Simplify: a(3+5a)-4(a2+5)

Answers

Answer 1

Answer:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]

Distribute:

[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]

Rearrange:

[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]

Combine like terms:

[tex]\displaystyle = a^2 + 3a -20[/tex]

In conclusion:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]


Related Questions

You go to the grocery store to buy milk and some eggs. Milk costs $3.67 and eggs cost $2.40. You want to make sure you have enough money. Estimate the cost of these two items to the nearest ones place.

Answers

Answer:

Step-by-step explanation:

Let's start by round 3.67. We look at the key digit which is 6 in this case. Since 6 is greater than 5, 3.67 will round up to 4.

The key digit in 2.40 is 4. 4 is not greater than 5, so we round down to 2.

2+4=6

Therefore, an estimate of these two items to the nearest ones place is $6.

Answer:

$2 for the eggs and $4 for the milk

Step-by-step explanation:

Since the eggs cost $2.40 and after the 2 you can see that there is a 4, " 5 or more we add one more, 4 or less just ignore", so it stays $2. However the milk costs $3.67, and here you can see that after the 3 there is a 4, so since it's more than 5 we change the estimated amount to $4.

I hope you understood, and I hope the answer is right :)

Find the area of this circle

Answers

Answer:

314ft²

Step-by-step explanation:

A = 3.14(10²)

A = 3.14 x 100

A = 314ft²

Answer:

Area is 314 ft²

Step-by-step explanation:

[tex]A = \pi {r}^{2} [/tex]

r is radius,

[tex]r = \frac{diameter}{2} = \frac{20}{2} = 10 \: ft[/tex]

therefore:

[tex]A = 3.14 \times {10}^{2} \\ A = 3.14 \times 100 \\ A = 314 \: {ft}^{2} [/tex]

Please let me know fast

Answers

Answer:

b) 0

Step-by-step explanation:

[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]

What is the least three-digit whole number that has exactly five positive factors?

Answers

The number 100 and that’s the only one I can think of

There is no three-digit whole number that has exactly five positive factors.

The prime factorization of a number with five factors will be of the form p⁴ or p²q, where p and q are distinct prime numbers.

p⁴:

The smallest prime number greater than or equal to 10 is 11.

So, let's consider 11⁴:

11⁴ = 14641 (which is a five-digit number)

p²q:

To minimize the number, we need the smallest prime numbers possible. The two smallest prime numbers greater than 10 are 11 and 13.

Let's consider the product of these two primes:

11² × 13 = 1573 (a four-digit number)

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solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.​

Answers

Answer:

x = - 6, y = - 29

Step-by-step explanation:

Elimination:

2*(-5x + y = 1) = -10x + 2y = 2

9x - 2y = 4 = + (9x - 2y = 4) =

-x = 6

x = -6

9(-6)-2y=4

-54-2y=4

-2y=58

y=-29

Which word begins with an open syllable?
silly
sister
sofa
softer

Answers

The word sofa begins with an open syllable.

Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.

In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.

The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.

Learn more about open syllable here:

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In a mathematics class , half of the students scored 84 on an achievement test. With the exception of a few students who scored 50 , the remaining students scored 76. Which of the following statements is true about the distribution of scores ?


A. The mean is greater than the mode.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is greater than the median.

Answers

Answer: B. The mean is less than the median

Step-by-step explanation:

there are some that scored 51 which means - mean<median

The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?

Answers

Answer:

fraction of blue beads = 7/(4+7)

= 7/11

Answer:

3:5

Step-by-step explanation:

find a common numeral

how many litters is in a gallon

Answers

Answer:3.785 liters

Step-by-step explanation:

Answer:

1 gal = 3.78541

Step-by-step explanation:

A quick search will do it.

The product of 2 and a number k, subtracted from 17

A. 2+k+17

B. 2k+17

c. 17-2k

D. 2k-17​

Answers

hi <3

product means multiplication, therefore we know there has to be a '2k' and we can eliminate option A

also, there is a mention of subtraction, so we can also eliminate option B

now we are left with C and D

it is stated that it is being subtracted FROM 17, therefore the 17 would have to come first

in short, your answer is option C

hope this helps :)

The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given that,

The product of 2 and a number k, subtracted from 17

we have to find the expression for given statement.

let the number be x

now, we have,

The product of 2 and a number k,

i.e. 2*k = 2k

then,  subtracted from 17

i.e. 17 - 2k

so, we get,

x = 17 - 2k

Hence, The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

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simplify (2/3 of 21/4)

Answers

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped

If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.

Answers

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5

Plss help me! Brainlist! Pls!!! I’m so confused!!!!

Answers

3^ (1-2x)=243 and ya that’s how you solve it if u don’t understand let me know

I left home at 5:30 am
7.250m and arrived at school at 7:25am how many seconds did I take to reach school

Answers

I think it is 6,900 seconds. I believe that is the answer because the time distance from 7:25am and 5:30am is 1hr 55 mins, that in seconds is 6,900 seconds.

suppose the functions u and w are defined as follows u(x)=x+9 w(x)=the square root of x+8 find the following (wou)(8)= (uow)(8)=

Answers

Answer:

5 and 13

Step-by-step explanation:

To evaluate (w ○ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is

u(8) = = 8 + 9 = 17 , then

w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5

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

To evaluate (u ○ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is

w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then

u(4) = 4 + 9 = 13

Answer:

Step-by-step explanation:

[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]

Simplify the expression. 3(7) – 3(3)

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]3\times 7-3\times 3[/tex]

This term's numerical factors have been multiplied:-

[tex]=12[/tex]

OAmalOHopeO

The table shows the times for the 100-meter dash. What is the
difference between the men'stime and the women's time?
Write your answer in both decimal and fraction form.
Times for 100-meter Dash
Men's winner
9.58
2009
Women's winner
10.49
1988

Answers

Answer:

0.91 (make sure to include unit of measurement)

Step-by-step explanation:

10.49 - 9.58 = 0.91

5 increased by the product of 2 and t​

Answers

Answer:

Step-by-step explanation:

increased means add.

5 + 2*t

1.
.? ESSENTIAL QUESTION
How are the
midpoint and length of a segment on the
coordinate plane determined?

Answers

Answer:

to find midpoint add both"X" coordinates and divide by 2

also add "Y" coordinates and divide by 2

then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]

Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

To determine the midpoint of two coordinates (x₁,y₁) and (x₂,y₂ )

Midpoint = [ (x₁ + x₂)/2 + (y₁ + y₂)/2 ]

The distance between two points (x₁,y₁) and (x₂,y₂ )

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Hence "Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]".

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GH = 4x - 1, and DH = 8. Find x.
Help

Answers

x=197 is the answer for your question

Answer:

x=4.25

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

8+8=4x-1

16=4x-1

4x=16+1

4x=17

x= 17/4

I have no idea if i am correct just a guesstimate

Have a good day

What is the slope of a line parallel to a line with equation -4y + 7x = 20?

Answers

Answer:

[tex]{ \underline{ \sf{slope \: is \: \frac{7}{4} }}}[/tex]

Step-by-step explanation:

Parallel lines have same slopes.

General equation of line:

[tex]y = mx + c[/tex]

the line given:

[tex] - 4y + 7x = 20 \\ 4y = 7x - 20 \\ y = \frac{7}{4} x - 5[/tex]

solve each of the inequalities illustrating each solution on a number line
a)x-3 ≥7
b)-2y+4> 3

Answers

Answer:

a) [tex]x \geqslant 10[/tex][tex]y < - \frac{ - 1}{2} [/tex]

Step-by-step explanation:

mark me as brainliest ❤️

Does this scatter plot show a positive trend, a negative trend, or no trend?

Answers

Answer:

This shows no trend.

Step-by-step explanation:

Answer:

No Trend

Step-by-step explanation:

The scatter plot is everywhere and there is no pattern within it therefore it has no trend.

Hope it helps

Find the output, k, when the input, t, is -7.

k= 10t - 19

k=

Answers

Answer:

Here is the answer . hope this helps.

1/2. Divided by 2/12 picture

Answers

1/2 divided by 2/12 or 1/6 would be 3.The reciprocal of 1/6 is 6 and multiplied with 1/2 = 3.

Answer:

3

Step-by-step explanation:

[tex] \frac{1}{2} \div \frac{2}{12} [/tex]

➡️ [tex] \frac{1}{2} \times \frac{12}{2} [/tex]

➡️ [tex] \frac{1}{2} \times 6[/tex]

➡️ [tex] = 3[/tex] ✅

Is 9pi rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

Plz help me W/ theses with steps

Answers

Answer:

68 blue marbles are there.

Answer:

Blue marbles are 100.

Step-by-step explanation:

Number of red marbles=252 × 2/7

Number of red marbles=72

Remaining marbles=252-72

Remaining marbles=180

Now,

Number of green marbles=180×4/9

Number of green marbles=80

Reaminng marbles which are blue=100-80

=100

If you have any questions about it let me know.

Compare with >, < 12.6 and 12.3​

Answers

Answer:

12.6>12.3

Step-by-step explanation:

express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!

Answers

Answer:

(i) 2x+3y=9.3

5

ˉ

⇒2x+3y−9.3

5

ˉ

Comparing the equation with ax+by+c=0

a=2,b=3,c=−9.3

5

ˉ

Answer:

[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Step-by-step explanation:

Given

3x - x² ← factor out - 1 from each term

= - (x² - 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 3x

= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )

= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )

= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Zip codes are numerical designations of locations for the purpose of mail delivery. The following histogram summarizes the number, in hundreds, of zip codes assigned to each state in the United States.

According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Choose 1 answer:

Answers

There are zero number of outliers in data set.

What are [tex]1.5[/tex] IQR rule for outliers ?

The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.

And,

[tex]IQR=Q_{3} -Q_{1}[/tex]

We have,

[tex]Q_{1}= 275[/tex]

[tex]Q_{3} = 933[/tex]

Minimum [tex]= 1[/tex]

Maximum [tex]= 2596[/tex]

Median [tex]= 533[/tex]

Now,

[tex]IQR=Q_{3} -Q_{1}[/tex]

IQR [tex]=933-275=658[/tex]

So,

[tex]Q_{1} -1.5\ IQR[/tex]

[tex]=275-1.5*658[/tex]

[tex]=-712[/tex]

So, any data point lower than this is the low outlier.

As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.

Hence, we can say that here are zero number of outliers in data set.

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Answer:

The correct answer is 3.

Step-by-step explanation:

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