Divide and write the quotient as a decimal

General equation

By observing y=(x+4)²-6

So

The parabola graph is attached

Answer:

See below ~

Step-by-step explanation:

Given :

f(x) = (x+4)² − 6

f(x) = a(x + h)² + k

Another point on the parabola :

Graph :

Answer:

40 : 1

Step-by-step explanation:

40 miles / 1 hour = 40 : 1

Answer:

B

Step-by-step explanation:

Answer:

B) 1 1/3

Step-by-step explanation:

4 x 1/3 = 4/3

4/3 = 1 1/3

Answer:

Step-by-step explanation:

Question 1:

Franco made 36 invitations and gave out 14. How many invitations does he have left?

Simple. Solve for the bottom:

That is the answer D.

Question 2:

Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?

Complicated (a bit). Solve:

That is the answer C.

Answer: x = -6 and x = -5/2

Step-by-step explanation:

[tex]$$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-\frac{5}{2}$$[/tex]

[tex]\left(\sqrt[3]{- \dfrac 18} \right)^3+3\dfrac3 4\\\\\\=\left[\left(-\dfrac 18 \right)^{\tfrac 13}\right]^3+ \dfrac{12+3}4\\\\\\=\left(-\dfrac 18 \right)^{\tfrac 33\right)+ \dfrac{15}4\\\\\\=\dfrac{15}{4}- \dfrac 18\\\\\\\\=\dfrac{30-1}{8}\\\\\\=\dfrac{29}8\\\\\\=3\dfrac 58 \\\\\\= 3.625[/tex]

Answer:

29/8

Step-by-step explanation:

Answer:

Subtract 5 from both sides

Step-by-step explanation:

Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options

Answer:

B

Step-by-step explanation:

I hope this helps. God bless

An irrational number is a type of real number which cannot be represented as a simple fraction.

A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.

Answer:

here is the definition of irrational and rational numbers

The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,

The team lead salary:

[tex]\rm x = \dfrac{1200+1200+1200+x}{4} + 600[/tex]

4x = 3600+ x+ 2400

3x = 6000

x = $2000

Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

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there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]

Answer:

A movie costs $4.25 and a video game $5.5.

Step-by-step explanation:

Step 1: Form the equations.

Let m be the price of a movie and v the price of the video game.

First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.

[tex]4m + 8v = 61[/tex]

Second equation: The next month she rented 2 movies and 3 video games for a total of $25.

[tex]2m + 3v = 25[/tex]

Step 2: Solve the system of equations.

[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]

I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.

[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]

Now I'm going to subtract the second equation from the first.

[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]

And solve.

[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]

Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).

[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]

Answer:

441 square feet.

Step-by-step explanation:

Area = length times width. Both length and width are 21 feet (3×7).

The required steps are explained below to convert the quadratic function into a perfect square.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c[/tex]

Add and subtract the half of the square the coefficient of x,

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c[/tex]

Then we have

[tex]\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c[/tex]

These are the required step to get the perfect square of the quadratic function.

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Answer:

Here is your answer

Step-by-step explanation:

Bearing from point A to B, can be calculated as,

beta = atan * 2(X, Y)

where, X and Y are two quantities and can be calculated as:

X=cos theta b^ * s AL

Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate

Answer:

Step-by-step explanation:

Compare the relevant values of functions. They are given in the table for function g(x) and on the graph for function f(x).

Answer:

g(1) > f(1)

Step-by-step explanation:

Based on the graph :

The statement is :

Narissa is right sample B is 15,000 times that of sample A

The quantity of matter that any object contains is called the mass of the body.

It is given that:-

So the mass will be given as:-

[tex]\dfrac{B}{A}=\dfrac{3.6\times 10^2}{2.4\times 10^{-2}}[/tex]

[tex]\dfrac{B}{A}=15000[/tex]

B  =  15000 B

Therefore Narissa is right sample B is 15,000 times that of sample A

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Step-by-step explanation:

photos explain. in the second photo, A didnt start at 0 so it looked not accurate

Answer:

(6.5,3.5)

Step-by-step explanation:

(6+7)÷2=6.5

(3+4)÷2=3.5

Answer:

Mean-average

Median-middle

Mode-Most Often Digit Entered (Most Common Digit)

Range-Least To Greatest

Step-by-step explanation:

Answer:

betewwn them?

Step-by-step explanation:

Answer:

64+18+z=180

Step-by-step explanation:

z=98, input 98 and it is true

The height of the triangular pyramid will be equal to H=12 feet.

A triangular pyramid is a pyramid having triangular faces the other sides of the pyramid are simliar triangles.

It is given that:-

The Volume of the pyramid=80 cubic meters

The Base area of the pyramid=20 square meters

The height of the pyramid=?

We know that the volume of a pyramid is given as:-

V=(1÷3)x Base area x height

V=(1÷3)x20 x H

H=(80x30)÷20

H=12 feet

Hence the height of the triangular pyramid will be equal to H=12 feet.

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Answer:

multiply the distance they walked by 4 since they walked for 4 days

Step-by-step explanation:

Answer:

probably bout like 4 dollars

Step-by-step explanation:

Answer:

5.51

Step-by-step explanation:

i used a calculator.

Answer:

Yes, the sequence is an arithmetic sequence

Step-by-step explanation:

Notice that each consecutive number is being added by the next odd number up:

0+3=3

3+5=8

8+7=15

15+9=24

24+11=35

We can represent this as the arithmetic sequence [tex]a_n=n(n+2)[/tex]

Answer:

You would plant 2 trees in each row instead of 4.

10 divided by 5 = 2