Which expression is equivalent to (3a)–2?

Answer:

Step-by-step explanation:

y = x^2 + 4

x = 11  Put this value in wherever you see an x on the right.

y = 11^2 + 4

11^2 = 11 * 11 = 121

y = 121 + 4

y = 125

Answer:

statement 1 is the true answer

The correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."

"It is a set of all possible input values for which a function is well defined."

"It is a set of all possible output values."

"It is a point at which the graph of the function intersects the X-axis or Y-axis."

For given question,

A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]

The domain of function h(x) is all real values.

To find the y-intercept, substitute x = 0

[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]

So, the y-intercept of function h(x) is (0, 5)

To find the x-intercept, substitute y = 0 i.e., h(x) = 0

[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]

This means, the x-intercept of h(x) is (-62.5, 0)

From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞

Therefore, the correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

Learn more about the function here:

https://brainly.com/question/13461298

#SPJ2

Answer:

12

Step-by-step explanation:

123657890gjinvhjkfol

Answer:

$0.25

Step-by-step explanation:

Let's represent the comics by assigning it the letter C.

20C = $5.00

C = $5.00/20

= $0.25

We can confirm this by using the example where he uses 30 comics.

30C = $7.50

C = $7.50/30

= $0.25.

Therefore each comic costs $0.25

Answer:

DC is congruent to CZ

Step-by-step explanation:

We know two angles are congruent so we need to have the side that is included between those angles so we say that

DC is congruent to CZ

Polynomial degree : 2

Leading coefficient : 11

Answer:

The degree of the polynomial is 4.

The leading coefficient of the polynomial is 12.

Step-by-step explanation:

The degree of the polynomial is the highest power in the polynomial.

The highest power in the given polynomial is 4.

The leading coefficient of the polynomial is 12.

Answer:

right

Step-by-step explanation:

The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle

The  triangle is a right triangle

Answer:

Right

Step-by-step explanation:

Types of triangle classifications

Acute: a triangle with all angle measures less than 90 degrees

Obtuse: a triangle with an angle of more than 90 degrees

Right: a triangle with a right angle.

Equilateral: a triangle with all equal angles ( more specifically all 60 degree angles )

Now let's look back at the question

Classify the type of triangle

Well looking at the triangle the triangle has a right angle ( indicated by the little square at the bottom left of the triangle)

A triangle with a right angle is known as a right triangle

Answer:

B

Step-by-step explanation:

I have attached the explanation above. This is all I can do. Hopefully this will help

Answer:

Transitive property

Step-by-step explanation:

Given

See attachment

Required

The missing property?

In step 1, we have:

[tex]\angle A \cong \angle B,\ \angle C \cong \angle B[/tex]

Transitive property states that:

If [tex]a = b[/tex] and [tex]b = c[/tex]

Then [tex]a = c[/tex]

Similarly:

If [tex]\angle A \cong \angle B[/tex] and [tex]\angle C \cong \angle B[/tex]

Then  [tex]\angle A \cong \angle C[/tex] --- step 3

Hence, we can conclude that the transitive property is the missing justification

Answer:

-7

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

[tex]d = y_{n+1} - y_n[/tex]

So, we have:

[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]

[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]

[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]

[tex]d = y_5 - y_4 = 6-13 = -7[/tex]

Hence, the first differences are -7 (all through)

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

Answer:

10 ÷2 = 5

Step-by-step explanation:

10 is the final number

It is grouped in 2's

10 ÷2 = 5

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵

Answer:

045

Step-by-step explanation:

North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.

Thus, northeast is 45 degrees. This image may help.

3rd option is correct

13 × 2 + 13 × 9

Answer:

a is the answer parallelogram is a rotational symmetry

fifteen girls are there

Answer:

15 girls

Step-by-step explanation:

It helps when you stack the ratio and # of ppl, so:

4:3

20:x

How do you get from 4 to 20? You multiply 5.

Now do that to the other side, you get 15.

Hope this is helpful ^^

Answer:

Eric   80

Step-by-step explanation:

Take 4+3 = 7

140 /7 = 20

There is 20 in each block

Eric gets 4 of the blocks so 4*20 = 80

Shiloh gets 3 of the blocks 3*20 = 60

Answer:

80

Step-by-step explanation:

4 : 3

4x + 3x = 140

7x = 140

x =20

4*20 = eric's amount

= 80

Answer:

x = 14

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

48 ^2 + x^2 = 50^2

2304+x^2=2500

x^2 = 2500-2304

x^2 =196

Taking the square root of each side

sqrt(x^2) = sqrt(196)

x = 14

Answer:

14

Step-by-step explanation:

Use A^2+B^2=C^2

A=48

C=50

So B=sqrt(C^2-A^2)

B=sqrt(50^2-48^2)

B=sqrt(2500-2304)

B=sqrt(196)

B=14

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

Answer:

The bases of an isosceles trapezoid are congruent is false.

Step-by-step explanation:

Let's analyse each option.

In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.

In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!

The rectangle is an Equi-angular because all the angles are equal. So, this is true.

The base angles are congruent in isosceles trapezoid. So, this is true too.

Answer:

$7200 at 10%

$4800 at 15%

Step-by-step explanation:

Answer:

B. 2, 4, 5, 7

Step-by-step explanation:

6x<48

Divide by 6 on both sides:

x < 8 (excluding 8)

You can test values greater than 8, and if it yields false, then try different numbers.

Hope this helps!

Answer:

$40

Step-by-step explanation:

Let

Original price = x

Selling price = $10

Discount = 75%

Selling price = original price - (Discount * original price)

10 = x - 75% of x

10 = x - 0.75 * x

10 = x - 0.75x

10 = 0.25x

x = 10/0.25

x = 40

Original price = x = $40

Answer:

answer is 20............

Step-by-step explanation:

3x=13-19

x= -6/3

x= -2

Answer:

= -2

Step-by-step explanation:

3x+19=13

3x=13-19

3x/3= 6/3

X= -2

Answer from Gauthmath

Answer:

Option A

Step-by-step explanation:

If the system of equations are,

y = m₁x + b

y = m₂x + b

Since, m₁ ≠ m₂ both the lines will be different (not parallel)

Therefore, the will be at least one solution of the given system of equations.

Option A will be the answer.

Answer:

Its a domain

Step-by-step explanation:

Domain:{2,3,4,6}

Answer:

It is the second option down

Step-by-step explanation: