Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12

Answer: The maximum value is 35.94

Step-by-step explanation:

We have the function:

f(x) = -16*x^2 + 34*x + 20

This is a quadratic equation, and the first thing we can see is that the leading coefficient is smaller than zero, which means that the "arms" of the graph will go downwards, which means that the maximum of our function will be at the vertex.

First, we know that the vertex of a quadratic function is when f'(x) = 0.

f'(x) = 2*(-16*x) + 34 = 0.

x = -34/(-2*16) = 34/32 = 17/16.

Now we evaluate our function in the point x = 17/16.

f(17/16) = -16*(17/16)^2 + 32*(17/16) + 20 = 35.94

The maximum value is 35.94

Using the vertex, it is found that the maximum value of the function is of 36.

The function is given by:

[tex]f(x) = -16x^2 + 32x + 20[/tex]

Which is a quadratic function with coefficients [tex]a = -16, b = 32, c = 20[/tex].

The maximum value of a quadratic function with [tex]a < 0[/tex] is at the vertex, in which the value is:

[tex]f_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Hence, in this problem:

[tex]f_{MAX} = -\frac{(32)^2 - 4(-16)(20)}{4(-16)} = 36[/tex]

The maximum value of the function is of 36.

A similar problem is given at https://brainly.com/question/16858635

Answer: Hi!

To find the distance of the point from each axis, all we have to do is look at the x and the y coordinates of the points. If we wanted to find the distance that point P was from the x axis, we would look at our y - coordinate:

(x, y) = (3, 4) So, point P is 4 units away from the x -axis.

Now we need to look at the x - coordinate to find the distance that point P is from the y axis:

(x, y) = (3, 4) So, point P is 3 units away from the y - axis.

Hope this helps!

Answer:

Option C. 28

Step-by-step explanation:

From the question given,

m<HKM = 155°

m<JKL = (5x + 15)°

From the diagram,

m<HKM = m<JKL (since they are directly opposite)

Inputting the value of m<HKM and m<JKL into the above expression, we have:

m<HKM = m<JKL

m<HKM = 155°

m<JKL = (5x + 15)°

155 = 5x + 15

Collect like terms

155 – 15 = 5x

140 = 5x

Divide both side by 5

x = 140/5

x = 28

Therefore, the value of x is 28.

Answer:  C. 28

Step-by-step explanation:

Answer:

BC = 1/2 AC

2m angle DBC = m angle ABC

Angle ABC is bisected by ray BD

m∠WUT = 38°

Step-by-step explanation:

For both questions, we use the Angle Bisector Theorem.

Question 1:

We know since ray DB bisects ABC, AB and BC are congruent. They are split into 2 equal parts. Therefore, we know that if we take half of mAC, we should get either mBC or mAB. Therefore, the 1st statement is correct.

Since it is ray DB bisecting ABC, it created 2 right angles. If angle DBC was bisected, it would create 2 new angles that were 45° each, so the 2nd statement is incorrect.

We know that line ABC is equal to 180°. So if we add m∠ABD and m∠DBC (they both are 90°, as denoted in the picture) together, we should get 180°. Also, since they are congruent angles, one angle multiplied twice would also be 180°. Therefore, the 3rd statement is correct.

The Angle Bisector Theorem doesn't state that the bisector and one segment would be congruent. The length of the bisector could be anything and is not marked congruent to the other segments. Therefore, the 4th statement is incorrect.

Since we see that there is a bisector DB bisecting line ABC, creating 2 congruent segments and angles, we know that the 5th statement is correct.

Question 2:

The Angle Bisector Theorem states that a bisector that bisects 2 angles will become 2 smaller but congruent angles. So,

Step 1: Find x

4x + 6 = 6x - 10

6 = 2x - 10

16 = 2x

x = 8

Step 2: Find m∠WUT

m∠WUT = 6x - 10

m∠WUT = 6(8) - 10

m∠WUT = 48 - 10

m∠WUT = 38°

Answer:

6/21.

Step-by-step explanation:

let the rational number be 2x/7x.

2x + 4 / 7x - 2 = 10 /19

Cross multiply:

19(2x + 4) = 10(7x - 2)

38x + 76 = 70x - 20

96 = 70x - 38x

32x = 96

x = 3.

So the rational number is  2*3/ 7*3

= 6/21.

Answer:

11.11%

Step-by-step explanation:

We can first convert the fraction [tex]\frac{1}{9}[/tex] into a decimal.

We know that a number over 9 will be 0.(that number repeating), for example, [tex]\frac{4}{9}[/tex] is 0.444444...

So this means that [tex]\frac{1}{9}[/tex] will be 0.11111...

Converting [tex]0.\overline{11}[/tex] into a percentage is easy - we just multiply by 100.

This get us [tex]11.\overline{11}[/tex]%, which rounds to 11.11%.

Hope this helped!

Answer:

10 books

Step-by-step explanation:

5 × 2 = 10

unknown in this problem is number of books in all

Start by setting up your two sets of parenthses.

Inside, we have the terms that compose each binomial.

Since x² breaks down into x · x, we use an x in each binomial.

The second term is the factors of -12 that add to the coefficient

of the middle term but what is the coefficient of the middle term?

If there is nothing written there, it's understood to be 1.

So factors of -12 that add to -1 are 4 and -4.

So we have (x + 4)(x - 3) which is our answer.

Answer:

x = 4 , x = -3

Step-by-step explanation:

x^2 - x - 12 = ( x - 4) ( x + 3)

x - 4 = 0 or x + 3 = 0

x = 4 or x = -3

Answer:

-2

Step-by-step explanation:

At first, you might think that -5 is bigger than -2 because 5 > 2, right? Actually, no, that's not how it works. The "rules" for numbers are flipped when you are dealing with negative numbers, so therefore, -2 is bigger. Basically, what I'm saying is that the smaller the number after the negative sign, the bigger the number is and vice versa.

Answer:

Answer is - 2

Step-by-step explanation:

Because in case of negative numbers the number which is smaller in negative no is bigger in negative

numbers I hope you understand....Mark me as brainliest

Answer:

1) YTW

2) WT, TZ

3) UTZ

4) Right angle

  Acute angle

  Obtuse angle

  Right angle

5) TU

Answer:

The difference between non professional and semi professional human resources are as follows,

Step-by-step explanation:

non professional human resources are that group of people who have not attended any skills such as sweeper,etc.

semi professional human resources are that group of people who have attended skills and training but haven't experienced in any sector such as assistant pilot , assistant engineer, etc

Answer:

-5 homie

Step-by-step explanation:

-5 times 2 is -10

Answer:

44/100 will be reduced to 11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

First, we know 44% can be changed to 44/100, since 44 is 44% is 100.

Now, we can simplify 44/100:

44/100

= 22/50

= 11/25

So, 44% is equivalent to 11/25

Answer:

Not enough tables.

Step-by-step explanation:

Circumference is 2*pi*r

The diameter is 2 times the radius or 2r, if the table diameter is 180cm. All we need to do is multiply by pi (3.14159) to get the circumference.

180*pi = 556.48cm

If each guest needs 70cm then we divide the circumference by 70

556.48/70 = 8.08 but we cant have a portion of a person so we can fit 8 people per table.

18 tables with 8 at a table is 8 x 18 = 144

If 145 guests are attending then there aren't enough tables, you are 1 table short.

Answer:

Step-by-step explanation:

Given that:

Keiko sold 3 less than three-fourths of his sister's sale.

To find:

Expression that represents what Keiko sold ?

[tex]1.\ \dfrac{3}{4} x - 3 \\2.\ \dfrac{3}{4} x + 3 \\ 3.\ 3 x + \dfrac{3}{4} \\4.\ 3x - \dfrac{3}{4}[/tex]

Solution:

First of all, let the sales done by Keiko's sister = [tex]x[/tex]

Now, let us consider the Keiko's sale word by word.

3 less than three-fourths of his sister's sale.

i.e. subtract 3 from the expression obtained in 1st line.

[tex]\dfrac{3}{4}x-3[/tex]

So, sales done by Keiko = [tex]\dfrac{3}{4}x-3[/tex]

So, correct answer is:

[tex]1.\ \dfrac{3}{4}x-3[/tex]

[tex]\frac{3}{4}x-3[/tex]

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Let [tex]x[/tex] denotes sale of sister of Keiko.

As Keiko sold [tex]3[/tex] less than three-fourths of his sister's sales,

Sales of Keiko [tex]=\frac{3}{4}x-3[/tex]

For more information:

https://brainly.com/question/19585043?referrer=searchResults

Answer:

I think it's D.

I'm 85% sure.

Answer:

yeah no doubt

d) is correct option...

brain list me plzzz

Answer:

Step-by-step explanation:

First equation:  2x^2 + 6x = 0 factors into 2x(x + 3) = 0, so either x = 0 or x = -3.

Second equation:  x^2 + 9x + 14 = 0 factors into (x + 2)(x + 7) = 0.  Thus, either x = -2 or x = -7

Hi there! Hopefully this helps!

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|

|[tex]2x^{2} + 6x = 0[/tex]

|

|First we factor out x

\/

[tex]x(2x+6)=0[/tex]

To find equation solutions, solve [tex]x = 0[/tex] and [tex]2x+6 = 0[/tex]

|

\/

[tex]x = 0[/tex]

[tex]x = -3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|

|[tex]x^{2}+ 9x + 14 = 0[/tex]

|

|To solve the equation, factor [tex]x^{2}+ 9x + 14[/tex] using formula [tex]x^{2} + (a + b)x + ab = (x+a) (x+b).[/tex] To find [tex]a[/tex] and [tex]b[/tex], set up a system to be solved.

|

\/

[tex]a + b = 9[/tex]

[tex]ab = 14[/tex]

|

\/

Since [tex]ab[/tex] is positive, [tex]a[/tex] and [tex]b[/tex] have the same sign. Since [tex]a + b[/tex] is positive, [tex]a[/tex] and [tex]b[/tex] are both positive. List all such integer pairs that give product 14.

1, 14

2, 7

|

\/

Calculate the sum for each pair.

1 + 14 = 15

2 + 7 = 9

|

\/

The solution is the pair that gives sum 9.

[tex]a = 2[/tex]

[tex]b = 7[/tex].

|

\/

Rewrite factored expression [tex](x+a)(x+b)[/tex] using the obtained values.

[tex](x+2)(x+7)[/tex]

|

\/

To find equation solutions, solve [tex]x + 2 = 0[/tex] and [tex]x + 7 = 0[/tex].

|

\/

[tex]x = -2[/tex]

[tex]x = -7[/tex]

Answer:

a sense of cohesion

Step-by-step explanation:

Team cohesion is a concept of how a team stays committed and values the interest of its members. A group can remain in a stable state when cohesion is strong, but the lack of cohesion made it prone to fall apart. The research of group cohesion is an important subject for study o how people stay interested in making large institutions work efficiently. It is referred to as a group of individuals with the same values and skills. And such a group and members of their group are dependable on each other.

In other to command respect and the acceptance of other people's view during a group discussion, it is imperative than contributing members can prove their inputs or view with evidence.

Learn more : https://brainly.com/question/17361599

Step-by-step explanation:

Answer: see in the picture.

I hope it helps...

Answer:

C and D are same options

(D)[tex] f(x) = x^2 [/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} \\ plug \: x = - x \\ f( - x) = {( - x)}^{2} = {x}^{2} \\ f( - x) = f(x)[/tex]

Answer:

string

Step-by-step explanation:

beacuse module,battery,array are same

Answer:

Step-by-step explanation:

1.

[tex]4\sqrt{12}-\sqrt{50}-5\sqrt{48}\\\\4\sqrt{12}=8\sqrt{3}\\\\\sqrt{50}=5\sqrt{2}\\\\5\sqrt{48}=20\sqrt{3}\\\\=8\sqrt{3}-5\sqrt{2}-20\sqrt{3}\\\\\mathrm{Add\:similar\:elements:}\:8\sqrt{3}-20\sqrt{3}=-12\sqrt{3}\\\\=-12\sqrt{3}-5\sqrt{2}[/tex]

2.

[tex]\sqrt{8}\sqrt{5}\sqrt{10}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\times b}\\\\=\sqrt{8\times \:5\times \:10}\\\\=\sqrt{400}\\\\\mathrm{Factor\:the\:number:\:}\:400=20^2\\\\=\sqrt{20^2}\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\\\sqrt{20^2}=20[/tex]

3.

[tex]\sqrt{45}+\sqrt{180}+\sqrt{80}\\\\\sqrt{45}=3\sqrt{5}\\\\\sqrt{180}=6\sqrt{5}\\\\\sqrt{80}=4\sqrt{5}\\\\=3\sqrt{5}+6\sqrt{5}+4\sqrt{5}\\\\\mathrm{Add\:similar\:elements:}\:3\sqrt{5}+6\sqrt{5}+4\sqrt{5}\\\\=13\sqrt{5}[/tex]

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

Explanation:

If we had x^2+2x + ___, then 1 must go in the blank so that we have x^2+2x+1 = (x+1)^2

So we must add 1 to both sides to complete the square for the x terms. To find this value '1' we take half of the x coefficient 2 to get 1, then square it to get 1^2 = 1.

We have

x^2+y^2 + 2x - 20y - 20 = 0

x^2+y^2 + 2x - 20y - 20 + 1 = 0 + 1

(x^2+2x+1) + y^2 - 20y - 20 = 1

(x^2+2x+1) + y^2 - 20y = 1 + 20

(x+1)^2 + y^2 - 20y = 21

After completing the square for the x terms. Repeat for the y terms. Take half of -20 to get -10, which squares to 100. Add this to both sides

(x+1)^2 + y^2 - 20y = 21

(x+1)^2 + y^2 - 20y + 100 = 21+100

(x+1)^2 + (y - 10)^2 = 121

The equation is in the form (x-h)^2 + (y-k)^2 = r^2 where

The center is (h, k) = (-1, 10). The radius is r = 11.

Answer:

x=5

Step-by-step explanation:

i took 12 and subtracted 7 to see what i got and to check my answer i added 5 to 7 to see if i got 12

Answer:

The answer is -14/25 or - 0.56

Answer:

-7.045 is greater

Step-by-step explanation:

Because -7.045 is closer to 0

Answer:

-7.045

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Step 1: State what is given

2 hours playing games or 120 minutes

30 minutes reading email

Step 2: Put information into fraction

[tex]\frac{email}{games} = \frac{30}{120}[/tex]

Step 3: Simplify the fraction by 30

[tex]\frac{30}{120}=\frac{1}{4}[/tex]

Therefore the fraction representing how long he plays games and reads email is [tex]\frac{1}{4}[/tex]

Answer:

(A) It will be equal to -25

Step-by-step explanation:

Given a number between -35 and -15.

To find:

A statement always true about the number.

(A) It will be equal to -25.

(B)It will be less than -20.

(c) It will be more than -10.

(D)It will be less than -10

Solution:

First of all, let us represent the given numbers on number line.

Please refer to the attached diagram for the number line representation of the numbers.

When we move towards left from 0, the numbers decrease.

Therefore, -15 is a value greater than -35.

-15 > -35

When we move towards right from 0, the numbers increase.

So, statement "A)It will be equal to -25" is true.

-25 will always be in between -15 and -35.

Option B:

Less than -20.

-40 is also lesser than -20 but is not in between -35 and -15.

So not true.

Option C:

More than -10.

-8 is also more than -10 but not in between -35 and -15.

So not true.

Option D:

Less than -10.

-11 is also lesser than -10 but is not in between -35 and -15.

So not true.

Answer:

48

Step-by-step explanation:

Let x be the total number of M&Ms in the bag.

0.75x = 36 because 75% of the M&Ms are red and there are 36 red M&Ms.

We can divide both sides by 0.75, getting x = 48.

Therefore, there are 48 M&Ms in the bag.