Determine the area of the composite shape.

Answer:

I need the grahp :)

Step-by-step explanation:

I can at least tell you one thing that all exponential functions have in common, is that G. The domain is all real numbers. I hope this helps :)

All the correct statement are,

B) The y-intercept is 3.

C) The asymptote is y = -1.

G) The domain is all real numbers.

Option B, C and G.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of the exponential function f(x) are shown in figure.

Hence, We get;

The curve intersect the x axis at x = 1.

So, x-intercept is 1.

Hence, Statement A is false.

The curve intersect the y-axis at y= 3.

So, y intercept is 3.

Thus, Statement B is correct.

The curve tends toward infinity at y = -1.

So y = -1 asymptote of the function.

Thus, Statement C is correct.

The range of function is y > -1.

So range is not all real number.

Thus, statement D is incorrect.

The function is defined for x > -0.5. At x = 0.5 function tends toward infinity.

Thus, statement E is incorrect.

As we move from left to right on x-axis then function decreases.

So, The function shows decay.

Hence, The statement F is incorrect.

The value of function approaches -1 as value of x increase but does not cross -1 or touch the value y = -1.

So statement G is correct.

Thus, All the correct statement are,

B, C and G.

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Answer:

h(2) = -48

Step-by-step explanation:

Given that,

[tex]h(x)=-3(4)^x[/tex]

We need to find the value of h(2).

Put x = 2 in the given expression i.e.

[tex]h(2)=-3(4)^2\\\\=-3\times 16\\\\=-48[/tex]

So, the value of h(2) is -48.

Answer:

(x, y ) --> (x - 1, y - 4)

Step-by-step explanation:

Since you subtract 1 from the x coordinate and subtract 4 from the y coordinate, the rule would be:

(x, y ) --> (x - 1, y - 4)

Answer:

4 1/2

Step-by-step explanation:

3(1/3) divided by 2(3)2nd power

Answer:

a) The relative risk is 1.8[tex]\overline{846153}[/tex]

b) The attributable risk is [tex]0.69 \overline{047619}[/tex]

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337  rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8[tex]\overline{846153}[/tex]

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = [tex]0.69 \overline{047619}[/tex]

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

Answer:

(12[tex]\sqrt{2}\\[/tex], 45°), (-12√2, 225°)

Step-by-step explanation:

....mhm

In full honesty though, this is the right answer

Answer:

The answer is B) 90 cm^2

Step-by-step explanation:

The area of the rectangle and the triangle are

[tex]rect = 10 \times 8 =80 \\ tria = 0.5 \times 4 \times 5 = 10 \\ the \: total \: area \: is \: 80 + 10 = 90[/tex]

I hope that is useful for you

Answer:

6/10 or 3/5

Step-by-step explanation:

Answer:

CosF=A/H

CosF=24/25

CosF=0.96

F=Cos^-1(0.96)

F=16°

Answer:

The amount is $8358.7 and the interest is $3858.7.

Step-by-step explanation:

Answer:

k = 12

Step-by-step explanation:

Answer:

12

Explaination:

12 times 5 is 60

Answer:

C. two

Step-by-step explanation:

2 points of intersection

Option C is correct, there are two solutions to the nonlinear system of equations graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear.

In this case, we have a parabola (the red figure) and a line (the blue figure).

There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

No solution. The line will never intersect the parabola.

One solution. The line is tangent to the parabola and intersects the parabola at exactly one point.

Two solutions. The line crosses on the inside of the parabola and intersects the parabola at two points.

Hence, there are two solutions to the nonlinear system of equations graph.

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Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET  mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine  will be  (x -4 +3) = x-1 years old

Also, In 3 years time

Christine  = 2/3 Mark

such that

  x-1 = 2/3(x+3)

  x -1= 2x+6 / 3

    3x  -3= 2x+6

      3X--2X = 6+3

         =X=9

Mark Is 9 years old

Christine is   x -4 = 9-4=5 years old

Answer:

13.5

hope it helpeddddd

:P

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation: Just divide

Answer:

The probability that she chooses a nuumber less than 4 is 30%

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,9)[/tex]

[tex](x_2,y_2) = (-1,3)[/tex]

Required

The slope (m)

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3 - 9}{-1 - 2}[/tex]

[tex]m = \frac{- 6}{-3}[/tex]

[tex]m =2[/tex]

Answer:

slope = 5/8

Step-by-step explanation:

use the slope formula to find the slope: [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

[tex]\frac{9-4}{10-2} = \frac{5}{8}[/tex]

Answer:

y = 5/4x + 3

Step-by-step explanation:

Answer:

Answer: 38

Step-by-step explanation: 6 / 2 = 3

3 + 3 = 6

42 - 6 = 38

Answer: B:550.                  You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550

Answer:

I think the answer is  13 im not positive but i think it's 13

Step-by-step explanation:

i hope this helps you :)

Answer

12/5

for delta ofc

Answer:

D, and C sorry if I'm wrong

Answer:

0.43                  

Step-by-step explanation:

Answer:

$35.09

Step-by-step explanation:

37.93- 2.84= 35.09

Answer: 35.09$

Step-by-step explanation:

subtract the taxes from the total i think

Answer:

Sorry I could only find the answer to the second part.

y=56x

Answer:

I think it is 20 < x > 9. But I am not completely sure.

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.