f(x)= 3x+1 and g(x)= x^2-6 find (f-g)(x)

Answer:

x = 20

Explanation:

Let's solve your equation step-by-step.

−10x = −200

Step 1: Divide both sides by -10.

−10x /−10  =  −200 /−10

x = 20

Answer:

x = 20

Step-by-step explanation:

-10x=-200

x = -200/ -10

x = 20

Answer:

B ) Negative

Step-by-step explanation:

Given the expression 3xy

when x>0 and y<0

The value of the expression 3xy will be negative.

This is because the product of a positive and negative number will always be negative.

For illustration,

Let x=5>0 and y=-5<0

3xy=3(5)(-5)=-75

NOTE:

[tex]-X-=+\\-X+=-\\+X+=+[/tex]

Answer:

2. The transformation rule is (x, y) -> (x + 0, y + 4).

Step-by-step explanation:

The true statements about the translation are:

2. The transformation rule is (x,y) = (x+0.7+4).

3. The transformation is a vertical translation.

The vertices are given as:

V(-2, 3) to V-2,7)

From the above vertices, we have the following transformation rule

(x,y) = (x+0.7+4).

Notice that the x-coordinate remains unchanged,

This means that the transformation is a vertical translation.

Hence, the true statements about the translation are: (2) and (3)

Read more about translation at:

https://brainly.com/question/11468584

Answer:

48 units ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

b1 = AT = 4*2 = 8 units ( watch the scale)

b2 = SR = 2*2 = 4 units ( watch the scale)

h = The line that S is at the to line that T is at along the x axis

  = 4*2 = 8 units ( watch the scale)

A = 1/2 ( 8+4) * 8

   = 1/2 *12*8

  = 48 units ^2

Answer:

48 units²

Step-by-step explanation:

ARST is a trapezoid

1 block = 2 units

½ × (4 + 8) × 8

48 units²

Answer:

3a + b = 7

6x + 8y = 40

9a + 3b is 3*(3a + b)  or 7*3 = 21

3x + 4y is (6x + 8y) /3 = 40 / 3 ≅ 13.3

So now we know that 9a + 3b = 21 and 3x + 4y = 13.3 which means that it is greater because 21 > 13.3

Answer:

Step-by-step explanation:

Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).

Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).

Answer: what is the question??

Step-by-step explanation:

Answer:

Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.

Step-by-step explanation:

Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points

Which statement best explains the option he should choose?

Step-by-step explanation:

Test

Answer:

x = 3 , y = 0

Step-by-step explanation:

Solve the following system:

{y = (2 x)/3 - 2 | (equation 1)

y = 3 - x | (equation 2)

Express the system in standard form:

{-(2 x)/3 + y = -2 | (equation 1)

x + y = 3 | (equation 2)

Swap equation 1 with equation 2:

{x + y = 3 | (equation 1)

-(2 x)/3 + y = -2 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{x + y = 3 | (equation 1)

0 x+(5 y)/3 = 0 | (equation 2)

Multiply equation 2 by 3/5:

{x + y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 3 , y = 0

To solve the given system of equations, we can use the method of substitution. After obtaining the value of x, we can substitute it back into one of the original equations to solve for y. The solution to the system is x = 3 and y = 0.

The given system of equations is:

y = \frac{2}{3}x - 2

y = -x + 3

To solve this system, we can use the method of substitution. We can rearrange the second equation to solve for y:

y = -x + 3

Now, substitute this value of y into the first equation:

\frac{2}{3}x - 2 = -x + 3

Add x to both sides:

\frac{2}{3}x + x - 2 = 3

Multiply both sides by 3 to eliminate the fraction:

2x + 3x - 6 = 9

Combine like terms:

5x - 6 = 9

Add 6 to both sides:

5x = 15

Divide both sides by 5:

x = 3

Now, substitute the value of x back into one of the original equations to solve for y:

y = -x + 3

y = -3 + 3

y = 0

Therefore, the solution to the system of equations is x = 3 and y = 0.

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To solve this you need to use this formula: 1/2Pi x D

So we can multiply 0.5 x 3.14 x 1.7

Your answer is 2.669

Answer:-x+8

Step-by-step explanation:

So in this case we have to combine alike variables for this question.

(6x+9)-(7x+1)

     -9       -9

6x-7x+-8

We had to isolate in this case thats why both alike terms were getting subtracted by 9.

Then we just combining 6x-7x since they are alike terms.

-1x+8

-1x and -x are the same thing but if you want to make it more complex, the real answer is  -x+8

(I hope you find this helpful ;w;)

Answer:

-x+8

Step-by-step explanation:

Answer:

D. $9.50

Step-by-step explanation:

In total, Jeff spends 21/40 of his money. (1/8+2/5=21/40)

He has 19/40 left.

19/40*20=380/40=9.5

First, let's put 2/5 and 1/8 into similar fractions, in that they have the same denominator.

2/5 = 16/40

1/8 = 5/40

Then, we'll add the fractions together.

16/40 + 5/40 = 21/40

So, Jeff spent 21/40 of his money. We can set up a proportion to find the amount that Jeff spent.

x/20 = 21/40

420 = 40x

x = 10.50

Finally, we'll subtract the amount that Jeff spent from the original amount.

20 - 10.50 = 9.50

Jeff has D. $9.50 left.

Hope this helps!! :)

Answer:

C) cos²(theta)

Step-by-step explanation:

csc(X) = 1/sin(X)

cos(-X) = cos(X)

tan(-X) = -tan(X)

cot(-X) = -1/tan(X) = -cos(X)/sin(X)

[cos(X) × -cos(X)/sin(X)] ÷ -1/sin(X)

-cos²(X)/sin(X) × -sin(X)

cos²(X)

Answer:

It is 80.

Step-by-step explanation:

It's pretty simple-> Thousands, Hundreds, Tens, Ones.

Answer:

The tens place

Step-by-step explanation:

place values:

6000

400

80

2

Answer:

7.875 (not sure what your unit is but include it here)

Step-by-step explanation:

3/4 of 4.5 is 3.375

3.375+4.5=7.875

Answer:

A

Step-by-step explanation:

1) subtract 2 from both sides:

-3x≤12

x≥-4(sign flips since we divided by a negative)

so the graph would be  A

since "the equal to" means its a closed circle

Hope this helps!

Answer:

B,A,C

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In this set of numbers 6 is the number that is most often seen

Answer:

Step-by-step explanation:

First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3​000 ft = 1 in/300 ft

The scale for the drawing is 1 in:300 ft.

We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.

1200 ft times 1 in/300 ft = 4 in.

Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

Answer:

5.6 thousand

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (41 + 38 + 36 + 57 + 43) / 5

μ = 43

Next, subtract the mean from each value and take the absolute value.

|41 − 43| = 2

|38 − 43| = 5

|36 − 43| = 7

|57 − 43| = 14

|43 − 43| = 0

Sum the results and divide by the number of animals.

MAD = (2 + 5 + 7 + 14 + 0) / 5

MAD = 5.6

Answer:

43 thousand dollars

Answer:

150 kg

Step-by-step explanation:

The diagonal Piece: √5²+12² = 13

6 pieces: 5, 12, 5, 12, 13, 13

Total length: 2 x(5 + 12 + 13) = 60

Total weight: 60 x 2.5 = 150 kg

Answer:

150 kg

Step-by-step explanation:

The length of the diagonal:

sqrt(12² + 5²)

sqrt(169)

13

Total length:

2(13 + 12 + 5)

2(30)

60m

Mass;

60 × 2.5

150 kg

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = [tex]\frac{6-3}{4-2} =\frac{3}{2}[/tex]

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Slope = rate = (6 - 3)/(4 - 2) = 3/2

Slope of a straight line is constant hence the rate of change is also constant

Answer:

(-7,-6)

Step-by-step explanation:

-10 + 3 = -7

6 - 12 = -6

(-7,-6)

Answer:

.7143

Step-by-step explanation:

there are 5 trouts so 5/7

Answer:

D.10

Step-by-step explanation:

if you just add the other numbers in place of variable h

13+9=22

12+9=21

11+9=20

10+9=19

only one addition problem adds up to a sum below 20 that being 10 so the answer is D

Answer:

Step-by-step explanation:

[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]

Cross multiplication,

[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]

Answer  :  Define F as fathers age and S as sons age right now.

Then now they are

(1) 3S = F

and six years ago they were

(2) 5*(S-6) = F-6

calculate 5*(S-6)

5S - 30 = F-6

Subtract left and right side by -F

Add 30 to left and right side

5S - F = 24

Put (2) 3S = F into the equation above

5S - 3S = 24

2S = 24

S = 12

insert result in (2) 3S = F

3*12 = F

36 = F

So the son is 12 years, and the father is 36 years.

"The correct system of equations to represent Kevin's and Daniel's ages is:

1.  k = d + 3

2.  k - 2 = 4(d - 2)

To solve for Kevin's and Daniel's current ages, we can substitute  k  from equation 1 into equation 2.

From equation 1:

k = d + 3

Substitute  k  into equation 2:

(d + 3) - 2 = 4(d - 2)

Now, simplify the equation:

d + 1 = 4d - 8

Combine like terms:

4d - d = 8 + 1

3d = 9

Divide both sides by 3 to solve for  d :

d = [tex]\frac{9}{3}[/tex]

d = 3

Now that we have Daniel's age, we can find Kevin's age by substituting  d  back into equation 1:

k = d + 3

k = 3 + 3

k = 6

Therefore, Kevin is 6 years old and Daniel is 3 years old. The final answer is:

Kevin's age:  k = 6

Daniel's age:  d = 3 "