y=-1/4(x-10)^2+28 write in standard form

Answer:  x = 3

Step-by-step explanation:

Subtract 1

 2^x = 8

Take the log.

 x·log(2) = log(8)

Divide by the coefficient of x.

 x = log(8)/log(2) = log₂(8)

We know that 8 = 2³, so log₂(8) = 3.

 x = 3

_____

If your equation is ...

 2^(x+1) = 9

then

 x + 1 = log(9)/log(2)

 x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).

 x ≈ 2.170

The value of x from the logarithmic equation is x = 3

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

2ˣ + 1 = 9   be equation (1)

On simplifying the equation , we get

Subtracting 1 on both sides of the equation , we get

2ˣ = 8

Now , taking logarithm on both sides of the equation , we get

log ( 2 )ˣ = log ( 8 )

From the laws of logarithm , we can simplify

x log ( 2 ) = log ( 8 )

And , on further simplification , we get

x log ( 2 ) = log ( 2 )³

So , x log ( 2 ) = 3 log ( 2 )

Divide by log ( 2 ) on both sides of the equation , we get

x = 3

Hence , the value of x = 3

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Answer:

see below

Step-by-step explanation:  5 25 14  16

the graph shows the roots of the polymonimal to be

x = 0   and x - 4 = 0     x = 4     when y or f(x) = 0

f(x)   =   x(x-4)   =  x² - 4x

f(x)   =   x² - 4x

when x = 0   f(x) = 0

         x = 2   f(x)  =  2² - 4(2)   =  -4

         x = 4   f(x)  =  4² - 4(4)   =  0

The factorization of the polynomial graphed are,

⇒ y = x (x - 5)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have been given graph of polynomial.

This is in parabolic shape.

So, this is graph of quadratic function.

Hence,, there will be two zeroes.

And also number of zeroes of a function is equal to the number of times graphs cuts x-axis

Here, we can see graph cuts at (0,0) and (5,0).

So, the Factors will be:

(x - 0) and (x - 5).

Since, If x = 0 is a zero then it means factor will be (x)

Similarly, If x = 5 is a zero then it means factor will be (x-5).

Thus, the factorization of the polynomial graphed are,

⇒ y = x (x - 5)

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Answer:

188976

Step-by-step explanation:

2032 x 93 = 188976

Answer: 32%

Step-by-step explanation:

The percentage increase will be gotten by using the formula:

= Increase in score / Former score × 100

= (33 - 25) / 25 × 100

= 8/25 × 100

= 8 × 4

= 32%

The percentage increase is 32%.

Answer:

He gets 630 dollars a week so the answer is D.

The estimate's percent error is 4%, to the closest percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Find the difference between the estimate and the actual value:

Actual value - Estimated value = 676 - 650 = 26

The absolute value of the difference is 26, indicating that the actual value exceeded the estimated value.

Next, we need to find the relative error, which is the difference divided by the estimated value:

Relative error = Difference / Estimated value = 26 / 650

Finally, we can convert the relative error to a percentage by multiplying it by 100:

Percent error = Relative error x 100 = 26 / 650 x 100 ≈ 4

Therefore, the percent error, to the nearest percent, of the estimate is 4%.

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Answer:

the hypotenuse is 10

Step-by-step explanation:

6^2 + 8^2 = 100

square root 100 and its 10

Step-by-step explanation:

5.

g(x)=-2x+1

let y=2x+1

Interchanging role of x & y

x=2y+1

y=½x-½

g-¹(x)=½(x-1)

not

equal to f(x)=-x+1

Given function are not function of each other .

6.

g(x)=-x

let

y=-x

Interchanging role of x & y

x=-y

y=-x

g-¹(x)=-x

not

equal to f(x)=3+⅓x

Given function are not function of each other .

9514 1404 393

Answer:

  none of the function pairs are inverses

Step-by-step explanation:

Inverse linear functions will meet all of several requirements:

_____

For these problems, it is probably easiest to look at the last requirement. Each function is given in slope-intercept form, so the slope is simply the x-coefficient.

5) The product of slopes is (-2)(-1) = 2 ≠ 1 . . . NOT inverses

6) The product of slopes is (-1)(1/3) = -1/3 ≠ 1 . . . NOT inverses

7) The product of slopes is (-4/3)(-1/2) = 2/3 ≠ 1 . . . NOT inverses

8) The product of slopes is (3/2)(-5/2) = -15/4 ≠ 1 . . . NOT inverses

Answer:

x=76

Step-by-step explanation:

y+8=3y

-2y=-8

y=4

104*2=208

360-208=152

152/2=76

x=76

Answer:4.077669903

Step-by-step explanation:

4×103 is 4.04 times the 16*105.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let us consider the number be 'x'.

So, 4*103 of x = 16*105

      x= 16*105/4*103

       x= 4*1.01

       x= 4.04

Hence, the number is 4.04.

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Answer and Step-by-step explanation:

2 + 83p would be the expression.

In word form:

Two plus eighty three times p.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]2 + 83p[/tex]

Step-by-step explanation:

The phrase 'the sum of' indicates addition.

The phrase "The sum of 2 and 83p​" would add '2' and '83p'.

"The sum of 2 and 83p​" as an expression would be: [tex]2 +83p[/tex].

[tex]83p + 2[/tex] would also be correct due to the commutative property.

Hope this helps.

Answer:

G

Step-by-step explanation:

From the box plots given, the options that seem very much on support of the information given in the box plot is option G.

Median number in a box plot is the number at the point where the vertical line divides the box.

The median for Thin Crust is about 55 while the median for Thick Crust is above 55.

Therefore we can conclude that:

"The median number of orders for thick crust pizzas is larger than the median median number of orders for thin crust".

Answer:

15

Step-by-step explanation:

14+14=28+7=35-50=15

Hope that helped (your free to ask any question or if you are confused)

Answer: is it 25? i am bad at math but i am guessign

Step-by-step explanation:

Answer: either B. or C. ( at least i tried. )

Answer:

7

,

14

,

1

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

16^2= 2x16/16+16=32

32-100=68

Answer:

A)   minimum

B)   maximum

C)   minimum

Step-by-step explanation:

A positive x² coefficent means the parabola opens up and the vertex is the minimum

A negative x² coefficent means the parabola opens up and the vertex is the maximum

---------------------------------

A)   minimum

B)   maximum

C)   minimum

Answer:

Interest expressed as a percent of the principal will be referred to as an ... earned on an investment of P at the annual interest rate r for a period of t ... (c) monthly, (​d) weekly, (e) daily, and (f) continuously at a nominal annual ... and substitute x = 3−2y in for x in second equation and find 4y−3(3−2y) = 1.

Step-by-step explanation: sorry if that doesn't help :(

Answer:

4.8

Step-by-step explanation:

[tex] V_{sphere} = \frac{4}{3} \pi r^3 [/tex]

[tex] 144\pi= \frac{4}{3} \pi r^3 [/tex]

[tex]r^3 = \frac {3 \times 144\pi}{4\pi}[/tex]

[tex]r^3 = 3 \times 36[/tex]

[tex]r^3 = 108[/tex]

[tex]r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: [/tex]

Answer:

3/12

Step-by-step explanation:

Hope it helps plz give brainliest! :D

Answer:

24

Step-by-step explanation:

I just did it in class. it was hard but you just have to think about the question

Answer: no solution

Step-by-step explanation:

Answer:

10 × 0.5 x = 5x

10 × -2 = - 20

(5x-(-20)) = 5x + 20

-3x + 8x + 20 = 5x + 20

Answer:

y=1x+(-8)

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

Answer:

6.14 minutes   or   6 minutes & 8.4 seconds

Step-by-step explanation:

Initial elevation: 453 ft

Final elevation: 146 ft

Difference in elevation: 453 ft - 146 ft = 307 ft

speed = 50 ft/min

speed = distance/time

time * speed = distance

time = distance/speed

time = (307 ft)/(50 ft/min)

time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds

time = 6.14 minutes = 6 minutes + 8.4 seconds