Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)​

Answer:

B.

Step-by-step explanation

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Side length 9, 12, 17 forms a obtuse angled triangle.

"Pythagorean triplets are combination of such three numbers which satisfy the Pythagoras theorem a² + b² = c²."

Formula used

Pythagoras triplet

c = hypotenuse

'a' and 'b' other two sides of a triangle

a² + b² = c² (Right angled triangle)

a² + b² ≤ c² (Obtuse angled triangle)

a² + b² ≥ c² (Acute angled triangle)

According to the question,

Given

Side length of a triangle = 9, 12, 17

Substitute the value in the formula of Pythagoras triplet we have,

a² = 81

b² =144

c² =289

c² > a² +b²

Therefore, triangle with side length 9, 12, 17 forms a obtuse angled triangle

Hence, Option(D) is the correct answer.

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Answer:

x = -1

Step-by-step explanation:

3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)

3x + 3 = -2x + 2 - 4 (collect like terms on the right side)

3x + 3 = -2x - 2 ( add 2x on both sides)

5x + 3 = -2 ( subtract 3 on both sides)

5x = - 5 (divide by 5 on both sides)

x = -1

Answer:

(18 + 36 + 27) = 9 x (2+4+3)

(88 + 66 + 22) = 22 x (4+3+1)

(36 + 96 + 12) = 12 x (3+8+1)

(126 + 28 + 14) = 14 x (9+2+1)

(54 + 81 + 27) = 27 x (2+3+1)

(16 + 28 + 48) = 4 x (4+7+12)

Step-by-step explanation:

The equations in the solution represent each expression as a multiple of a sum of whole numbers with no common factor.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

As per the given question, the required solution would be as:

(18 + 36 + 27) = 9 × (2+4+3)

This equation represents each expression as a multiple of a sum of whole numbers with no common factor.

Similarly further equations like as :

(88 + 66 + 22) = 22 × (4+3+1)

(36 + 96 + 12) = 12 × (3+8+1)

(126 + 28 + 14) = 14 × (9+2+1)

(54 + 81 + 27) = 27 × (2+3+1)

(16 + 28 + 48) = 4 × (4+7+12)

Thus, the above equations represent each expression as a multiple of a sum of whole numbers with no common factor.

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Answer:

Rate of change of the graph = 1

Step-by-step explanation:

Rate of change of the graph at any point is defined by the slope of the line at that point.

Since, slope of a line between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{\triangle y}{\triangle x}[/tex]

In other words, slope of a line between two points is given by the ratio of rise and run of the line between the given points.

Therefore, slope of the line passing through two points (0, 2) and (1, 3) will be,

m = [tex]\frac{3-2}{1-0}[/tex]

m = 1

Rate of change at x = 1 is 1.

Answer:

444.6 liters

Step-by-step explanation:

117*3.8

444.6

Step 2: Use the information given in the problem to find the value of k, called the ... 1 – If y varies jointly as x and z, and y = 12 when x = 9 and z = 3, find z when y = 6 ... In this case, you should use v, h, and r instead of x, y, and z and notice how ...

The decimal equivalent to 9 1/3 is

SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333

Final answer in decimal form: 9.33

Therefore, the answer is C

The equivalent from of [tex]9\frac{1}{3}[/tex]   ⇒ 9.

The given mixed fraction is,

[tex]9\frac{1}{3}[/tex]

Now to convert it into decimal form

First of all convert it into simple fraction

So numerator of [tex]9\frac{1}{3}[/tex] is  formed by  multiplying 3 with 9 then add 1

and denominator remains same as 3

Therefore,

Simple fraction be

[tex]9\frac{1}{3}[/tex]  ⇒ (9x3 + 1)/3

     = 28/3

Now divide 28 by 3

we get,

9.333333

Here,

It is non terminating number

And 3 is repeating after decimal

therefore,

The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]

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Answer:

-132

Step-by-step explanation:

When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.

Answer: Actual area of wall = 50 sq. inches

Step-by-step explanation:

Given: Scale : 1 cm : 2.5 inches

A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?

So, Actual length = 2  x 2.5 inches = 5 inches

Actual width = 4 x 2.5 inches = 10 inches

Actual area = Actual length x Actual width

= 5 x 10 = 50 sq. inches

Hence, Actual area of wall = 50 sq. inches

Answer:

Step-by-step explanation:

Given that the expected profit upon deduction of booth rent and material cost is at least $300

Given

let the number of necklaces be x

booth rent= $200

The cost of materials for the necklaces = $4.5x

the selling price for all the necklaces =$20x

total expenses= booth rent+cost of material = 200+4.5x

profit = selling price -total expenses

20x-300>200+4.5x+

B. the possible solution is the value of x i.e the number of necklaces to

be sold to make a profit of $300

20x-300>200+4.5x

20x-4.5x=200+300

15.5x=500

x=500/15.5

x=32.25

The Jewelry artist must have to sell a total of approximately 32.25 necklaces

Answer:

Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.

The question is incomplete, the complete question is;

If in 0.5 min the tank gets 0.8 gallons of the water then

how many gallons will be in 1 min ?

how many gallons will be in 3 min?

and how long it takes for 40 gallons?

Answer:

1.6 gallons

4.8 gallons

25 mins

Step-by-step explanation:

This question has to do with proportion.

If it takes 0.5 mins for the tank to get 0.8 gallons

in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons

In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons

if it takes 1 min to get 1.6 gallons

it will take x mins to get 40 gallons

x = 1 * 40/1.6 = 25 mins

Answer:

Option C. 885 km/h West

Explanation:

Data obtained from the question. This include the following:

Displacement = 4425 Km due West

Time = 5 hours

Velocity =?

Velocity is defined as displacement per unit time. Mathematically, it is expressed as

Velocity = Displacement /Time

With the above formula, we can calculate the velocity of the plane as follow:

Velocity = Displacement /Time

Velocity = 4425/5

Velocity = 885 km/h West

Step-by-step explanation:

i did the quiz/test

Answer:

093006570

Step-by-step explanation:

Rut ectjyvtjyhrjtjtj5j6

Answer:

✧･ﾟ: *✧･ﾟ:*    *:･ﾟ✧*:･ﾟ✧

                Hello!

✧･ﾟ: *✧･ﾟ:*    *:･ﾟ✧*:･ﾟ✧

❖ The number 6 is an integer

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)

Step-by-step explanation:

Answer:

6 is rational.

Step-by-step explanation:

6 is rational because it is classified as a natural/counting number and a whole number.

Answer:

First line

Step-by-step explanation:

It's an X-intercept line so you're plugging in the number that the dot is on in place of the X in the formula

Answer:

Step-by-step explanation:

a

Answer:

They could both be 70

Step-by-step explanation:

The reason why is because if you subtract 40 from 180 you get 140 and that can be evenly split in 2 ways by 70.

An isosceles triangle is one with two equal-length sides. The possible measures for ∠B and ∠C are 70°.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since in an isosceles triangle the measure of any two angles is equal to each other. Therefore, assuming that ∠B and ∠C are those equal angles.

Now, given that the measure of ∠A is 40°. Therefore, the sum of the measure of all the angles of the triangle can be written as,

∠A + ∠B + ∠C  = 180°

40° + ∠B + ∠C = 180°

40° + ∠B + ∠B = 180°

2 ∠B = 180° - 40°

2 ∠B = 140°

∠B = 140°/2

∠B = 70°

∠B = ∠C = 70°

Hence, the possible measures for ∠B and ∠C are 70°.

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Answer:

Step-by-step explanation:

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

Answer: x= 24

Step-by-step explanation: (5x-24)+(3x+24)=180 and when you solve this equation you get 24. Hopes this helps love u ❤️

Answer:

No

Step-by-step explanation:

[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]

The cube of [tex]2.9[/tex] is [tex]24.389[/tex].

Answer:

50°

Step-by-step explanation:

Angle A = AngleB (Corresponding angles)

x=2x-50

x=50°

Hope it helps

Answer:

∠ ABC = 50°

Step-by-step explanation:

2x - 50 and x are corresponding angles and congruent, thus

2x - 50 = x ( subtract x from both sides )

x - 50 = 0 ( add 50 to both sides )

x = 50

Thus

∠ ABC = x = 50°

Answer:

you just do 1x2x3x4

and then that equals 24

so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is

240000

Step-by-step explanation:

Answer:

9/15

Step-by-step explanation:

because you would divide 15 by 5 and get 3 and then you would multiply the 3 by 3 and get 9.

Answer:

9/15

Step-by-step explanation:

you write the fraction 3/5 then you divide 5 by 15 you'll get 3 then 3×3 it will be 9 which is the denominator

Answer:

21+6x

Step-by-step explanation:

I dont know if it is a choice but this works

you just distribute so 3*7+(3*2x)=21+6x

hope this helps

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please

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute