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3 years ago

Find x and y intercepts y=(2x+10)(x-2)

Mathematics

1 answer:

slega [8]3 years ago

8 0

Step-by-step explanation:

$y = (2x + 10)(x - 2)$

$y = 2x(x - 2) + 10(x - 2)$

$y = 2x ^{2} - 4x + 10x - 20$

$y = 2x ^{2} + 6x - 20$

$to \: find \: x \: intercept \: y = 0$

$0 = 2x ^{2} + 6x - 20$

$x = 2 \: or \: - 5$

$to \: find \: y \: intercept \: x = 0$

$y = 2(0)^{2} + 6(0) - 20$

$y = - 20$

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isabel thinks she has space for a 45 inch wide book case it turns out she only has space for a 40 inch wide book case what is th

Minchanka [31]

Answer:

The percent error in Isabel's measurement is 12.5%.

Step-by-step explanation:

Given:

Isabel thinks she has space for a 45 inch wide bookcase it turns out she only has space for a 40 inch wide bookcase.

Now, to find the percent error in Isabel's measurement.

Measurement she thinks = 45 inch.

The actual measurement = 40 inch.

So, the error in measurement = $45-40=5\ inch.$

Now, to get the percent error of the measurement:

$\frac{5}{40} \times 100$

$=\frac{500}{40}$

$=12.5\%.$

Therefore, the percent error in Isabel's measurement is 12.5%.

6 0

4 years ago

if your ans is correct i will choose you as a brainlist when the number of student of a school was increased by 30% it became 45

kicyunya [14]

Step-by-step explanation:

find 30% of 455

which is = 136.5

then subtract 136.5 from the original number(455)

455 - 136.5

=318.5 student

6 0

3 years ago

Read 2 more answers

Simplify the polynomial (2x^3 + x^2 - 4x) - (9x^3 + - 3x^2)

iragen [17]

(2x3-4x2-3x-9)/(x-3) Final result : 2x2 + 2x + 3 Step by step solution :Step 1 :Equation at the end of step 1 : Step 2 :Equation at the end of step 2 : Step 3 : 2x3 - 4x2 - 3x - 9 Simplify —————————————————— x - 3 Checking for a perfect cube :

3.1 2x3 - 4x2 - 3x - 9 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3 - 4x2 - 3x - 9

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -3x - 9
Group 2: 2x3 - 4x2

Pull out from each group separately :

Group 1: (x + 3) • (-3)
Group 2: (x - 2) • (2x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = 2x3 - 4x2 - 3x - 9
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 2 and the Trailing Constant is -9.

The factor(s) are:

of the Leading Coefficient : 1,2
of the Trailing Constant : 1 ,3 ,9

Let us test ....

P Q P/Q F(P/Q) Divisor -1 1 -1.00 -12.00 -1 2 -0.50 -8.75 -3 1 -3.00 -90.00 -3 2 -1.50 -20.25 -9 1 -9.00 -1764.00 -9 2 -4.50 -258.75 1 1 1.00 -14.00 1 2 0.50 -11.25 3 1 3.00 0.00 x - 3 3 2 1.50 -15.75 9 1 9.00 1098.00 9 2 4.50 78.75

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that
 2x3 - 4x2 - 3x - 9 
can be divided with x - 3

Polynomial Long Division :

3.4 Polynomial Long Division
Dividing : 2x3 - 4x2 - 3x - 9
 ("Dividend")
By : x - 3 ("Divisor")

dividend 2x3 - 4x2 - 3x - 9 - divisor * 2x2 2x3 - 6x2 remainder 2x2 - 3x - 9 - divisor * 2x1 2x2 - 6x remainder 3x - 9 - divisor * 3x0 3x - 9 remainder 0

Quotient : 2x2+2x+3 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring 2x2+2x+3

The first term is, 2x2 its coefficient is 2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +3 

Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 2 .

-6 + -1 = -7 -3 + -2 = -5 -2 + -3 = -5 -1 + -6 = -7 1 + 6 = 7 2 + 3 = 5 3 + 2 = 5 6 + 1 = 7

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Canceling Out :

3.6 Cancel out (x-3) which appears on both sides of the fraction line.

Final result : 2x2 + 2x + 3

4 0

4 years ago

Read 2 more answers

Lisa built a rectangular flower garden that is 4 feet wide and has a perimeter of 26 feet.

gavmur [86]

Hello!

The formula for the perimeter of a rectangle is:

A = 2l * 2w

Since we already have the width, we must multiply that by two (because there are two pairs of equal sides in a rectangle) and subtract that from the perimeter to find the length.

4 + 4 = 8

26 - 8 = 18

18/2 = 9

So, the length of Lisa's flower garden is 9 ft.

7 0

3 years ago

Use the quadratic regression to find the equation for the parabola going through these 3 points (-5, 161) (-2, 29) (6, 205)

Rama09 [41]

Answer:

The equation of the parabola is y = 6 $x^{2}$ -2b+1

Step-by-step explanation:

First we write a quadratic equation of parabola as y = a $x^{2}$ +bx+c

Now it is given in the question that parabola passes through three points (-5,161),(-2,29),(6,205).

To find the equation we have to get the value of a,b & c.

Now we form three equations to find the value of a,b,c.

We put the value (-5,161) in the equation

161 = a×25+b×(-5)+c

161 = 25a-5b+c----------(1)

Now we put (-2,29) in the equation

29 = a×4+b×(-2)+c

29 = 4a-2b+c---------(2)

Again we put (6,205) in the equation

205 = a×36+6b+c------------(3)

Now we subtract equation (1) from (2)

161-29 = 25a-4a-5b-(-2b)+c-c

132 = 21a-5b+2b

132 = 21a-3b

132 = 3(7a-b)

44 = 7a-b---------(4)

Now we subtract equation (2) from (3)

205-29 = 36a-4a+6b-(-2b)+c-c

176 = 32a+6b+2b

176 = 32a+8b

176 = 8(4a+b)

22 = 4a+b------------(5)

Now we add equation (5) and (4)

44+22 = 7a+4a-b+b

66 = 11a

a = 6

Now we put the value a in equation (4)

44 = 7×6-b

44 = 42-b

44-42 = -b

2 = (-b)

b = (-2)

Now we put the value of a and b in equation number (2)

29 = 4×6-2(-2)+c

29 = 24+4+c

29 = 28+c

c = 29-28

c =1

Finally we put the value of a,b,c in the quadratic equation

y = 6 $x^{2}$ +(-2)x+1

y = 6 $x^{2}$ -2+1

This is the final answer.

6 0

3 years ago