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slega [8]
2 years ago
8

Please help, fast‍♀️‍♀️

Mathematics
1 answer:
kramer2 years ago
4 0

Inequalities are used to express unequal expressions.

The inequalities from the word problems are:

  • \mathbf{m - 3.5 \le -2}.
  • \mathbf{0 \ge 2x + 1}.
  • \mathbf{-\frac 12 \ge 2k - 4}

The statements from the inequalities are:

  • -4 is not a solution to \mathbf{x + 8 < -3}
  • -6 is not a solution to \mathbf{10 \le 3 - m}
  • -1 is not a solution to \mathbf{-3x \le -12.5}

  • Graph b represents \mathbf{x > -7}

<h3>The word problems</h3>

<u>1. A number minus 3.5 is less than or equal to -2</u>

The statement can be broken down into the following expressions

\mathbf{A\ number\ minus\ 3.5 \to m - 3.5}

\mathbf{less\ than\ or\ equal\ to\ -2 \to \le -2}

So, when the expressions are brought together, we have:

\mathbf{m - 3.5 \le -2}

<u>2. Zero is greater than or equal to twice a number x plus 1</u>

The statement can be broken down into the following expressions

\mathbf{Zero\ is\ greater\ than\ or\ equal\ to \to 0 \ge }

\mathbf{twice\ a\ number\ x\ plus\ 1\  \to 2x + 1}

So, when the expressions are brought together, we have:

\mathbf{0 \ge 2x + 1}

<u />

<u>3. -1/2 is at least twice a number k minus 4</u>

The statement can be broken down into the following expressions

\mathbf{-\frac 12\ is\ at\ least \to -\frac 12 \ge }

\mathbf{twice\ a\ number\ k\ minus\ 4\  \to 2k - 4}

So, when the expressions are brought together, we have:

\mathbf{-\frac12 \ge 2k - 4}

None of the options is correct

<h3>The solutions</h3>

<u>4. Tell whether -4 is a solution to x + 8 < -3</u>

We have:

\mathbf{x + 8

Subtract 8 from both sides

\mathbf{x + 8 - 8

\mathbf{x

The above inequality means that:

<em>x is less than -11</em>

-4 is not a solution, because -4 is greater than -11

<u>5. Tell whether -6 is a solution to 10 <= 3 - m</u>

We have:

\mathbf{10 \le 3 - m}

Subtract 3 from both sides

\mathbf{10 -3\le 3 - 3 - m}

\mathbf{7 \le  - m}

Multiply both sides by -1 (the inequality sign changes)

\mathbf{-7 \ge m}

Make m the subject

\mathbf{m \le -7}

The above inequality means that:

<em>m is less than -7</em>

-6 is not a solution, because -6 is greater than -7

<u>6. Tell whether -1 is a solution to -3x <= -12.5</u>

We have:

\mathbf{-3x \le -12.5}

Divide both sides by -3 (the inequality sign changes)

\mathbf{x \ge 4\frac16}

The above inequality means that:

<em>x is greater than or equal to </em>\mathbf{4\frac16}<em />

-1 is not a solution, because -1 is less than \mathbf{4\frac16}<em />

<h3>The graph</h3>

The inequality is given as: \mathbf{x > -7}

The less than sign (>) means that:

  • The graph would use an open circle
  • The arrow must point to the right

Only graph b satisfies this condition

Hence, the graph of \mathbf{x > -7} is graph b

Read more about inequalities at:

brainly.com/question/15137133

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2 (01.05)
lord [1]

Answer:

  y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 4 and (h, k) = (3, -2), the equation is ...

  y +2 = 4(x -3) . . . . . matches the first choice

3 0
3 years ago
Bailey has an hour to get ready for school. She spends 3/6 of the time getting dressed. She spends 1/4 of that time eating break
Katen [24]
Well, to find out whether she spent more time getting dressed or eating breakfast, we simply have to compare the fractions of the hour that she took on each.
We know that she took 3/6 of an hour to get dressed and 1/4 of an hour to eat breakfast. To find out which activity she spent more time on, we simply need to see which fraction is bigger.
To do this, we must first reduce the fractions to lowest terms. 1/4 is already in lowest terms, so we can leave that alone. 3/6 can be reduced, however, and since 3 goes into 6 twice, it reduces to 1/2.
Now, we can compare the fractions.
Is 1/2 of an hour or 1/4 of an hour more?
The answer is 1/2, so now we know that Bailey spent more time getting dressed than eating breakfast.
Hope that helped! =)
6 0
3 years ago
Rewrite the quadratic function in vertex form (which is also called a standard form) and give the vertex.
jasenka [17]

The vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5

<h3>How to rewrite the quadratic function?</h3>

The quadratic function is given as:

f(x) = x^2 - 3x

Differentiate the function

f'(x) = 2x - 3

Set the function to 0

2x - 3 = 0

Add 3 to both sides

2x = 3

Divide by 2

x = 3/2

Set x = 3/2 in f(x) = x^2 - 3x

f(x) = 3/2^2 - 3 * 3/2

Evaluate

f(x) = -9/5

So, we have:

(x, f(x)) = (3/2, -9/5)

The above represents the vertex of the quadratic function.

This is properly written as:

(h, k) = (3/2, -9/5)

The vertex form of a quadratic function is

f(x) = a(x - h)^2 + k

So, we have:

f(x) = a(x - 3/2)^2 - 9/5

In f(x) = x^2 - 3x,

a = 1

So, we have:

f(x) = (x - 3/2)^2 - 9/5

Hence, the vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5

Read more about vertex form at

brainly.com/question/24850937

#SPJ1

7 0
1 year ago
Help me please I need help bad
Sergio039 [100]

Answer:

The number of photo albums can be solved using the equation: 1.375n + 5 =60 and n=40 photo albums.  

Step-by-step explanation:

In order to find the number of photo albums, we need to set up an equation to find out how many pounds the crate would weigh with just the albums and divide by the weight of just one album, or 1 3/8.  To make it easier to calculate, we can turn 1 3/8 into a decimal of 1.375.  Since we know that 1.375 is the weight of each album, we can multiply our variable 'n' by this number.  The question also says that the crate itself weighs 5 pounds, so we have to include this weight into our equation as well.  If we add 1.375 times 'n' plus the  weight of the crate (5 pounds), then we get a total of 60 pounds.  When we write it out, it becomes: 1.375n + 5 = 60.  To solve for 'n', we need to use inverse operations to subtract 5 from both sides and then divide by 1.375 to get 40 albums.  

3 0
3 years ago
I’ll give out brainliest
Step2247 [10]

Answer:

its i :D

Step-by-step explanation:

thats should be it

3 0
3 years ago
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