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3 years ago

4t2–40t+84 factorise quadratics

Mathematics

2 answers:

Evgen [1.6K]3 years ago

6 0

Answer:

4( t - 7) ( t - 3 )

Step-by-step explanation:

4t² - 40t + 84

4(t² - 10t + 21)

4( t - 7) ( t - 3 )

Viktor [21]3 years ago

5 0

Answer:

4(t − 3)(t − 7)

Step-by-step explanation:

4(t–3)(t–7)

4(t2–3t–7t+21)

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Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

algol [13]

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

6 0

2 years ago

Solve -3x^2-4x-4=0. Use the quadratic formula.

zepelin [54]

Let's solve your equation step-by-step.
−3x2−4x−4=0
Step 1: Use quadratic formula with a=-3, b=-4, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−4)±√(−4)2−4(−3)(−4)
2(−3)
x=
4±√−32
−6

Answer:
No real solutions.

5 0

3 years ago

Read 2 more answers

15. The floor plan of the basement of a shopping centre is drawn to a scale of 1:400.

maks197457 [2]

Answer:

4 hectares

Step-by-step explanation:

The scale factor is:

k = 1/400

Applied to the area we consider k² as the area is the product of two dimensions.

Find the actual area:

0.25 m² : (1/400)² =
0.25 m² * 160000 =
40000 m² =
40000 * 1/10000 hectares =
4 hectares

6 0

2 years ago

If r = 12 units and x = 15 units, then what is the volume of the cylinder shown above A. 8640 π cubic units B. 2160π cubic units

ZanzabumX [31]

2160 /pi cubic units

5 0

3 years ago

Identify the independent variable for this function

masya89 [10]

<h3>Answer: Time</h3>

Explanation:

Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.

The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.

8 0

3 years ago