y=x^2+16x+71 in vertex form

Answer:

ok

Step-by-step explanation:

We can write the log expression in terms of the log of x, y, and z as expression 1/2(logx+2logy-8logz).

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\\\log_ac = b[/tex]

We have an expression in logarithm:

[tex]=\rm log\sqrt{\frac{xy^2}{Z^8} }\\\\=log(\frac{xy^2}{Z^8})^{\frac{1}{2} }\\\\=\frac{1}{2}log(\frac{xy^2}{Z^8})[/tex]                         [tex](\rm loga^b = (b)log(a))[/tex]

[tex]\rm\frac{1}{2} (log(xy^2)-logz^8)[/tex]              [tex](\rm log(\frac{a}{b} )= loga - logb)[/tex]

[tex]\rm\frac{1}{2} (log(x)+log(y^2)-logz^8)[/tex]   [tex](\rm logab = loga+logb)[/tex]

[tex]\rm\frac{1}{2} (log(x)+2log(y)-8logz)[/tex]

Thus, we can write the log expression in terms of the log of x, y, and z as 1/2(logx+2logy-8logz).

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Answer:

No.

Step-by-step explanation:

It's simpler than you might expect.

If [tex](x - 4)[/tex]  is a factor, then it means that it the function [tex]f(x) = x^3 - 2x^2 + 5x + 1[/tex] can have [tex](x - 4)[/tex] factorised out.

This means that we can say [tex](x - 4) = 0[/tex]

Therefore [tex]x = 4[/tex]

If we put [tex]x = 4[/tex] into the equation:

[tex]f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53[/tex]

We didn't get 0, therefore it isn't a factor!

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.

[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]

I hope this helps! Have a lovely day!! :)

Answer:

option c

Step-by-step explanation:

-2,-1/4,1/4,0.5,4

I hope it helps you

Answer:

40051.744

Step-by-step explanation:

because im smart

[tex]1 \: mile = 1.60934 \: kilometers[/tex]

[tex]24887 \: miles = x \: kilometers[/tex]

[tex]x = 24887 \times 1.6934 [/tex]

[tex]x = 40 \: 051.65 \: kilometers[/tex]

[tex]s \: a \: = (2 \times \frac{1}{2} \times 4 \times 6) + (3 \times 2 \times 5) \\ [/tex]

[tex]s \: a \: = 24 + 30[/tex]

[tex]s \: a \: = 54 \: \: {yd}^{2} [/tex]

Answer:

The rule for the input-output table below is: add 1.5 to each input number to find its corresponding output number. Use this rule to find the corresponding output numbers. To find each output number, add 1.5 to each input number. Then, write that output number in the table.

Answer:

The answer is 2. Hope this helps!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

1 day

Step-by-step explanation:

4=6

2=3

2*3=6

so 3/3=1

It would take 6 people to build the wall 1 day

It takes 4 days to build the same wall with 6 people based on the given ratio.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

It takes 4 people 6 days to build a wall.

The number of people days taken = 4 x 6 = 24 people takes

This means if one person wants to build them it takes 24 days.

For 6 people the time taken will be 24/6 = 4 days.

Hence "It takes 4 days to build the same wall with 6 people based on the given ratio".

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Answer:

D

Step-by-step explanation:

A triangle is always determined by the names of its angles. If, for any reason, you wanted to label it by its side names(which I don't even think you can do but assuming you wanted to), you dont even have the names for all three sides here. So, it can only be d. A, X, and T are the three angle names for this triangle, so this is triangle ATX or AXT.

Answer:

ATX (option d)

Step-by-step explanation:

Sides of any polygon are called as vertices.

Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.

Triangles can also be classified by their angles. In an acute triangle all three angles are acute.

Answer:

I cannot see the attachment

Step-by-step explanation:

Answer:

161 × pi cm²

Step-by-step explanation:

we just had the question about the lateral surface area (which is the area of the "mantle" of the cone from the round bottom to the pointy top).

the whole surface area of a cone is then simply the lateral surface area plus the ground area, which is a circle.

so, we have

A = pi×r×sh + pi×r²

r = radius (remember, this is half of the diameter)

sh = slant height (the length of the "mantle" straight up from the ground to the top)

so, the surface area of our cone here is

A = pi×(14/2)×16 + pi×(14/2)² = pi×7×16 + pi×7² =

= 112×pi + 49×pi = 161 × pi cm²

Divide the polynomials to get the 3x + 5

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

is answer letter D.141

Answer:

7/16 of parsley

Step-by-step explanation:

Domain of this function is R or (-∞,∞)

Cuz this function of definable in each and every real number

Answer:

Hope the picture will help you. And Please Mark me brilliant!!!

Applying the rule of exponent, the equivalent expression is: [tex]x^{45}y^{5}z^{20}[/tex]

One of the rules of exponents is given as, [tex](xy)^m=(x^m)(y^m)[/tex].

Therefore, given:

(x9yz4)5

To find the equivalent expression, apply the rule of exponents as shown below:

[tex](x^9yz^4)^5=(x^{9*5})(y^5)(z^{4*5})[/tex]

[tex](x^9yz^4)^5=x^{45}y^5z^{20}[/tex]

Therefore, applying the rule of exponent, the equivalent expression is:

[tex]x^{45}y^{5}z^{20}[/tex]

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The year in which the average price of a new car would average $46,350 is 2021.

The price of a new car increases by $1250 per year. This is known as appreciation. The value of a new car can be represented with this equation:

Value of new car = value of the car now + (rate of increase x number of years)

Number of years = value of the new car - value of the car now) / rate of increase

(46350 - 37600) / 1250 = 7 years

7 + 2014 = 2021

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Answer:

Answer bellow

Step-by-step explanation:

9cm⋅12cm=108cm²

17cm=108cm²

7cm=108cm²

9cm=108cm²

3cm=108cm²

Answer:

407

Step-by-step explanation:

9 x 17 = 153

9 x 16 = 135

(15 x 14) x 1/2 = 105

add em up...

153 + 135 + 105 = 407

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

15 cm

Step-by-step explanation:

area stands for amount of space in certain spot therefore the answer would be 15

BRAINLIST PLEASE!

Answer:

$750

Step-by-step explanation:

20% can also be written as 1/5 in fraction form (20/100)

3750 x 1/5 = 750

Answer:

Part A

Step-by-step explanation:

Did test for flvs, brainliest please ;)

Answer:

0.75

Step-by-step explanation:

The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.

So, 0.75 * 8 = 6

The other number is 0.75

Answer:

C

Step-by-step explanation:

Answer: C

Out of 6 spaces on number line, C is the 3rd one