If g(x) = 2x + 1 and f (x) = x2 + 4, find g[f(4)].
g[f(4)] =

Answer:

Calculating two points and drawing the line between the two.

Explanation:

To find the y-intercept, put x = 0

y = 2 (0) - 1

y = -1

To find the x-intercept, put y = 0

2x - 1 = 0

2x = 1

x = 1/2

Draw your system of axis. Mark -1 on the y-axis, and 1/2 on the x-axis.

Now draw a line through these two ponts. Add arrows.

==============================================

To draw the graph by using points,

let x = -1, then y = 2 (-1) - 1 = -2 - 1 = -3

first point is (-1; -3)

Let x = 0, y = 2 (0) - 1 = -1

Second point is (0; -1)

Let x = 1, y = 2(1) - 1 = 1

Third point is (1; 1)

Plot the three points and draw a line through them. Add arrows to your line.

Answer:

51

Step-by-step explanation:

Answer:

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

[tex]f(x) = 8(4)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]

Required

Remove the h component

In a function, the h component is highlighted as:

[tex]f(x) = a^{x+h}[/tex]

So, we have:

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

Split the exponents using the following law of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

[tex]f(x) = 2*\frac{3^x}{3^2} + 2[/tex]

[tex]f(x) = 2*\frac{3^x}{9} + 2[/tex]

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

The h component has been removed

[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]

Split the exponent using the following law of indices

[tex]a^{m+n} =a^m * a^n[/tex]

So, we have:

[tex]f(x) = \frac{1}{2}(4)^x * 4^2[/tex]

Express 4^2 as 16

[tex]f(x) = \frac{1}{2}(4)^x * 16[/tex]

Divide 16 by 2

[tex]f(x) = 8(4)^x[/tex]

Answer: 3/16

Step-by-step explanation: after giving it to Alex and Marisa there is only 3/8 left. Half of 3/8 is 1.5/8 or 3/16

Answer:

x = 3, y = 5

Step-by-step explanation:

Since the ordered pairs are equal, then equate the x and y coordinates

x + 2 = 5 ( subtract 2 from both sides )

x = 3

y - 1 = 4 ( add 1 to both sides )

y = 5

Step-by-step explanation:

Nm :/

Bored too

what r u doing?

Answer:

hi

Step-by-step explanation:

pppppppppppppp

Answer:

23/5

Step-by-step explanation:

multiply denominator by whole number. add the numberator. sum will now be your new numberator (denominator always stays the same).

hope this helps! (❁´◡`❁)

Answer:

[tex](180 - 15) = 165[/tex]

Answer:

a. I think is twenty

d. ??????????

Answer:

X=-Y

Step-by-step explanation:

...........................

Answer:the answer is o.7.7

Step-by-step explanation:

Answer:

k = 42

Step-by-step explanation:

This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:

(k+1) + 47 = 90

k + 1 = 43

k = 42.

Answer:

The answer is 4.6%

Step-by-step explanation:

$2.30 divided by $50 multiplied by 100.

Answer:

x = 6

Step-by-step explanation:

Using the Secant and Chord intersection theorem we can say that:

(GE) (FE) = (CE) (DE)

(11 + 7) (7) = (2x - 7 + 9) (9)

(18) (7) = (2x + 2) (9)

126 = 18x + 18

108 = 18x

6 = x

Hope this helps!

Answer:

62

Step-by-step explanation:

x+37+81=180, x=62

Answer: 58

Step-by-step explanation:

Answer: the answer is 58

you could've used calculator lol.

hope it's right.

Step-by-step explanation:

Answer:

x = 65

x+x+10+40=180

2x+50=180

2x=130

x=65

Step-by-step explanation:

success

a pottery shop uses 493 pounds of clay each week. about

how many pounds of clay will the shop use in 36 weeks?

493*36= 17,748 pounds of clay

Answer:

87 feet^2

Step-by-step explanation:

area of the parking space not covered by the car = area of parking space - area covered by the car

area of parking space = area of a parallelogram = base x height = 19 x 9 = 171 feet²

Area of car = area of a rectangle = length x width 14 x 6 = 84 feet²

area of the parking space not covered by the car = 171 feet² - 84 feet² = 87 feet^2

Answer:

17² = 15² + 8²

2² = (√2)² + (√2)²

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides. Hence:

33² ≠ (√8)² + 5² (not right triangle)

17² = 15² + 8² (right triangle)

2² = (√2)² + (√2)² (right triangle)

Answer:

I don't see how to answer this. What graph?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

Answer:

32units

Step-by-step explanation:

by the what I'm seeing the bottom side is 16 and the 2 other sides are 8 respectively. so all you have to do is just add 16,8 and 8 again which will give you 32.

Answer:

32

Step-by-step explanation:

a + b + c = d

a=8 b=16 c=8

8+16+8=32

Answer: 4+4+1

Step-by-step explanation: 4+4+1=4+5

Hope this helps!

Answer:

Circumference: 25.12

Area: 50.24

Step-by-step explanation:

Circumference: 3.14*8

Area: 1/4*3.14*8*8

Answer:

8 feet

Step-by-step explanation:

w = width

2s = length

Find 'w' by multiplying the new dimensions:

(w+5)(2w+3) = 2w² + 3w + 10w + 15 = 99

simplify:

2w² + 13w - 84 = 0

Factor:

(2w + 21)(w - 4) = 0

w = -21/2   ** disregard because a measurement cannot be negative **

w = 4

original width was 4

orginal length was twice 4 or 8 feet