Use linear combination to solve for x and y.
2x+4y=-4
3x+5y=-3

Answer:

(a) [tex]T(x) = 101 + 0.029 x[/tex]

(b) [tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

(c) See explanation

Step-by-step explanation:

[tex]T(x) = 172 + \frac{29}{1000}x[/tex]

Given

[tex]Flat = 101[/tex]

[tex]Rate = 29\ per\ 1000[/tex]

Solving (a): The function for total amount

This is calculated as:

[tex]T(x) = Flat + Rate * x[/tex]

Where:

[tex]x \to[/tex] taxable value

So, we have:

[tex]T(x) = 101 + \frac{29}{1000} * x[/tex]

[tex]T(x) = 101 + 0.029 * x[/tex]

[tex]T(x) = 101 + 0.029 x[/tex]

Solving (b): The inverse function

[tex]T(x) = 101 + 0.029 x[/tex]

Rewrite as:

[tex]y = 101 + 0.029x[/tex]

Swap the variables

[tex]x = 101 + 0.029y[/tex]

Make y the subject

[tex]0.029y = x - 101[/tex]

Divide by 0.029

[tex]y = \frac{x - 101}{0.029}[/tex]

Multiply  by 1000/1000

[tex]y = \frac{1000(x - 101)}{29}[/tex]

Replace y with the inverse function

[tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

Solving (c): Interpret (b)

The inverse function, in this case; is the taxable value calculated from the amount of property tax

Answer:

C=125°

Step-by-step explanation:

Hi there!

To find angle C, we can use the cosine law:

[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]

Plug in the given information

[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]

[tex]cosC=\frac{-31}{54}[/tex]

[tex]C=cos^-^1(\frac{-31}{54})[/tex]

[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]

Therefore, angle C is approximately 125 degrees.

I hope this helps!

Answer:

4.2 cents

Step-by-step explanation:

Take the total cost and divide by the number of ounces

1.01 /24

0.04208

Round to the nearest tenth of a cent ( 3 decimal places)

0.042

4.2 cents

Answer:

y = -3x+4

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

y = -3x+4

Answer:

(B) The baby is male/female is determined by father’s chromosome.

Step-by-step explanation:

Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.

Answer:

hi i hope it helps you

Step-by-step explanation:

please mark brainlist and like

thanks

and have a nice day.

Answer:

Step-by-step explanation:

C = 16 * 3 = 48

Answer: 220 feet tall

Step-by-step explanation:

1. Draw!

2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)

Answer:

The building is 220 ft tall

Step-by-step explanation:

Answer:

It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck

Step-by-step explanation:

Answer:

so the answer is I don't know

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]

Answer:

[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]

Answer:

36

Step-by-step explanation:

Answer:

36 feet

Step-by-step explanation:

I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%

Answer:

38°

Step-by-step explanation:

90-58

I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI

Answer:

[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]

Step-by-step explanation:

From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.

*Vertical angles are two lines that intersect each other.*

So ∠BAC is equal to ∠IAK.

[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°

(Interior angles in a triangle always add up to 180°).

[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]

[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]

[tex]\tt \angle BCA=32^{\circ}[/tex]

∠BCA and ∠x are vertical angles, therefore they are congruent.

∠BCA and ∠x= 32°

Answer:  D) reflection across y = -x

Explanation:

When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).

When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]

So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).

Similarly, B(1,5) moves to B ' (-5, -1)

Finally, C(6,9) becomes C ' (-9, -6)

Answer:

A

Step-by-step explanation:

Answer:

The answer is <ead

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Answer:

[tex]\displaystyle x = \frac{ln2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle e^{3x} + 6 = 8[/tex]

Step 2: Solve for x

Answer:

x = 1/3 ln(2) or approximately 0.23104

Step-by-step explanation:

e^3x+6 =8

Subtract 6 from each side

e^3x+6-6 =8-6

e^3x =2

Take the natural log of each side

ln( e^3x) =ln(2)

3x = ln(2)

divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

x is approximately 0.23104

[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]

[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]

Espero que te sea de ayuda.

Answer:

Number of Volleyballs = 8 balls

Step-by-step explanation:

Given:

Total number of balls = 30 balls

Fraction of soccer ball = 2/5 balls

Fraction of basketball = 1/3 balls

Rest are Volleyballs

Find:

Number of Volleyballs

Computation:

Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs  

Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)

Number of Volleyballs = 30 - 12 - 10

Number of Volleyballs = 30 - 22

Number of Volleyballs = 8 balls

Answer:

(g ∘ f)(2) =5

Step-by-step explanation:

f(x) = 3x − 2

g(x) = x + 1

(g ∘ f)(2).

Find f(2) = 3(2) -2 = 6-2 = 4

Then find g(4) = 4+1 = 5

Answer:

0.18

Step-by-step explanation:

Answer:

(a), (c) and (d)

Step-by-step explanation:

Required

Which is linear

A linear function is represented as any of:

[tex]y = mx + b[/tex]

[tex]y - y_1= m(x - x_1)[/tex]

[tex](a)\ 8x - 3y = 2[/tex]

Rewrite as:

[tex]- 3y = -8x+2[/tex]

Divide by -3

[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear

[tex](b)\ y = |x - 4|-7[/tex]

This is an absolute function. It is not linear

[tex](c)\ y + 8=5(x - 4)[/tex]

By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear

[tex](d)\ y = -7[/tex]

by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]

Others are not linear

The value of y is 3.

Answer:

Solution given;

: y + 3 = –y + 9

add +y on both term

y+y+3=-y+y+9

subtract both side by 3

2y+3-3=9-3

2y=6

divide both side by 2

2y/2=6/2

y=3

Answer:

y = 3

Step-by-step explanation:

y + 3 = –y + 9

Add y to each side

y+y + 3 = –y +y+ 9

2y +3 = 9

Subtract 3 from each side

2y+3-3 = 9-3

2y = 6

Divide by 2

2y/2 = 6/2

y = 3

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)

Answer:

answer is A

hope it helps please mark as brainliest answer and give me thanks

Answer:

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

Step-by-step explanation:

Test if the proportion of odd numbers is significantly different from 50%.

At the null hypothesis, we test if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, we test if the proportion differs from 0.5, that is:

[tex]H_1: p \neq 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]

Two thousand numbers are selected randomly; 960 were even numbers.

This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]

[tex]z = -1.79[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.

Looking at the z-table, z = -1.79 has a p-value of 0.0367

2*0.0367 = 0.0734

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

Answer:

this question is missing needed information

[tex]\sf Your \: question \: is \: incomplete. \: [/tex]

______________________

[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹

[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]

[tex]\boxed{ \sf{Explanation}} [/tex]

[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]

Answer:

see explanation

Step-by-step explanation:

If b² - 4ac = 0

Then the roots are real and equal

Answer:

4

Step-by-step explanation:

A line with 0 slope is parallel to x axis and it must have the same y coordinates

Answer:

4

Step-by-step explanation:

( 3, b ) and ( - 2, 4 )

x1 y1 x2 y2

Here,

x1 = y1 = 0

x2 = - 2

y2 = 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 4 - b ) / ( - 2 - 3 )

0 = ( 4 - b ) / - 5

4 - b = - 5 x 0

4 - b = 0

4 = b

b = 4

Answer:

Average rate of change = $11250 per year.

Step-by-step explanation:

Let's take two points from given information (2006, 90000) and (2010, 135000).

Now, use slope formula to find slope.

Slope =[tex]\frac{y2-y1}{x2-x1}[/tex]

Use the two points to find average rate of change (slope)

Average rate of change =[tex]\frac{135000-90000}{2010-2006}[/tex]

                                        =[tex]\frac{45000}{4}[/tex]

                                       =11250

Average rate of change = $11250 per year.

Answer:

4.292

Step-by-step explanation:

(x+3)(x-1)=24

expand

x²+2x-3=24

x²+2x-27=0

Using the quadratic formula..

[tex]\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292[/tex]

there is another answer, but it doesn't make sense in the context of this question

the un-rounded answer is 4.29150262215