*log x raised to n is the same as log n divide log x *

a. False
b. True

Answer:

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

[tex]\frac{-10}{25}[/tex] = a , that is

a = - [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form

Hi,

x² + 8x + 12 = 0

a= 1 ; b= 8 c= 12

∆ = b² - 4ac

∆ = 8² - 4*1*12

∆ = 64 - 4*12

∆ = 64 - 48

∆ = 16

∆>0 :

x1 = (-b-√∆)/2a = (-8-4)/2 = -12/2 = -6

x2 = (-b+√∆)/2a = (-8+4)/2 = -4/2 = -2

S= { -6 ; -2 }

x = -6

or x = -2

✅(•‿•)

Answer:

Step-by-step explanation:

x² + 8x + 12 = 0

➺ x² + 2x + 6x = 0

➺ x(x + 2) + 6(x + 2) =0

➺ (x + 6)(x + 2) = 0

Whether, x + 6 = 0

⠀⠀⠀⠀⠀➺ x = -6

⠀⠀or,⠀⠀⠀⠀ x + 2 = 0

⠀⠀⠀⠀⠀⠀➺ x = -2

The total number of students is 50

The number of students that named lacrosse as their favorite sport is given as:

[tex]Lacrosse = 19[/tex]

From the circle graph, 38% chose lacrosse.

So, the proportion of students that represent lacrosse is:

[tex]Lacrosse = 38\% \times Students[/tex]

Substitute 19 for lacrosse

[tex]19= 38\% \times Students[/tex]

Multiply both sides by 100

[tex]1900 = 38 \times Students[/tex]

Divide both sides by 38

[tex]50 = Students[/tex]

Rewrite as:

[tex]Students = 50[/tex]

Hence, the total number of students is 50

Read more about circle graphs at:

https://brainly.com/question/24461724

Answer:

j>3

Step-by-step explanation:

hope this helps sorry if it doesn't have a great rest of your night :)❤

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

Answer:

1/2 of a bale

Step-by-step explanation:

1/4 times 2 equals 1/2

Answer:

the domain is -11,10 but i didnt know if you wanted that or not

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

20*47= 940

940*5=4,700

47*100=4,700

Answer:

hhhhhhhhhhhhhh

Step-by-step explanation:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answer:

P = 342 ft

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Quadratics

Geometry

Area of a Rectangle Formula: A = lw

Perimeter of a Rectangle Formula: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

Identify variables.

A = 5670 ft²

"Length that is 9 feet less than 3 times its width" → l = 3w - 9

Step 2: Find w

Since length/width cannot be negative, we know that w = 45 ft.

Step 3: Find l

Step 4: Find Perimeter

∴ The perimeter of Janice's fence is 342 ft.

Let width be x ft

Length be 3x-9ft

Now

On solving we wI'll get x=-42,45

Take it positive

Now

Perimeter

Answer:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Step-by-step explanation:

Answer:

yes your math seems about right but wait for someone else to respond also because im not completely sure

Step-by-step explanation:

Answer:

4 pieces of fruit

Step-by-step explanation:

48 divided by 12 = 4

28 divided by 7 = 4

The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

[tex]A=6500(1.0175)^{4t}\\[/tex]

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Learn more on compound interest here: https://brainly.com/question/24274034

Answer:

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's calculate the volume of sphere with :

[tex] \sf \: vol = \dfrac{4}{3} \pi {r}^{3} [/tex]

Now, plug the value of radius (r) and find volume ~

The value closest to it is 65.45

Therefore, that's the most appropriate choice ~

[tex] ꧁  \large \rm{kaul} \: ꧂[/tex]

Answer:

The rate of speed is Carlos

Step-by-step explanation:

M- 28 c in 14 days

C- 60 c in 28 days (2x as much as M)

S- 5 c in 2 days

[tex] \sf \: = \sqrt[3]{50} \: \:cm \\ \sf \: = 3.68 \: cm[/tex]

Answer:

3.68 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

No of banana and kiwi = 8

So,

= 8×8

=64

Hello there! :)

The first step is to use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's distribute 3, using this property:

3(x-6)=3x-18

Now, our inequality looks like so:

12+x≤3x-18

The next step is to move the variables to the left, using the opposite operation:

12+x-3x≤-18

12-2x≤-18

Now, move all the numbers to the right, using the opposite operation:

-2x≤-18-12

-2x≤-30

Divide both sides by -2 to isolate x.

Remember that when we divide by a negative variable, we change the inequality sign:

x≥15

Therefore, x≥15

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Answer:

244140625

5¹²

it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.

Answer:

y=3x+8

Step-by-step explanation:

Answer:

y=1.5x+11

Step-by-step explanation:

Answer:

y = 4/3x + 4

Step-by-step explanation:

-4 - 8 / -6 - 3

-12 / -9

4/3 is slope

y = 4/3 x + b so we need to find b

Put one of the points in for y and x.

-4 = 4/3 (-6) + b

-4 = -8 + b

4 = b

y = 4/3x + 4

[tex]\huge \tt༆ Answer ༄[/tex]

The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4

And therefore, the slope of the line is B

Answer:

1000

Step-by-step explanation:

Answer:

10000 or 40000 pls mark this answer as brain list

Given monomials are 3x⁷ , 4x² and -5x³

On multiplying them then

⇛ (3x⁷)×(4x²)×(-5x³)

⇛(3×4×-5) × (x⁷×x²×x³)

⇛ -60×x^(7+2+3)

Since , a^m × a^n = a^(m+n)

⇛-60 × x¹²

⇛ -60x¹² Ans.

also read similar questions: Multiplying Polynomials by Monomials: 2x (5x-2) = 10x-4x...

https://brainly.com/question/21877934?referrer

Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)..

https://brainly.com/question/20695867?referrer

[tex]3x^7 .4x^2.(-5)x^3=3.4.(-5).x^{7+2+3}=-60x^{12}[/tex]

ok done. Thank to me :>

Answer:

A. is the type of potential energy

Step-by-step explanation:

examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill