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4 years ago

Simplify (5x^3+6x^2-10x-14)-(-14x^2+3x-8)

Mathematics

1 answer:

taurus [48]4 years ago

3 0

The simplified version of (5x^3+6x^2-10x-14)-(-14x^2+3x-8) is 5x^3+20x^2-13x-6

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At Paco’s Pizza Shop, a large pizza has a diameter of 16 inches. A small pizza has a diameter of 12 inches. What is the area of

pishuonlain [190]

The large pizza has an area of 200.96 inches and the small pizza has an area of 113.04 inches.

6 0

3 years ago

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?

konstantin123 [22]

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

$x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)$

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

$From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1$

After solving we get value of y=-1

Now putting in eq(1) to get value of x

$x+2y=0\\x+2(-1)=0\\x-2=0\\x=2$

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

$5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3$

So, After solve the equations we get value of k=3

4 0

3 years ago

PLEASE ANSWER OFFERING BRAINLEST

Inessa [10]

B-9inches hope that helps

3 0

3 years ago

A rectangle has a perimeter of 53 feet and a base of 7.1 feet. What is the height?

enot [183]

Answer:

19.4

Step-by-step explanation:

Perimeter = 53 feet

P = 2L + 2H

L = 7.1 feet

2L + 2W = 53 feet

2*7.1 + 2w = 53

14.2 + 2w = 53

2W = 53 - 14.2

2W = 38.8

W = 38.8/2

W = 19.4

H = 19.4

7 0

3 years ago

The ordered pairs (−4,−3)

lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

First part; The rule that represent the function is; y = 0.5·x - 1

Second part; the correct option is the inequality; 2·n - 6 ≥ 35

Third part; $\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}$

Fourth part; Table 4

Fifth part; $\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part; 75·w + 55 ≤ 400

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

$\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5$

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

$\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}$

Fourth part;

The best correct option is table 4, given that the table is as follows;

$\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]$

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

$\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0

2 years ago