Expand and simplify 4(2x - 1) + 3(2x + 5)

Answer: 60 years

Step-by-step explanation:

ur answer is 60 because it's the same as 3+3 its 6 but it's

kind of the opposite way

The solution of the equation will be -7.46 and -0.54.

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

(4/2)x + 1 + (1/4)x² - 1 = 1

Simplify the equation, then we have

(4/2)x + 1 + (1/4)x² - 1 = 1

2x + 1 + (1/4)x² = 0

x² + 8x + 4 = 0

Then the solution of the equation is given as,

[tex]\rm x = \dfrac{-8 \pm \sqrt{8^2 - 4 \times 1\times 4 }}{2 \times 1}\\[/tex]

Simplify the equation, then we have

x = [-8 ± √48] / 2

x = [-8 ± 4√3] / 2

x = -4 ± 2√3

x = - 4 ± 3.46

x = -7.46, -0.54

The solution of the equation will be -7.46 and -0.54.

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90 in²

Area is the amount of space a 2-D shape occupies.

Area Formula

As stated above, the area of a triangle is [tex]\frac{1}{2}bh[/tex]. When solving for area, it doesn't actually matter which side is the base. You just have to remember to take the height perpendicular to the base you use. Since this is a right triangle, the height is the same as one of the legs. For the purpose of this question, I will use 12 as the base and 15 as the height. Because the 12 and 15 sides are perpendicular to each other, we can plug them into the formula for b and h.

Solving For A

Now we can just plug 12 and 15 in and solve.

The area of the triangle is 90 in².

Answer:

Step-by-step explanation:

Answer:

1.29 take the cost and divided by each water bottle and that’ll give you how much each water bottle cost in a pack

Step-by-step explanation:

Answer:

The length of the parking lot is 89metres

Step-by-step explanation:

Area of a rectangle = Lenght × Breadth

[tex]7031 {m}^{2} = x \times 79m \\ divide \: both \: sides \: by \: 79 \\ x = \frac{7031}{79} \\ x = 89m[/tex]

Answer:

project adam?

Step-by-step explanation:

Answer: 480 cubic ft

Step-by-step explanation:

Elon' s shed is 10ft long 6 ft wide 8 ft tall. The volume of the shed is 10 × 6 × 8 = 480 cubic feet

The percentage of fraction 3/7 is 42.8571%.

Percentage, a relative value indicating hundredth parts of any quantity. One percent  is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

All of something is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Given fraction:

3/7

To convert the fraction into percentage we have multiply 100

3/7*100

=300/7

= 42.8571%

Hence, the percentage of fraction 3/7 is 42.8571%.

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Answer: Division

Step-by-step explanation: It's simple. 1/10 = divided by 10. So, all you have to do is divide 10 by 300 and get your answer

Hey there!

1/10 of 300 = 30

1/10 * 300 = 30

1/10 * 300/1 = 30

1(300)/10(1) = 30

300/10 = 30

300 ÷ 10 / 10 ÷ 10 = 30

30 / 1 = 30

30 ÷ 1 = 30

30 = 30

Therefore, your could say you: Simplified your given equation (1/10 * 300) like how I did above and you received the answer (30) & the statement is very much true

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

$ 53,136 is  total contribution margin .

What is contribution format income?

Requirement of the question is missing which is as follows

"If the company sells 4,100 units, its total contribution margin should be closest to"

Following answer is made accordingly.

Sales (  97,200 / 3600) * 4100                                     110700

Variable expenses ( 50,544 / 3600) * 4100                 57564

Contribution margin                                                       53136

Fixed expenses                                                             37,300

Net operating income                                                     15836

The revised Contribution margin is $ 53,136 and Net Operating Profit is

$15836 if company sells 4100 units.

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Perpendicular lines from angles that measure (90) degrees

Using the normal distribution, it is found that the z-score of the height of a women 5.5 feet tall is 0.51.

The problem asks for the z-score of the height of a women 5.5 feet tall.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering that each feet has 12 inches, the parameters are given as follows:

[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (66 - 64.1)/3.7

Z = 0.51.

The z-score of the height of a women 5.5 feet tall is 0.51.

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Answer:

The first choice { (1,2) (2,3) (3,6) (4,5)}

Step-by-step explanation:

A function has each x going to only one y

The first choice has each x going to only one y

Choice two has x=21 going to different y's

Choice 3 has x= 1 going to different y's

Choice 4 has x=2 going to different y's

Answer:

different from players, yes

0.48

Step-by-step explanation:

To find the gradient when given points, label one of the x points as X2 and the other x1 ( it could be anyone of them: 3 could be X2 and 6 x1 or vise versa) and do the same with the y points, doesn't matter which one is y2 or y1.

But bare in mind, if you used the first coordinate x as x1 you must used the y coordinate as the y1. you must use the same order. so if you used X2 for second coordinate use y2 for the y point of the second coordinate.

Now set up the formula: x2-x1/y2 -y1

=( 3-6)/((-1)-5.2/

=0.48

The value of x and y that allows these two triangles to be congruent is

(-12, 11)

The congruence of two or more triangles is determined by the measurements of their sides and angles. The three sides of a triangle determine its size, and the three angles determine its shape.

Two triangles are said to be congruent if the pairs of their corresponding sides and angles are equal. They are the same size and shape. Triangles have numerous congruence conditions.

Here we will use translation to find out units of displacements

If the triangle is congruent then vertices are of same shape too which means coordinate of first triangle will give us coordinate of second triangle

The coordinates of 1st vertices of traingle1 = (5, 4), x = 5, y = 4

The coordinates of 1st vertices of traingle2 = (1, 6), x = 1, y = 6

By subtracting,

translation x = 5 - 1 = 4

translation y = 4 - 6 = -2

Thus the vertices of other triangles are translated 4 units left and 2 units up. Same goes for second vertices

-4 - 4 = 8

6 + 2 = 8

And the same will go for the last vertices (-8, 9) that is

-8 - 4 = -12

9 + 2 = 11

The value of x and y that allow these two triangles to be congruent is (-12, 11)

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Answer:

$178571.43

Step-by-step explanation:

14% of a number is 25000

multiply 25000 by 100 and divide the product by 14

you will get 178571.428571

round up the 100ths place and it's 178571.43

The required transformation of graphs are represented and attached below.

Given:

(a) function f(x) = |x| transformed to g(x) = 3 |x ₋ 1 | ₊ 3

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function : f(x) = |x|

Horizontal Shift: Right 1 Units

Vertical Shift: Up 3 Units

Reflection about the x-axis: None

Vertical Stretch: Stretched

(b) If there is a horizontal or vertical shift, reflection around the x-axis or y-axis, or vertical stretch, the function has undergone transformation. To identify the transformation, compare the function to the parent function.

Parent Function : f(x) = |x|

Horizontal Shift: Right 1 Units

Vertical Shift: Up 6 Units

Reflection about the x-axis: None

Vertical Stretch: Stretched

Hence the required graphs are plotted.

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We can actually deduce here that considering the conditional statement and scenario, the conditional statement is false.

Conditional statement is actually known to be an if-then statement. It is usually used to show and emphasizes the relationship that exists between two ideas. This means that one idea comes as a result of the other.

Conditional statements actually helps one to make proper deductions in a clear and rigorous way.

We see here that considering the scenario that "the power went out and reset all the clocks in the house", even if alarm was set, it wouldn't ring out because all the clocks in the house were reset when the power out.

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to get the slope of any straight line, we simply need two points off of it, let's use those two points on the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{2}}} \implies \cfrac{-3 -4}{2 -2}\implies \cfrac{-7}{0}\implies und efined[/tex]

Answer:

14/25

Step-by-step explanation:

The conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

From the graph, the number of backpack sales in June is not represented on the graph

The last month represented on the graph is May

On the vertical axis of the graph, the number of backpack sales that corresponds to the month of May is between 8,000 and 8,5000

By looking at the trend,

This means that the number of backpack sales in the month of June is less than the number of backpack sales in the month of May

Hence, the conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

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The conjecture about backpack sales is that June sales will be less than 8,000 units.

A conjecture is a mathematical statement without proof. Instead, conjectures survive on some existing patterns.

The existing patterns show that backpack sales peaked in November but deteriorated or decreased steadily every month.

For instance, in November, the backpack sales were 11,000 units but 10,250 in January. It reduced to 8,750 in March.

However, following the end of the Easter holidays, backpack sales may increase from May. But this prediction does not agree with the trend.

Thus, the conjecture about backpack sales is that June sales will be less than 8,000 units.

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Answer:

x=0, x=-7/3, x=-3

Step-by-step explanation:

Answer:you need to show the options at the bottom

Step-by-step explanation:

Answer:

variable

Step-by-step explanation:

Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same. For example, 7x and 2x are like terms because both terms contain same variable "x".

Answer:

[tex]y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]\pi=7x-2y[/tex]

To isolate y, add 2y to both sides:

[tex]\implies\pi+2y=7x-2y+2y[/tex]

[tex]\implies\pi+2y=7x[/tex]

Subtract π from both sides:

[tex]\implies\pi+2y - \pi=7x- \pi[/tex]

[tex]\implies 2y=7x- \pi[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

[tex]\implies y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

This can also be written as a rational function:

[tex]\implies y=\dfrac{7x- \pi}{2}[/tex]

Answer:

y = (-π + 7x)/2

Step-by-step explanation:

Now we have to,

→ find the required value of y.

The equation given is,

→ π = 7x - 2y

Then the required value of y will be,

→ π = 7x - 2y

→ -2y = π - 7x

→ y = (π - 7x)/(-2)

→ [ y = (-π + 7x)/2 ]

Hence, the equation is (-π + 7x)/2.

Collecting pennies can either be a dependent or an independent events based on the scenario.

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.

A coin toss is an illustration of an autonomous occurrence. With each toss of the coin, there is an equal probability (0.5) of either heads or tails occurring, presuming that the coin is fair and can only land on heads or tails. It doesn't matter if the coin came up heads on the prior toss.

In conclusion, collecting pennies can either be a dependent or an independent events based on the scenario.

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Answer:

LCM=18 and GCF = 3

Step-by-step explanation:

Multiples of 9: 9, 18, 27

Multiples of 6: 6, 12, 18

LCM = 18

Factors of 9: 1, 3, 9

Factors of 6: 1, 2, 3, 6

GCF = 3

Answer: Ratio of men to women is 7:  9

Step-by-step explanation:

Total: 32

Women: 18

Men: 32 - 18 = 14

Ratio of Men to Women would be 14 : 18. That simplified is 7 : 9

Answer:1.7

Step-by-step explanation:

divide 32/18=1.7