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3 years ago

F(x) = 4x - 1

Mathematics

2 answers:

Natasha2012 [34]3 years ago

6 0

Answer:

Step-by-step explanation:

Find (f + g)(x) then evaluate (f + g)(9)

(f + g)(x) = f(x) + g(x)

= 4x - 1 + x² - 2 = x² + 4x - 3

Now substitute x = 9 into the expression

(f + g)(9) = 9² + 4(9) - 3 = 81 + 36 - 3 = 114 → D

PilotLPTM [1.2K]3 years ago

4 0

Answer:

J.117

Step-by-step explanation:

f(x) =4x-1

if f(2)= 4(2)-1

f(2)= 8-1 = 7

f(2) = 7 equation 1

g(x) =x2-2

if g(4)= (4)2-2

g(4) = 8-2 = 6 equation 2

Now,

(f+g)(9) =?

subtitute equation 1 and 2

(7+6)(9)=?

(13)(9)=?

13×9= 117

Hence, the answer is 117

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Huilan is 6 years older than Thomas. The sum of their ages is 80 . What is Thomas's age?

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3 years ago

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3 years ago

Which equation could generate the curve in the graph below?

dimulka [17.4K]

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

$y = 3 {x}^{2} - 2x + 1$

$D = {( - 2)}^{2} - 4(3)(1)$

$D = - 8$

$D < 0$

Option 2,

$y = 3 {x}^{2} - 6x + 3$

$D = {( - 6)}^{2} - 4(3)(3)$

$D = 0$

Option 3,

$y = 3 {x}^{2} - 7x + 1$

$D = {( - 7)}^{2} - 4(3)(1)$

$D = 37$

$D > 0$

Option 4,

$y = 3 {x}^{2} - 4x - 2$

$D = {( - 4)}^{2} - 4(3)( - 2)$

$D = 40$

$D > 0$

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

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3 years ago

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 4 m

geniusboy [140]

We take the distance from points which indicates the location of the park and the mall.

For distance through north and east, we have positive values and negative for west and south.

Mall: (-3, -4)
Park: (3, 5)

The distance is calculate through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Substituting,
d = sqrt ((-4 - 5)² + (-3 - 3)²
d = sqrt 117 = 10.82
Thus, the distance between the mall and the park is approximately 10.82 miles.

5 0

3 years ago