check whether x-1/2 is a factor of 8x3-4x2+10x-5

If a tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long and the building is 16 m high, then the height of the tower is equal to 24 m.

The height of the tower can be determined by using proportionality.

In this problem, the shadows of the building and the tower are proportional to the heights of the building and the tower.

Hence, the equation can be written as:

shadow of the tower ÷ shadow of the building = height of the tower ÷ height of the building

12 / 8 = h / 16

Here h is equal to the height of the tower

1.5 = h / 16

h = 1.5 x 16

h = 24

Hence, the height of the tower is calculated to be 24 meters.

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Answer:

B: 1/5 = 4/x

Step-by-step explanation:

1cm = 5km

4cm = 20km

Step-by-step explanation:

a(n) = a +(n-1)d

a=-2

d=4+2=6

°.° a(n) = -2 +(n–1)6

hope this helps

Answer:

The sum of the exterior angles in a convex 50-gon polygon is 360° ⇒ A

Step-by-step explanation:

In the question

∵ The polygon has 50 sides

→ By using the 3rd rule above

∵ The sum of the exterior angles of any polygon (n-gon) is 360°

∴ The sum of the exterior angles in a convex 50-gon polygon is 360°

Answer:

x = -7

Step-by-step explanation:

The equilibrium price of hot dogs A. increases.

The equilibrium quantity of hot dogs A. increases

The supply curve shifts right

The demand curve shifts right.

It should be noted that the equilibrium price is the pice at which the quantity demanded and supplied is equal

In this case, the equilibrium price of hot dogs increases and the equilibrium quantity of hot dogs increases.

This will cause a positive affect on the supply and demand curve and they will shift I the right.

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Answer:

D

Step-by-step explanation:

The Answer is D

Answer:

Somebody already answered lol but it’s D.

Step-by-step explanation:

I’m bored

Answer:

Ten is two more than five times a number ten is two more translate to10+2 Five times the number translates to 5x where x stand for the number. And the word than means equality. So the equation is10+2=5x→5x=12

Answer:$20

Step-by-step explanation: We first need to figure out how much a single candy is worth. To do that we need to divide 40 candy bars by $30. 40/30 is equal to 4/3 or $1.33 dollars each. Now we multiply 15 by the price of a single candy bar which is 4/3 or 1.33 dollars. 4/3*15 is $20.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

Answer:

the answer of this qst is A

Applying the least common multiple, the fraction is rewritten as

[tex]\frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]

Which is option A.

---------------------------------------

The fraction given is:

[tex]\frac{4200}{x} + \frac{4200}{x + 100}[/tex]

When two fractions with different denominators are added, the first step is finding the least common multiple of the denominators. The lcm of x and x + 100 is x(x + 100), thus we use it to factor the fraction.

[tex]\frac{4200}{x} + \frac{4200}{x + 100} = \frac{4200\frac{x(x+100)}{x}}{x(x+100)} + \frac{4200\frac{x(x+100)}{x+100}}{x(x+100)} = \frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]

Which is option A.

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Answer:

its 6............................

Answer:

Independent Variable: Number of bagels bought

Dependent Variable: Total cost because it depends on the number of bagels bought.

Function: N(x)=1.75x

So, if x is the number of bagels bought, N(14) means that 14 bagels were bought. So you multiply 14 by the price; 1.75. So, N(x)=1.75*14 = $24.5

Step-by-step explanation:

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is V(x) =1.75x.

So V(14) = 24.5, meaning 14 bagels will cost 24.5 dollars.

Step-by-step explanation:

Have a good day :)

Please give me Thanks

Answer:

D;75ml

Step-by-step explanation:

1st water→30ml

1st oil→20ml

2nd water →Xml

2nd oil →50ml

30→20

X →50

cross multiply both equations

1500=20x

X=1500/20

X=75ml

Answer:

Ans is ( 1 , 4 )

Step-by-step explanation:

meter jhdogasdoiew

Answer:

(1, -5).

Step-by-step explanation:

The robot is at the point (-3, -5).

If it moves 4 to the right the x coordinate increases by 4 and the y-coordinate stays the same.

The answer is

((-3 + 4, -5)

= (1, -5).

The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let the two consecutive even integers be 2x and 2x+2 then there sum of reciprocal will be 7/24 that is now solving for positive value of x by finding roots of quadratic equation :

[tex]\begin{aligned}\frac{1}{2x}+\frac{1}{2x+2}&=\frac{7}{24}\\\frac{1}{x}+\frac{1}{x+1}&=\frac{7}{12}\\\frac{2x+1}{x^2+x}&=\frac{7}{12}\\24x+12&=7x^2+7x\\7x^2-17x+12x&=0\\x&=3, \frac{-4}{7} \end{aligned}[/tex]

Consider only positive value of x that is 3

Therefore, The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

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The account after 1 year if he makes no withdrawals will be $309.

Omar deposits $300 in an account earning 3% interest compounded annually.

And,  3% interest compounded annually

To find the how much will be in the account after 1 year if he makes no withdrawals?

Now, According to the question:

We know that

P = 300

r = 3%

n = 1

t = 1

where:

P = Principle

r=rate

n=time

And formula is:

P ×[tex](1+r/n)^n^t[/tex]

Substitute the values in the formula

= 300 × [tex](1 + \frac{3}{100} / 1 )^1[/tex]

Evaluate the equation / expression , we get

= 309

Hence, The account after 1 year if he makes no withdrawals will be $309.

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Answer:

dang steve dog training go brrr

Step-by-step explanation:

Answer: 80

Step-by-step explanation: First divide 48 by 6 and that would give us 8. Then multiply 8 by 10 which equals 80 and thats how you do it!

Answer:

Step-by-step explanation:

The distance from the balcony to the ground level = 37 - 0 = 37ft

The distance from the basement floor to the ground level = 0 - (-17) = 17 feet

the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)

= 37 + 17

= 54 feet

Hence the distance of the balcony and basement from ground level is 54 feet

Answer:

4x

Step-by-step explanation:

2x+6+2x−6

=2x+6+2x+−6

Combine Like Terms:

=2x+6+2x+−6

=(2x+2x)+(6+−6)

=4x

Answer:

0.856p dollars

Step-by-step explanation:

Original price of TV: p

Discount: 20% of p

Discounted price: p - 20% of p = p - 0.2p = 0.8p

7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p

Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p

Answer: 0.856p dollars

Answer:

Step-by-step explanation:

y = 4x + 2                 Substitute x = -6

y = 4(-6) + 2

y = -24 + 2

y = - 22

if 2 cm is 1 meter then 1 meter is 2 cm

13 * 2 = 26

26 cm is the answer

Answer:

_5x/4 radians is answer

Answer and explanation:

The equation y=4.2x can be represented by a situation such as the total price of a number of goods

For example, if the total price of chocolate candies purchased from a store is given by the equation

y=4.2x

Such that the price per chocolate candy is $4.2 and x number of chocolate candies are bought, total price of chocolate candies bought is y

If 6 chocolate candies are bought, total price y using the equation would be

y=4.2 *6= $25.2

Answer:

B) x < 9 or x > 23

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I'm so sorry if I'm not correct, but that's the only answer that makes any sense to the sentence.

Answer:

c

Step-by-step explanation: