1) -88 ≤ -8(x+6)

2) 43 > -5k + 3 ≥ 8

Please show work :)

Answers

Answer 1

[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]

[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]


Related Questions

Nicholas borrowed $4 from his mother each of the last three months . How much money do owe his mother?

Answers

Multiply 4 by 3 to represent the amount he borrowed to the amount of months he did this.  

4 x 3 = 12

So, he owes his mother 12 bucks.

Use multiplication to solve this.
4 times 3 = 12
Nicholas owes his mom $12

are 3x + 2 and 3 (x + 2 ) equal

Answers

Answer:

No

Step-by-step explanation:

Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.

Which of the following rational functions is graphed below?

Answers

Considering the asymptotes, the rational function given below is the following:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:

x(x + 2).

The function has no x-intercepts, hence the numerator is of 1. So the function is given by:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

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x/2 = y/3
find value of x, y if x+y =30

Answers

Answer:

x=12, y=18

Step-by-step explanation:

I need help with solving this with synthetic division

Answers

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step-by-step explanation:

Set up the synthetic division.

Bring down the leading coefficient to the bottom row.

Multiply c by the value just written on the bottom row.

Add the column created in step 3.

What math do high schoolers learn? Do they only learn trigonometry, geometry and equations?

Answers

Answer:

trigonometry

Step-by-step explanation:

hopes this helps

Answer:

This depends on the level they are at. For example, I am a 7th grader in Algebra 1 Honors, but most students take Algebra 1 in high school. Classes range from Algebra 1 - Calculus in High school.

Step-by-step explanation:

Complete the table of values for x-y=6
On the grid, draw x+y=6

Answers

Answer:

couldnt draw sorry but heres the answers for a

Step-by-step explanation:

for x = -2

x+y= 6

-2+8=6

so y=8

for x=-1 do the same and y= 7

for x =0 y=6

for x=1 y=5

for x=2 y=4

for x=3 y=3

Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $300 per week, and spends $40 each week on his expenses. If he wants to save a total of at least $2,600, how many weeks at minimum does he have to work for in order to reach his goal?

Answers

Answer:

10 Weeks

Step-by-step explanation:

If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260.....  260x10=1200 So he would have to work 10 weeks at a minimum.

The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.

What is unitary method?

The unitary method is used to find the value of a single unit from a given multiple.

For example, the price of 40 pens is Rs. 400

It should be noted that the concept of ratio and proportion is used for problems related to this method.

According to questions,

He makes $300 per week

and spends $40 each week on his expenses.

Therefore his total savings per week = $300 -  $40

                                                              =  $260.

Also he wants to save a total of at least $2,600.

Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260

                       = 10 weeks.

Hence the required number of weeks = 10 weeks.

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A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number​

Answers

Answer:

The number = 45

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

10*x + y = 5(x + y)                        Start here: remove the brackets

10*x + y + 9 = 10y + x                   Subtract y and 10x from both sides

Using the first equation

10x + y = 5x + 5y

5x + y - 5y = 0

5x - 4y = 0

5x = 4y

y = 5/4x

From the second equation

9 = 9y - 9x

1 = y - x           Substitute y = 5/4 x

1 = 5/4x - x

1 = 1/4  x

x = 4

y = 5/4 * 4

y = 5.

how many drinks are contained in a 60 ounce pitcher

Answers

Answer:

fill three pint glasses, five 12-ounce glasses or six 10-ounce glasses.

Step-by-step explanation:

5/8 ,2/12 ,8/10 least to greatest

Answers

Answer:

2/12 5/8 8/10

Step-by-step explanation:

I hope this helps!!!

2/12 = 0.16

5/8 = 0.625

8/10 = 0.80

the equation of the line which passes through the point (0,5) and has a gradient of 4 is

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

Is that the right answer plzzzz help meee

Answers

Answer: Yes

Step-by-step explanation:

Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!

Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256

Answers

5-12 is the answer for 520 5-06

Given the function below find f(0).

f(x)=x2−3x+5

Group of answer choices

-5

0

5

10

Answers

Answer:

5

Step-by-step explanation:

f(x) = x² - 3x + 5

f(0)

putting x as 0 in the equation

f(0) = 0² - 3(0) + 5

= 0 - 0 + 5

= 5

bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat

Answers

The answer is 3/8 that he ate

Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???​

Answers

Answer:

1 decilitre  

Step-by-step explanation:

You can look up charts for these. Look up litre chart

write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2​

Answers

Answer:

y=7x-65

Step-by-step explanation:

Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)

−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false

Answers

Answer:

−2≤−2 True

6.1<6.1 False

5.6≥5.6 True

5.6≥5.6 True

−4>4  False

Step-by-step explanation:

Hence,  all the statements are true except option (4).

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.

[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].

Hence,  all the statements are true except option (4).

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all objects with mass have momentum. true or false

Answers

Answer:

False

Step-by-step explanation:

Even though I said that, an object that moves with a velocity has momentum but on the other way around as far the object is at rest the object will have a momentum of zero a.k.a no momentum.

One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are there in 3/4 inches?

Answers

Answer:

1.905

Step-by-step explanation:

Answer 1 and 2 seriously please.​

Answers

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

Answer pls in standard form too

Answers

Answer:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Step-by-step explanation:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

m(arc DE)=105 and M(arc BC)=70 Find M

Answers

Answer:

a. 70

Step-by-step explanation:

which angles are correspoding angles

Answers

Answer:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

Why is the addition or subtraction of k to the output of a function considered a translation?

Answers

Answer:

k translates a function up or down

Step-by-step explanation:

hope this helped :)

If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7

Answers

[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]

F(x)=3x-1
-7=3x-1
-6=3x
-6/3=x
X=-2

3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse

Answers

the answer is assocative

[tex] \huge \bf༆ Answer ༄[/tex]

The property shown in the given question is an example of B. Associative property

[tex] \sf3(4 \times 6) = (3 \times 4)6[/tex]

A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?

Answers

You do NOT have enough cups of sugar for 40 people
If a recipe calls for 1 1/2 OR 1.5 (decimal form) for 6 people then:
1.5/6 = 0.25 cups of sugar PER person

0.25 x 40 = 10 cups
We will need 10 cups of sugar for 40 people but the we only have 9 cups
therefore 9 cups arent enough for 40 ppl

To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I

Answers

The original

Equation is V = IR

Where I is multiplied by R

To solve for I you need to isolate it by dividing both sides by R

I = V/ R

Answer: divide both sides by R

Answer:

To make I a subject of the formula V = IR, we divide both sides by R.

Step-by-step explanation:

V = IR

V/R =IR/R

The R in IR/R cancels out because it is on the other side.

We then have:

V/R = I

Which can be written as:

I = V/R

Hope this helps! Have a great day!

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