5x^2+19x+12 factor the polynomial

Answers

Answer 1

Answer: Δ = 19^2 - 4*5*12 => Δ = 121 => $√(delta)$ = 11;
x1 = -0.8; x2 = -3;
5x^2+19x+12 = 5( x + 0.8)( x + 3) = ( 5x + 4)( x + 3);

Answer 2

Answer:

Answer:

( x − 3 )( 5x − 4 )

Step-by-step explanation:

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EASY 50 POINTS. PLEASE HELP!!! Write the equation of a quadratic with a parent of y = 4x^2 and a vertex of (−5, 7).

A straight line passes through the origin O and the point A(4,-2) find the equation of the line OA

Answers

Answer:

y= -1/2x

Step-by-step explanation:

Equation of the line is always in the form y=mx + c

where c is the y-intercept ( where the graph crosses the y-axis) and m is the gradient.

The straight line passes through the origin which are the points (0,0) hence

gradient= change in y÷ change in x

G= -2-0 ÷ 4-0 =-2÷4= -1/2x

y= 1/2x+c

-2=-1/2(4)+c

-2=-2+c

-2+2=c

c=0

∴ the equation of the line is y=-1/2x

Final answer:

The equation of the line passing through the origin and the point A(4,-2) is y = -0.5x.

Explanation:

In Mathematics, the equation of the line can be found using the point-slope form which is y = mx + c, where 'm' is the slope of the line and 'c' is the y-intercept. Since the line passes through the origin O(0,0), the y-intercept 'c' is 0. The slope 'm' of the line is found by the formula 'change in y/change in x'. Given the point A(4,-2), the change in y (the difference in the y-values of your two points) is -2 - 0 = -2, and the change in x (the difference in the x-values of your two points) is 4 - 0 = 4. Therefore, the slope 'm' is -2/4 = -0.5.

Substitute 'm' and 'c' values in the equation y = mx + c, we get the equation of the line OA as y = -0.5x.

Learn more about Equation of a Line here:

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Which expression is equivalent to i to the power of 233a. 1
b.-1
c.i
d.-i

Answers

i works in a cycle of fours
i^0=1
i^1= i
i^2= -1
i^3=-i
So divide the number by four and whatever the remainder is you use in this key so 233/4 = 58 remainder 1 so that is equivalent to i^1 which is i
So the answer is c) i
I hope this helped you

Please can someone help me out? am getting different answers thanks

Answers

2(2)^2 + 3(2)(-4) - 4(-4)^2 I get -80 as my answer

Use trig to solve for x show work

Answers

For example: 12. cos(20 degrees) = x/25 => x = 25*cos(20degrees).

Hannah reads 3 pages every 8 minutes. Write an equation that shows the relationship between the number of pages she reads (p) and the number of minutes she spends reading (m).

Answers

Answer: The required relation is,

$p=(3)/(8)m$

Step-by-step explanation:

Since, he reads 3 pages in every 8 minutes.

That is, 8 minutes = 3 pages,

⇒ 1 minutes = 3/8 pages,

Also, he is reading with the constant speed,

$\implies \text{m minutes}= (3)/(8)m$

Here, p represents the number of pages read in m minutes,

$\implies p=(3)/(8)m$

Which is the required relation between the number of pages she reads (p) and the number of minutes she spends reading (m).

Answer:

p = 3/8 m

BECAUSE MATHHHHHH!!!

Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the school ride threr bikes to school?

Answers

Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students

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