solve for x 3x-3>x+7

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

[tex]\angle QRP=40^\circ[/tex]

[tex]\angle RPQ=105^\circ[/tex]

[tex]\angle PQR=35^\circ[/tex]

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]

[tex]RQ>QP>PR[/tex]

[tex]RQ>PQ>RP[/tex]

Therefore, the order from longest to shortest is RQ, PQ and RP.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Answer:

roy

Step-by-step explanation:

the y coordinate has the negative number like the community center's y.

Answer:

The answer is Lee :)

Step-by-step explanation:

both of the numbers are negatives so they both belong in 3rd quadrant

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])

Answer:

39

Step-by-step explanation:

To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35.  A general rule would be 5-7 intervals, I will use 5.

Here are the intervals with the number of people that were in each:

1-7 (9)

8-14 (14)

15-21 (8)

22-28 (3)

29-35 (5)

14+9+8+3+5=39

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

Whats the rest?

I need an answer

Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help

Answer:

none

Step-by-step explanation:

57+75+95= 227

24+70+75= 169

48+64+80= 192

19+27+80=73

A right triangle equals 180 degrees.

Answer:

The circle's area is pi

Step-by-step explanation:

A=πr2=π·12≈3.14159...

Answer:

(-4, 5)

Step-by-step explanation:

(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.

Answer:

1248 cubic feet

Answer: $4107.74

Step-by-step explanation:

Answer:

a. 1/11 < 1/9 < 1/8 < 1/7 < 1/5 < 1/4

b. 4/12 < 4/10 < 4/7 < 4/5

c. 3/11 < 3/9 < 3/8 < 3/7 < 3/5 < 3/4

Step-by-step explanation:

Hope this helps!!!

Answer:

If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.

The graph opens upward, if the vertex of the quadratic function with a positive a value.

Given that, the quadratic function with a positive a value.

The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.

If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.

Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.

To learn more about the vertex of the quadratic function visit:

https://brainly.com/question/22526994.

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Answer: [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3}-(-5)=[/tex]

Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.

[tex]-\frac{2*3+1}{3} -(-5)=[/tex]

Solve;

[tex]-\frac{6+1}{3} -(-5)=[/tex]

[tex]-\frac{7}{3} -(-5)=[/tex]

Now, get rid of the two negatives by multiplying.

[tex]-\frac{7}{3} +5=[/tex]

Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.

[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]

To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.

[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]

Solve;

[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]

Subtract numerators and keep the same denominator.

[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]

Convert to a mixed number. To do this, first, divide:

8/3=2

6

----

2

The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

Answer:

x=28

Step-by-step explanation:

[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]

The value of x is 28.

A mixed fraction represented with its quotient and remainder is a mixed fraction.

To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.

According to the question:

we have

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

for finding the value of x

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]

⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex]                      (multiply both the sides by 3)

⇒ [tex]x= 28[/tex]

The value of x is 28.

Learn more about for finding the value of x here:https://brainly.in/question/11504807

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Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

                                     Cost      Production Max.

Console screen (x)      $600              450

Wide-screen (y)           $900              200

                                 $360,000

We have:

[tex]600x+900y \leq 360,000[/tex]

Because they can't spend more than $360,000 in production.

[tex]x\leq 450\\y\leq 200[/tex]

Because the number of television is restricted.

The profit function is

[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]

450 console screen and 100 wide screen give a profit of $76,250.

Answer:

y = -3x +8

Step-by-step explanation:

The slope intercept form intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -3 and the intercept is 8

y = -3x +8

Answer: y= -3x+8

Step-by-step explanation:

Using the formula y=Mx+b

Answer:

24 square blocks

Step-by-step explanation:

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

Answer: it’s c

Step-by-step explanation:

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation: