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3 years ago

Factorise 2x²-9x+10 (this must be put in two brackets)

Mathematics

2 answers:

kap26 [50]3 years ago

8 0

$2 x^{2} -9x+10=2 x^{2} -4x-5x+10=2x(x-2)-5(x-2)= \\ =(x-2)(2x-5).$

galben [10]3 years ago

4 0

Find both roots :
$\Delta=81-80=1$ hence $r=\frac{9\pm1}4=\frac{5}2\text{ or }2$

Thus it is $2(x-\frac{5}2)(x-2)$

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Solve the following 3 × 3 system. Enter the coordinates of the solution below.

defon

9514 1404 393

Answer:

(x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

(2x -3y -2z) +(x +3y +2z) = (4) +(-7)

3x = -3

x = -1

Adding equations 2 and 3:

(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

-3x -y = 3

Substituting for x, we get ...

(-3)(-1) -y = 3

0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

-1 +2z = -7

2z = -6 . . . . . add 1

z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

3 0

3 years ago

A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a n

Brrunno [24]

I think it is A. I could be wrong

4 0

3 years ago

Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h

SVEN [57.7K]

The given function is

$h(x)=-16x^2+300x+20$

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

$h=-\frac{b}{2a}$

Where a = -16 and b = 300.

$\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}$

Then, we find k by evaluating the function

$\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}$

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

$t=2\cdot9.375=18.75$

Hence, the rocket hits the ground after 18.75 seconds.

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11 months ago

Equivalent to 3n + 2(1 - 4n)

kirill115 [55]

Answer:

5n+2

Step-by-step explanation:

i hope this helps

5 0

2 years ago

Will give brainliest

tester [92]

Answer:

its all sides are equal and diagonal make 90° angle.

so, the answer option c.

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