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2 years ago

11

COS Find the quotient when the polynomial expression is divided by a binomial Find the quotient ANSWER SOLUTION CHOICES X2+11x+

10) = (x+1) = Long Division Synthetic Division Answer: X2 + 5x + 1

1 answer:

ryzh [129]2 years ago

8 0

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

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a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

$b= a+4=10+4=14$

6 0

2 years ago

Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=

Nezavi [6.7K]

Given:

The system of equations is

$y=2x-5$

$2y-4x=?$

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

$y=2x-5$

$2y-4x=k$

Taking all the terms on the left side, the given equations can be rewritten as

$-2x+y+5=0$

$-4x+2y-k=0$

The system of equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ have infinitely many solutions if

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

We have,

$a_1=-2,b_1=1,c_1=5$

$a_2=-4,b_2=2,c_2=-k$

Now,

$\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}$

$\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}$

$\dfrac{1}{2}=\dfrac{5}{-k}$

On cross multiplication, we get

$-k=10$

$k=-10$

Therefore, the missing value is -10.

6 0

2 years ago

Find a linear equation to model this real-world application:

SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

<em><u>Solution:</u></em>

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

$y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650$

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

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2 years ago

The price h of a recently bought house plus 10% property tax

Bogdan [553]

H + 0.10h would be ur expression

8 0

3 years ago

Read 2 more answers

Find the exact solution of the system of equations of x^2+y^2-4x-6y+4=0 and x^2-4x-3y+4=0

gavmur [86]

We can readily know the x^2-4x+4=3y then use it to replace the same function in the first equation which refers to the 3y+y^2-6y=0
y^2-3y=0
y(y-3)=0
y1=0 -----------y2=3

7 0

3 years ago