Select the correct answer.

Sliva [168]

X + 1 < 5
x < 5 - 1
x < 4

u basically solve it like equations except for one important rule....with inequalities, when u multiply/divide by a negative number, the inequality sign changes directions. But we didn't have to deal with that rule in this particular problem

5 0

3 years ago

Using the numbers -4, 10, 8, 2, -3, -5, write down two expressions that equal 6. You can use any relevant operation. You have to

Valentin [98]

Answer:

$\sf \Bigg[ \frac{ ( - 4 \times ( - 3)) }{2} \Bigg] \: and \: \Bigg[ \frac{ - ( - 5 \times 8)}{10} + 2 \Bigg]$

Step-by-step explanation:

Given:

$The \: numbers \rightarrow -4, 10, 8, 2, -3, -5$

To find:

Two expressions that equal 6 using the given numbers

Solution:

Expression first,

Using numbers -4, 2, -3,

aligning the above numbers as,

$\frac{ ( - 4 \times ( - 3)) }{2}$

will out put 6.

Verification,

$\frac{ ( - 4 \times ( - 3)) }{2} = \frac{12}{2} = \cancel\frac{12}{2} = 6$

Expression second,

Using numbers 10,8,2,-5

aligning the above numbers as,

$\frac{ - ( - 5 \times 8)}{10} + 2$

will result 6.

Verification

$\frac{ - ( - 5 \times 8)}{10} + 2 = \frac{ 40}{10} + 2 \\ \\ \frac{ - ( - 5 \times 8)}{10} + 2= 4 + 2 \\ \\\frac{ - ( - 5 \times 8)}{10} + 2 = 6$

Thanks for joining brainly community!

5 0

2 years ago

Raquel can type 63 words every minnute.Rick type then Raquel in 135 minute?Circle the letter of the correct answer.A 1350 B 4599

lozanna [386]

Answer: 1350

Step-by-step explanation:

Here is the correct question.

Raquel can type an average of 63 words per minute. Rick can type 73 words per minute. how many more words can Rick type than Raquel in 135 minutes? Jared chose B as the correct answer. How did he get that answer? Jared said the answer is 4599. How did he get that answer?

Rick's word per minute= 73

Raquel's word per minute= 63

Ricks word in 135minute= 73×135 = 9855

Raquel's word in 135 minutes=63×135 = 8505

=9855 - 8505

= 1350

Rick can type 1350 more words than Raquel in 135 minutes.

Jared's answer is wrong. He got the answer by multiplying 63 by 73 which gives 4599.

8 0

3 years ago

Read 2 more answers

The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma

lilavasa [31]

Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)

3 0

3 years ago

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$

8 0

3 years ago

Read 2 more answers