f(x)= -2x^3 +14x -8
g(x)= 2x+6

The domain are the possible input while the range are the possible output

of a function.

Reasons:

The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1

Therefore, we have;

(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2

The x-intercept of the above function are, x = √2, and x = -√2

Which gives;

The domain = [-√2, √2]

The range = [0, 2]

(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3

At the x–intercepts, we have;

-3·x² + 3 = 0

x = ±1

The domain = [-1, 1]

The maximum value of y is given at x = 0, therefore;

= -3 × 0² + 3 = 3

The range = [0, 1]

(c) y = -f(x) = -(-x² + 1) = x² - 1

At the x–intercepts, x² - 1 = 0

x = ± 1

The domain = [-1, 1]

The minimum value of y is given at x = 0, which is y = -1

The range = [0, -1]

(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x

At the x–intercepts, we have;  -x² + 2·x = 0, which gives;

(-x + 2)·x = 0

Which gives, x = 0, or x = 2

The domain = [0, 2]

The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1

y = f(1) =  -1² + 2×1 = 1

Therefore;

The range = [0, 1]

(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2

At the x–intercepts, we have;  -x² - 4·x - 2 = 0, which gives;

x = -(2 + √2) or x = x = √2 - 2

The domain = [-(2 + √2), (√2 - 2)]

The maximum value of y is given when x = -4/(2)) = -2

Which gives;

-(-2)² - 4·(-2) - 2 = 2

The range = [0, 2]

Learn more here:

https://brainly.com/question/20391090

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: https://brainly.com/question/25285332

Answer:

1 dollar

$1.00

$1

Step-by-step explanation:

Answer:

p=0.4

Step-by-step explanation:

6(p+2.25)=15.9

6p+13.5=15.9

6p=2.4

p=0.4

Answer:

23.4

Step-by-step explanation:

23.4

Answer:

23.40

Step-by-step explanation:

0.31

Ok Hope it’s correct ;)

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

[tex]45-------13\\x -------- 9[/tex]

[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]

Hope this helps

Answer:

yo good luck I dont know the anwsee

Answer: It should be C

Step-by-step explanation: This is because since She has 29 seashells then got 10 more that would add it and since she gave some to her little sister we subtract there

Answer:

I think that it would be C 29+10-S

Step-by-step explanation:

I say this because she had 29 then got 10 which would be 29+10 and she gave S away that's 2o+10-S

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

ABC=50

DCE=65

DEF= I think 115

I hope that helps I would appreciate brainliest if possible :)

Answer:

1/16

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]

Answer:

  x = -2

Step-by-step explanation:

The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection  is 2 grid squares to the left of the y-axis, where x = -2.

  f(-2) = 1

  x = -2

Answer:

7q + 12

Step-by-step explanation:

simply arrange the given expressions into the traditional way of adding numbers like 1 + 1 but vertically like : 1

1 +

which is equivalent to

6q + 1 +

q + 11

______

7q + 12

why? because 6q plus q is equal to 7q and 1 + 11 is equal to 12

good day.

Answer:

[tex]4x \times {10}^{3} [/tex]

Step-by-step explanation:

[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]

[tex]0.4 \times {10}^{9 - 5} [/tex]

[tex]0.4 \times {10}^{4} [/tex]

[tex] = 4 \times {10}^{3} [/tex]

Answer:

[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]

Step-by-step explanation:

Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.

Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.

Hope it helps :) and let me know if you want me to elaborate.

Answer: 41,667

Step-by-step explanation:

1,000,000 divided by 24= 41,666.666

you should round this answer up if your question asks for that to 41,667

Given :-

To Find :-

Solution :-

Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,

[tex]\longrightarrow[/tex] y = mx + c

On putting the respective values ,

[tex]\longrightarrow[/tex] y = 7(x) + (-7)

[tex]\longrightarrow[/tex] y = 7x - 7

For the graph see attachment .

Answer:

you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.

Step-by-step explanation:

Plz mark brainliest

Answer:

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

Answer:

41º

Step-by-step explanation:

As this is an isosceles B and D are congruent.

The sum of the angles in a triangle is 180º

Therefor

2x = 180 - 98

2x = 82

x = 41º

Answers:

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

Explanation:

The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.

Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.

Answer:

3/11

Step-by-step explanation:

thank you for the poits

18 seconds

Step-by-step explanation:

The object will reach the ground when its height h(t) = 0. Therefore, we can write

[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]

Solving for t, we get

[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]

Answer:

Step-by-step explanation:

area of a full circle is A = πr²

so a quarter of a circle area is A = πr²/4

A = 3.142(7²)/4

A = 38.4895 cm²               picture answer

Using π =  3.14 results in

A = 3.14(7²)/4

A = 38.465 cm²                  written question answer

For comparison purposes,

Carrying the precision of π into many more significant digits results in

A = 38.484510006474...cm²

9514 1404 393

Answer:

  C) c || d by converse of corresponding angles

Step-by-step explanation:

Only corresponding angles where transversal b crosses lines c and d are shown. All answer choices involving a||b or interior angles can be eliminated from consideration.

The "corresponding angle" theorem tells you corresponding angles are congruent if the lines are parallel.

The converse of that theorem tells you the lines are parallel if the corresponding angles are congruent. Here, the angles are shown congruent, so the "converse" theorem applies.

Answer:

No

Step-by-step explanation:

7 - 2 = 5

13 - 7 = 6

20 - 13 = 7

Answer:

d. 2x^2

Step-by-step explanation

B is the correct answer ,,,

Answer: B

Step-by-step explanation: