Given that the f(y) = y - 1 and g(y) = y^3 - 2y - 1, find (gof) (y)I and hence, (gof) (-6).

Answer:

18

Step-by-step explanation:

Count I think. That's what I think the problem was asking.

Answer:

$370

Step-by-step explanation:

You already have 90 dollars so we can put that to the side for right now

If you're charged $35 at an hourly rate for 8 hours then you have to multiply the two together

30 x 8 = 240

5 x 8=40

240 + 40=280

Now is when your $90 dollars comes in. Now just add the two together and you'll end up with your final answer

280+90=370

Answer:

B. (5x - 7)(x+9)

Step-by-step explanation:

5x(x + 9) - 7(x + 9

Factor out the quantity (x+9)

(x+9) (5x-7)

Rearrange the order

(5x - 7)(x+9)

Final answer:

The expression 5x(x + 9) - 7(x + 9) is factored by finding the common term (x + 9) and factoring it out, resulting in the complete factored form (5x - 7)(x + 9), which is Option B.

Explanation:

The expression given is 5x(x + 9) - 7(x + 9). To factor this expression, we look for a common factor in both terms. Here, the common factor is (x + 9). We can use the distributive property, also known as factoring by grouping, to factor out the common factor. Applying this, we get:

(x + 9) is the common factor, so we pull it out in front: (x + 9)(5x - 7).

Thus, the expression in complete factored form is Option B: (5x - 7)(x + 9).

Answer:

250 batches of muffins and 0 waffles.

Step-by-step explanation:

-1

If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function

P = 2a + 1.5b

subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

Answer:

f(x) +g(x)  = -1.3 - 1.75x

Step-by-step explanation:

f(x) +g(x) is simply obtained by adding the two given functions, f(x) and g(x). We are given that;

F(x)= 3.7-2x and g(x)= 0.25x-5

f(x) +g(x)  = 3.7-2x + (0.25x-5)

f(x) +g(x)  = 3.7 -5 + 0.25x - 2x

f(x) +g(x)  = -1.3 - 1.75x

Answer:

f(x) +g(x)  = -1.3 - 1.75x

Step-by-step explanation:

Answer:

10. 65 = x

9. 8 = x

8. 63 = x [it gave you the answer]

7. 0 = x

6. -5 = x

Step-by-step explanation:

#6 uses the Associative Property of Multiplication. #7 uses the Zero Product Property of Multiplication. #8 gave you the answer because x = 1x. For #9, you have to multiply ⅛ by its multiplicative inverse [reciprocal (8)] to get 1. #10 uses the Commutative Property of Multiplication.

**Associative and Commutative are the same thing, EXCEPT Commutative does NOT use grouping symbols. Associative does.

Answer: ur inbox in y=my+b form

Step-by-step explanation:

[tex]x^2=4\Longrightarrow x=4^{2^{-1}}=4^{\frac{1}{2}}=\sqrt{4}=\boxed{2}[/tex]

So the first one is correct which implies that the third one is also correct.

But these are not the only ones.

[tex]

2x=2\Longrightarrow x=\dfrac{2}{2}=\boxed{1}

[/tex]

The last one is also correct.

Hope this helps.

r3t40

Answer:

should have multiplied before dividing the real answer is 15

Answer:

B. Her answer is incorrect. She should have multiplied before dividing.

Step-by-step explanation:

Final answer:

After applying a $5 coupon to his $16, Tyler is left with $11. Given the cost of one bottle of olive oil is $7, Tyler can only purchase 1 bottle because he cannot buy a fraction of a bottle.

Explanation:

The student's question involves basic arithmetic operations and budget management, which falls under the subject of Mathematics. Tyler can use the $5 coupon to reduce the total cost of his purchase. To determine how many bottles of olive oil he can buy, we need to subtract the coupon value from the amount of money he has:

Now, we divide the amount left by the cost of a single bottle of olive oil:

Since Tyler cannot buy a fraction of a bottle, he can buy only 1 bottle of olive oil with the money he has after applying the $5 coupon.

Answer: [tex]158cm^2[/tex]

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

[tex]SA = 2(wl +lh + hw)[/tex]

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism  has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

Then, the surface of the right rectangular prism is:

[tex]SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2[/tex]

Answer:

Surface area of prism = 158 cm²

Step-by-step explanation:

Points to remember

Surface area of rectangular prism = 2(lb + lh + bh)

Where l - Length, b - Breadth and h - Height

To find the surface area of prism

Here l = 8 cm, b = 3 cm and h = 5 cm

Surface area = 2(lb + lh + bh)

 = 2[(8*3)  + (8 * 5) + (3 *5)]

 = 2[24 + 40 + 15]

 = 2 * 79

 =158 cm²

Surface area of prism = 158 cm²

Hello There!

Dividing a fraction is the same thing as multiplying by its reciprocal.

This means that [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{5}{12}[/tex] is the same as multiplying [tex]\frac{3}{4}[/tex] by [tex]\frac{12}{5}[/tex].

So basically when you divide you leave the first fraction alone but the second fraction in this case, 5/12 you would flip the number on top and the number on bottom to 12/5.

HAVE A GREAT DAY!

Answer:   [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.

To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.

Then, the reciprocal of the fraction [tex]\frac{5}{12}[/tex] is:

[tex]\frac{12}{5}[/tex]

Therefore:

[tex]\frac{3}{4}[/tex]÷[tex]\frac{5}{12}= \frac{3}{4}* \frac{12}{5}[/tex]

Answer:

-20

Step-by-step explanation:

If Jeneesa started with, 0 points and she earned 50, then she would have 50. If she lost 80 points, she would go into the negatives. She would be at -30, and when she earned 10 more points, she would be at -20.

I don't know what your options look like, but look at the one(s) with -20 at the end and figure out what one best fits my explanation (and the numbers I use)!

The response explains how to represent Janeesa's ending score on a number line after earning and losing points in a game.

The number line that shows Janeesa’s ending score in the game is as follows:

Start at 0 points

Earn 50 points - Move to 50 points

Lose 80 points - Move back to -30 points

Earn 10 points - Move to -20 points

Her ending score on the number line would be -20 points.

Answer:

Option C is correct.

Step-by-step explanation:

The formula to find the slope given two points is:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

We are given points (0,4) and (3,6)

where x₁ = 0 , y₁ = 4, x₂=3 and y₂=6

Putting values in the formula:

[tex]slope = \frac{6-4}{3-0} \\slope = \frac{2}{3}[/tex]

So, slope is 2/3

Since the slope of line to be found is parallel to line L. So both lines have the same slope.

Slope of line parallel to line L = 2/3

Option C is correct.

Answer:

y < x + 7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

It's a right triangle so 7x + 11x = 90

Solve for x

7x + 11x = 90

18x = 90

  x = 5

Hello!

Answer:

[tex]\boxed{6x-12}[/tex]

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you remove parenthesis.

3x*2+2x-9-(4x*2-6x+3)

Multiply.

3x*2=6x

-(4x*2-6x+3=(-2x+3)

6x+2x-9-(2x+3)

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

6x+2x-9-2x-3

Then, you simplify and solve.

6x+2x-9-2x-3=6x-12

[tex]\boxed{6x-12}[/tex], which is our final answer.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

The solution is 6x-12.

The Bodmas rule follows the order of the BODMAS acronym ie

B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction.

The BODMAS rule states that mathematical expressions with multiple operators need to be solved from left to right in the order of BODMAS

By solving in standard form we have to use

BODMAS

First, Brackett open

3x*2+2x-9-(4x*2-6x+3)

now ,Multiply.

So, 6x+2x-9-(2x+3)

or, -(2x+3)=-2x-3

or, 6x+2x-9-2x-3

Now, simplify

or, 6x+2x-9-2x-3=6x-12

Hence, the solution is 6x-12.

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Answer:

2x

Step-by-step explanation:

(f*g)(x) = f(x)*g(x)=x*2

ANSWER

[tex](f \times g)(x) = 2x[/tex]

EXPLANATION

The given functions are

[tex]f(x) = x[/tex]

and

[tex]g(x) = 2[/tex]

We want to find

[tex](f \times g)(x) = f(x) \times g(x)[/tex]

This means we need to multiply the two functions to get:

[tex](f \times g)(x) = x \times 2[/tex]

This will simplify to

[tex](f \times g)(x) = 2x[/tex]

The correct answer is A

Answer:

Range = (-∞,0) U (0,∞)

Step-by-step explanation:

The given function is:

f(x) = (x-1)²/x³-2x²+x

We can reduce the denominator:

= (x-1)²/x(x²-2x+1)

we know that a²-2ab+b² = (a-b)²

= (x-1)²/x(x-1)²

= 1/x

The function 1/x is undefined for x = 0.

Hence, its domain lies in (-∞,0) U (0,∞).

Hence x can either be less than or greater than zero.

The function f(x) is greater than zero when x<0.

The function f(x) is less than zero when x>0.

There is no way the function can be zero because the numerator is constant.

Hence the domain of the function lies in the interval:

(-∞,0) U (0,∞)

The probability of a student chosen randomly from the class playing basketball or baseball is 0.84.

The probability that a student chosen randomly from the class plays basketball or baseball can be found using the principle of inclusion-exclusion. First, we add the number of students who play basketball (17) and baseball (10) together, which gives us a total of 27 students. However, we have double-counted the 6 students who play both sports, so we subtract that number from the total. Therefore, the number of students who play basketball or baseball is 27 - 6 = 21. The probability is then calculated by dividing the number of students who play basketball or baseball by the total number of students in the class: 21/25 = 0.84.

Answer:

Slope = 3/2

Y-intercept = 2

Slope-intercept Form: y = 3/2x + 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

As, per the graph

slope= rise/ run

slope= 3/2

and, y- intercept is of 2 units.

So, equation of slope intercept form will be,

y= mx+c

y= 3/2 x+ 2

2y= 3x+4.

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Answer:

all five are dangerous

checking his phone while crossing the street

driving impaired

driving unbuckled

hiking alone

not wearing safety goggles

All the situations described - Distracted walking, Drinking and driving, Not wearing a seatbelt, Hiking alone, and Not wearing safety goggles in a possibly hazardous environment - are dangerous.

All of the scenarios given can be considered as dangerous. Distracted walking, as portrayed by Dan who checks his cell phone while crossing the street, risks accidents because the person is not fully aware of his surroundings. Drinking and driving, like Enrique after a couple of beers, is extremely dangerous, often leading to severe accidents. Not wearing a seat belt while driving, regardless of the drive's duration, puts Emily in danger. Anita's situation where she is hiking alone can be dangerous due to the risk of injury, and going without help or immediate assistance. Lastly, Lorena's situation is hazardous because safety goggles are crucial for protecting the eyes during a science presentation, especially if it involves chemicals or physical contraptions.

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Let's say BB' = a

2^2 + 1^2 = a^2

4 + 1 = a^2

a^2 = 5

a = √5

So the distance of BB' is √5

The distance of BB' is √5.

Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=(((x₂-x ₁)²+(y ₂-y ₁)²) to calculate the separation between any two locations.

Let's say BB' = a

2² + 1² = a²

4 + 1 = a²

a² = 5

a = √5

So the distance of BB' is √5

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Answer:

15.85%

Step-by-step explanation:

Given:

Acres damaged (burned) = 6,500 acres

Acres in total forest = 41,000 acres

Hence the amount of damaged forest as a fraction of the total forest,

= [tex]\frac{6500}{41000}[/tex] = [tex]\frac{13}{82}[/tex]

expressed as percentage = [tex]\frac{13}{82}[/tex] x 100% = 15.85%

The area of a triangle is half the product of the base and the height.

Since multiplication is commutative, the following expressions are equivalent:

[tex]A=(bh)\cdot \dfrac{1}{2} = \dfrac{b}{2}\cdot h = \dfrac{h}{2}\cdot b[/tex]

So, option D is correct

Option (D) Multiply 1/2 base by altitude should be used to find the area of a triangle.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively.

Now, let's see how to calculate the area of a triangle using the given formula.

The area of a triangle is half the product of the base and the height. Since multiplication is commutative, the following expressions are equivalent:

[tex]$$A=(b h) \cdot \frac{1}{2}=\frac{b}{2} \cdot h=\frac{h}{2} \cdot b$$[/tex]

So, option D is correct Multiply 1/2 base by altitude.

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Answer:

Step-by-step explanation:

First part of the second factor.

Start by noticing that you are not going to get 7s^2 with the factor you have. So the first thing to do is to write the second factor as

(s + 3)  (7s

Sign

The next problem is to figure out what the sign following the 7s is. The 12 holds the answer to that.

12 is positive. So what ever follows must also be positive. Otherwise you will get a negative for the 12.  So now you have

(s + 3)(7s +

What comes after the Plus Sign?

Last step. you need a number that when multiplied by 3 will give you 12. That has to be 4

(s + 3)(7s + 4) This is your answer.

Answer:

F

Step-by-step explanation:

√10 = 3.16

hence the point must be larger than 3.1 and smaller than 3.2

Only F satisfies this condition.

Answer:

the answer is B) cos 4/15 as a decimal is 3.75 and 315 divided by 3.75 is 84

D. 231

4/15 of the 315 members are male so 4/15 mutiplied by 315 is 84

There are 84 males

315 members minus 84 male members equals 231 female members

Multiply the bracket by 4

4(3x+12)=-36

12x+48= -36

12x+48-48= -36-48

12x= -84

divide by 12 for 12x and -84

12x/12= -84/12

x= -7

Answer is x=-7

ANSWER

[tex]x = - 7[/tex]

EXPLANATION

The given equation is

[tex]4(3x + 12) = - 36[/tex]

Expand the parenthesis,

[tex]12x + 48 = - 36[/tex]

Group similar terms

[tex]12x = - 36 - 48[/tex]

[tex]12x = - 84[/tex]

Divide both sides by 12

[tex]x = \frac{ - 84}{12} [/tex]

[tex]x = - 7[/tex]

Answer:

The answer is A.

Step-by-step explanation:

We only have to test one coordinate to find the answer. The original coordinate for N is (-1, -1). Using the formula, N' is (0, -2).

You see, it's quite easy. All you need to do is find the coordinates of FNQ, then add the 1 to the x values and subtract 1 from the y values as stated in the translation rule.  

However, in your case, you don't have numbers on your graph but you can easily draw some. Be mindful of the quadrants.

Let's try out point F just for gags.

F = (3, 3)  

(Technically you only need one point to determine the answer.)

Now, apply rule: x + 1, y - 1

(3, 3) becomes (4, 2)  

Now, which multiple choice answer contains that specific point for F?  

Choice A.