1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Schach [20]
3 years ago
15

Solve and graph the following compounf inequalities 7<5x+2<22

Mathematics
2 answers:
Digiron [165]3 years ago
7 0
1<x<4 is the answer for the question

nevsk [136]3 years ago
3 0
Hey there!

7 < 5x + 2 < 22
Let's start by adding -2 to both sides
7 - 2 < 5x + 2 - 2 < 22 - 2
5 < 5x < 20
Then divide each part by 5 :)
5/5 < 5x < 20/5
1 < x < 4


I hope this helps. Please let me know if you have questions about the answer.
Down bellow is the graph.

Best of luck with your studies!

You might be interested in
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 f
Mashutka [201]

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

7 0
3 years ago
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
FrozenT [24]

Answer:

15 possible combinations

Step-by-step explanation:

Given

Vegetables = 6

Selection = 2

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

^nC_r = \frac{n!}{(n-r)r!}

In this case:

n = 6

r = 2

The formula becomes:

^6C_2 = \frac{6!}{(6-2)!2!}

^6C_2 = \frac{6!}{4!2!}

^6C_2 = \frac{6*5*4!}{4!2*1}

^6C_2 = \frac{6*5}{2}

^6C_2 = \frac{30}{2}

^6C_2 = 15

<em>Hence, there are 15 possible combinations</em>

7 0
3 years ago
Select the correct answer.
lesya692 [45]

Answer:

The Answer is A. slope = 1.5 and y-intercept = -2

Step-by-step explanation:

In y=mx+b form b represents your y-intercept and m (or the number next to the x) is your slope

6 0
3 years ago
An electronics company produces​ transistors, resistors, and computer chips. Each transistor requires 3 units of​ copper, 1 unit
padilas [110]

Answer:

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

\left \{ {{3a+3b+2c=1730} \atop {a+2b+c=690}}\atop {2a+b+2c=1380}} \right.

3. We write the matrix form as Ax=d

A=\left(\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right)

x=\left(\begin{array}{ccc}a\\b\\c\end{array}\right)

A=\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)

With this formula the solution of x is x=\frac{d}{A} or x=A^{-1}d

4. We will find the inverse matrix A^{-1} using the formula:

A^{-1} = \frac{1}{detA} (C_{A})^{T}

a. det A

det A=\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right] =3*(4-1)-3*(2-2)+2*(1-4)=9-0-6=3

b. (C_{A})^{T}

C_{A}=\left(\begin{array}{ccc}4-1&.(2-2)&1-4\\-(6-2)&6-4&-(3-6)\\3-4&-(3-2)&6-3\end{array}\right)

C_{A}=\left(\begin{array}{ccc}3&.0&-3\\-4&2&3\\-1&-1&3\end{array}\right)

(C_{A}) ^T=\left(\begin{array}{ccc}3&0&-3\\-4&2&3\\-1&-1&3\end{array}\right)^T

(C_{A}) ^T=\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)

c.A^{-1}

A^{-1}=\frac{1}{3} \left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)

5. As x=\frac{d}{A} or x=A^{-1}d, the solution of x is:

x=\frac{1}{3}\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)

x=\frac{1}{3}\left(\begin{array}{ccc}(3*1730)+(-4*690)+(-1*1380)\\(0*1730)+(2*690)+(-1*1380)\\(-3*1730)+(3*690)+(3*1380)\end{array}\right)

x=\frac{1}{3}\left(\begin{array}{ccc}1050\\0\\1020)\end{array}\right)

X=\left[\begin{array}{ccc}350\\0\\340\end{array}\right]

<u><em>Therefore:</em></u>

<u><em>a= 350 Transistors</em></u>

<u><em>b=0 Resistors</em></u>

<u><em>c=340 Computer chips</em></u>

4 0
3 years ago
Malcolm ran the 440-yard and the 220-yard dash at a track meet.There are 3 in one yard. How many total feet did Malcolm run?Esti
Tresset [83]

For this case we have the following conversions:

1 yard = 3 feet

The estimate distance Is:

400yd = 1200feet

200yd=600 feet

Ten, the estimate Is:

1200 + 600 = 1800 feet

The real distance Is:

The total distance in yards is given by:

440 + 220 = 660 yd

Then, let's transform this distance to feet, with the given conversion:

660 * 3 = 1980 feet

The distance traveled is reasonable for a person

Comparing the estimate and the actual answer, the distance malcom Ran Is reasonable.

Answer:

Malcolm ran 1980 feet.

The distance is reasonable.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Eeeeeeeeeeaaaaaaddddddd
    10·1 answer
  • (01.02) given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
    12·1 answer
  • In 2000 there were about 2,172,000 farms in the United States. Twenty -four thousand of the farms were in South Carolina. What p
    14·1 answer
  • A supermarket has determined that daily demand for milk containers has an approximate bell shaped distribution, with a mean of 5
    10·1 answer
  • 2. Five pigs were weighed daily to regulate caloric
    9·1 answer
  • Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn and rode 3 miles to the local swimming pool. I
    9·2 answers
  • Please help
    6·1 answer
  • Multiplying by 1.75 is the same as increasing by _____%.
    13·1 answer
  • If Chang jogs one lap around the inside track, how far does he jog​
    14·2 answers
  • Which one is the bigest and which one is the lowest<br> 5 7/8<br> 6<br> 5.5<br> 5 3/4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!