Which expression are equivalent?

Answer:

False

Step-by-step explanation:

Let's check whether (-3, 4) satisfies the given inequality 2x + y > -2.

Replacing x with -3 and y with 4 yields                          2(-3) + (4) > - 2

or:

-6 + 4 > -2, or -2 > -2.  This end result is false, and so (-3, 4) is NOT a solution of the given inequality 2x + y > -2.

Answer:false

Step-by-step explanation:

To find the two numbers, we can set up a system of equations using the given information. Solving this system of equations, we find that the two numbers are 2 and 2, or -2 and -2.

To solve this problem, we can use the given information to set up a system of equations. Let's assume the two numbers are x and y. From the problem, we know that

[tex]x^2 + y^2[/tex] = 8 and xy = 4.

We can solve this system of equations by substituting the value of y from the second equation into the first equation. This gives us [tex]x^2 + (4/x)^2[/tex] = 8. Multiplying both sides by [tex]x^2[/tex] gives us [tex]x^4 + 16 = 8x^2[/tex]. Rearranging the equation and factoring, we get [tex]x^4 - 8x^2[/tex] + 16 = 0.

This equation can be factored as [tex](x^2 - 4)(x^2 - 4)[/tex] = 0. Taking the square root of both sides, we find that [tex]x^2[/tex] = 4. Solving for x, we get x = ±2. Substituting these values back into the second equation, we find that the two numbers are 2 and 2, or -2 and -2.

Answer: $1349

Step-by-step explanation:

SI = prt / 100

= (950 * 7 * 6) / 100

= 399

Amount in the account

950 + 399 = 1349

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant determines the nature of the roots

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Here b² - 4ac = 4 > 0

Hence roots are real and distinct

Answer:

8 m/s^2

Step-by-step explanation:

F=kA

F=force

k=constant you will use for each F=kA relation

A=acceleration

Second sentence says F=90 while A=10 (plug in and find k)

90=k(10)  so k=9

We have for any (A,F) that F=9A

Last sentence F=72, what is A?

So 72=9A which means A=8 m/s^2

Answer:

No solution

Step-by-step explanation:

Suppose the number is [tex]y[/tex] so ([tex]y = ...[/tex]).

Now [tex]y[/tex] is equal to twice a smaller number plus 3. Assuming the smaller number as [tex]x[/tex], we can write it as:

[tex]y = 2x + 3[/tex] --- (1)

Also, the same number [tex]y[/tex] is equal to twice the sum of smaller number and 1:

[tex]y=2x+1[/tex] --- (2)

Now for both of these equations, we need to find a point which satisfies them.

For example, for equation 1, take [tex]y=5[/tex] which means [tex]2(1) + 3[/tex] so the solution will be (1, 3).

Substituting the same value of y here in equation 2:

[tex]5=2(2)+1[/tex] so the solution for this will be (2, 5).

It means that there is no such point which can satisfy both the equations. Hence, there is no solution possible for these two equations.

Answer: The system of equations HAS NO SOLUTION.

Step-by-step explanation:

Let be "y" the first number and "x" the smaller number.

Since the first number  is equal to twice a smaller number plus 3, then:

[tex]y=2x+3[/tex]  (Equation 1)

Since the same number is equal to twice the sum of the smaller number and 1, then:

[tex]y=2(x+1)[/tex]

[tex]y=2x+2[/tex]  (Equation 2)

We need to remember that the equation of the line in Slope-Intercept form is:

 [tex]y=mx+b[/tex]  

Where "m" is the slope and "b" is the y-intercept.

You can observe in the Equation 1 that the slope of this line is 2 and you can notice in the Equation 2 that the slope of that line is also 2. Therefore, the lines are parallel and the system of equations has no solution.

Answer:

x = 3

Step-by-step explanation:

3(x + 2) = 6(x - 1) + 3

Divide both sides by 3.

x + 2 = 2(x - 1) + 1

Distribute the 2 on the right side.

x + 2 = 2x - 2 + 1

Combine like terms on the right side.

x + 2 = 2x - 1

Add 1 to both sides. Subtract x from both sides.

3 = x

x = 3

Answer:

Step-by-step explanation:

135 m2

Answer:

4

Step-by-step explanation:

Using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

let [tex]log_{4}[/tex] 256 = n, then

256 = [tex]4^{n}[/tex]

Note that 256 = [tex]4^{4}[/tex], hence

[tex]4^{4}[/tex] = [tex]4^{n}[/tex]

Since the bases are equal ( both 4) equate the exponents, hence

n = 4

Answer:

Hi there!

A way to remember how to do each way is: Soh Cah Toa

Sin- opposite over hypotenuse Cos- Adjacent over hypotenuse Tan- opposite over adjacent.

Hypotenuse is the longest the side of the triangle

and the adjacent side is the side laying near the symbol theta.  

Answer: What is the blood type of each person at the clinic?

Answer:

Your answer is wrong.... M

Final answer:

The expression[tex]5^-8 * 7^-9[/tex]simplifies to 1 / [tex]5^8 * 1 / 7^9[/tex], which can be rearranged to 1 / [tex](35^8 * 7),[/tex] hence the correct answer is option B:[tex]1 / (7 * 35^8).[/tex]

Explanation:

The expression [tex]5^-8 * 7^-9[/tex] simplifies to:

([tex]1/5^8) * (1/7^9)[/tex]

[tex]1 / (5^8 * 7^9)[/tex]

We notice that [tex]5^8 * 7^9[/tex] can be rearranged to [tex](5*7)^8 * 7[/tex]

[tex]1 / (35^8 * 7)[/tex]

Finally, we get [tex]1 / (7 * 35^8)[/tex]which is option B.

For this case we must solve the following equation:

[tex]\frac {5} {6} x = \frac {10} {3}[/tex]

Multiplying by "6" on both sides of the equation we have:

[tex]5x = \frac {10 * 6} {3}\\5x = \frac {60} {3}\\5x = 20[/tex]

Dividing between 5 on both sides of the equation we have:

[tex]x = \frac {20} {5}\\x = 4[/tex]

So, the solution is [tex]x = 4[/tex]

Answer:

Option D

Answer: LAST OPTION.

Step-by-step explanation:

In order to solve for the variable "x" from the expression [tex]\frac{5}{6}x=\frac{10}{3}[/tex], you need to follow these steps:

1) You need to multiply both sides of the equation by 3:

[tex]3(\frac{5}{6}x)=(\frac{10}{3})(3)\\\\\frac{15}{6}x=10[/tex]

2)  You need to multiply both sides of the equation by 6:

[tex](6)(\frac{15}{6}x)=(10)(6)\\\\15x=60[/tex]

3) Finally, you can divide both sides of the equation by 15:

[tex]\frac{15x}{15}=\frac{60}{15}\\\\x=4[/tex]

Answer:

The correct answer is second option

380 square feet

Step-by-step explanation:

Area of composite solid = Base area + area of side rectangles + area of triangles

To find the area of base

Base area = length * width

 = 10 * 10 = 100 ft²

To find the area of side rectangle

There are 4 rectangles with length 10 ft and width 6 ft

Area = 4 * area of one rectangle

 = 4 * (10 * 6)

 = 240 ft²

To find the area of triangle

Here base of triangle = 10 ft and height = 7 ft

Area  of 4 triangles =4 * area of single triangle = 4 * (bh)/2

 = 4 *(10 * 7)/2 = 140 ft²

To find the total area =  Base area + area of side rectangles + area of triangles

 = 100 + 240 + 140

= 380 square feet

The correct answer is second option

380 square feet

Answer:

380

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

we know that

A circle can be circumscribed about any regular polygon

A circumscribed circle surrounds a regular polygon, touching every vertex

Answer:

y=-3/2 x +12

Step-by-step explanation:

Solve for y.

2y+3x=24

We want 2y by itself so I will subtract 3x on both sides giving:

2y=-3x+24

Now I will divide both sides by 2 giving:

y=-3/2 x+24/2

Simplifying this gives:

y=-3/2 x+12

The slope is -3/2

The y-intercept is 12

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y + 3x = 24 into this form

Subtract 3x from both sides

2y = - 3x + 24 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x + 12 ← in slope- intercept form

Answer:

Step-by-step explanation:

Look at the picture.

To find the Median, place the numbers in value order and find the middle number (right picture).

Median = $39,000

Answer:

Sometimes they are called algebraic postulates.

Step-by-step explanation:

Please mark brainliest and have a great day!

The volume of a given piece of aluminum is 92.6 mL.

Given: A piece of Aluminum.

Mass = 250 g

Density = 2.7 g/mL

We need to find the volume.

We know, density is given by:

⇒ Density = Mass / Volume

⇒ Volume = Mass / Density

⇒ Volume = 250/2.7

⇒ Volume = 92.6 mL

Therefore, the volume of the piece of aluminum is 92.6 mL.

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Answer:

the answer would be the 3rd one :)

Step-by-step explanation:

Answer:

21 dollars each

Step-by-step explanation:

35 dollars to mow the lawn

20% tip means he will actually get the 35 dollars and whatever 20% of 35 is...

35+.2(35)

35+7

42

But he is mowing with a buddy, so he is going to split this around between him and his buddy.  So 42/2=21.

They will get 21 dollars each.

Answer:

Part 1)

-31x - 19y=95

-14x + 19 y = 76

The solution is the point (-3.8,1.2)

The system is consistent independent

Part 2)

31x - 19y=95

14x + 19y = 76

The solution is the point (3.8,1.2)

The system is consistent independent

Part 3)

31x + 19y = 95

14x - 19y = 76​

The solution is the point (3.8,-1.2)

The system is consistent independent

Step-by-step explanation:

Part 1) we have

-31x-19y=95 -----> equation A

-14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

-31x-14x=95+76

-45x=171

x=-3.8

Find the value of y

-14(-3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (-3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 2) we have

31x-19y=95 -----> equation A

14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 3) we have

31x+19y=95 -----> equation A

14x-19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)-19y=76

-19y=76-53.2

y=-22.8/19=-1.2

The solution is the point (3.8,-1.2)

The system has only one solution

therefore

The system is consistent independent

To determine the type of system, we need to look at the coefficients of the variables and the constants. For the system of linear equations:
```
31x - 19y = 95
-14x + 19y = 76
```
Let's perform the steps to find the solution:
1. We will use elimination or substitution to solve for the variables x and y.
2. We will verify the resulting solution to ensure that it solves both equations.
**Step 1: Elimination**
By adding the two equations together, the y terms will eliminate each other:
```
31x - 19y = 95
-14x + 19y = 76
-----------------
(31x - 14x) + (-19y + 19y) = 95 + 76
17x = 171
```
Divide both sides by 17 to solve for x:
```
x = 171 / 17
x = 10
```
**Step 2: Substitution**
Now that we have x, let's substitute it into one of the original equations to find y. We can use the first equation:
```
31(10) - 19y = 95
310 - 19y = 95
``
Subtract 310 from both sides:
```
-19y = 95 - 310
-19y = -215
```
Divide both sides by -19 to solve for y:
```
y = -215 / -19
y = 11.3158
```
The estimated values of x and y are (10, 11.3158). Since these are not exact values from the multiple choices, it seems there might be a rounding or calculation error. Let's recheck:
```
y = -215 / -19
y = 11.3158...
```
Given the options, the rounded value would be y = 11.3.
**Type of System:**
Given that we were able to find unique values for x and y, the system is "consistent-independent" because it has one solution.
**System with the Same Solution:**
A system with the same solution will have the same coefficients for the variables or will be multiples of one another.
**Estimated Solution:**
As worked out above, x = 10 and y ≈ 11.3. Since this isn't precisely written in the choices, we have to consider rounding for y, which would be approximately 11.3.
With these considerations, the answer to fill the table is:
- Type of System: consistent-independent
- System with the Same Solution: Not provided precisely, but typically it would have proportional coefficients.
- Estimated Solution: (10, 11.3 - considering the second decimal place)
Please note that since we're manually calculating the solution, there may be some approximation in the final values. If exact arithmetic were applied, you should expect to find a precise value for y that matches one of the options more closely.

Answer:

The correct answer for this is: rhombus.

Step-by-step explanation:

The name of a polygon that has four congruent sides with the angles measuring 60°, 120°, 60° and 120° is rhombus.

According to the properties of a rhombus, the opposite angles are equal and opposite sides are parallel.

However, the adjacent angles of rhombus are supplementary which means that they add up to 180°.

For example:

60° + 120° = 180°

Answer:

Rhombus

Step-by-step explanation:

A rhombus has 4 congruent sides and the opposite angle s are congruent. I will throw  in something extra a rhombus has perpendicular bisectors

Answer:

Total Cost = 14.50

Step-by-step explanation:

We have to assume that the third child pays a regular fee to get in.

2 adults = 2 * $4.50 =      $9.00

2 children = 2*$2.75/2=   $2.75

1 more child=1*$2.75   =   $2.75

Total                                   $14.50              

The 2 children 1/2 price is rather tricky. You could firgure out what 1/2 price is and then just double it, but that is rather long. And it will come to what I have. So let's try it

1/2 of 2.75 = 1.375

2 * 1.375 = 2.75

It is just as easy to show it rather than doing it.

Answer:

x =-2 and z =-4

Step-by-step explanation:

We need to solve the following systems of equation

-3x-2y+4z = -16       eq(1)

10x+10y-5z = 30      eq(2)

5x+7y+8z = -21        eq(3)

Multiply eq(1) with 10 and eq(2) with 3

-30x-20y+40z = -160

30x+30y-15z = 90

__________________

10y+25z = -70

Divide by 10

2y+5z = -14      eq(4)

Multiply eq(1) with 10 and eq(3) with 6

-30x-20y+40z = -160

30x+42y+48z = -126

__________________

22y+88z = -286

Divide by 11

2y+8z = -26     eq(5)

Subtract eq(4) and eq(5)

2y+5z = -14  

2y+8z = -26      

-    -        +

__________

-3z = 12

z = 12/-3  

z = -4

Putting value of z in eq(4)

2y+5z = -14  

2y +5(-4) = -14

2y = -14 +20

2y = 6

y = 3

Putting value of z and y in eq(1)

-3x-2y+4z = -16

-3x-2(3)+4(-4) = -16

-3x -6 -16 = -16

-3x = -16+16+6

-3x = 6

x = 6/-3

x = -2

Answer:

=-5

Step-by-step explanation:

The rate of change, the slope, can be found by using the formula for calculating the slope given two points on the line directly.... However what I like to do is just like up the points and subtract then put 2nd difference over first difference.

(-3  ,  0)

-(-2  , -5)

------------

-1         5

So the slope is 5/-1 which is just -5

Answer:

the anser is -5

Step-by-step explanation:

you better get 100 now good luck

[tex]|\Omega|=6^2=36\\|A|=3\cdot2=8\\\\P(A)=\dfrac{8}{36}=\dfrac{2}{9}[/tex]

Answer:

The constant term is the area of weight room.

Step-by-step explanation:

A rectangular gym has an area of [tex]4x^2[/tex]  square feet

The school decides to add a new  weight room.

The total area of the gym and the weight room is [tex](4x^2+480)[/tex] ft^2.

Here, 480 is the area of the weight room because [tex]4x^2[/tex] is the area of gym and the total area will be addition of both the areas.

Hence, the constant term is the area of weight room.

The area of the weight room is 480 square ft and the constant term 480 represents the area of the weight room.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The area of the rectangular gym = 4x² square ft

The total area of the gym and the weight room = (4x² + 480) square ft

Let A be the area of the weight room:

Total area = area of gym + area of weight room

4x² + 480 = 4x² + A

A = 480 square ft

Thus, the area of the weight room is 480 square ft and the constant term represents the area of the weight room.

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Without additional context, the measure of angle 2 cannot be specific. However, the three given angles do not comprise a valid triangle. More information is required.

To find the measure of angle 2, we need to use the properties of angles formed by parallel lines and a transversal. Angle 2 is an alternate interior angle with angle 5, as they are on opposite sides of the transversal line and between the parallel lines. Therefore, angle 2 is also equal to angle 5, which measures 120°. So the measure of angle 2 is 120°.

The question didn't provide enough context or information to specifically determine the measure of angle 2. However, if we look at the three angles provided – 30°, 120°, and 60° – it's plausible that these angles might comprise a triangle since the sum of all angles in a triangle is 180° (30° + 120° + 60° = 210°, so not a valid triangle). We'd need more information to accurately determine the measure of angle 2.

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