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Explanation:
Solve the inequality for x.
5x + 4 < 29
5x < 29-4
5x < 25
x < 25/5
x < 5
I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.
Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.
That's why {3, 4} is the final answer.
---------------
An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.
Let's try x = 3
5x + 4 < 29
5(3) + 4 < 29
15+4 < 29
19 < 29
We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.
If we tried x = 5, then,
5x + 4 < 29
5(5) + 4 < 29
25 + 4 < 29
29 < 29
which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.
It takes 5 minutes to fill an empty aquarium to a depth of
5/8
meters. What is the unit rate in minutes per meter?
Answer:
1/8 meters per minute
Step-by-step explanation:
5/8 ÷ 5
I hope this helps!!
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
solve the following methods
don't know when you find out tell me
Which expression can be used to find the surface area of the following triangular prism?
5
5
2.
11
8.
Answer:
214.
Step-by-step explanation:
To get Surface area take
(cross section area) × 2 +(perimeter of crossection area × length)
the cross section area is a triangle
so area of a triangle =1/2 base times height
1/2×8×2=8
let's get perimeter of cross section
the cross section is still at triangle so let's find its perimeter.
5+5+8=18
18×length of which is 11
18×11=198
and 188 + 16=214. that's the answer
maybe you can get a expression from the work that I've just done cuz I can't see the answers clearly in the picture you have taken.if you don't mind just send the picture back then I'll get the answer.
pls help pls no links?
[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]
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What is the value of q
Answer:
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
Which values from the set negative 6, negative 4, negative 3, negative 1, zero, 2, satisfy this inequality?
Negative one half x, plus 3, is greater than or equal to 5.
Answer:
- 6
Step-by-step explanation:
- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )
- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by 2 to clear the fraction )
- x ≥ 4
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ - 4
The only value from the set which satisfies the inequality is
x = - 6
Plz HELP...(MATH)........
Answer:
36 times
Step-by-step explanation:
Because half the marbles are blue, you can predict that about half of the 72 times you will choose the blue marble, or 36 times.
Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?
HELP ME WITH THIS PLEASEEE !
Answer:
34 i think i got it really wrong but...
Step-by-step explanation:
Which of the functions below could have created this graph? O A. F(x) = - x ^ 0 + x ^ 3 - x ^ 2 O B. F(x) = - x ^ 2 + 4x ^ 3 - 2x ^ 2 C. F(x) = x ^ 9 + 12x ^ 8 + x ^ 7 D. F(x) = x ^ 2 + 4x ^ 4 + 20x ^ 2
Answer:
B
Step-by-step explanation:
even roots bounce at (0,0)
negative leading coefficient: initial graph descending to right, curve up
4 local extremes means remaining 5 degree of the function
The function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph. which is the correct answer would be an option (B).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To create a graph of the function F(x) = - x⁷ + 4x³ - 2x², you can follow these steps:
Choose a range of x-values to use for the graph. For example, you might choose x = -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2.
Substitute each x-value into the function to find the corresponding y-value. For example, if x = -1, then y = F(-1) = - (-1)⁷ + 4(-1)³ - 2(-1)² = -1 + 4 + 2 = 5.
Plot the points (x, y) on a coordinate plane. For example, you would plot the point (-1, 5) on the coordinate plane.
Connect the points with a smooth curve to create the graph of the function.
Therefore, we can conclude that function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph.
Learn more about the graphs here:
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Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.
Answer:
1.29s = 11.61
s = 9
Step-by-step explanation:
1.29s = 11.61
s = 11.61/1.29
s = 9
Answer:
The correct answer is Ari's work
Step-by-step explanation:
right on edge
Welcome!^^
An equation of a line is y = 3x -7. What would the SLOPE of a line parallel to this equation be?
Answer:
3
Step-by-step explanation:
If two lines are parallel then their slope is the same
y=mx+b
m= slope
b= y-intercept
Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno
Answer:
X^2+14x +40
Step-by-step explanation:
La base es x+4 y la altura es x+10 multiplicas la base por la altura
George has $3 in his savings account. He then adds $4 per day to the account. Let y represent the total amount in the account after x days.
Which equation represents this situation in the form of y=mx+b ?
Question 9 options:
y = 4x + 3
y = 3x + 4
y = 3/4x - 3
y = 4/3x - 4
Answer:
The answer is the 1st option, y = 4x + 3
Step-by-step explanation:
x is the amount of days that the 4 dollars will be multiplied by
( 4 * x )
The + 3 is the money that George already had in his savings account, so that money will be added to the total amount in his savings account.
( 4x + 3 )
Lastly, the y stands for the total amount of money in his savings account so the answer is the 1st option.
y = 4x + 3
Hope this helps! :)
if p(q) = q^2 4q- 12 then what is p(-1)
Help me find three different ratios that are equivalent to 3:11!! I need a explanation too!
Please helpppppppppppp
Answer:
5/4
Step-by-step explanation:
35/4 ÷ 14 = 5/4
That means 14 was multiplied by 5/4 to get 35/2
lesson 5 practice problems
Answer:
Step-by-step explanation:
ok ill help but can soke one help me too
HELP!!!
42 is the product of 6 and y
Answer:
7
Step-by-step explanation:
Divide the 42 by 6 to get your answer. 42/6=7
This also works in reverse. 6*7=42
The answer: 42 is the product of 6 and y=7
Ok done. Thank to me :>
Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=
Answer:
x = 6 ± 3√
Step-by-step explanation:
Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² - 12x + 36 = 90
Subtracting 90 from both sides.
x² - 12x - 54 = 0
To solve for x, we can use the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation
ax² + bx + c = 0.
In this case, a = 1, b = -12, and c = -54.
Substituting these values into the formula.
x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)
x = (12 ± √(144 + 216)) / 2
x = (12 ± √(360)) / 2
x = 6 ± 3 √(10)
Therefore,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
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plz help with my math hw
Answer:
cant see
Step-by-step explanation:
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
Will mark brainliest
Answer:
Point H is in the first Quadrant (5,4)
Step-by-step explanation:
Answer:
quadrant 1
Step-by-step explanation:
yw:)
What is the solution to this quadratic equation
How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions
Answer:
There is one solution to this system of equations
Step-by-step explanation:
When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.
Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after
that. Annalisa made 8 the first day and 12 each day after that.
Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:
Annalisa made 8 bags on Day 1Manolo had made 40 bags by Day 3Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.
Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:
= 16 + 12 + 12
= 40 bags
In conclusion, Annalisa made 8 bags on Day 1 and Manolo had made 40 bags on the 3rd day.
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Please help :)
M is the midpoint of segment AT.
Solve for X and AM
URGENT!!! THANK YOU!!!!!
Answer:
101,100
280
Here's your answer