please help me with this question!

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]

Explanation:

Expression: d = 16t² where d is distance. t is time.

1)

Here t = 2

d = 16(2)²

d = 64 feet

2)

h = 906-t²

h = 906 - 16(2)²

h = 842 feet

3)

expression of height: y = 906 - 16t²

Answer:

Step-by-step explanation:

Q1

Q2

Q3

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

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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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:

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:

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

10 divided by 5 = 2

Answer:

-5

Step-by-step explanation:

9+6-2*10

15-20

= -5

Answer:

B

Step-by-step explanation:

The data shows a positive correlation so the gradient must be positive so B.

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:

The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

We are given the volume of the sphere as 144π cubic units.

From the attached file, we see that the radius of the sphere is 6.

Formula for Volume of a Sphere is;

V = ⁴/₃πr³

Thus;

V = ⁴/₃π * 6³

V = 288π cubic units

Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

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There are seven "0"s between the decimal point and the digit "6".

======================================================

Explanation:

The number [tex]6.51 \times 10^{-8}[/tex] is in scientific notation.

The exponent -8 tells us to move the decimal point exactly 8 spots to the left to get the answer 0.0000000651

In other words, we'll move the decimal point one spot to the left to go from 6.51 to 0.651

Then we move it another seven spots to the left to arrive at 0.0000000651

This is why there are seven "0"s between the decimal point and the digit "6".

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]

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:

5.51

Step-by-step explanation:

i used a calculator.

Step-by-step explanation:

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

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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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 :

Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

=> x² + 4x - 3x - 12

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

=> x² + 5x - 3x - 15

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

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:

64+18+z=180

Step-by-step explanation:

z=98, input 98 and it is true

The total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have total distance between from their old house to their new house:

d = 1003 miles

The car travel 23.6 miles per gallon

So the total amount of the fuel needed = 1003/23.6 = 42.5 gallons

42.5 gallons fuel will be required to travel 1003 miles

For the return trip (considering 23.6 miles per gallon) the same amount of fuel will be needed.

So the total fuel needed including roundtrip = 42.5×2 = 85 gallons

Thus, the total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.

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Answer:

Step-by-step explanation:

One

If the number was 1000, you just count the numbers starting at the right until you get a number that is between 1 and 10

So starting at the right, you get to go 3 places towards the left. You get the number one, so 1000 would be written as 1 * 10^3.

The the given number is a fraction the rule is Add a minus sign

Answer: 1/1000 = 1 * 10^-3

Two

10 is 10^1 in scientific notation

1/10 = 10^-1

Answer: 1/10

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

Answer:

40 : 1

Step-by-step explanation:

40 miles / 1 hour = 40 : 1

5x - 3 = 11 + 12x

---Subtract 5x from both sides

-3 = 11 + 7x

---Subtract 11 from both sides

-14 = 7x

---Divide both sides by 7 to leave x by itself

x = -2

Answer: x = -2

Answer Choice: A, -2

Hope this helps!

Answer:

A. The solution is x =-2.

Step-by-step explanation:

Given :

Subtract 11 from each side.

Subtract 5x from each side.

A. The solution is x =-2.

Answer:

(6.5,3.5)

Step-by-step explanation:

(6+7)÷2=6.5

(3+4)÷2=3.5

Answer:

B

Step-by-step explanation:

I hope this helps. God bless