All categories

2 years ago

Find f(-5) if f( x ) = | x + 1|.

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

f(x)=x+1

then,

f(-5)=(-5)+1

=-4

You might be interested in

Give an approximation of underroot(3) correct to hundredths. (Round to two decimal places as needed.)

Igoryamba

Answer: 1.75

Step-by-step explanation:

To find the value of $\sqrt{3}$

$\text{Let , }y=\sqrt{x}$

$\text{And Let x = 4 and }\Delta x=-1$

Now,

$\Delta y=\sqrt{x+\Delta x}-\sqrt{x}\\\\=\sqrt{3}-\sqrt{4}=\sqrt{3}-2\\\\\Rightarrow\ \sqrt{3}=\Delta y+2$

Since dy is approximately equals to $\Delta y$ then ,

$dy=\dfrac{dy}{dx}\Delta x\\\\=\dfrac{1}{2\sqrt{x}}\times(-1)=\dfrac{1}{2\sqrt{4}}\times(-1)=-0.25$

Thus , the approximate value of $\sqrt{3}=-0.25+2=1.75$

8 0

4 years ago

Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.

Mrac [35]

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

$2^{8p}=2^{5p+15}$

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

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

$16^{2p}=32^{p+3}$

Write both the equation in the form of same base number as,

$(2^4)^{2p}=(2^5)^{p+3}$

The power of the power of a number can be written as product of both the numbers. Thus,

$(2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}$

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

$8p=5p+15$

Solve it further to find the value of p as,

$8p-5p=15\\3p=15\\p=5$

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

$2^{8p}=2^{5p+15}$

Learn more about the equivalent expression here;

brainly.com/question/2972832

7 0

3 years ago

The distance traveled by a toy car can be modeled by D(t) = t3 − 3t2 + t − 3, where t > 3 represents time in seconds. If the

Bogdan [553]

Answer:

$t^2+1$

Step-by-step explanation:

We are given that

Distance traveled by a toy car

$D(t)=t^3-3t^2+t-3$

Where t>3

Time taken by car =t-3 seconds

We have to find the expression which represents the speed of the toy car.

We know that

$Speed=\frac{Distance}{time}$

Using the formula

$Speed=\frac{(t^3-3t^2+t-3)}{t-3}$

$Speed=\frac{t^2(t-3)+(t-3)}{t-3}$

$Speed=\frac{(t-3)(t^2+1)}{t-3}$

$Speed=t^2+1$

Hence, the expression which represents the speed of the toy car

$t^2+1$

5 0

3 years ago

Each of 8 samples has a different standard deviation . How many of the 8 samples could be from the same population ?

Lynna [10]

The answer is c you are welcome

5 0

3 years ago

Read 2 more answers

Two cards are chosen at random without replacement what is the probability of getting two aces

VARVARA [1.3K]

4/52 chance of getting an ace.

4 0

4 years ago