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3 years ago

• Solve using the quadratic formula 2x2 + 11x +15= 0

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

x=-5/2, -3

Step-by-step explanation:

2x^2+11x+15=0

factor out the trinomial

(2x+5)(x+3)=0

zero property,

2x+5=0, x+3=0

2x=0-5=-5, x=-5/2

x=0-3=-3

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Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

ki77a [65]

3/4=1/2+3/x

1/4=3/x

x/4=3

x=12

6 0

3 years ago

For each 24 mm of coloured fabric Gordon uses to make his curtains, he also uses 1.2 cm of white fabric. Express the amount of w

swat32

Answer:

1 : 2

Step-by-step explanation:

Given that,

amount of coloured fabric Gordon use to make his curtain = 24mm

amount of white fabric Gordon use to make his curtain = 1.2cm

To find,

ratio of the amount of white fabric to coloured fabric

1 cm = 10mm

1.2 cm = 1.2 * 10

= 12 mm

<h3>Ratio</h3>

12 / 24

1 / 2

1 : 2

So, ratio of the amount of white fabric to coloured fabric is 1 : 2

8 0

3 years ago

I need helping answering 15. I need to create a table and graph the function.

Alekssandra [29.7K]

ANSWER and EXPLANATION

We want to order the functions from widest to narrowest:

$\begin{gathered} y=3x^2 \\ y=2x^2 \\ y=4x^2 \end{gathered}$

To do this, we have to plot the graphs of the functions by using a table of values.

Let us find the values of the functions for values of x = -2, 0, 2

For the first function:

$\begin{gathered} y=3x^2 \\ \Rightarrow x=-2: \\ y=3(-2)^2=3*4 \\ y=12 \\ \Rightarrow x=0: \\ y=3(0)^2=3*0 \\ y=0 \\ \Rightarrow x=2: \\ y=3(2)^2=3*4 \\ y=12 \end{gathered}$

Hence, its table is:

For the second function:

$\begin{gathered} y=2x^2 \\ \Rightarrow x=-2: \\ y=2(-2)^2=2*4 \\ y=8 \\ \Rightarrow x=0: \\ y=2(0)^2=2*0 \\ y=0 \\ \Rightarrow x=2: \\ y=2(2)^2=2*4 \\ y=8 \end{gathered}$

Hence, its table is:

For the third function:

$\begin{gathered} y=4x^2 \\ \Rightarrow x=-2: \\ y=4\left(-2\right)^2=4*4 \\ y=16 \\ \Rightarrow x=0: \\ y=4(0)^2=4*0 \\ y=0 \\ \Rightarrow x=2: \\ y=4(2)^2=4*4 \\ y=16 \end{gathered}$

Hence, its table is:

Now, let us plot the graphs of the functions:

Therefore, from the graph, we see that the order of the functions from widest to narrowest is: