fuel efficiency?
A linear model would best represent the relationship because scatterplot A is fairly linear.
An exponential model would best represent the relationship because scatterplot B is fairly linear.
A power model would best represent the relationship because scatterplot C is fairly linear.
A linear model would best represent the relationship because scatterplot C is fairly linear.
Answer:
A power model would best represent the relationship because scatterplot C is fairly linear.
Step-by-step explanation:
I think that is the answer but I am not sure between option 2 and 3. I would eliminate linear models for this graph for sure.
I hope I helped you a little!
Have a nice day! :)
find the absolute value of the complex number 4+4i
Answer:
4√2
Step-by-step explanation:
complex no, z=√(a2+b2)
where, a=4 and b=4
z=√(4*4+4*4)
z=√(16+16)=√(32)
z=4√2
The astronauts of Expedition 28 on the international Space Station spend 15 weeks in space. Convert the time to minutes.
4) Find the area of a
rectangular poster (in cm²)
that is 95 cm by 45 cm.
PLS HELPPPP
Answer:
I think it is 4275cm square.
Answer:
Area= 4275cm
Step-by-step explanation:
The area formula for a rectangle is length x width so if we plug in the numbers and multiply we get 4275 as our product.
Kay is making bead necklaces. She has 80 red beads and 64 blue beads. What is the greatest number of identical necklaces she can make if Kay wants to use all of the beads?
Answer:
32
Step-by-step explanation:
80/2 = 40
64/2 = 32
so she can make about 32
A rectangular prism has a length of 4 in., a width of 2 in., and a height of 2 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
Answer:
160
Step-by-step explanation:
Each cube is 1/2 inch, so there will be 2 cubes in each 1 inch of length. The dimensions of the prism in terms of the number of cubes are ...
length: 4 in ⇒ 4×2 = 8 cubes
width: 2 in ⇒ 2×2 = 4 cubes
height: 2 1/2 in ⇒ (2 1/2)×2 = 5 cubes
Then the number of cubes required to fill the prism is ...
8 × 4 × 5 = 160 . . . . cubes
The volume of the prism is equivalent to that of 160 1/2-inch cubes.
A manufacturer sells mirrors in the shapes of squares. The smallest size mirror the manufacturer sells has an area of 4 ft ^2. The largest size mirror has an area of 9 ft^2.
which graph represents the possible side lengths of the mirror sold by the manufacturer.
The domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3
How to determine the graph?The given parameters are:
Shape = SquareSmallest area = 4ft²Largest area = 9ft²The area (y) of a square of side length x is:
y = x²
Make x the subject
x = √y
When y = 9, we have:
x = √9 = 3
When y = 4, we have:
x = √4 = 2
This means that the domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3
See attachment for the graph
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What is the correct answer for the problem 3.12 x 4.0
Hi Brielle the correct answer to your question is 3.12 x 4.0 = 12.48
12.48
Your answer should be 12.48 I hope that helps you
During the last year the value of your house decreased by 20%. If the value of your house is $265000 what was the value of your house last year? Round your answer to the nearest cent if necessary
Answer:
53000
Step-by-step explanation:
I need help ASAP please
Enter the answer to the problem below, using the correct number of significant figures.
30.01 + 5.55 + 80.761
Answer:
116.32100
Step-by-step explanation:
The width of the desk is 7 in. The perimeter of the desk is 63 in. What is
the length of the desk?
The formula to find the perimeter of a rectangle is as follows:
[tex]P=2l+2w[/tex]
[tex]l[/tex] = length[tex]w[/tex] = widthSolving the QuestionWe're given:
[tex]w[/tex] = 7 inches[tex]P[/tex] = 63 inchesWe are solving for [tex]l[/tex]⇒ Plug the given information into the perimeter formula and solve for l:
[tex]P=2l+2w\\63=2l+2(7)\\63=2l+14\\49=2l\\l=24.5[/tex]
AnswerTherefore, the length of the desk is 24.5 inches.
(x - 2)2 + (y +13)2 = 150
Center:
Radius:
Answer:
Center: (2, -13)
Radius: 5√6
Explanation:
Equation: (x - 2)² + (y +13)² = 150
Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) is the center points, r is radius
Rewrite the equation:
(x - (2) )² + (y - (-13))² = (√150)²
Identify following's:
h = 2, k = -13, radius = √150 = 5√6
If f(x)= 5x-1 and g(x)=3x+2, find f(g(x)).
Pls help me!!
Answer:
15x+9
Step-by-step explanation:
f(g(x))
=f(3x+2)
=5(3x+2)-1
=15x+9
?/1
message
At the store in Michigan, a box of cookies is priced at $8.50. When Zach goes to the store he has a coupon for 30% off the box of cookies. In Michigan, there is a 4% sales tax. How much did Zach have to pay for the book?
Answer:
$5.72
Step-by-step explanation:
A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?
Answer:
90 red pens
Step-by-step explanation:
we need to find the least common multiple of the numbers 3 , 5 , 6 , 9
6 = 2 × 3
9 = 3²
then
LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90
The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder
Therefore the pack must have 90 pens or a multiple of 90
For example 180 , 270 ...
SOMEONE PLEASE HELP
Describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3sqrt x-h+k
Using translation concepts, it is found that the variable h shifts the function horizontally while the variable k shifts the function vertically.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
The translated function is given by:
[tex]y = \sqrt[3]{x - h} + k[/tex].
The variables work as follows:
Variable h is in the domain, hence it changes the function horizontally.Variable k is in the range, hence it changes the function vertically.More can be learned about translation concepts at https://brainly.com/question/4521517
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Ahab jumped 2 times in 4 minutes. at that rate, how many times would he jump in 9 hours?
Answer: 270
Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer
A prism is completely filled with 270 cubes that have edge length of 13
in.
What is the volume of the prism?
Answer:
593190 cubic inches
Step-by-step explanation:
to solve this equation you must first find out the volume of one cube
that can be modeled by 13*13*13 or more simply 13^3
13^3 = 2197
then you multiply that to 270
2197 * 270 = 593190
that is your answer
please help me asap!!
8. Compare the function g(x) modeled by the graph and the functionf (x) =
21x + 2) + 3.
True or false. Explain.
a) f(x) has a greater y intercept
b) g(1) > f(-1)
c) f(x) increases at a faster rate than g(x)over interval [0, 3).
Answer:
a) false
b) true
c) true
Step-by-step explanation:
Part (a)The y-intercept of a function is the point when x = 0
⇒ f(0) = 2|0 + 2| + 3
= 2|2| + 3
= 4 + 3
= 7
From inspection of the graph, the y-intercept of g(x) is (0, 7)
Therefore, the y-intercepts of f(x) and g(x) are the same.
"f(x) has a greater y-intercept" → false
Part (b)
From inspection of the graph, g(1) = 6
⇒ f(-1) = 2|-1 + 2| + 3
= 2|1| + 3
= 2 + 3
= 5
Therefore, g(1) > f(-1) → true
Part (c)The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
From inspection of the graph:
g(0) = 7
g(3) = 4
[tex]\textsf{average rate of change of g(x)} \implies \dfrac{4-7}{3-0}=-1[/tex]
f(0) = 7 (from part (a))
f(3) = 2|3 + 2| + 3
= 2|5| + 3
= 10 + 3
= 13
[tex]\textsf{average rate of change of f(x)} \implies \dfrac{13-7}{3-0}=2[/tex]
Function g(x) decreases over [0, 3] at the rate of -1
Function f(x) increases over [0, 3] at the rate of 2
Therefore, "f(x) increases at a faster rate than g(x) over interval [0, 3]" is true
**Please see the attached graph for reference**
The interval [0, 3] is shaded in grey
f(x) is shown in red
The added 2 points are f(-1) and g(1)
“for each expression find value that could be added as a constant term to make each expression a perfect square” these are two separate questions please help
Step-by-step explanation:
here you go hopefully it helps
Triangle LMN was dilated to create L’M’N. The coordinates of the pre-image and the image are shown in the table belowL(0,4) M(0.8) N(5.10) L’(0,10) M’(0,20) N’(12.5,25) find the scale favor that used in the dilation record your answer on the gird
Answer:
L'M'N' is scaled by 2.5
Step-by-step explanation:
10 / 4 = 2.5
20 / 8 = 2.5
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
Answer:
21
Step-by-step explanation:
To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.
The rectangle:
The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared
two right triangles:
The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9
Next, we add the two areas together: 12+9 = 21
Factorise
x2 + 11x + 30
What is the answer
Answer:
it's 13x+30
Step-by-step explanation:
What is the answer to this question: 100 + 100?
Answer:
200
Step-by-step explanate
100+100 = 200
used a calculator
In the diagram ABC = AFGD. Complete each statement.
Answer:
Rotate the second triangle, so the 30° angles line up with each other (C and D). Then you should be able to fill in the corresponding sides.
AB ≅ FG
AC ≅ FD
∠B ≅ ∠G
∠A ≅ ∠F
AC = 60
m∠F = 60°
Hope this helps.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 11
Step-by-step explanation:
All the sides of a rhombus are equal, so you can set the equations equal to one another.
2x + 46 = 7x - 9
Subtract 2x from both sides
46 = 5x - 9
Add 9 to both sides
55 = 5x
Divide both sides by 5
x = 11
Mark my answer as the brainliest if it helped you out!