Determine the range of the function g of x is equal to negative square root of the quantity x squared plus 4 end quantity
(–∞, ∞)

[–2, ∞)

(–∞, –2]

[–2, 2]

the answer is (–∞, –2]

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

Answer:

B

Step-by-step explanation:

Answer:

D. Because the same answer

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

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The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

Number of 10 cents = 18

Number of  20 cents = 10

Step-by-step explanation:

Let number of 10 cents be = x

Let number 20 cents be = y

Total number of coins = x + y = 28  -------- ( 1 )

Total amount in the box = 0.10 x + 0.20y = 3.80 ---------- ( 2 )

Solve the equations to find x and y

( 1 ) => x + y = 28

         x = 28 - y

Substitute x in ( 2 )

( 2 ) => 0.10(28 - y) + 0.20y = 3.80

          2.80 - 0.10y + 0.20y = 3.80

            0.10 y = 3.80 - 2.80

            0.10 y = 1.00

                \(y = \frac{1}{0.10} = 10\)

                y = 10

Substitute y in ( 1 ) => x + y = 28

                                x + 10 = 28

                                x = 28 - 10

                                x = 18

Answer:

B

Step-by-step explanation:

For a line to be parallel it must have the same slope

6x-2y=-5

+5        +5

6x-2y+5 = 0

   +2y       +2y

6x+5  =2y

/2        /2

3x+5/2=y                  So the slope is 3 and we know it can only be either B or D

Now we need to find which line passes through (7,-2) and we find this by plugging 7 into B and D

B. -2= 21-23 TRUE

D. -2 = 21+ 23 FALSE

So the answer is B

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

Step-by-step explanation:

x = 5

Solution of 1/4 (x-3) ≤ -2 is x ≤ 5 . The value of x will be less than or equal to 5 .

Graph is attached below.

Given,

1/4 (x-3) ≤ -2

Now,

Inequality : 1/4 (x-3) ≤ -2

Solve for x,

x - 3 ≤ -8

Take -3 from LHS to RHS.

-3 will be converted to 3 in RHS .

x ≤ -8 + 3

x≤ -5

The value of x will be less than or equal to -5.

The graph of inequality is attached below and represents the the value of x is less than or equal to 5 .

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Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given inequality:

Solve it:

The graph includes the number line to the right of 5 and the 5 is included, so this point is represented by a full dot.

Correct choice is A

Answer:

Step-by-step explanation:

Let's start by figuring out how many green beads Enya had before giving some away.

Let g be the number of green beads Enya had initially, and let b be the number of blue beads. Then we know:

g + b = 280 (the total number of beads)

After giving away 3/5 of the green beads and 20 blue beads, Enya had g' green beads and b' blue beads left. We can set up two more equations:

g' = 2/5 g (Enya gave away 3/5 of the green beads, so she has 2/5 left)

b' = b - 20 (Enya gave away 20 blue beads)

We also know that the ratio of blue beads to green beads left is 1:10, which means:

b' / g' = 1/10

Substituting the expressions for g', b', and b from the earlier equations, we get:

(b - 20) / (2/5 g) = 1/10

Simplifying this equation, we get:

b - 20 = g/4

Now we have two equations with two variables:

g + b = 280

b - 20 = g/4

We can solve for g in the second equation:

g = 4(b - 20)

Substituting this expression for g into the first equation, we get:

4(b - 20) + b = 280

Simplifying and solving for b, we get:

5b = 360

b = 72

So Enya had 72 blue beads initially. We can use this to find the initial number of green beads:

g + 72 = 280

g = 208

Enya had 208 green beads initially.

After giving away 20 blue beads and 3/5 of the green beads, she had:

g' = 2/5 * 208 = 83

b' = 72 - 20 = 52

So Enya had a total of 83 + 52 = 135 beads left in the end.

Answer:

Step-by-step explanation:

To do this, we first divide 2.87 by 3.50. This gets us 0.82. So we now know that 2.87 is 82% of 3.50. But we're trying to find the reduced amount. So we now Do 100%-82% (82% being 2.87) to get 18%. So the answer is 18%. To make sure we are right, we do 18% of 3.50 to get 0.63 cents. We then take 3.50 and subtract 0.63 to get 2.87. So it reduced by 18%

Answer:

6 Cranes

Step-by-step explanation:

Given

Animals: Zebra & Cranes

\(Heads = 18\)

\(Legs = 60\)

Required

Determine the number of Cranes

Represent Zebra with Z and Cranes with C

A Zebra has 1 head and 4 legs

A Crane has 1 head and 2 legs

So:

\(Z + C = 18\)

\(4Z + 2C = 60\)

Make Z the subject in the first equation

\(Z = 18 - C\)

Substitute 18 - C for Z in the second

\(4(18 - C) + 2C = 60\)

\(72 - 4C + 2C = 60\)

Collect Like Terms

\(- 4C + 2C = 60 - 72\)

\(- 2C = -12\)

\(2C = 12\)

Solve for C

\(C= 12/2\)

\(C = 6\)

Answer: (-2,-11)

Step-by-step explanation:

We looking for values that will satisfy the equation upon inspection, when x is -2, the equation gives y=-11 .

I.e y=4x-3 ,when x=2

Y= 4(-2)-3

Y= -8-3

Y= -11

Answer:

G = -1.75t + 14

Step-by-step explanation:

Find how many gallons she had originally:

Multiply 1.75 by 4 to find how much she used in 4 hours:

1.75(4)

= 7

Since she had 7 gallons left after 4 hours, she started off with 14 gallons.

Create an equation with the format y = mx + b

b (the y intercept) is 14 in this situation, since that is the starting value.

m (the slope) is -1.75, because the car uses 1.75 gallons each hour.

Put these into the equation:

y = -1.75x + 14

Use the variables G (number of gallons remaining) and t (hours)

G = -1.75t + 14 is the equation

The equation for G, in terms of t, represents the number of gallons of gas remaining in Victoria's gas tank after t hours of driving will be G = 14 - 1.75 t

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given that the automobile uses 1.75 gallons of petrol for every hour of driving, there were 7 gallons of gas left in the tank after 4 hours of driving.

The gas before the trip is,

= 1.75 × 4 + 7

=7+7

=14

The number of gallons of gas remaining in Victoria's gas tank after t hours of driving is,

= G = 14 -1.75t

Thus, the equation for G, in terms of t, represents the number of gallons of gas remaining in Victoria's gas tank after t hours of driving will be G = 14 - 1.75 t

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Answer:

(3a+4b)-(5a-2b) = −3a+6b

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Hey there!/¡Hola!

(3a + 4b) - (5a - 2b)

= 3a + 4b - 5a - 2b

COMBINE the LIKE TERMS/COMBINAR los TÉRMINOS LIKE

= (3a - 5a) - (4b - 2b)

= 3a - 5a - 4b - 2b

= -2a + 6b

Result/Resulta: -2a + 2b

Good luck on your assignment & enjoy your day!/¡Buena suerte en tu tarea y disfruta tu día!

~Amphitrite1040:)

Answer:

n = +1

Step-by-step explanation:

Hope this helps

Answer:

im pretty sure -9 is the answer

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Based on the number of throws Luke had and the percentage he made, the number he made was 50 throws.

There were 200 free throws in the season and Luke was able to make about 25% of them.

The formula to find this is therefore:

= Number of free throws x Percentage made

Solving gives:

= 200 x 25%

= 50 throws

In conclusion, Luke made 50 throws.

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Answer:

this will be your answer

The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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-8y² -8x²+ 7x³ is the simplified form of the -5y² - 5x² - y² -3y² + 7x³ -3x²

An expression is combination of variables, numbers and operators.

The given expression is -5y² - 5x² - y² -3y² + 7x³ -3x²

We have to combine the like terms

Like terms are terms whose variables are the same.

-5y²  - y² -3y² - 5x² -3x²+ 7x³

-8y² -8x²+ 7x³

Hence, -8y² -8x²+ 7x³ is the simplified form of the -5y² - 5x² - y² -3y² + 7x³ -3x²

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Answer:

C

Step-by-step explanation:

The number of tips that the server gets is dependent on how many customers she serves.

Hope this helps!

Answer:

i dont understand

Step-by-step explanation:

but probably c

Answer:

D. Yes, because it costs $12 per tin.

Step-by-step explanation:

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

27

Step-by-step explanation:

15+5=20

20+7=27

Answer: 27

Step-by-step explanation:

15+5=20

20+7=27