All categories

2 years ago

Find f(–2) for the function f(x) = 3x2 – 2x + 7.

Mathematics

2 answers:

Natasha_Volkova [10]2 years ago

8 0

The correct answer is: 23

Explanation:

Given function:

$f(x) = 3x^2 - 2x + 7$ ---- (A)

f(-2) means that we have to put x = -2 in equation (A):

$f(-2) = 3(-2)^2 - 2(-2) + 7 \\ f(-2) = 3*4 + 4 + 7 \\ f(-2) = 12+4+7 \\ f(-2) = 23 \\$

Hence the correct answer is: f(-2) = 23.

Setler [38]2 years ago

4 0

The correct answer is 23

You might be interested in

Describe the transformation(s) of the parent function

natta225 [31]

Answer:

Vertical stretching by a factor of 12, followed by upward translation of 2 units.

Step-by-step explanation:

Let's assume you're starting with f(x), the parent function.

Multiplying f(x) by 12 will stretch the graph vertically by a factor of 12. A point (1,1) on the graph of f(x) will re-appear as (1,12) after this vertical stretching. Once you've done that, translate the entire graph upward by 2 units.

7 0

2 years ago

An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

3 years ago

The lunch special at Jimmy John’s costs $5.60. The math club has $50.40 in its treasury. How many lunch specials can the club bu

dolphi86 [110]

Answer:

x=9

Step-by-step explanation:

Equation: 5.60x=50.40

Solve: 5.60x=50.40

Divide both sides by 5.60 ( 5.60x/5.60 ) and ( 50.40/5.60 )

x=9

5 0

2 years ago

If DF = 9x - 39, find Ef

Leviafan [203]

|DF| = |DE| + |EF| |DF| = 9x -36 |DE| = 47 |EF| = 3x+10 Substitute: 9x - 39 = 47 + 3x + 10 9x - 39 = 3x + 57 |+39 9x = 3x + 96 |-3x 6x = 96 |:6 x = 16 Put the value of x to the equation |EF| = 3x + 10 |EF| = (3)(16) + 10 = 48 + 10 = 58 Answer: |EF| = 58

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4046336-if-df-9x-39-find-ef.html

4 0

2 years ago

Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an

Mashutka [201]

Answer:

$\sqrt\frac{387}{20}$