0.16(a-4)=0.3(2a+4) Solve the Equation

The model represents x2 – 9x + 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot

klio [65]

I didn't get all the part with the tiles, but here's the general answer:

given a polynomial

$p(x)=ax^2+bx+c$

we have that $x-k$ is a factor of $p(x)$ if and only if k is a root of $p(x)$ , i.e. if

$p(k)=ak^2+bk+c=0$

So, given the polynomial

$p(x)=x^2-9x+14$

We can check if $x-9$ is a factor by evaluating $p(9)$ :

$p(9)=81-81+14=14\neq 0$

So, $x-9$ is not a factor.

Similarly, we can evaluate $p(2),\ p(-5),\ p(-7)$ to check if $x-2,\ x+5,\ x+7$ are factors:

$p(2)=4-18+14=0,\quad p(-5)=25+45+14=84\neq 0,\quad p(-7)=49+63+14=126 \neq 0$

So, only $x-2$ is a factor of $x^2-9x+14$

4 0

3 years ago

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A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team.

Illusion [34]

Answer:

i dont know

Step-by-step explanation:

8 0

3 years ago

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What’s the element?

FromTheMoon [43]

Explanations and Steps:

How to find the elements:

*Take every element (either one capital letter OR two letters with the first capital and second lowercase)

*Reference the periodic table to find the element name

The number of reactants:

*Reactants are on the left side, what there is before the reaction

*Each reactant is separated by the + sign

*They may be more than one element

The number of products:

*Products are on the right side, what there is after the reaction

*Each product is separated with the + sign

*They may be more than one element

Is it balanced:

Count the number of each element on both sides. It is balanced if both sides have the same number of every element.

*Write out each of the element symbols for each side

*Remember the multiply subscripts (little numbers) by coefficients (big numbers)

Answers:

6.

The elements are:

H - hydrogen

Cl - chlorine

Ca - calcium

O - oxygen

# of reactants: 2

# of products: 2

Is it balanced?

Reactants:

H 4

Cl 2

Ca 1

O 2

Products:

H 2

Cl 2

Ca 1

O 1

It's not balanced because H and O have different numbers of atoms in the reactants and products.

7.

The elements are:

K - potassium

Cl - chlorine

O - oxygen

# of reactants: 1

# of products: 2

Is it balanced?

Reactants:

K 1

Cl 1

O 3

Products:

K 1

Cl 1

O 2

It's not balanced because there are three oxygen atoms for reactants but only two oxygen atoms in the product.

8.

The elements are:

K - potassium

P - phosphorus

O - oxygen

H - hydrogen

Cl - chlorine

# of reactants: 2

# of products: 2

Is it balanced?

Reactants:

K 3

P 1

O 4

H 1

Cl 1

Products:

K 3

P 1

O 4

H 3

Cl 3

It's not balanced because H and Cl have different numbers of atoms.

9.

The elements are:

S - sulphur

O - oxygen

# of reactants: 2

# of products: 1

Is it balanced?

Reactants:

S 2

O 6

Products:

S 2

O 6

It's balanced because both sides have 2 sulphur atoms and six oxygen atoms.

10.

The elements are:

K - potassium

I - iodine

Pb - lead

N - nitrogen

O - oxygen

# of reactants: 2

# of products: 2

Is it balanced?

Reactants:

K 2

I 2

Pb 1

N 2

O 6

Products:

K 1

I 2

Pb 1

N 1

O 3

It's not balanced because K, N and O have different numbers of atoms.

4 0

3 years ago

Ariane borrows $200 on a 5 year loan she is charged 5% simple interest how much interest is she charged for 5 years what is the

ycow [4]

Answer:

Interest: $50 | Total: $250

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

$I = Prt$

I = interest amount

P = principal amount

r = interest rate (decimal form)

t = time

Now we can plug in the values into the equation:

$I = 200(.05)(5)$

$I = 50$

This means that Ariane is charged $50 worth of interest. She has to pay back $250 total dollars.

3 0

3 years ago

The slope-intercept form is y=

AVprozaik [17]

The slope-intercept for is currently y=mx+b and remember m=the slope and b= the y-intercept.

4 0

3 years ago

0.16(a-4)=0.3(2a+4)Solve the Equation