Which values for A and B will create infiniely many solutions for this system of equations

[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:

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

Step-by-step explanation:

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:

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:

• 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:

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Answer:

is this a questions or no?

Step-by-step explanation:

Answer:

A=6

Step-by-step explanation:

M=3A

M+6=2(A+6)     M+6=2A+12      M=2A+6

System of equations:

M=3A            Subtract

M=2A+6

0=A-6

A=6

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:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

The required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

Given expression,

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We have to find the Equivalent fraction of  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We know that from the properties of logarithm, the following identities

[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)

[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)

Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)

Again using 2 identity, we get

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]

Hence the required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

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Answer:

C on edge

Step-by-step explanation:

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:

1800 stanley steamer

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:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

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:

[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:

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.

AnswerBABY BAYBY OOOOH

Step-by-step explanation:

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)

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: (2, -15)

Step-by-step explanation:

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:

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

Step-by-step explan

Answer: 8v+24

Step-by-step explanation:

[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]

Answer:

Step-by-step explanation:

First we need to find 20% of their bill-$40.

So we write a proportion with fractions.

20/100 = x/40

Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:

800 = 100x

Divide both sides by 100 to solve this.

Then we will get:

$8 = x  or  x = $8

Now that we know 20% of the bill this will also represent the tip. Our tip is $8.

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: