Given x=-3 when y=8. find y when x=4

2w+w^3-1/2w^2 for w=2

mars1129 [50]

The required value is 8

How can we find value?

We will find the value by putting the value of w in the given function to get the required value.

We can find the value of given function foe w=2 as shown below:

Given, function is 2w+w^3-1/2w^2

Let A=2w+w^3-1/2w^2

for w=2

A=2(2)+(2)^3-1/2(2)^2

= 2+8-1/2(4)

=2+8-2

=8

Hence, the required value is 8.

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8 0

1 year ago

Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

$x - 2 + {x}^{2} - 4x= 2$

We group like terms and equate everything to zero,

${x}^{2} + x - 4x - 2 - 2 = 0$

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

${x}^{2} + x - 4x- 4 = 0$

$x(x + 1) - 4(x + 1) = 0$

$(x + 1)(x - 4) = 0$

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

3 years ago

The following table shows the results when

Diano4ka-milaya [45]

Answer:

where's the table? where's the table I can't answer this where's the missing information

4 0

3 years ago

Read 2 more answers

Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of

Anastaziya [24]

Answer:

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.Step-by-step explanation:

Statement: Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of ingredients. Based on your knowledge, what this indicates?

For this question we assume the following options. We analyze each one in order to select the correct one.

1) The bread is rich in multi-grains.

We don't know if that's correct since we don't know the percentages of each indredient, and we can't ensure that we have a bread rich in multi grains.

2) The bread does not contain any multi-grains.

That's False, since the problem states that at the end of the list of ingredients Jane read the list of grains.

3) This is a multi-grains rich bread.

Again like the option 1 we don't know if the bread present a multi grain composition since the statement don't provide any info to suggest this.

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.

7 0

3 years ago

I need to figure out the x in this equation. 7x - 10 = 25

OverLord2011 [107]

Answer:

x=5

Step-by-step explanation:

7x-10=25

+10 +10

7x=35

divide by 7 both sides

5 0

2 years ago

Read 2 more answers