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Helga [31]
3 years ago
14

Given f(x) = 2x² + 8x - 4 and g(x) = 5x +6, find 3f(x) – 2g(x).

Mathematics
1 answer:
myrzilka [38]3 years ago
7 0

Step-by-step explanation:

When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).

3(2x^2+8x-4)= 6x^2+24x-12

2(5x+6) = 10x+12

Now, we subtract f(x) from g(x) after being multiplied.

(6x^2+24x-12)-(10x+12)

6x^2+14x-24

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If f(x) = 5x + 4, which of the following is the inverse of (fx)?​
lys-0071 [83]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

\frac{y-4}{5} = x

Change y back into terms of x

f^{-1} (x) = \frac{x-4}{5}

3 0
3 years ago
LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?
Mazyrski [523]

Answer:

LN = 55

Step-by-step explanation:

Given

LN = 12w + 7

LP = 15w - 5

Required

Determine LN

Since LM is a bisector, then we have:

LP = LN (See attachment for illustration)

15w - 5 = 12w + 7

Collect Like Terms

15w - 12w = 5 +7

3w = 12

Solve for w

w = 12/3

w = 4

LN is calculated as thus:

LN = 12w + 7

Substitute 4 for w

LN = 12 * 4 + 7

LN = 48 + 7

LN = 55

8 0
3 years ago
Picture provided help!
weqwewe [10]

Answer:

A -60i - 14j

Step-by-step explanation:

u = -9i + 8j

v = 7i + 5j

2u = 2(-9i + 8j) = -18i + 16j

6v = 6(7i + 5j) = 42i + 30j

2u - 6v

(-18i + 16j) - (42i + 30j)

(-18i - 42i) + (16j-30j)

-60i - 14j

5 0
3 years ago
Y
vlabodo [156]

The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2 and for line 2x + 3y = 6 will be,\rm y = \frac{-2}{3}x+2

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

\rm 3y= 6-2x \\\\ y=  \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

3 0
2 years ago
What is the annual premium for $75,000, 10 year life insurance policy for a 40 year old male (Put answer to two decimal places)?
Anvisha [2.4K]

Answer:

About $437.25

Step-by-step explanation:

Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23

The total annual premium = $75000

Using the data in the table :

Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83

The annual premium for $75,000 ;

Premium per $1000 × ($75000/$1000)

Annual premium = $5.83 × ($75,000/1000)

Annual premium = $5.83 × 75 = $437.25

Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25

5 0
2 years ago
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