Mathematics High School

For this equation: I don't care what the answer is, I need to know how to solve for it. Thanks.


Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points)

{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}

Answers

Answer 1
Answer:  C)   {3, 4}

======================================================

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.

Related Questions

HELP ME WITH THIS PLEASEEE !

Answers

Answer:

34 i think i got it really wrong but...

Step-by-step explanation:

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.

Answers

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!^^

Which expression can be used to find the surface area of the following triangular prism?
5
5
2.
11
8.

Answers

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.


Please helpppppppppppp

Answers

Answer:

5/4

Step-by-step explanation:

35/4 ÷ 14 = 5/4

That means 14 was multiplied by 5/4 to get 35/2

Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno

Answers

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

What is the solution to this quadratic equation

Answers

The answer is: B, C, and E

(0,12)
(2,0)
(6,0)

Help me find three different ratios that are equivalent to 3:11!! I need a explanation too!

Answers

You can do
3 * 2 and 11 * 2 which would be 6:22 and is still equal to the ratio 3:11. Your explanation can be the when divided by 2 or the number you multiplied by, you would get the original ratio
Examples:
6:22
9:33
12:44

Plz HELP...(MATH)........

Answers

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.

I was so late when I got to this question I could of helped earlier:/

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=

Answers

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)

Learn more about equations here:

https://brainly.com/question/17194269

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Please help :)
M is the midpoint of segment AT.
Solve for X and AM

Answers

Because M is the midpoint of segment AT
So AM = TM
<=> 5x = 3x + 4 <=> 5x - 3x = 4
<=> 2x = 4 <=> x = 2

The answer: x = 2
Ok done. Thank to me :>

What is the value of q

Answers

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)

URGENT!!! THANK YOU!!!!!

Answers

Answer:

101,100

280

Here's your answer

No files or links please!

graph y= -4/3 x+2 using the slope and y-intercept


slope: 3


y-intercept: (0,-2)

Answers

this is the line as it passes through (-2) and 3

Will give brainliest

Answers

Slope equals rise over run

The distance of the points is 4 units down and 2 units right

-4/2 = -2

Slope = -2

How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions

Answers

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.

Answers

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 3

Annalisa 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.

Find out more about this at https://brainly.com/question/11864663.

lesson 5 practice problems

Answers

Answer:

Step-by-step explanation:

ok ill help but can soke one help me too

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.

Answers

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

HELP!!!

42 is the product of 6 and y

Answers

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 :>

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?​

Answers

I should be any more points for this but 26 per cubic meter he only has 1500 but that’ an answer of 14,000 600 m³

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

Answers

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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if p(q) = q^2 4q- 12 then what is p(-1)

Answers

the solution:

(1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = q2-4q-12

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Aq2+Bq+C,the q -coordinate of the vertex is given by -B/(2A) . In our case the q coordinate is 2.0000

Plugging into the parabola formula 2.0000 for q we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 12.0
or y = -16.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = q2-4q-12
Axis of Symmetry (dashed) {q}={ 2.00}
Vertex at {q,y} = { 2.00,-16.00}
q -Intercepts (Roots) :
Root 1 at {q,y} = {-2.00, 0.00}
Root 2 at {q,y} = { 6.00, 0.00}

plz help with my math hw

Answers

Answer:

cant see

Step-by-step explanation:

An equation of a line is y = 3x -7. What would the SLOPE of a line parallel to this equation be?

Answers

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

your answer would be 3 :) have a good day

​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

Answers

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! :)

Plz help me thx
Simplify:

Answers

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


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?

Answers

Answer:

1/8 meters per minute

Step-by-step explanation:

5/8 ÷ 5

I hope this helps!!

pls help pls no links?​

Answers

[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]


Will mark brainliest

Answers

Answer:

Point  H is in the first Quadrant (5,4)

Step-by-step explanation:

Answer:

quadrant 1

Step-by-step explanation:

yw:)

solve the following methods

Answers

don't know when you find out tell me

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