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2 years ago

12

Which expression is the simplest form of 3(2x + y) + 4(x - 4y) + x2?

2 answers:

g100num [7]2 years ago

7 0

Answer:

x^2 + 10x - 13y.

Step-by-step explanation:

3(2x + y) + 4(x - 4y) + x^2 First apply the Distributive law to the parentheses:

= 6x + 3y + 4x - 16y + x^2 Now add like terms:

= 10x - 13y + x^2.

Elan Coil [88]2 years ago

7 0

Which expression is the simplest form of 3(2x+y)+4(x-4y)+ $x^{2}$ ?

Answer:

$x^{2}$ -13y+10x

Step-by-step explanation:

3(2x+y)+4(x-4y)+ $x^{2}$

6x+3y+4x-16y+ $x^{2}$

$x^{2}$ -13y+10x

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Len [333]

Answer:

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Step-by-step explanation:

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2 years ago

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You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars

Charra [1.4K]

Answer:

$Y = 15x+ 100$

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

$Y = 15x+ 100$ ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

$250 = 15x+ 100$

$15x=250-100$

$15x =150$

$x=\frac{150}{15}$

x = 10 months

Therefore, we need to required 10 months for $250.

4 0

3 years ago

How do you write a word form for 4.293

pychu [463]

Four and two hundred ninety-three thousandths

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2 years ago

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The diagram represents a reduction of a triangle by using a scale factor of 0.8.

Alekssandra [29.7K]

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

$H_1 =6\ in$ -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

$Original * Scale\ Factor = New$

In this case:

$H_1 * Scale\ Factor = H_2$

Substitute 6 for H1 and 0.8 for Scale Factor

$6* 0.8 = H_2$

$4.8= H_2$

Hence, the height of the smaller triangle is 4.8 inches

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2 years ago

tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use

olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

$12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}$

In this problem, r = 2/3. The division is:

$12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}$

Using the KFC rule:

$\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}$

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

$\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19$

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

6 0

10 months ago