Find the value of x.
х
50°

Answer:

Therefore, we conclude that function f(x) has a greater y-intercept.

Step-by-step explanation:

The y-intercept of any function can be determined by checking the value of y at x = 0.

Important Tip

Determining the y-intercept of the function f(x)

Given the function f(x) passes through the point (0,2).

It means at x = 0, the value of y = 2

Thus, the y-intercept of function f(x) is 2.

Determining the y-intercept of the function g(x)

Given the function g(x)

[tex]g\left(x\right)=x^2-2x-3[/tex]

substitute x = 0 in the function equation

[tex]g\left(0\right)=\left(0\right)^2-2\left(0\right)-3[/tex]

[tex]g\left(0\right)=0-0-3[/tex]

[tex]g\left(0\right)=-3[/tex]

It means at x = 0, the value of y = -3

Thus, the y-intercept of function g(x) is -3.

Conclusion:

As 2 > -3

Therefore, we conclude that function f(x) has a greater y-intercept.

Answer:

5 for $4.45

Step-by-step explanation:

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

Answer:

221 books

Step-by-step explanation:

Answer:

1.0.003

2.40 minutes

3.a,e

4.a,c,d

5.1/24

Step-by-step explanation:

Answer:

4 different odd integers:  25, 45, 55, 85

Step-by-step explanation:

Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

Answer: 4x-6= 18

4x=24

x= 24 & 4

x=6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?  

But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.

Answer:

It is a linear equation

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

Answer:

5 T-shirts

or

35 T-shirts

Step-by-step explanation:

Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).

In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.

Lets start with 185 t-shirts.

If we do 185 shirts x $15 per shirt we get $2775

That is way above the total of $2,375 so we know that this cant be the answer.

Next we can do 110 t-shirts.

If we do 110 shirts x $15 this time we get $1650.

Now while this is less than the total this is not a multiple of 10.

To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.

$2,375 - $1650 = $725

Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.

Moving onto 35 t shirts lets take the same steps.

35 x $15 (price of adult t-shirt)

We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)

$2,375 - $525 = $1850.

Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.

So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.

Lets do the last one.

5 t shirts multiplied by $15

We get $75 from this and now lets subtract again from the grand total.

$2,375 - $75 = $2,300

Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.

Anyways I hope this helps :)\

EDIT :

I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.

Answer:

A) h= 201-6t

B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour

C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B (coefficient in front of t)

D) 58 hours

Step-by-step explanation:

Candle A Went down 24 in 4 hours so thats 6 millimeters per hour.

A) h= 201-6t

Candle A Went down 24 in 4 hours so thats 6 millimeters per hour (how i found the coeffiecient in front of t.)

B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour

(Just interpreted the given equation)

C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B, although candle B is still 50% larger than candle A at the beginning of burning.

D) 290=5t

t=58 hours

It would take 58 hours for Candle B to burn down completely, from the given equation.

Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Answer:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Step-by-step explanation:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Answer:

B

Step-by-step explanation:

edge 2022

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

Answer:

$77,886

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

The table states that:

$201.6 in 2006 is worth $232.957 in 2013.

We want to find:

The value of $90,000 in 2013 in 2006:

$201.6 - $232.957

x - $90000

Applying cross multiplication

[tex]232957x = 201.6*90000[/tex]

[tex]x = \frac{201.6*90000}{232957}[/tex]

[tex]x = 77886[/tex]

$77,886 is the answer

Answer:

each piece is = 3 m long

Step-by-step explanation:

20 /10= 2

Answer:

19 cm

Step-by-step explanation:

because the third side has to be equivalent to at least one other side.

Answer:

d = 5√2 units

Step-by-step explanation:

Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values with your endpoints.

d = √[(-6 - (-7))² + (4 - 11)²]

Solve within the parentheses.

d = √[(1)² + (-7)²]

Solve the exponents.

d = √[1 + 49]

Solve within the brackets.

d = √50

Simplify the square root.

25 • 2 = 50

√25 • √2 = √50

5 • √2 = √50

d = 5√2 units

Hope this helps!

Answer:

224 feet^3

Step-by-step explanation:

Cube -> Volume = 4×7×7 = 196 feet^3

Prism -> Volume = 2×7×2 = 28 feet^3

196+28=224

Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

Answer:

the sencond and the last one

Answer:

125 • 125

Step-by-step explanation:

5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625

125 • 125 = 15,625

They give the same result so both expressions are equivalent to each other.

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

Answer:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]

Required

Decompose into partial fraction

Start by factorizing the denominator:

[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]

[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]

[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]

So, we have:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

Take LCM

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]

Cancel out the denominator

[tex]x - 20 = A(x+5)+B(x-4)}[/tex]

Open brackets

[tex]x - 20 = Ax+5A+Bx-4B[/tex]

Collect Like Terms

[tex]x - 20 = Ax+Bx+5A-4B[/tex]

[tex]x - 20 = (A+B)x+5A-4B[/tex]

By comparison;

[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]

[tex]5A - 4B = 1[/tex]

Make A the subject in [tex]A + B = 1[/tex]

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]

[tex]5(1-B) -4B = 1[/tex]

[tex]5-5B -4B = 1[/tex]

[tex]5-9B = 1[/tex]

Collect Like Terms

[tex]-9B = 1 - 5[/tex]

[tex]-9B = - 4[/tex]

[tex]B = \frac{4}{9}[/tex]

[tex]A = 1 - B[/tex]

[tex]A = 1 - \frac{4}{9}[/tex]

[tex]A = \frac{9-4}{9}[/tex]

[tex]A = \frac{5}{9}[/tex]

So:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Answer:

6

Step-by-step explanation:

:-)

Step-by-step explanation:

4+12x=7

12x=7-4

12x=3

X=3/12

X=0.25

Answer:12

Step-by-step explanation:

Answer:

12

Step-by-step explanation: