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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

2 answers:

Nady [450]3 years ago

5 0

Answer:

A) 2x³+11x²+8x-16

Step-by-step explanation:

When you multiply s(x) by t(x) you get something like this:

$s(x) \times t(x) = (2 {x}^{2} + 3x - 4) \times (x + 4) \\ = 2 {x}^{3} + 3 {x}^{2} - 4x + 8 {x}^{2} + 12x - 16 \\ = 2 {x}^{3} + 11 {x}^{2} + 8x - 16$

mars1129 [50]3 years ago

4 0

Answer: A) 2x³ + 11x² + 8x - 16

Step-by-step explanation:

s(x) · t(x) = (x + 4)(2x² + 3x - 4)

= x(2x² + 3x - 4) + 4(2x² + 3x - 4)

= 2x³ + 3x² - 4x + 8x² + 12x - 16

= 2x³ + (3x² + 8x²) + (- 4x + 12x) - 16

= 2x³ + 11x² + 8x - 16

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A length is measured at 21 cm correct to two significant figures, what is the lower bound of the length and upper bound?

Andreyy89

Answer:

20.5 and 21.5

Step-by-step explanation:

It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.

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2 years ago

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Wittaler [7]

Answer:

y = -2/3x + 8/3a

Step-by-step explanation:

Given points

(a, 2a) and (-5a, 6a)

Slope-intercept form

y = mx + b

Slope of the line is

m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

The y-intercept is:

2a = -2/3*a + b
b = 2a + 2/3a
b= 8/3a

So the line is:

y = -2/3x + 8/3a

7 0

3 years ago

Read 2 more answers

A solution to a linear system" means which of the following? The y-intercepts are the same A) The rates of change for both funct

Karo-lina-s [1.5K]

the x and y values makes both equations true

Explanation

a linear system is the set of 2 linear equations.

Step 1

the solution to a linear system is the coordiante where the line intersect, this coordiante satisfies both equations, then

the x and y values makes both equations true

8 0

1 year ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

I need answer for a and b show your work

Stels [109]

I have two methods for you

7 0

3 years ago