A line that includes the points (10,g) and (9,4) has a slope of 2. What is the value of g?
g=

Answer: 8

Step-by-step explanation: 8 times 8 is 64.

Answer:

8

Step-by-step explanation:

[tex]8^{2} = 64[/tex]

The solution to the system of equations is [tex]\( (4, 4) \)[/tex]. Therefore the correct option is a.

Given equations:

1. [tex]\( y = x^2 - 6x + 12 \)[/tex]

2. [tex]\( y = 2x - 4 \)[/tex]

To find the solution to the system, we'll set the two equations equal to each other because they both equal [tex]\( y \)[/tex]. So:

Step 1:

[tex]\[ x^2 - 6x + 12 = 2x - 4 \][/tex]

Now we will move all terms to one side to set the equation to zero.

Step 2:

[tex]\[ x^2 - 6x + 12 - 2x + 4 = 0 \][/tex]

[tex]\[ x^2 - 8x + 16 = 0 \][/tex]

This is a quadratic equation. To solve for [tex]\( x \)[/tex], we can either factor the quadratic, use the quadratic formula, or complete the square. The equation in Step 2 seems to be a perfect square trinomial.

Step 3:

The equation [tex]\( x^2 - 8x + 16 \)[/tex] factors to [tex]\( (x - 4)^2 = 0 \)[/tex].

Step 4:

Now, we solve for [tex]\( x \)[/tex] by taking the square root of both sides.

[tex]\[ (x - 4)^2 = 0 \][/tex]

[tex]\[ x - 4 = 0 \][/tex]

[tex]\[ x = 4 \][/tex]

Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either of the original equations to solve for [tex]\( y \)[/tex]. We can use the simpler equation [tex]\( y = 2x - 4 \)[/tex].

Step 5:

[tex]\[ y = 2(4) - 4 \][/tex]

[tex]\[ y = 8 - 4 \][/tex]

[tex]\[ y = 4 \][/tex]

So the solution to the system of equations is [tex]\( (4, 4) \)[/tex]. There is only one solution because the quadratic equation had a repeated root, meaning the lines intersect at exactly one point.

The complete question is given below:

Answer:

Since pi cannot be expressed as a fraction, it is counted as an irrational number.  Numbers that are irrational are:  1/3, e, 5/6

Answer: 78

Step-by-step explanation:

88+90+75+78+100+54+90+100+45+60 = 780

Divide this number by the total number of factors,in this case 10:

780/10 = 78

Answer: 34%

Step-by-step explanation: 2,500 - 34% = 850 the remaining 76% equals 1,650

As you may have intentionally forgotten to add the diagram. The diagram of the trapezoid is attached below.

Answer:

The point B(4, 8) after reflection across x-axis would be B'(4, -8).

B(4, 8)        →       B'(4, 8)  

Step-by-step explanation:

The rule of reflection across the x-axis states that a reflection of a point, let say M(x, y), across the x-axis does not change the value of x-coordinate but changes the sign of the y-coordinate of the point.

In a nutshell,

The point M(x, y) after reflection across x-axis would be M'(x, -y)

M(x, y)        →       M'(x, -y)

From the diagram attached below, the coordinate of point B is (4, 8).

So, according to the rule of reflection across the x-axis, the coordinates of the image of the point B (4, 8) after the reflection across the x-axis will be B'(4, -8).

i.e.

The point B(4, 8) after reflection across x-axis would be B'(4, -8).

B(4, 8)        →       B'(4, 8)  

please make brainiest.

Answer:

See below

Step-by-step explanation:

0.253 can be written as 253/1000

7.632 can be written as 7 632/1000 or 7 79/125 simplified

Length of the other leg is 22 units

Step-by-step explanation:

Hypotenuse² = x² + x²

(22√2)² = 2x²

⇒ x² = 22 × 22 × 2/2 = 22 × 22

∴ x = 22 units

Answer:

C

Step-by-step explanation:

Answer:

[tex]x + y \leqslant 8[/tex]

Step-by-step explanation:

The key idea here is to identify how to translate the statement, no more than, into inequality.

No more than 8 means less or equal to 8.

If Jess saw x dramas and y comedies at the movie theater, and she went to the theater no more than 8 times,then the inequality that best describes the situation is:

[tex]x + y \leqslant 8[/tex]

The third choice is correct

Answer:

A

Step-by-step explanation:

g(x) got smaller

A - makes it thinner

B & C - move it to the left or right

D- makes it wider

Answer:

Step-by-step explanation:

#1 I

#2 D

#3 K

Final answer:

To calculate the total annual premium for the welding shop, the premiums for the four welders and the secretary are calculated separately based on their wages and rates, and then added together, resulting in a total annual premium of $15,958.

Explanation:

The question is asking us to calculate the total annual premium for workers' compensation insurance for a small welding shop with four welders and one secretary, based on their respective wages and insurance premium rates.

First, we will calculate the premium for the welders. Since there are four welders each earning $37,000 per year, the total wages for welders is:

$37,000 x 4 = $148,000

The insurance premium per welder is $10.57 per $100 of gross wages. To find the total premium for all welders, we do:

($10.57/$100) x $148,000 = $15,643.60

Next, we'll calculate the premium for the secretary. The secretary earns $24,000 per year, and the insurance premium is $1.31 per $100 of gross wages, which gives us:

($1.31/$100) x $24,000 = $314.40

Adding the premiums for the welders and the secretary gives us the total annual premium:

$15,643.60 + $314.40 = $15,958

So, the total annual premium for the workers' compensation insurance for the welding shop is $15,958.

The total annual premium for the workers' compensation insurance is $15,958.00.

1. Calculate the premium for each welder:

  - Each welder earns $37,000 per year.

  - Premium rate for welders: $10.57 per $100 of gross wages.

  - Annual premium for one welder:

[tex]\[ \text{Premium for one welder} = \left( \frac{37,000}{100} \right) \times 10.57 = 370 \times 10.57 = 3,910.90 \text{ dollars} \][/tex]

  - Since there are four welders:

   [tex]\[ \text{Total premium for welders} = 3,910.90 \times 4 = 15,643.60 \text{ dollars} \][/tex]

2. **Calculate the premium for the secretary:

  - The secretary earns $24,000 per year.

  - Premium rate for the secretary: $1.31 per $100 of gross wages.

  - Annual premium for the secretary:

[tex]\[ \text{Premium for secretary} = \left( \frac{24,000}{100} \right) \times 1.31 = 240 \times 1.31 = 314.40 \text{ dollars} \][/tex]

3. Calculate the total annual premium:

 [tex]\[ \text{Total annual premium} = 15,643.60 + 314.40 = 15,958.00 \text{ dollars} \][/tex]

Answer:

A.)

Step-by-step explanation:

Answer:

ab - b^2

Step-by-step explanation:

The area of the large rectangle is

A = a*b

The area of the unshaded region is

A = b*b

The area of the shaded region is the large rectangle minus the unshaded region

ab - b*b

or

ab - b^2

Answer:

I think 2.333333333

Step-by-step explanation:

Answer:

D. 2 + 1/3 Cups of Flour

Step-by-step explanation:

84 Cups of Flour / 36 Batches of Cookies

                            =

x Cups of Flour /  1 Batch of Cookies

x = 7/3 Cups of Flour

D. 2 + 1/3 Cups of Flour

Answer:

it´s b for sure

Step-by-step explanation:

The coordinates of the transformed point is (x,-y-5), the correct option is B.

The reflection of an object refers to creating a mirror image of the object, similar in shape and size, just the coordinates are switched.

When a point is reflected over an axis, the coordinate of the other axis changes to its additive inverse.

The coordinates (x,y) when reflected over x axis change to (x,-y)

The polygon is reflected over x axis

then the coordinate ( x,y) will become (x,-y)

After translation, 5 units down, the coordinate change to

( x, -y-5)

To know more about Reflection of an object

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The density of the pyramid is calculated by first finding the volume using the formula for a pyramid's volume, and then dividing the mass by this volume, resulting in a density of approximately 0.469 g/cm³.

To find the density of a pyramid with a rectangular base, we first need to calculate its volume. The formula for the volume of a pyramid is V = (1/3)Bh where B is the area of the base and h is the height. In this case, the base has dimensions of 4 cm by 8 cm, so its area is 4 cm * 8 cm = 32 cm². The height of the pyramid is given as 10 cm, so the volume can be calculated as V = (1/3)*32 cm²*10 cm = 106.67 cm³.

With the mass of the pyramid given as 50 grams, the density (ρ) can be calculated using the formula ρ = mass/volume. Thus, the density is 50 grams / 106.67 cm³ = 0.469 g/cm³. Therefore, the density of the pyramid is approximately 0.469 g/cm³.

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

( − 4 , 3 )

Equation Form:

x  =  −  4 ,  y  =  3

Step-by-step explanation:

Answer:

x = —4, y = 3

Step-by-step explanation:

-3x + 2y = 18 (1)

-9x - 5y =21 (2)

To solve by eliminating, the coefficients of either x or y must be the same in both equation.

Now let us make the coefficient of x in both equation to be the same. To do this, multiply equation (1) by the coefficient of x in equation (2) ie —9, and multiply equation (2) by the coefficient of x in equation (1) ie —3 this is illustrated below :

—9 ( —3x + 2y = 18)

27x — 18y = — 162 (3)

—3 ( —9x — 5y = 21)

27x + 15y = —63 (4)

Now, subtract equation 4 from equation 3

27x — 18y = — 162

— (27x + 15y = —63)

—33y = —99

Divide both side by —33

y = —99/—33

y = 3

Now we substitute the value of y into any of the equation to obtain x. In this case, let use equation 4

27x + 15y = —63

27x + 15(3) = —63

27x + 45 = —63

Collect like terms

27x = —63 —45

27x = —108

Divide both side by 27

x = —108/27

x = —4

Therefore, x = —4, y = 3

Answer:

(0, -0.89) or -0.89

Step-by-step explanation:

Step 1:  Solve for y by dividing both sides by -9

-9y = 7x + 8

-9y / -9 = (7x + 8) / -9

y = -7/9x - 8/9

Step 2:  Identify the y-intercept

y = mx + b

m is slope

b is y-int

y = -7/9x - 8/9

Answer = (0, -0.89) or -0.89

Answer:

-0.89

Step-by-step explanation:

(see attached graphic for reference)

recall that the slope-intercept form of a line looks something likeL

y = mx + b

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

Hence all we need to do is to rearrange our equation so that it looks like the one above.

-9y=7x+8    (divide both sides by -9)

-9y / (-9) = (7x+8) / (-9)

y = (7x+8) / (-9)   (use distributive property )

y = [  7x / (-9) ] +    [  8/(-9)  ]  

y = (-7/9)x + (-8/9)

comparing this equation with the general equation above,

we can see that the

y-intercept , b

= -8/9

= -0.88888..............

= -0.89 (nearest hundredth)

[tex]\left(x^{2}-6\right)(x+5)[/tex] are the factors of the expression by grouping

Step-by-step explanation:

[tex]x^{3}+5 x^{2}-6 x-30[/tex]

We have to group the terms as,

[tex]\left(x^{3}+5 x^{2}\right)-(6 x-30)[/tex]

We can take the common factors as,

= [tex]x^{2}(x+5)-6(x+5)[/tex]

So it can be written as,

= [tex]\left(x^{2}-6\right)(x+5)[/tex]

So it was factorized by grouping.

Answer:

65 degrees

Step-by-step explanation:

Step 1:  Find what the measure of JLK is

JLM + JLK = 180

140 + JLK - 140 = 180 - 140

JLK = 40

Step 2:  Find what the measure of KJL is

KJL + JLK + JKL = 180

KJL + 40 + 75 = 180

KJL + 115 - 115 = 180 - 115

KJL = 65

Answer:  65 degrees

Answer:

6 or 6/1

Step-by-step explanation:

Multiple: -2 * (-3) = 6

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is: Negative slope. Constant slope.

Step-by-step explanation:

Answer: Negative slope

constant slope

decreasing function

for edge

Answer:

  -4x^3 +12x^2 for 0 < x < 3

Step-by-step explanation:

The power rule is appropriate:

  (d/dx)x^n = n·x^(n-1)

This is applied to each of the terms.

  F'(x) = -(4·x^3) +4(3x^2) +0

  F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3

__

The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].

Answer:

Option D. Y equals 4 divided by x.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

Looking a t the graph

For x=1, y=4

For x=4, y=1

For x=-1, y=-4

For x=-4, y=-1

therefore

The equation that satisfy  these values is

[tex]y=\frac{4}{x}[/tex]

Answer:

(-4,-9)

Step-by-step explanation:

Given a segment AB with endpoints with coordinates

A: [tex](x_A,y_A)[/tex]

B: [tex](x_B,y_B)[/tex]

The coordinates of the midpoint M of the segment AB are given by:

[tex]x_M = x_A + \frac{x_B-x_A}{2}\\y_M = y_A + \frac{y_B-y_A}{2}[/tex] (1)

In this problem, we know that:

- The midpoint of the segment AB has coordinates

[tex]x_M=2\\y_M=-7[/tex]

- One of the endpoint of the segment has coordinates

[tex]x_B=8\\y_B=-5[/tex]

So we  can find the coordinates of the other endpoint A by re-arranging eq.(1) above:

[tex]x_A=2x_M-x_B\\y_A=2y_M-y_B[/tex]

And substituting, we find:

[tex]x_A=2(2)-8=-4\\y_A=2(-7)-(-5)=-9[/tex]

So, the coordinates of the other endpoint are (-4,-9).

To find the coordinates of the other endpoint, use the midpoint formula to average the x-coordinates and the y-coordinates of the given point and the midpoint.

To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. So, we can calculate the x-coordinate of the other endpoint by averaging the x-coordinates of the given point and the midpoint: (8 + 2) / 2 = 5. Similarly, we can calculate the y-coordinate of the other endpoint by averaging the y-coordinates: (-5 + (-7)) / 2 = -6.

Therefore, the coordinates of the other endpoint are (5, -6).

Step-by-step explanation:

It is: 35/100 = 7/20 simplified

Answer:

Step-by-step explanation:

7/20

Answer: 12/5 or 2 2/5

Step-by-step explanation:

From the question: ________+ 1 1/10=3 1/2

Let the missing value be x

Convert the improper fraction to proper fraction

1 1/10 = 11/10

3 1/2= 7 /2

Therefore, x + 11/10 = 7/2

Subtract both sides of the equation by 11/10 to get the value of x

x + 11/10 - 11/10 = 7/2 - 11/10

x = 24/10

x = 12/5 or 2 2/5

Answer:

2.4 or 2 2/5

Step-by-step explanation:

1. Creating the Equation

This problem is meant to have you work backwards from the information given.  In this case, there is no reason to organize information, as this is not a word problem.

Instead, a simpler approach would be to replace the blank space with the variable x.

Once x replaces the blank space, the equation should appear as shown:

x + 1 1/10 = 3 1/2

2. Solving for x

Now that the equation was created, use the order of operations to solve for x.

Firstly, convert all the mixed numbers into improper fractions to simplify the solving process.

x + 11/10 = 7/2

Next, convert the 7/2 fraction into the same denominator as the 11/10 fraction. To do this, multiply both the numerator and the denominator by 5/5.

x + 11/10 = 7/2

x + 11/10 = 5/5(7/2)

x + 11/10 = 35/10

Finally, subtract the 11/10 fraction from both sides of the equation to find the solution to x.

x + 11/10 = 35/10

x + 11/10 - 11/10 = 35/10 - 11/10

x = 24/10

x = 2 4/10

(Simplify the fraction if needed)

x = 2 2/5

As said earlier, x was meant to represent the final answer.

x + 1 1/10 = 3 1/2

x = 2 2/5

2 2/5 + 1 1/10 = 3 1/2

Answer:

4

Step-by-step explanation:

[tex]\frac{12+4}{11-7} =\frac{16}{4} =4[/tex]