Ask question

Ask question

All categories

Alenkasestr [34]

1 year ago

9

the inequality −7(x − 4) < 84 is given. Part A: Solve the inequality and show every step of your work. (4 points) Part B: Exp

lain in words how to graph the solution to the inequality on a number line. (4 points) Part C: Find two values that would make the inequality true. Explain how you know the values are solutions to the inequality. (4 points) PLEASE HELP ASAP

1 answer:

slega [8]1 year ago

4 0

The solutions for each part are as follows:

A. The solution of this inequality is x > -8

B. Open dot at x = -8 must be drawn.

C. x = 1 and 2 are solutions of x > -8

<h3>What is fundamental inequality?</h3>

An inequality in mathematics is a relation that compares two numbers or other equations in an unequal way.
The majority of the time, size comparisons between two integers on the number line are made.

Given: The inequality is −7(x − 4) < 84

A. Dividing the inequality by -7

−7(x − 4) < 84

(x-4) > 84/-7

(x-4) > -12

x > -12+4

x > -8

The solution of this inequality is x > -8

B. Because x = -8 is not a solution, we must draw an open dot there on the graph before shading the whole area to its right.

C. Any two numbers greater than -8 can be used as the two values needed to make the inequality true.

For illustration, we can use:

x = 1

x = 2

These two numbers are solutions of x > -8.

The solutions for each part are as follows:

A. The solution of this inequality is x > -8

B. Open dot at x = -8 must be drawn.

C. x = 1 and 2 are solutions of x > -8

Learn more about inequality here:

brainly.com/question/25275758

#SPJ1

You might be interested in

Write an equation of the line passing through the point (1, 9) that is parallel to the line y=3x−2.

marta [7]

(3,2);y=3x-2
The equation is in slope-intercept form...
y=mx+b
m is the slope.
b is the y-intercept, the value of y when x=0.
Slope is 3.
Any line parallel to this has the same slope.
Point-slope formula...
y-y1=m(x-x1)
y-2=3(x-3)
y-2=3x-9
Let's add 2 to both sides...
y-2+2=3x-9+2
y=3x-7

Let's check our work...
(3,2)
2=[(3)(3)]-7
2=9-7
2=2

7 0

3 years ago

Read 2 more answers

11. The scale for a drawing of the tennis court is

Ivenika [448]

Answer:

I believe the correct answer would be 220 meters.

Step-by-step explanation:

If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.

3 0

4 years ago

4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4

eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

$a_n=a_1+d(n-1)$ and we are given enough info to fill in:

$a_n=-35+4(n-1)$ and

$a_n=-35+4n-4$ and

$a_n=-39+4n$ or in linear format:

$a_n=4n-39$ where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

$a_2=4(2)-39$ so

$a_2=8-39$ and

$a_2=-31$

The third term:

$a_3=4(3)-39$ and

$a_3=12-39$ so

$a_3=-27$ and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

$a_5=4(5)-39$ and

$a_5=20-39$ so

$a_5=-19$

7 0

3 years ago

The concession stand sells hot dogs and soda during Beck high school football games John bought six hotdogs and four Sotos and p

siniylev [52]

Question is not proper, Proper Question is given below;

The concession stand sells hot dogs and drinks during their high school foot ball game. John bought 6 hot dogs and 4 soda and paid $6.70. Jessica bought 4 hot dogs and 3 Soda and paid $4.65. What is the price of a hot dog and a Soda?

Answer:

Hot dog cost for $0.75 and Soda cost for $0.55.

Step-by-step explanation:

Let the Price of each Hot dog be x.

Also Let the price of each Soda be y.

Now Given:

John bought 6 hot dogs and 4 Soda and paid $6.70.

Now Total Money paid by John is equal to Sum of Number of hot dogs he bought multiplied by Cost of each hot dogs and Number of Soda he bought multiplied by cost of each soda.

Framing in equation form we get;

$6x+4y=6.70$

Dividing by 2 on both sides we get;

$\frac{6x}{2}+\frac{4y}{2}=\frac{6.70}{2}\\\\3x+2y=3.35 \ \ \ \ equation\ 1$

Also Given:

Jessica bought 4 hot dogs and 3 Soda and paid $4.65.

Now Total Money paid by John is equal to Sum of Number of hot dogs he bought multiplied by Cost of each hot dogs and Number of Soda he bought multiplied by cost of each soda.

Framing in equation form we get;

$4x+3y=4.65 \ \ \ \ equation \ 2$

Multiplying equation 1 by 3 we get;

$3(3x+2y)=3.35\times3\\9x+6y=10.05 \ \ \ \ equation \ 3$

Also Multiplying equation 2 by 3 we get;

$2(4x+3y)=4.65\times 2\\8x+6y = 9.3 \ \ \ \ equation\ 4$

Now Subtracting equation 4 from equation 3 we get;

$(9x+6y)-(8x+6y)=10.05-9.3\\9x+6y-8x-6y= 0.75\\x=\$0.75$

Now Substituting the value of x in equation 1 we get;

$3x+2y=3.35\\\\3\times 0.75+2y = 3.35\\\\2.25+2y=3.35\\\\2y = 3.35-2.25\\\\2y = 1.1\\\\y=\frac{1.1}{2}= \$0.55$

Hence Hot dog cost for $0.75 and Soda cost for $0.55.

4 0

4 years ago

During a winter's night, the low temperature was recorded at 19oF. The wind-chill temperature that night was -7^oF. What was the

erastovalidia [21]

Answer:

-26oF

Step-by-step explanation:

The difference between the low temperature and the wind-chill temperature is the result obtained when the low temperature is subtracted from the wind-chill temperature.

This difference

= -7oF - 19oF

= -26oF

The negative sign shows that there was a fall in temperature.

7 0

4 years ago