f(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
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Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

Answer:

name=circle area= 2 x pi x 6square

Step-by-step explanation:

Answer:

Step-by-step explanation:

Name of a figure=circle

radius=diameter/2

=12/2

=6

area=πr^2

=3.14*(6)^2

=3.14*36

=113.04 in^2

Answer:

7.5 cups

Step-by-step explanation:

For this you'd need to set up a ratio of 4lbs : 3 cups = 10lbs : x cups

You can turn this into an equation by turning it into a fraction, so 3/4 = x/10

Then you would solve this like a regular equation

1. 3/4 = x/10

2. 10(3/4 = x/10)

3. 10 * 3/4 = x

4. 7.5 = x

A ' (4,0)

B ' (6,3)

C ' (3,4)

================================================

Explanation:

I'm assuming the center of dilation is the origin.

If so, then we multiply the scale factor 1/4 = 0.25 by each of the coordinates of the three points.

Point A(16,0) will move to A ' (4,0) since

Point B(24,12) will move to B ' (6,3) since

We have enough information to see that choice B is the final answer

If you wanted to keep going, then point C(12,16) will move to C ' (3,4) for similar reasoning/steps as the previous two points.

The resulting image triangle A'B'C' will have its side lengths 1/4 of that compared to the side lengths of the preimage triangle ABC.

The scale factor k is such that 0 < k < 1, which indicates the image will be smaller compared to the preimage. If k > 1, then the image would have been larger than the preimage.

slope intercept y= 10x-82

point slope y + 2 = 10 (x − 8)

What is the price per ounce, rounded to the nearest cent? $0.29.

its $3.41 (d) because if you around 4 it will be 3 (im rlly bad at explaing stuff im sorry >-<)

Answer:

A. f(x) => -0.5x -1 , for x <0

=> 2x -2 , for x ≥ 0

Step-by-step explanation:

f(x) => -0.5x -1 , for x <0

=> 2x -2 , for x ≥ 0

Answer:

T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.

Step-by-step explanation:

Answer:

1st answer

Step-by-step explanation:

Answer:

L 1= 18 , W 1= 14 , A 1=252

Step-by-step explanation:

(L 36\2=18)

(W 28\2=14)

(A 1,008\4=252)

Step-by-step explanation:

Y=kx+b

If m=1/k

Y=-5/3x+b

I don't know what your m means

So I can only write like this.

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer:

C. 32 3/8

Step-by-step explanation:

First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.

Answer:

it would be choice 3

3⅜

Step-by-step explanation:

hope it helps you :)

Refer to the attachment...

Since the line is parallel to the given equation , slope of required line = slope of the given equation of line

slope = -1/2

Answer:

[tex]x = 56[/tex]

Step-by-step explanation:

Use tangent function.

[tex] \tan(x) = \frac{18}{12} [/tex]

Take the arctan

[tex] \tan {}^{ - 1} ( \frac{18}{12} ) [/tex]

which is about

0.98279372.

Convert from radians to degrees in you will get

56 degrees.

Answer:

Step-by-step explanation:

You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.

With substitution, this gives you tangent  = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.

Hope this helps!

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

R = 17

Step-by-step explanation:

R = 2q - 5

Q = 3p + 2

Find the numerical value of R when p = 3

R = 2q - 5

R = 2(3p + 2) - 5

R = 6p + 4 - 5

R = 6p - 1

When p = 3

R = 6(3) - 1

R = 18 - 1

R = 17

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the angles in the large outer triangle, then

x + 46 + 78 = 180

x + 124 = 180 ( subtract 124 from both sides )

x = 56

Consider the 3 angles in the smaller inner triangle, then

y + x + 86 = 180 , that is

y + 56 + 86 = 180

y + 142 = 180 ( subtract 142 from both sides )

y = 38

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

Answer:

3

Step-by-step explanation:

2h+5=11

2h=11-5

2h=6

Both side divided by 2

h=6

Answer:

h = 3

Step-by-step explanation:

2h + 5 = 11

2h + 5 - 5 = 11 - 5

2h = 6

2h ÷ 2 = 6 ÷ 2

h = 3

Answer:

2

Step-by-step explanation:

2(z)+2 = 4

2z = 2 x 2 = 4

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

For more question function

https://brainly.com/question/21688627

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Answer:

y = 3x -5

Step-by-step explanation:

Use the slope-intercept form:

y = (slope)x + intercept

slope = 3

intercept = -5

Equation in slope-intercept form:

y = 3x -5

Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers