What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7

Answers

Answer 1

Answer: 7 and 8

Step-by-step explanation:

[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]

So, both 7 and 8 are in the solution set.


Related Questions

Plz help me with this

Answers

9514 1404 393

Answer:

growth2.3%

Step-by-step explanation:

The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.

When x increases by 1, the multiplier of 800 increases by ...

  1.00575^4 ≈ 1.023199 = 1 + 2.3199%

Rounded to the nearest tenth percent, this is a 2.3% growth rate.

_____

Additional comment

The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.

Mr. Greene is preparing 28 bags of materials for his art class. Each bag needs 40 glass tiles. How many glass tiles are needed?

______ glass tiles

Answers

Answer:

Glass tiles needed

[tex] = (28 \times 40) \\ = 1120 \: tiles[/tex]

1120 because 28 * 40 is equal to that

Can someone help me?

Answers

Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

y=2(x+3)^2+4 => y= 2x^2+12x+22

Y= 4(x+3)^2+2 => y= 4x^2+24x+38

Step-by-step explanation:

In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?

Answers

Answer:

The measure confirming that PQRS would be 25

Step-by-step explanation:

It's easier if you draw it down.

1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.  

                             \

                        155 \

P \ -------------------------\ Q

    \                         25 \

      \                               \     so that's your shape  

   S   \______________\ R

2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.

3. As mentioned before, in a parallelogram, opposite angles are the same and  therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.  

find a number n when decreased by 9 equals 17

Answers

Answer:

26-9=17           26 is the answer

Step-by-step explanation:

Answer:

The number n is 26

Step-by-step explanation:

Decreased means subtract

n-9 = 17

Add 9 to each side

n-9+9 = 17+9

n = 26

The number n is 26

find the estimates of x^2-x-2=3

Answers

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

The following dot plot shows the pulse rates of runners after finishing a marathon:

Which of the following data sets is represented in the dot plot?

{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}

Answers

Answer:

The correct answer is Option C:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

Step-by-step explanation:

Dot plots are one of the tools that are used to represent data in statistics and mathematics.

As the dot plot is given, we can make the data set from the plot.

As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.

Similarly, 165 occurs 5 times, 170 two times and 180 four times.

So the dataset will be:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

answers for both boxes please ​

Answers

Answer:

5 for the green box and 9 for the purple one

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

2x + 5x = 7x

-2y + 2y = 0

2 + 12 = 14

7x = 14

7x/7 = 14/7

x = 2

2x - 2y = 2

2(2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

-2y = -2

-2y/-2 = -2/-2

y = 1

if 2t2 eqauls 4 then wah t is 2t4

Answers

2+4 is 8 that should be your answer :)

f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry

Answers

The vertex is ( 2,4)
The axis of symmetry is 2 .
Direction of parabola ( i don’t know sorry )

What is this question?

Answers

Answer:

A

Step-by-step explanation:

So timing a fraction with a fraction smaller by 1 means its a proper fraction.

And it can't get bigger than it already is because it's timing a less than 1 itself.

So it's A, it will be smaller

Solve for x
35 = 5(x + 9)
X =

Answers

Answer:

-2

Step-by-step explanation:

35 = 5x + 45

So - 45 from both side

-10 = 5x

Divide both side by 5

-2 = x

X = -2

The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45

Answers

Answer:

poop

Step-by-step explanation:

poop

The answer is C because the numbers are being multiplied by 3

A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.

What is the volume of the prism?

Answers

Answer:

It will be 72cm

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

9x4x2=72

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.

Answers

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?

Answers

Answer:

√1370 or about 37.01

Step-by-step explanation:

use distance formula

√(x2-x1)^2+(y2-y1)^2

sqrt(8-7)^2+(41-4)^2

sqrt(1)^2+(37)^2

sqrt 1+1369

sqrt 1370

= about 37. 01

A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in

Answers

Answer:

c

Step-by-step explanation:

Help plz ASAP


150% as a fraction or mixed number

Answers

Answer:

150%as a fraction is  3/2

Answer:

1.50 or 1 1/2

Step-by-step explanation:

Hope this helps!

Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is

Answers

Answer:

Step-by-step explanation:

fixed cost = 100

variable cost = 13

soooo....

cost =  (13x + 100)/x

the questions wants to know  when cost  < 22.50

22.5 > (13x+100)/x

look at graph attached ;)

it looks to me like it's at 11

22.5 > (13(11) + 100) / 11

22.5 > 22.09

try 10

22.5 > (13(10) +100)/10

22.5  > 23   not true  so yes.. 11 is when the cost goes below 22.50

Answer:

Y’all the correct answer is 10

Please help me !

Juan drew line segment EF on the coordinate plane. Determine the distance between the points E and F. Round your number to the nearest hundredth

Answers

Step-by-step explanation:

sogzglzotsoypysotaota9t8ts

It would be 120 ye  f  = 8  E = 3 1/2  

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

1) What is the difference between a number and its positive square root is 12. Find the number
2) One of the diagonals of a rectangle is 20cm long. If the difference between its length and width is 4cm, find the area of the rectangle

Answers

Answer:

algebra

Step-by-step explanation:

using algebra form an equation than solve for the variable keep in mind u have to square it

Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?

Answers

Cathy can buy 3 sweaters.

Write a linear function f with f (5) = -1 and f(0) = -5.
f(x)=____

Answers

Answer:

We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:

f(x) = 4/5x - 5

Step-by-step explanation:

Given

f(5) = -1f(0) = -5

f(5) = -1 means at x = 5, y = -1

Hence, the point (5, -1) lies on the line function.

f(0) = -5 means at x = 0, y = -5

Hence, the point (0, -5) lies on the line function.

Thus, the two points on the linear line function graph are:

(5, -1)(0, -5)

Finding the slope between the points (5, -1) and (0, -5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]

[tex]m=\frac{-5-\left(-1\right)}{0-5}[/tex]

[tex]m=\frac{4}{5}[/tex]

The slope-intercept form of the linear line function

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

We have already determined the slope which is: m = 4/5

We know the y-intercept can be determined by setting x = 0 and solving for y.

Thus, the point (0, -5) represents the y-intercept b = -5.

Now, substituting m = 4/5 and b = -5 in the slope-intercept form

[tex]y = mx+b[/tex]

y = 4/5x + (-5)

y = 4/5x - 5

Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:

f(x) = 4/5x - 5

Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?​

Answers

Answer:

65 miles per hour

Step-by-step explanation:

520 divided by 8

Answer:

His average speed is 65 miles per hour.

Step-by-step explanation:

The answer is 65 because 520 divided by 8 is 65.

P.S Can I have brainliest?

christy has a hobby of making candles. she takes less than 20 minutes to make a box of candles. if x represents the number of minutes, which inequality represents the time it takes christy to make a box of candles? (show work if possible)
A. x > 20
B. 20 < x
C. 20 > x
D. x = 20 ​

Answers

Answer:

C. 20 > x

Step-by-step explanation:

Based on the information given in the diagram, choose all of the statements that are correct.

Answers

Answer:

i think its the last one

Step-by-step explanation:

i think its the last on ig

The true statements from the given statements are -

∠MNP  <   ∠ONP NP ≅ NPOP > PM

What are congruent triangles?

Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.

Given is a triangle as shown in the image.

It is clear that the measure of ∠MNP is less than ∠ONP as

∠MNP = 38°  <   ∠ONP = 39°

The line NP ≅ NP as it is common to both sub - triangles and has same length.

OP > PM since ∠ONP = 39° > ∠MNP = 38°

Therefore, the true statements from the given statements are -

∠MNP  <   ∠ONP NP ≅ NPOP > PM

To solve more questions on congruent triangles, visit the link below-

https://brainly.com/question/27848509

#SPJ6


A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00

Answers

Answer:

$143.10

Step-by-step explanation:

$159 (regular price) - 10% = $143.1 = $143.10

Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!

-Bee

There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?

Answers

You can look on the app Socratic to help you.

Answer:

The answer is 200

Step-by-step explanation:

What is the origin of algebraic expresions plz

Answers

The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations.
Other Questions
Please help!Look at the system of equations:y = 2/3x + 10y = 2/3x 10Which of these statements is correct?A. The system has one solution at (-3,8)B. The system has one solution at (6,-6)C. The system has no solutionD. The system has an infinite number of solutions While I was doing my homework, my father cooked the dinner, and my mother was asleep in front of the television.A)simpleB)compoundC)complexD)compound-complex Nuestras familiasPublicado por Andy, 24 de septiembreLa familia de Roberto y la ma son muy diferentes, pero se llevan muy bien. A nuestras familias les gusta hacer cosas juntas, como ir de excursin los fines de semana.Mi familia es pequea, la suya es grande. Yo tengo una hermana, pero l tiene siete. Un hermano suyo vive en los Estados Unidos. Yo solo tengo dos primas, Alison y Elosa, pero l tiene... veinte primos y cinco sobrinos! Un sobrino suyo est casado con nuestra amiga Ana.1. Cmo se llevan las dos familias?2. Cmo es la familia de Andy?3. Cuntos hermanos tiene Roberto?4. Dnde vive un hermano de Roberto?5. Con quin est casada Ana?6. Qu hacen las familias los fines de semana?(20 points!!!!!! Answer soon in english or spanish i understand both languages completely) Which people in government and public administration act as first responders during emergencies?Law enforcement professionals, such as ________, act as the countrys first responders during emergencies, such as natural disasters. When Nigerias civil war ended in 1970s A student is creating an electromagnet for an investigation. Which feature of the electromagnet will least influence the magnetic force?Athe material of the coreBthe brand of the batterythe number of wire coilsDthe che of the power source A zebra cell is just about to replicate its DNA.What will happen first?RNA attaches to DNA.All of the cells DNA attaches to proteins.The DNA folds over on itself to create a dense chromosome.The DNA unravels to make two strands. I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!A.) 6 unitsB.) 10.7 unitsC.) 5.5 units D.) 3 units Distributive property to remove parantheses -8(-6v+2x-4) 1.scientist refer to a biological community and the abiotic parts of the environment that affects the community as _______? A. Biome B. EcosystemC. Population D. Community Marvin the Martian needs to get back home. Marvin is 321,770 m from his home on Mars. He decides the quickest way to get home is to use his canon to fire himself into flight. He aims the the canon at an angle of 25 degrees. When the canon is fired Marvin the Martian is launched into flight at an initial velocity of 1250 m/s. The question is will his plan work SOMEONE PLEASE PLEASE HELP ME ON THIS!! Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options. XY and ST VU and TW XS and XW TX and WX VU and YZ Given the equation in point slope form y-5=1/2(x+1) I dont know this someone help Oakland is located across a bay from San Francisco in western California. What does this describe about Oakland?OA. spatial interactionOB.scaleOC.situationOD. distance How did the political confusion help lead to the riseof Hitler summer babysitting. She decidedto put this money in a bank thatearns a 5% simple interest rate.How many years will it take todouble her initial deposit?A) 10 yearsB) 12 yearsC) 15 yearsD) 18 yearsE) 20 years Match each line from King's speech to the type of rhetorical technique it best shows."there are insufficient funds in theallusiongreat vaults of opportunity""go back to Mississippi, go back toAlabama, go back to South Carolina"repetition"let freedom ring from every hill andmolehill of Mississippi"metaphor"with its vicious racists"connotation The subatomic particle that is different in isotopes