please help with my work​

[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]

[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]

Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.

Step-by-step explanation:

Answer:

f(-5) = 19

Step-by-step explanation:

f(x) = -3x + 4

f(-5) = -3(-5) + 4

f(-5) = 15 + 4

f(-5) = 19

Answer: The answer is 19

Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.

Forgot to add the F(-5) sorry.

Answer:

im not to sure i think it is 45

Step-by-step explanation:

your welcome

Answer:

-2y=6-x

y=0.5x-3

x=0

y=0.5*0-3=-3

(0;-3)

y=0

0=0.5x-3

0.5x=3

x=3/0.5=6

(6;0)

Answer:

Step-by-step explanation:

Since B is the right angle, AC is the opposite side - hypotenuse.

Use Pythagorean and find the missing side, AB:

There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.

If the scale factor was given as k, then XZ would be:

59/150

How?

w= 59/150

59/150 and -2/3 have to have the same denominators.

So, what I did was, -2/3×50= -100/150.

(Process of a new equation)

59/150-(-100/150)

[The two - signs cross each other out, making it a + ]

59/150+100/150 <- New Equation

__________________________________

59/150+100/150= 159/150

159/150= 1 9/150

9÷150=0.06

1+0.06= 1.06

(PROOF ABOVE)

Answer

add 1.06 = 1 3/50  = 1 3/50 + (-2/3) =  59/150

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

I'm assuming the points are (-5,-5) and (-5,5)

The formula to do slope is: (y2-y1)/x2-x1)

2 points: (x1, y1) (x2, y2)

So then:

(5-(-5))/(-5-(-5))=10/0

This shows that the line is vertical, which means that slope is undefined.

Answer:5/65/6

The slope of the line passing through the point (5,5) is 5/6.

Step-by-step explanation:

Answer:

what is the vertex of the porabola by nagla 3by 7

Answer:

3

Step-by-step explanation:

3√-1 = √9*-1= √-9 = 3 bcuase its always positive

Answer: (2, -15)

Step-by-step explanation:

Answer:

Hi there!

I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.

First of all, we need to multiple the separated function.

[tex] \sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}[/tex]

So the right answer is A

━━━━━━━━━━━━━━━━━

the graph has four zeros at :

After that we make them equal with 0, here is the thing:

x = -a is equal with x + a = 0

So we can conclude that :

Then we substitute them to a function :

x(x + 4)(3x + 2)(x - 9) = 0

3x⁴ - 13x³ - 118x² - 72x = 0

Then we looking on the option which one is equal with the answer above.

The right answer is B

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Hope It Helps!

Answer:

The y-intercept must be zero.

It is possible that the line is horizontal.

Step-by-step explanation:

The description states that the line "crosses both axes at the origin."  That would mean that the point (0,0) is on the graph.  The y-intercept is the value of y when x=0.  We see that it is zero in this case (0,0).  

The description says nothing about the slope.  So it could be either positive or negative.  But it could also mean that the slope is zero.  A zero slope would be a horizontal line.  So that is a second statement that is true:  "It is possible that the line on the graph is horizontal."

Answer:

its b and c

Step-by-step explanation:

Answer:

Ignorance and Want

Step-by-step explanation:

Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps

Answer:

The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.

Answer:

∠ B = 85°

Step-by-step explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°

Answer:

Third angle is [tex]130-7x[/tex]

Step-by-step explanation:

We have sum of angles is [tex]180^{0}[/tex]

Let the third angle be [tex]y[/tex]

Hence

[tex]5x+20+2x+30+y=180\\\\y=130-7x[/tex]

Third angle is [tex]130-7x[/tex]

Answer:

[tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{6}{8} *\frac{5}{1}[/tex]

[tex]\frac{30}{8}[/tex] multiply across

[tex]\frac{15}{4}[/tex] simplify and convert into mixed number

[tex]3\frac{3}{4}[/tex]

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

Answer: just add them all up add 50+20+36 then you get 106

Step-by-step explan

A) 0.86, 6.8, 8.6

B) 5.07, 7.005, 7.05

hope this is helpful!

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Learn more on the limits of a function here: https://brainly.com/question/23935467

Answer:

3 hours

Step-by-step explanation:

If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.

Subtract 7:34 from 11:48:  we get 3:14 hours.  Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.  

So the 'number of hours worked' is 3 hours.

Note that 3:14 would be 3 hours 14 minutes.

Answer:

C) Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Answer: Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Took the test!

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

[tex]r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]

Which means that option E is correct.

The volume of a cube of side length l is given by:

[tex]V = l^3[/tex]

For Cube A, the volume is of 9 cubic inches, hence:

[tex]l_a^3 = 9[/tex]

[tex]l_a = \sqrt[3]{9}[/tex]

[tex]l_a = 9^{\frac{1}{3}}[/tex]

[tex]l_a = 3^{\frac{2}{3}}[/tex]

For Cube B, the volume is of 5 cubic inches, hence:

[tex]l_b^3 = 5[/tex]

[tex]l_b = \sqrt[3]{5}[/tex]

[tex]l_b = 5^{\frac{1}{3}}[/tex]

Then, the ratio is:

[tex]r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]

To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328

Answer:

• y = -6x-5

Step-by-step explanation:

The five-number summary of the data set given is:

The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.

The five-number summary include the following:

The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1

Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:

Minimum = 48

First Quartile (Q1) = (54 + 54)/2 = 54

Median = (68 + 70)/2 = 69

Third Quartile (Q3) = (75 + 77)/2 = 76

Maximum = 80

Learn more about the five-number summary on:

https://brainly.com/question/24809873

Answer:

3/4 of a bar.

Step-by-step explanation:

Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.

Answer:

(2,1)

Step-by-step explanation:

The answer is (2,1)