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2 years ago

Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.

Mathematics

1 answer:

kirill115 [55]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

The quadratic equation in factored form:

a(x - α)(x - β), where a- leading coefficient, α and β - roots

We have:

a = 3, α = 1, β = -2

Substitute them to get:

3(x - 1)(x + 2)

Converting this into standard form:

3(x - 1)(x + 2) =
3(x² + x - 2) =
3x² + 3x - 6

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B)simplify the expression 7x2 + 4x – 2 + 8x2 – 9x – 5

konstantin123 [22]

Answer:

=25x-7

Step-by-step explanation:

4 0

3 years ago

cora says she doesn't need to know the y-intercept of a line to write its equation, just its slope and some other point on the l

Nadusha1986 [10]

Answer:

The equation of line with given slope that include given points is 3 y + x - 20 = 0

Step-by-step explanation:

According to Cora , if we know the slope and points on a line then we can write the equation of a line .

Since , The equation of line in slope-intercept form is

y = m x + c

Where m is the slope of line , and if we know the points ( x , y ) which satisfy the line then constant term c can be get and the equation of line can be formed .

So , From the statement said above it is clear that she is correct .

Now , Again

Given as :

Slope of a line is m = - $\frac{1}{3}$

That include points ( 2 , 6 )

Now from the equation of line as y = m x + c

∴ 6 = - $\frac{1}{3}$ ( 2 ) + c

Or, 6 = - $\frac{2}{3}$ + c

So , c = 6 + $\frac{2}{3}$

or, c = $\frac{18 + 2}{3}$

∴ c = $\frac{20}{3}$

So, The equation of line can be written as

y = - $\frac{1}{3}$ x + $\frac{20}{3}$

Or, 3 y = - x + 20

I.e 3 y + x - 20 = 0

Hence The equation of line with given slope that include given points is 3 y + x - 20 = 0 Answer

8 0

3 years ago

Mr.george owns 425 acres of land.if he divides the land into half-acre plots,how many plots will he have?

tatiyna

850
All you do is times 425 by 2
425×2
850
hope this helps

6 0

2 years ago

Which line is most likely to have a slope of 10 ?

hodyreva [135]

The line that is most likely to have a slope of 10 is the second one down

6 0

3 years ago

Read 2 more answers

A wall is 20 feet long and requires 1,470 bricks to build. How high is the wall?

Arte-miy333 [17]

Answer: The height of wall is 10.5 feet.

Step-by-step explanation:

Since we have given that

Number of bricks to build = 1470

Length of wall = 20 feet

We need to find the height of wall.

As we know that

Bricklayer's formula is given by

$N=7LH\\\\1470=7\times 20\times H\\\\1470=140\times H\\\\\dfrac{1470}{140}=H\\\\10.5\ ft=H$

Hence, the height of wall is 10.5 feet.

3 0

2 years ago