Multiply: (2x − 3)(x^2 + 4x − 3)

What does 12−3/4(d+16)=−5 equal solve for d

Ratling [72]

Answer:

d=20/3 or 6.6 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

12−

3

4

(d+16)=−5

Step 1: Simplify both sides of the equation.

12−

3

4

(d+16)=−5

12+

−3

4

d+−12=−5(Distribute)

(

−3

4

d)+(12+−12)=−5(Combine Like Terms)

−3

4

d=−5

−3

4

d=−5Step 2: Multiply both sides by 4/(-3).

(

4

−3

)*(

−3

4

d)=(

4

−3

)*(−5)

d=

20

3

Answer:

d=

20

3

3 0

3 years ago

Alex is buying a sweater that originally costs $35 and a pair of jeans that originally cost $28. If the sweater is marked down 3

kifflom [539]

Answer:

$63 when you add them both together. I don't know how to do the other part, but I know you should find the percenatge. The first is to multiply 63 * 100/1

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p

shusha [124]

The probability that both items will be Harry Potter themed is 1/8.

<u>Step-by-step explanation:</u>

Total Number of pajama pants n(P) =8

Total number of slippers n(S)= 3

Number of Harry Potter themed Pajama pants n(H.P)=3

Number of Harry Potter themed slippers n(H.S)=1

We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.

If two events A and B are independent, then the probability of A and B is given by

P(A and B)=P(A)*P(B)

Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.

$P(Harry\ Potter\ pants)=\frac{n(H.P)}{n(P)}$

$=\frac{3}{8}$

$P(Harry\ Potter\ slippers)=\frac{n(H.S)}{n(S)} \\ =1/3$

$P(Harry\ Potter\ pants\ and\ Harry\ Potter\ slippers)=P(Harry Potter pants)\times P(Harry potter slippers)$

$=\frac{3}{8}\times \frac{1}{3} =\frac{1}{8}$

Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8

3 0

3 years ago

Read 2 more answers

Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.

jeyben [28]

Considering the given function and the asymptote concept, we have that:

The vertical asymptote is of x = 25.

The horizontal asymptote is of y = 5.

The end behavior is that as $x \rightarrow \infty, f(x) \rightarrow 5$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

$f(x) = \frac{5x}{x - 25}$ .

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5$ .

Hence the end behavior is that as $x \rightarrow \infty, f(x) \rightarrow 5$ .

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

3 0

2 years ago

The length of a rectangle is 5 times larger than x. The width is 4 cm less than the length. The perimeter is at least 96 cm. Wha

Ede4ka [16]

We know that the perimeter of a rectangle = 2(l + w)

l = length

w = width

In our problem,

l = 5x

w = 5x - 4

Let's create an inequality to help us solve this problem.

2(5x + (5x - 4)) ≥ 96

Let's start off by simplifying the terms inside the parentheses.

2(10x - 4) ≥ 96

Distribute the 2

20x - 8 ≥ 96

Add 8 to both sides.

20x ≥ 104

Divide both sides by 20

x ≥ 5.2

Let's plug 5.2 into x for our length and width.

Length = 5x = 5(5.2) = 26 cm

Width = 5x - 4 = 5(5.2) - 4 = 26 - 4 = 22 cm

The smallest possible dimensions for the rectangle are, length = 26 cm and width = 22 cm

6 0

3 years ago

Read 2 more answers