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3 years ago

2(4x – 5) = -10 + 8x

Mathematics

2 answers:

olga_2 [115]3 years ago

6 0

I pretty sure the answer is 1 !!!

Romashka [77]3 years ago

5 0

Answer:

No Solutions

Step-by-step explanation:

First open the parenthesis,

8x - 10 = -10 + 8x

Now move both variables to the same side,

remember, as a positive number moves to the other side of an equation,

it becomes negative.

Keeping that in mind,

8x - 8x = -10 + 10

0x = 0

That's not a valid equation, therefore aren't any solutions.

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Solve for w, where w is a real number.<br> √w+9=5

irga5000 [103]

If w is real then we need ignore negative sign and consider it as a mod value. So the answer will be 2

5 0

3 years ago

A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a

Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0

3 years ago

Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12

Oxana [17]

Adjacent angles are angles that are side by side (right next to each other). They share a side. #7 and 11 are pairs of adjacent angles.

Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.

#10 and 12 do not fit either of these descriptions so they are neither.

8 0

3 years ago

What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

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

This is the same as,

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

The correct answer is D .

4 0

3 years ago

which of the following is the most appropriate unit to describe the rate at which people are entering a theme park A. hours per

Aleksandr-060686 [28]

People per hour because the dependent quantity is the hours.
The number of people that enter depends on the number of hours the park is open

7 0

3 years ago

Read 2 more answers

2(4x – 5) = -10 + 8x​

2(4x – 5) = -10 + 8x