The function h(x) is a transformation of the square root parent function,
f(x)=√x. What function is h(x)?
-5
5
-5-
h(x)
f(x)
K
I
5

The correct answer is option C which is the given expression is cubic.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given expression

5x³ + 2x − 3

The cubic expression is one in which the highest power of the variable is three or we can say that the degree of the expression is three so the expression will have three solutions.

Therefore the correct answer is option C which is the given expression is cubic.

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Answer:

the right answer is the first one

2x+2 over x >0

Answer: Since they have the some points in common we can just plot them and seeing ang. DBC would just be a straight line and angle ABC would be 90 degrees and half of that angle so they would be equal

Answer:

(10+4/2, 6+9/2)

(7, 7.5)

The Midpoint is (7, 7.5)

Step-by-step explanation:

I just added the x values and divided them by 2 and then the same for the y values.

Answer:

(7,7.5)

Step-by-step explanation:

midpoint formula:

(X1,X2) divided by two and (Y1,Y2) also divided by two.
so you get

10+4/2 and 6+9/2

Add it all up you get

14/2 and 15/2

divide it:

(7,7.5)

Answer:

If two things have the same shape and size then they are congruent to one another. If they are only the same shape but not size, then they are similar.

If two things have the same shape and size then they are congruent to one another.

If they are only the same shape but not size, then they are similar.

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Mrs. Phillips needs to buy 8 packs of floor boards

In contrast to a square, a rectangle is a planar figure having four equal neighboring sides, four straight sides, and four right angles. An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

As per the figure attached Mrs. Phillips floor plan can divided into two rectangles

The area of rectangle is as follow:

Area = length(l) x Width(w)

Area of part 1 will be:

A = 6 x 2 = 12 m²

Area of part 2 will be :

a = 3 x 2 = 6 m²

Total area of floor = A + a

Total area of floor = 12 + 6

Total area of floor = 18 m²

Given one pack of floor boards will cover 2.5 m².

So total pack of floor block needed will be as follow:

Total pack of floor block = Total area of floor/Area covered by one pack of floor boards

Total pack of floor block = 18/2.5

Total pack of floor block = 7.2 packs ≈ 8 packs

Hence Mrs. Phillips needs to buy 8 packs of floor boards

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The unit rate of change of y with respect to x is less in the graph

The attached graph represents the missing information in the question

The graph passes through the following points

(0,0) and (5,1)

The rate of change of the graph is then calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{1-0}{5-0}[/tex]

Evaluate

m = 0.2

The equation is given as:

y = 6.5x

The slope of the above equation is 6.5

By comparison, 6.5 is greater than 0.2

Hence, the unit rate of change of y with respect to x is less in the graph

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Answer:

The equation

Step-by-step explanation:

i did it on khan academy

A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten

As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f = \cfrac{9}{a}+7[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \:a = \cfrac{9}{f - 7} [/tex]

[tex]\qquad \tt \rightarrow \:a(f - 7) = 9[/tex]

[tex]\qquad \tt \rightarrow \:(f - 7) = \cfrac{9}{a}[/tex]

[tex]\qquad \tt \rightarrow \:f = \cfrac{9}{a} + 7[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The real number of the given expression is a=-2.

Given that the expression is [tex]\frac{1}{a^3+7}-7=\frac{-a^3}{a^3+7}[/tex]

Real numbers is known as the union of both rational and irrational numbers. Real numbers can be both positive or negative and are denoted by the symbol “R”.

To compute the value of a.

In the given expression multiply both sides with (a³+7) as

[tex]\frac{(a^3+7)}{a^3+7}-7=\frac{-a^3(a^3+7)}{a^3+7}[/tex]

Simplify the expression as,

1-7(a³+7)=-a³

Expand out terms of the left hand side

1-7a³-49=-a³

-7a³-48=-a³

Taking out minus common from both sides and cancel them

-(7a³+48)=-(a³)

7a³+48=a³

Add -a³-48 on both sides

7a³+48-a³-48=a³-a³-48

6a³=-48

Divide both sides with 6

(6÷6)a³=(-48÷6)

a³=-8

write -8 in the expansion form which is (-2)×(-2)×(-2)=-8

a³=(-2)³

From above it says that

a=-2

Hence, real number that satisfy [tex]\frac{1}{a^3+7}-7=\frac{-a^3}{a^3+7}[/tex] is a=-2.

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Step-by-step explanation:

hope it helps you understand

This is not a good minimum quota for this survey. For us to have a good minimum quota, there must be equality. i,e 50% for cell phone respondents and 50% for landline respondents.

Survey methodology is the study of the sampling of discrete units or groups from a population and the procedures used to gather survey data, including the design of questionnaires and approaches for increasing survey response rates and precision.

A good minimum quota for this survey should be 50% for cell phone respondents and 50% for landline respondents.

It implies that the quota for cell phone respondents should be 10% lower and 10% higher for landline respondents.

For us to answer Part D, kindly provide or repost the complete question since we cannot see any link added.

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Answer: The perimeter of this triangle is 13.47.

Step-by-step explanation:

First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]

*Note: Keep X and Y consistent in the distance equation.

The distance for CB = 5.831

After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.

[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]

The distance for AB = 3.162

Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).

[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]

The distance for AC =4.472

Then find the perimeter by adding up the three side lengths.

AB + CB + AC = P

[tex]5.831 +3.162+4.472=13.465[/tex]

Finally, round 13.465 to the nearest hundredth, 13.47.

*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.

Answer:

no

Step-by-step explanation:

if I use any numbers too  .the numbers can not be constant numbers so this equation is not a direct variation

7 - 5 = 2

6- 4 = 2                                                        

not contstant

Answer:

4020 grams

Step-by-step explanation:

4kg=4000g

2 dag= 20g

Total: 4000g + 20g = 4020g

Answer:

4020 grams

Step-by-step explanation:

1 kg = 1000 g
1 dag = 10 g
4 x1000= 4000
2 x 10 = 20
4000 + 20

Answer: In the first week, Micah bought 11 gallons of gas,

and in the second week, he bought 8 gallons of gas

Step-by-step explanation:

In the first week, Micah bought x gallons of fuel at $2.39/gallon

In the second week, he bought (x - 3) gallons at $2.49/gallon

Formulating an equation and solving for x gallons of fuel:

x × 2.39 + (x - 3) × 2.49 = 46.21

2.39x + x × 2.49 − 3 × 2.49 = 46.21

2.39x + 2.49x − 7.47 = 46.21

4.88x − 7.47 = 46.21

4.88x = 53.68

[tex]\frac{4.88x}{4.88} = \frac{53.68}{4.88}[/tex]

x = 11

Therefore,

In the first week, Micah bought 11 gallons of gas

In the second week, he bought (11 - 3) = 8 gallons of gas

9x + 3 = 30
9x = 27
x = 3

Then 3x + 1 = 3 * 3 + 1 = 10

[tex]9x + 3 = 30 \\ \\ 9x = 30 - 3 \\ \\ 9x = 27 \\ \\ x = \frac{27}{9} \\ \\ x = 3.[/tex]

putting x = 3 in 3x + 1

[tex]3x + 1 \\ \\ 3 \times 3 + 1 \\ \\ 9 + 1 \\ \\ 10.[/tex]

The value of 3x + 1 is 10.

Answer: A,B,C

Step-by-step explanation: A,B,C is the answer

Answer: The Actual area of the dining room is 252 square feet.

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

Answer:

a: 1
b: -1
c: -3

Step-by-step explanation:

You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3

It looks like you're saying

[tex]f(x) = ax^2 + bx + c[/tex]

and you're asked to find [tex]a,b,c[/tex] given [tex]f(0)=-4[/tex], [tex]f(1)=-1[/tex], and [tex]f(-1)=-5[/tex].

Evaluate [tex]f[/tex] at the three given points:

[tex]x=0 \implies f(0) = \boxed{c = -4}[/tex]

[tex]x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3[/tex]

[tex]x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1[/tex]

[tex](a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}[/tex]

[tex]a-b = -1 \implies \boxed{b=3}[/tex]

and the mapping is [tex]f(x) = 2x^2 + 3x - 4[/tex].

Answer:

x = 3/2 ± [tex]\sqrt{5}[/tex] /2

Step-by-step explanation:

4x²-12x+9 = 5

Rearrange:

4x²-12x+4 = 0

Solve using the quadratic equation:

x = 3/2 ± [tex]\sqrt{5}[/tex] /2  

From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.

The given diagram is a rhombus that has the following properties

From the figure shown, we can see that;

<msr is a right angle (equal to 90 degrees)

<mrh is acute since it is less than 90degrees.

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Answer:

A (it must be acute)

Step-by-step explanation:

The probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is:

Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table(please refer to the attached picture)

A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?

We have to find the value of P(F or C):

[tex]\rm P( F \ or \ C) = \dfrac{118+6+18+16+2}{118+6+18+16+12+20+2+6+2}[/tex]

[tex]\rm P( F \ or \ C) = \dfrac{160}{200}[/tex]

P(F or C) = 0.80

Thus, the probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.

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Answer: x = 7

Step-by-step explanation:

First, we will plug 4 in for y. Then, to solve we will isolate the variable "x" in the equation.

  Given:

8x – 2y = 48

  Plug in the y value of 4:

8x – 2(4) = 48

  Multiply -2 times 4:

8x – 8 = 48

  Add 8 to both sides of the equation:

8x = 56

  Divide both sides of the equation by 8:

x = 7

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y=4

8x -2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8= 48+8

8x = 56

Divide by 8

8x/8 = 56/8

x = 7

Answer:

The third graph

Step-by-step explanation:

The third graph depicts the function f(x) = -1/2x because for every 1 unit decrease along the y-axis, you travel 2 units on the x-axis.

Also, the two points on the third graph can satisfy the equation.

Point 1: (-2,1)

f(-2) = (-1/2)(-2)

f(-2) = 1

Point 2: (0,0)

f(0) = (-1/2)(0)

f(0) = 0

Answer:

Length = 30

Width = 17

Step-by-step explanation:

Let L = length of rectangle and W = Width

The first sentence gives the equation

W = L/2 + 2 ==>

2W = L +4 ==>

L = 2W - 4 ....  (1)

The perimeter of the rectangle is 2(L+W) = 2L +2W

Second sentence gives us the equation

4L = 2L + 2W + 26 ===>
2L = 2W + 26 ......   (2)

(2) - (1) ==> L = 30   (2W cancels out)

From (1), W = 30/2 + 2 = 15 + 2 = 17

Check:
Using these values and substituting in equation 2 gives us
2 * 30 = 2* 17 + 26
60 = 34 + 26
which matches

Answer:

y = [tex]\frac{1}{5}[/tex] x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = [tex]\frac{1}{5}[/tex] x - 5 ← equation of parallel line