Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.​

I assume you're referring to the product,

[tex]\log_{5t}(5t+1)\cdot\log_{5t+1}(5t+2)\cdot\cdots\cdot\log_{5t+n}(5t+n+1)[/tex]

Recall the change-of-base identity:

[tex]\log_ab=\dfrac{\log_cb}{\log_ca}[/tex]

where c > 0 and c ≠ 1. This means the product is equivalent to

[tex]\dfrac{\log(5t+1)}{\log(5t)}\cdot\dfrac{\log(5t+2)}{\log(5t+1)}\cdot\cdots\cdot\dfrac{\log(5t+n+1)}{\log(5t+n)}[/tex]

and it telescopes in the sense that the numerator and denominator of any two consecutive terms cancel with one another. The above then simplifies to

[tex]\dfrac{\log(5t+n+1)}{\log(5t)}=\boxed{\log_{5t}(5t+n+1)}[/tex]

Answer:

B

Step-by-step explanation:

the other too are stating that Gabe will spend more than or more than/equal to $100

Answer:

The total distance traveled by the car is 330 miles.

Step-by-step explanation:

The circular track is the circumference of circle with radius 1.5 miles.

Circumference of a circle = 2[tex]\pi[/tex]r

Thus,

Circumference of the track  = 2 x [tex]\frac{22}{7}[/tex] x 1.5

                           = 9.4286571429

Circumference of the track = 9.4286571429 miles

But, one complete revolution by the car is the circumference of the track.

i.e One complete revolution round the track = 9.4286571429 miles

Therefore,

35 complete revolutions round the track = 35 x 9.4286571429 miles

                                       = 330 miles

The total distance traveled by the car is 330 miles.

Answer:

-2 is the slope...

So Basically -2/1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, you solve for y by subtracting 2x from both sides of the equation and so now we have a y= -2x+6. The slope is going to be the number that is with x.

Answer:

P(-2,4)

Q(2,5)

R(-1,8)

Step-by-step explanation:

The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.

Answer:

A

Step-by-step explanation:

first term is 12, and following terms are obtained adding 4 to previous term.

Answer:

Step-by-step explanation:

Given tgat:

Regular price = $32

Discount = 20%

Sale tax = 8.1%

Answer: B

Step-by-step explanation:

It is $29.35 for each of the tickets that they buy for adults, so to figure out how much it is for all the adult tickets, it would be $29.35 times x. Same for the children tickets except it is times y and the amount of money is different.

Answer:

less than

Step-by-step explanation:

Answer:

-5/6 is less than to 2/3

Answer:

3 x 3 x 3= 18  so 18cm squared

Step-by-step explanation

Answer:

Volume =27cm³

Total surface area=54cm²

Step-by-step explanation:

Formula for finding volume of an object is Volume =length×breadth×height

so V=3cm×3cm×3cm=9cm²×3cm=27cm³ because the cm is three so it will become cube.

Formula for finding the total subject of an object is T.S.A meaning total surface area=2((length ×breadth)+(length×height)+(breadth ×height))

so it will be 2((3cm ×3cm)+(3cm ×3cm)+(3cm ×3cm)) calculate and if you any problem let me know.

Answer:

The expenditure would be $ 8600

Step-by-step explanation:

If the cost is given by the function

C(x)= 10x + 6   where x is the number of days

The cost for 1 day would be

C(1)= 16 *100 = 1600 $  ( the expenses are in hundreds of dollars)

Then Putting x= 8 in the given equation we get

C(8)= 10(8) + 6  

= 86

Multiplying 86 by 100 because expenditure rate per day  is in hundreds of dollars

The expenditure would be $ 8600

Answer:

3,10 please give me brainliest i need one more for 5 please please  please

Step-by-step explanation:

Answer:

I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me

Step-by-step explanation:

Domain: (-∞,∞) or -∞ < x < ∞ or all real numbers

Range: (-∞,0] or -∞ < y ≤ 0

Opens: Downwards since a is negative

Vertex: ( 0 , 0 )

Axis of Symmetry: x=0

x-intercept: ( 0 , 0 )

y-intercept: ( 0 , 0 )

Answer: I got an eqaution I hope it is basic

Step-by-step explanation:

4 times 9

9 - (-3 ) times -9 + 5

Answer:

its B and A

Step-by-step explanation:

Answer:

its in between the fist and second one cuusing what is given thats what i figured out

Step-by-step explanation:

3 x 36= 108 / 3 x 15 = 45

9 x 12 = 108 / 9 x 5 = 45

6 x 18 = 108 / 6 x 7 = 42

i hope this helps :)

Answer:

I think 4000 worker and I will be there at some point today and I

Answer:

y=-2/5x+8

Step-by-step explanation:

Step 1: Begin by changing the equation into slope-intercept form. Subtract 2x to both sides to get 5y=-10-2x. Divide 5 to both sides to isolate the variable, y. You should get y=-2/5x-2.

Step 2: Because we are looking for a line parallel to the given line, the slope should be the same, but the y-intercept should be different. Remove -2 to replace it with b, so it's unknown. The equation should be y=-2/5x+b. Plug in the ordered pair, (10, 4), into the equation to get 4=-2/5(10)+b. Multiply -2/5 and 10 to get -4. Add -4 to both sides and b=8. Plug in 8 and your final equation should be y=-2/5x+8.

Answer:

3

Step-by-step explanation:

We can approximate that triangle B is half the size of triangle A. We know this because the base for triangle A is six, meanwhile, for trinagle B it's 3. With this info we can then assume that in triangle A it's 10 for one side so, for triangle B it must be 5. However, there is n+2 instead. We can use the algebretic equation: 5=n+2. Once this equation is solved the answer is 3. Thus, n = 3.

Therefore, the input needed for an output of 7 using the function h(x) = 2x - 3 is x = 5.

In mathematics, a function is a rule that assigns a unique output or value to each input of a given set. In other words, a function is a relationship between two sets, called the domain and the range, such that for each input value in the domain, there is exactly one output value in the range. A function can be represented by a mathematical expression or formula, a graph, a table, or a set of ordered pairs. Functions are used to model various phenomena and solve problems in many fields, including science, engineering, economics, and finance.

Here,

To find the input (x) that corresponds to an output of 7, we can set h(x) equal to 7 and solve for x as follows:

h(x) = 2x - 3

Setting h(x) = 7, we get:

7 = 2x - 3

Adding 3 to both sides, we get:

10 = 2x

Dividing both sides by 2, we get:

x = 5

To know more about function,

https://brainly.com/question/28193994

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Answer:

Mrs. 2

Step-by-step explanation:

3.2 seconds is shorter than 3.8 seconds

Answer:

Mrs 2 ran 10 meters in 3.2seconds

Answer:

If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5  Sam-38.75,$8.75,339 Step-by-step explanation:

Just add up the number of hours worked and multiply by the rate.

Answer:

The first answer

Step-by-step explanation:

Answer:

y=2x+6

Step-by-step explanation:

Answer:

y=2x+2

Step-by-step explanation:

To find the point-slope form of the equation we need to get the slope-intercept form of (-3,-4) and 2

(Slope intercept form formula is y=mx+b) (m is slope) (b is y-intercept)

So we know that the slope of this equation is 2 so we can replace m with 2 since the slope is 2 and m is slope.

Equation will look like this:

y=2x+b

Now we need to find the b or y-intercept of the equation to do this the (-3,-4) come into play: replace x with -3 and replace y with -4

(x,y) -3 is x since it is the same spot in (-3,-4) and -4 is y since it is in the same spot in (-3,-4)

Replace:

-4=2(-3)+b

Multiply 2 and -3:

-4=-6+b

Move 6 to the other side by adding 6 on both side:

6-4=-6+6+b

Simplify

2=b

Now the equation looks like this: (If you replace b with 2 in y=2x+b)

y=2x+2

Answer: y=2x+2 (Point-slope form is the same thing as slope-intercept form)

Answer:

x,y(0,12)

Step-by-step explanation:

Y=mx+c

4=2X+4

4=2x+4

2x=0

X=0

Y=mx+c

Y=2(4)+4

Y=8+4

Y=12

Answer:

4.5255

Step-by-step explanation:

Use the Pythagorean theorem (a²+b²=c²) where A and B are equal to 3.2

Answer:

A. 8

Step-by-step explanation:

BE = ½(CD) (midsegment theorem)

BE = 2x - 10

CD = 12

Plug in the values

2x - 10 = ½(12)

2x - 10 = 6

Add 10 to both sides

2x - 10 + 10 = 6 + 10 (addition property of equality)

2x = 16 (addition property of equality)

Divide both sides by 2

2x/2 = 16/2

x = 8 (division property of equality)