What is the solution to the help!!!!!
following equation:
2(3x - 7) + 18 = 10
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0 1
03
3
5
6

[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]

Step-by-step explanation:

A.6x^2-3x

3x(2x-1)

B.x^2+3x-28

product= -28x^2 sum= +3x factors= +7x, -4x

(x^+7x)(-4x-28)

x(x+7)-4(x+7)

(x-4)(x+7)

C.4au + 24av -5bu - 30bv

4a(u+6v)-5b(u+6v)

(4a-5b)(u+6v)

Answer:

The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated

Step-by-step explanation:

Answer:

5/32 square miles or 0.15625 square miles

Step-by-step explanation:

1/4 miles × 5/8 miles

=5/32 square miles or 0.15625 square miles

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

Read more about function transformation at:

https://brainly.com/question/4025726

Answer:

10

Step-by-step explanation:

Plug into Distance formula --> √(1 - (-5))^2 + (3 - (-5))^2

---> 10

Answer:

1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.

Step-by-step explanation:

i hope that helps!!

Answer:

742

Step-by-step explanation:

the sum of -1000 and 848

= -1000+848

= -152

Subtract the sum of -1000 and 848 from 590

= 590-(-152)

= 590+152

= 742

Answer:

  $6,160

Step-by-step explanation:

The total amount of dividend received is the product of the number of shares and the dividend per share:

  (2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received

Answer:

A=35.5 degrees

Step-by-step explanation:

Check out the photo. Leave a comment if anything's not clear.

Answer:

40 cups

Step-by-step explanation:

There are 16 cups in one gallon. So 16 * 2 1/2 = 40

Answer:

1.898×[tex]10^{27}[/tex]

2×[tex]10^{27}[/tex]

Step-by-step explanation:

so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)

I hope you'll find this helpful

please correct any and all errors found :)

60

The answer is given in the above picture.

Hope u like it............

Answer:

Noone can answer it if you dont give us the numbers

Step-by-step explanation:

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Learn more about factorization here: https://brainly.com/question/25829061

#SPJ1

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

Answer: x = ±8

Step-by-step explanation:

x^2 – 64 = 0

Add 64 to each side

x^2 – 64 +64= +64

x^2 = 64

Take the square root of each side

sqrt(x^2) = ±sqrt(64)

x = ±8

Original side length: A'C'=5

Original angle: 37 degrees

By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.

Resulting side length: A'C'=25

Resulting angle: 37 degrees

The correct answer is C.

Answer:

[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]

Step-by-step explanation:

Given:

Helen's age = N year old

Helen's brother = One year older than helen

To find:

a. Write n algebraic expression for the age of Helen’s brother

b. Find her brother’s age if Helen is age 12

C. Find her brothers age If Helen is x years old

Solution:

A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1

[tex]\fbox{Age of Helen’s brother = N+1}[/tex]

B) if helen is 12 year old then, N = 12

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = 12+1 = 13 y/o

[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]

C) if helen is x year old then, N = x

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = x+1

[tex]\fbox{Age of Helen’s brother = x+1}[/tex]

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Answer:

750

Step-by-step explanation:

I multiplied the hours she worked by the amount of payment per hour.

Answer:

$750

Step-by-step explanation:

Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:

[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]

From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:

[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]

Then evaluate 18.75 * 40 and therefore the solution is $750

For usage of formula:

P = RH for P = pay, H = hour and R = rate (pay per hour)

So if you use the formula, you’d still end up with P = 18.75*40 which is $750

The slope is m = 3.5; and the y-intercept is b = -6

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589

Step-by-step explanation:

[tex] \sin( \frac{9\pi}{4} ) [/tex]

[tex]0.1230573409[/tex]

Answer:

B!

Step-by-step explanation:

2 times pie times 6 times 6 plus 11 equals 640.9

Answer:

[tex]\frac{1}{8}[/tex] I think

Step-by-step explanation:

you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.

now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.

so when you multiply your two probabilities, you get the answer [tex]\frac{1}{8}[/tex]

whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.

I really hope you found this helpful (that is if all I said is correct) :)

Answer:

yea

Step-by-step explanation:

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol

Altitude (AB) = 9cm

Base (BC) = 12cm

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]

[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]

Option B= 15cm is the correct answer

Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So

cos(420°) = cos(360° + 60°)

cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)

cos(420°) = cos(60°)

since cos(360°) = 1 and sin(360°) = 0. Then

cos(420°) = cos(60°) = 1/2

Answer:

The answer is C :)

Step-by-step explanation: