Which function has a maximum with the same maximum value as
f(x) = – |x + 3| – 2? f(x) = (x + 3)2 – 2 f(x) = –(x – 6)2 – 3

Answer:

5/4

Step-by-step explanation:

Hi there!

We are given the line 5x-4y=3, and we want to find the slope of it.

The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)

To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)

First, subtract 5x from both sides

5x-4y=3

-5x     -5x

____________

-4y = -5x + 3

Divide both sides by -4

[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]

In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.

Hope this helps!

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Answer:

A

Step-by-step explanation:

112/0.8 = 140

Answer:

A

Step-by-step explanation:

I am not sure about the answer

Answer:

32 square milimeters

Step-by-step explanation:

3/4 of 24= 18    (rectangle 8X3)

4x2=8     (rectangle 4x2)

half of 12 =6       (rectangle  4x3)

   18+8+6 =32

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]

Function: y = 2x²-5

Find y-intercept:

y = 2(0)²-5

y = -5

Find x-intercept:

2x²-5 = 0

2x² = 5

x² = 2.5

x = ±√2.5

x = -1.5811 , 1.5811

Graph plotted:

Answer:

Vertex and y-intercept (0, -5)

x-intercepts (-1.58, 0)  (1.58, 0)

opens upwards

other plot points: (-2, 3) (-1, -3) (1, -3) (2, 3)

Step-by-step explanation:

The graph is not quite correct - it's a little too narrow and doesn't go through the points on the graph.

The y-intercept is when x = 0:

f(0) = 2(0)² - 5

      = - 5

Therefore, the y-intercept is at (0, -5)

We also know that the y-intercept is the vertex since the equation is in the form [tex]f(x)=ax^2+c[/tex]

The x-intercepts are when f(x) = 0:

[tex]\implies 2x^2 - 5 = 0[/tex]

[tex]\implies x^2 =\dfrac52[/tex]

[tex]\implies x=\pm1.58113883...[/tex]

As the leading coefficient is positive, the parabola opens upwards.

Finally, input values -2 ≤ x ≤ 2 to find plot points:

(-2, 3)

(-1, -3)

(0, -5)

(1, -3)

(2, 3)

Answer:

5x+4=2x+3-x+1+4x

7x=3+2x+4+5x-7

2x+3=8+10x-8x-5

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

These are the equivalent expressions.

What is an expression?

It is a sentence with a minimum of two numbers or variables and at least one math operation.

Given expression can be solved like:

1. 2x+3-x+1+4x = 5x+4

Which is same as the first option.

2. 7x-5-2x+9 = 5x +4

Which is same as the first option.

3. 8+10x-8x-5 = 2x+3

Which is same as the third option.

4. 3+2x+4+5x-7 = 7x

Which is same as the second option.

5. x-1+2x+2+4x-1 = 7x

Which is same as the second option.  

6. 4x+6-2x-3=2x+3

Which is same as the third option.

Hence, the equivalent options are :

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

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[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.

Therefore, the correct choice is ~

D. The system is inconsistent because it has no solution.

Answer:

sinΘ = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

using the identity

sin²x + cos²x = 1  ( subtract cos²x from both sides )

sin²x = 1 - cos²x ( take square root of both sides )

sinx = ± [tex]\sqrt{1-cos^2x}[/tex]

given

cosΘ = - [tex]\frac{\sqrt{5} }{3}[/tex] , then

sinΘ = ± [tex]\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }[/tex]

        = ± [tex]\sqrt{1-\frac{5}{9} }[/tex]

        = ± [tex]\sqrt{\frac{4}{9} }[/tex]

        = ± [tex]\frac{2}{3}[/tex]

since Θ is in quadrant II where sinΘ > 0 , then

sinΘ = [tex]\frac{2}{3}[/tex]

Answer: Archimedes

Step-by-step explanation:

Archimedes was considered the father of mathematics, simply because he made profound advancements in both science and math. His title is purely a nickname, and not because he actually created math.

Answer:

Archimedes is known as the Father Of Mathematics

Step-by-step explanation:

Answer:

4 7/11

Step-by-step explanation:

1 6/11 * 3 = 3 18/11 = 4 7/11

Using the normal probability distribution and the central limit theorem, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem, for the population, the mean and the standard deviation are given by, respectively:

[tex]\mu = 185.47, \sigma = 39[/tex].

For a sample of 37 passengers, we have that:

[tex]n = 37, s = \frac{39}{\sqrt{37}} = 6.4116[/tex]

The probability that the aircraft is overloaded is one subtracted by the p-value of Z when X = 167.6, hence:

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

By the Central Limit Theorem:

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

[tex]Z = \frac{167.6 - 185.47}{6.4116}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a p-value of 0.0026.

1 - 0.0026 = 0.9974.

There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.

To lern more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

I need more to solve!!

Have an amazing day!!

Answer:

-0.125

Step-by-step explanation:

Shown in the image above

Answer:

[tex]\boxed{\sf{-30}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is solve by order of operations.

PEMDAS stands for:

First, remove parenthesis.

Multiply.

-3*10

Solve.

[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]

-30

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-30

Step-by-step explanation:

it is adding 10 three times, but then you add the negative after

so it is 10+10+10 because you are multiplying it by 3

you could also add 3 ten times because the communitive property

so 3+3+3+3+3+3+3+3+3+3

you would do the same whether the -3 was in parentheses or not

Answer:

Step-by-step explanation:

Set equations as follows

20 years ago

Mike was four times as old as John:

Four years from now

Mike will be twice as old as John:

Simplify each equation

Solve for y by substitution

Find the value of x

I hope you can convert the above equations into required format. Let me know if not.

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

Answer:

y=5x

which means 3 will be dedicated to 5

so 5=3y

[tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

If one cup of chocolate chips weighs about 6 ounces

we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.

[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup

= 3 + 0.25

= 3.25 cups

Weight of 3.25 cups = 3.25 cups × 6 ounces/cup

Weight of 3.25 cups = 19.5 ounces

Therefore, [tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

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Answer:

48

Step-by-step explanation:

vertical angles are equal

Answer:

48

Step-by-step explanation:

This is because vertical angles (which is opposite of each other when the two lines cross) are congruent, meaning they have the same angles.

[tex] \frac{3}{10 } = 0.3[/tex]

[tex]0.25 < 0.3 < 0.333[/tex]

[tex] \frac{32}{100} = \frac{8}{25} = 0.32[/tex]

[tex]0.25 < 0.32 < 0.333[/tex]

[tex] \frac{26}{100} = \frac{13}{50} = 0.26[/tex]

[tex]0.25 < 0.26 < 0.333[/tex]

[tex] \frac{28}{100} = \frac{7}{25} = 0.28[/tex]

[tex]0.25 < 0.28 < 0.333[/tex]

[tex] \frac{252}{1000} = \frac{63}{250} = 0.252[/tex]

[tex]0.25 < 0.252 < 0.333[/tex]

[tex] \frac{ \frac{ - 2}{5} + \frac{1}{2} }{2} = \frac{ \frac{ - 4 + 5}{10} }{2} = \frac{ \frac{1}{10} }{2} = \frac{1}{20} [/tex]

Answer:

[tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle \large{y=x^2}[/tex]

Make ‘x’ the subject of the formula by square root both sides:

[tex]\displaystyle \large{\sqrt{y}=\sqrt{x^2}}[/tex]

Cancel the square root and square in RHS and write plus-minus in LHS:

[tex]\displaystyle \large{\pm \sqrt{y}= x}\\\displaystyle \large{x=\pm \sqrt{y}}[/tex]

Therefore, the solution is [tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]

__________________________________________________________

Summary

To make a variable as the subject of equation means to isolate that variable. For an example, if you want to make y as the subject, you’ll have to isolate y-term.

You may also be curious why do you have to add plus-minus on another side when cancelling [tex]\displaystyle \large{\sqrt{x^2}}[/tex] because [tex]\displaystyle \large{\sqrt{x^2}=|x|}[/tex] and [tex]\displaystyle \large{|x|}[/tex] for their positive and their counterparts (opposite/negative) will always give same y-value.

From an example:

[tex]\displaystyle \large{\sqrt{x^2}=4}[/tex] can be rewritten as [tex]\displaystyle \large{|x|=4}[/tex], cancel absolute sign/square root then write plus-minus which the solution is [tex]\displaystyle \large{x=\pm 4}[/tex] and if you substitute x = 4 or -4, the equation will be true for both values.

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

Answer:

3. 13/36, 14/36, 15/36, 16/36, 17/36

4.

-0.5 -0.25 0 0.25 0.5

5. 0.05

3.

five rational numbers:

0.35, 0.4, 0.42, 0.45, 0.46

4. Given in the graph below.

5. (-2/5 + 1/2)/2 = 0.05

Answer:

Ans might be a+b+c

Step-by-step explanation:

Hope the picture will help

Answer:

See below ↓

Step-by-step explanation:

Applications

Answer:

Final answer -

[tex]d(FD) = \sqrt{65 } \: units[/tex]

hope helpful :D

Answer:

Step-by-step explanation:

Multiples refer to the way their numbers are counted from 1 to 100.

These numbers are multiples of 6.

Multiples of 6 are:

Therefore, the correct answer is C. 6.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is C.

Step-by-step explanation:

6÷6=1

18÷6=3

24÷6=4

36÷6=6

Answer:

x = 155

Step-by-step explanation:

[tex]\sqrt{x-11} +7=19[/tex]

[tex]\sqrt{x-11} =12[/tex]

[tex](\sqrt{x-11} )^2=12^2[/tex]

[tex]x-11=144[/tex]

x = 155

Check the picture below, so it reaches the maximum height at the vertex, let's check where that is

[tex]h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}[/tex]

Answer:

The first one. Top left.

Step-by-step explanation:

The top right one makes a triangular prism.

I don't even know if the bottom right is even a thing.

The bottom left is a cube.

Answer: Top left.

Step-by-step explanation: The net of a rectangular prism doesn't have any triangles, so that eliminates the two nets that have triangles.  The net with only squares is the net of a cube, so that isn't right either.  The net above the net of a cube is the correct answer, because it includes rectangles and looks exactly like the net of the rectangular prism.

Let me know if this is right! :)