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2 years ago

FACTORISE = 4X²+ 17x+15 THX

Mathematics

2 answers:

Eva8 [605]2 years ago

8 0

4 * 15 = 60

x * y = 60
x + y = 17

What two numbers multiply to get 60 and add to get 17

EleoNora [17]2 years ago

6 0

Answer:

$\sf (4x +5)(x+3)$

explanation:

$\sf 4x^2 + 17x + 15$

common term of 15 and 4 is 60: [ 12 * 5 ]

$\sf 4x^2 +12x+5x+ 15$

break down and factorise

$\sf 4x(x+3) +5(x+3)$

group them together

$\sf (4x +5)(x+3)$

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zlopas [31]

The variable would be m Lol

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2 years ago

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Which classification describes the following syastem of equations? x=5 y=6 -x - y +z = 0

Papessa [141]

Answer:

Is a consistent independent system

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

we have

$x=5$ ----> equation A

$y=6$ ----> equation B

$-x-y+z=0$ ----> equation C

substitute equation A and equation B in equation C

$-5-6+z=0$

Solve for z

$z=11$

The solution is the point (5,6,11)

The system has only one solution

therefore

Is a consistent independent system

6 0

2 years ago

(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

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2 years ago

Write an equation for a line passing through (-4, 3) and (0, 6)

Elena L [17]

Answer:

y = 3/4x + 6

Step-by-step explanation:

6-3 3

------- = ------

0--4 4

y = mx + b

take coordinates for y and x out of (-4, 3) or (0,6)

6= 3/4 * 0 + b

6 = 0 + b

b = 6

7 0

2 years ago

F(t)=8.50(1.15)^3 (the 3 means to the third powers). This in my test I'm taking right now, please yall I need someone one to sol

Vinil7 [7]

Answer:

12.9

Step-by-step explanation:

Given data

Give the expression

F(t)=8.50(1.15)^3

Let us solve the term in the bracket

F(t)=8.50*1.520875

F(t)=12.9

Hence the final answer is 12.9

4 0

2 years ago