What is the rounding number for 5503

If DGH ~ DEF, Find the value of X

DIA [1.3K]

Answer:

$x=25$

Step-by-step explanation:

we know that

DGH ~ DEF ---> given problem

Remember that

If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent

so

$\frac{DG}{DE}=\frac{GH}{EF}$

substitute the given values

$\frac{52}{91}=\frac{x+3}{2x-1}$

$(2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25$

4 0

3 years ago

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

so

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

7 0

3 years ago

Choose the equations that are equvialent. Select all that apply.

Fed [463]

Answer:a,b,c

Step-by-step explanation:

The are all equivalent

6 0

3 years ago

Consider f(x) = bx. which statement(s) are true for 0 < b < 1? check all that apply. the domain is all real numbers. the d

NeTakaya

The true statement for f(x)=b^x is the function is always decreasing function.

We have given,

f(x)=b^x where 0<b<1

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

Domain is all possible values of x for which any function is defined

We can select any values of x for which function

It will be defined for all real x

So, the domain is $(-\infty,\infty)$

The range is all possible values of y for which x is defined

we are given that b is positive

The value of the function will always be positive

So, the range is $(0,\infty)$

y>0

The x-intercept:

Set f(x)=0 and then we can solve for x

f(x)=b^x=0

x is undefined

The x-intercept does not exist

Increasing or decreasing:

Since, 0<b<1

The b is a positive value less than 1

As we increase the value of, $b^x$ will keep decreasing

This is decreasing function

To learn more about the function visit:

brainly.com/question/25638609

3 0

1 year ago

A board game contains a cube withone of the letters A, G, E, I, K, and W on each of its faces. With each roll, what is the proba

LenKa [72]

The probability that a vowel will land face up on the cube would be 1/2. This is because there are six total letters; three vowels and three consonants, so there is a 3/6 chance of it being a vowel and you simplify it down to 1/2. I hope this helped :)

3 0

2 years ago