HELP!
An invertible function is represented by the values in the table.

x −3 −2 −1 0 1 2 3
f(x) 4.4 0.6 −0.8 −1 −1.2 −2.6 −6.4
Which graph shows the inverse of this function?

Answer: 1.095

Step-by-step explanation:

The function is increasing, so the rate of change must be greater than 1.

Answer:

0.5 t

Step-by-step explanation:

Since we know that 2,000lbs=1 t
1,000lbs is half a ton, which makes it 0.5 tons

Answer: 22

Step-by-step explanation:

Using the triangle midsegment theorem,

[tex]2(5x+2)=3x+32\\\\10x+4=3x+32\\\\7x+4=32\\\\7x=28\\\\x=4[/tex]

So, the length of the midsegment is 5(4) + 2 = 22

The set of all input values of a function is the domain of the function

A function relates an input to an output.

A function defines a relationship between one variable (the independent variable) and another variable.

The set of all input values of a function is the domain of the function.

The domain of a function are also called independent variables.

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The rule that describes the second transformation is; Rotated at 90° clockwise

From the given diagram we can see that;

The transformation from Rectangle ABCD to A'B'C'D' follows the transformation sequence of;

Shift 1 unit downwards then translate 5 units to the right.

However, for the transformation of A'B'C'D' to A"B"C"D", we see that the transformation is; Rotated at 90° clockwise

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Answer:

43

Step-by-step explanation:

52-9=43

[tex]x {}^{2} - 8x - 9 = 0 \\ x + y = 8 \\ xy = - 9[/tex]

[tex]g(x) = x {}^{2} - 7x + 12 \\ g(6) = 36 - 42 + 12 = 6 \\ g( - 7) = 49 + 49 + 12 = 110 \\ g( - 3) = 9 + 21 + 12 = 42 \\ g(4) = 16 - 28 + 12 = 0[/tex]

b

Answer:

Question 1:The correct answer is C. -1 and 9

Question 2: The correct answer is D.4

Question 3: The correct answer is C. The x-intercept of (5,0) and y-intercept of (0,10)

Question 4: The correct answer is B. True

Question 5: The correct answer is b.

0.017559

It is given that:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = [tex]\sqrt{} \frac{0.76(1-0.76)}{225}[/tex]

= 0.02847

Z = [tex]\frac{0.82-0.76}{0.02847}[/tex]

Z = 2.107

therefore, P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table we get P(sample porportions < 0.82) =  0.017559

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Using it's concept, it is found that the approximate perimeter of the front of the garage is:

A. about 36 ft.

The perimeter of a figure is given by the total length of it's boundary.

In this problem, we have that:

[tex]t = \sqrt{3^2 + 5^2} = 5.83[/tex]

Hence the perimeter of the figure is:

P = 10 + 2 x 7 + 2 x 5.83 = 35.66.

Rounding, it is of about 36 ft, hence option A is correct.

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Answer:

Therefore , 25 ans.

In order to move a the constant terms to the right hand side, we need to subtract 0.4 from both sides of the equation.

In an equation, the constant terms are those terms that do not have any alphabet attached to them. In this case, 4 and 0.4 are constant terms.

In order to move a the constant terms to the right hand side, we need to subtract 0.4 from both sides of the equation thus;

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 3.6

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Answer:

B. more dense

⊱________________________________________________________⊰

Answer:

Step-by-step explanation:

[tex]\large\begin{gathered} \sf{36=19+17. 19 \ and \ 17 \ are}\\ \sf{\ both \ primes, \ because \ they're \ only \ divisible \ by \ 1 \ and \ themselves} \\ \sf{ 80=73+7. \ Again, \ 73 \ and \ 7 \ \underline{ARE} \ prime. \end{gathered}}[/tex].

Done!!

⊰________________________________________________________⊱

Answer: [tex]x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}[/tex]

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

[tex]\left(x+\frac{b}{2a} \right)^2[/tex]

So, taking the square root of both sides,

[tex]x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}[/tex]

Answer:

b

Step-by-step explanation:

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

In this question we must analyze if the area of the triangle OPQ can be found by all information given. By the law of the cosines we understand that lengths of two sides and the measure of an angle should be known to construct a triangle and by the law of the sines we understand that either two angles and a side or two sides and an angle must be known.

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

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Answer:

Z = 90 degrees

Step-by-step explanation:

Reason is a diameter subtends angle of 90 degrees on the circumference

Non-linear graph best describes this function.

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

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Answer:

B

Step-by-step explanation:

Answer: 25% off

Step-by-step explanation:

1= 0.25 + 0.75

25% is off is the equivalency of multiplying the value of the original cost with 0.75.

20*0.75=15

Answer: 3491.91 radians

Step-by-step explanation:

The total distance in inches traveled by car = 63,360 inches (1 mile)

Total Revolution made by tire through traveling =

[tex]=\frac{63360}{\pi *36.30}[/tex]

We know 1 revolution angle made by tire = 2π radian (360 degrees/1 revolution of unit circle)

In   [tex]\frac{63360}{\pi *36.30}[/tex] ,

the revolution angle made by the tire =

[tex]=2\pi * \frac{63360}{\pi 36.60}[/tex]

[tex]=2 * \frac{63360}{ 36.60}[/tex]

[tex]= 3491.91[/tex] radian

[tex]take \: some \: values \\ h(1) = 5.5 \times |1| = 5.5 \times 1 = 5.5 \\h(2) = 5.5 \times |2| = 5.5 \times 2 = 11 \\ h(4) = 5.5 \times |4| = 5.5 \times 4= 22[/tex]

Answer:

Domain: All Real Numbers Range: All Real Numbers

Step-by-step explanation:

The domain and range is going to be infinite. The linear function will be using the x and y- axis in order to continue being a function. The y-intercept will be -2 on the y-axis. I recommend using the rise-over-run method for your slope value. from the point (0, -2) on the y-axis. Go up two on the y-axis, and right 7 on the x-axis.

Sorry, it may be difficult to explain through words.

The length of the hypotenuse of right triangle ΔDEF is 50.44 units

The hypotenuse side can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

Therefore,

x² = 39² + 32²

x² = 1521 + 1024

x = √2545

x = 50.4479930225

x = 50.44

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Answer:

D = 12

Step-by-step explanation:

Side ST is corresponding to side QT. 9" / 3" = 3

3 is the proportion between the two triangles.

Side PT is the corresponding side to side RT.

PT = 4" x 3 = 12"

The central angle is 77 degrees mate.

Step-by-step explanation:

The polynomial highest degree is 2 so the degree is 2.

The binomial have three terms so it is a trinomial.

Hence, the required expression is (Negative 6) (4) + (negative 6) (two-thirds).

expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

LHS,

    (-6)([tex]\frac{14}{3}[/tex]) = -28

RHS,

   (-6)()[tex]4+\frac{2}{3}[/tex]) = -28

LHS=RHS

Hence, the required expression is (Negative 6) (4) + (negative 6) (two-thirds).

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