**Answer:**

fire ...............

**Answer:**

fire

**Step-by-step explanation:**

.....................

(x+3)(x-5)-(4x+1)(1-4x)=17x^

**Answer: **[tex]\boxed{Sol=\{\dfrac{7}{4} \}}\\[/tex]

I suppose 17x^ means 17x².

and that we must solve the equation.

**Step-by-step explanation:**

[tex](x-3)(x-5)-(4x+1)(1-4x)=14x^2\\\\x^2-3x-5x+15+(4x+1)(4x-1)=17x^2\\\\x^2-8x+15+16x^2-1=17x^2\\\\-8x+14=0\\\\8x=14\\\\x=\dfrac{7}{4} \\\\\boxed{Sol=\{\dfrac{7}{4} \}}\\[/tex]

A banquet room has been set up with 10 tables that each have 8 seats. If 78 people show up for the banquet, how many empty seats will there be?

**There would be 2 empty seats.**

**Explanation: **

**If we multiply 10x8 we would get 80. If 78 people show up, we would subtract 78 from 80 and our answer would be two.**

find the GCF of 3,14,5?

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

**Answer:**

1

**Step-by-step explanation:**

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

Since 1 is the greatest common factor in 3,5,14 ,

**GCF = 1**

AAAAAAAAAAHHHHHHHHHHHH

**Answer:**

[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]

please help easy maths

**Answer:**

A

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

Mrs. Richards had a coupon for one-third off her total bill at the local

grocery store. She bought 2 boxes of cereal for $3.49 each, three cartons

of ice-cream for $2.99 each, and a six pack of soda for $1.99. How much

was her bill with the discount?

**Answer: **The bill with a discount is** $18.59**

**Step-by-step explanation:**

Given information

2 boxes of $3.49 cereal

3 cartons of $2.99 ice-cream

6 packs of $1.99 soda

1/3 discount off total bill

Given expression

Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)

Simplify values in parentheses

Bill = (2/3) (6.98 + 8.97 + 11.94)

Simplify by addition

Bill = (2/3) (27.89)

Simplify by multiplication

Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)

Hope this helps!! :)

Please let me know if you have any questions

Find the solution to the system of equations below

y=-5x+3

2x-3y=8

**Answer: (1, -2)**

**Concept:**

There are three general ways to solve the system of equations:

Elimination SubstitutionGraphingHere, we are going to use the **elimination **method to solve.

**Solve:**

Given

[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]

Convert the first equation's arrangement to correlate with the second equation

[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]

Multiply 3 on both sides in the first equation

[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]

Eliminate [y] by adding the two equations

[tex]17x = 17[/tex]

Divide both sides by 17

[tex]17x / 17=17/17[/tex]

[tex]x=1[/tex]

[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]

[tex](1, -2)[/tex]

Hope this helps!! :)

Please let me know if you have any questions

V = (pi r^2 h/3)...solve for h

**Answer:**

h = (3×V)/ (pi×r²)

**Step-by-step explanation:**

[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]

[tex]3 \times v = \pi {r}^{2} h[/tex]

[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]

Which expression has the same value as -5, + (-4)?

Submit Answer

0 -5 8 3 - 4 2 3

O 4; -(-5%)

O 5+(-4)

O-52-(-41)

First row, the answer on the left , -5 3/4 - 4 2/3

What is the sum of all positive intergers from √8 to √42

√8 < √9 = 3

and

√42 > √36 = 6

which means the positive integers between √8 and √42 are 3, 4, 5, and 6, and their sum is **18**.

Find the value of unknown side

**Answer:**

hope this helps you

have a great day

SOMEONE HELP ME PLEASE

**Answer:**

**6.3 cm**

**Step-by-step explanation:**

The distance from each centimeter is divided into 10 parts. Point A starts at 0 and goes until right before 6.5. The big line between each whole number signifies that you are halfway through the centimeter. As you can see, point B is right before a big line, so can't be bigger than 6.5 nor equal. The only option that fits this is 6.3 cm

**The answer is 6.3 cm**

*If helpful, brainliest please !*

Distance between (-2,-2) and (8,-6)

**Answer:**

Distance btw (-2, -2) and (8, -6) is (10, -4)

**Step-by-step explanation:**

I. Give (-2, -2) is A and (8, -6) is B

B - A = 8 - (-2) in x

= -6 - (-2) in y

So B - A = 10, -4

II. You can prove the answer by A.value + (10, -4) = B.value

Hope that help :D

Hi ;-)

[tex]\text{A}=(-2,-2) \ \text{and} \ \text{B}=(8,-6)\\\\|AB|=\sqrt{(8-(-2))^2+(-6-(-2))^2}\\\\|AB|=\sqrt{(8+2)^2+(-6+2)^2}\\\\|AB|=\sqrt{10^2+(-4)^2}\\\\|AB|=\sqrt{100+16}\\\\|AB|=\sqrt{116}\rightarrow\boxed{|AB|=2\sqrt{29}} \ (\text{because} \ 116=4\cdot29)[/tex]

At Bob's binders, a set of 3 notebooks costs $4.20. At Pam's Paper Place a set of 4 notebooks costs $5.20. What is the unit price of the notebooks at each store? Which is the better buy?

**Step-by-step explanation:**

At Bob's binders, the unit price = $4.20 ÷ 3

= $**1****.****4****0**

At Pam's Paper Place the unit price = $5.20 ÷ 4 = **$****1****.****3****0**

**the**** ****better**** ****buy**** ****is**** ****at**** ****Pam's**** ****Paper**** ****place**

Find the equivalent equation that results from adding 5 to both sides first and then multiplying

both sides by 2. Show each step. You do not have to solve the equation at the end.

**Answer:**

5d = 30

**Step-by-step explanation:**

1. first you need to add 5 to both sides

d-4+5 = 2+5

2. then you need to combine like terms

d+1 = 7

3. after that you have to multiply both sides by 5

5(d+1) = 7(5)

4. simplify

5d + 5 = 35

-5 -5

5d = 30

Find the sum Sn of the first n terms from the given sequence.

1, 1+2, 1+2+3, 1+2+3+4, ...

Please show your work and use Sigma Notation too. Thank you!

**The Sequence: **

1 , 1+2 , 1+2+3 , 1+2+3+4, ...

here, every term is an AP. finding the general formula for the sum of the elements of each term is:

Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex] * [where x = number of term, a = first term and d = common difference]*

here, the first term is always 1 and so is the common difference.

Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]

Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]

which is the formula for a general term in our series

now, we need to find the sum of the first n terms of this series

[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]

[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]

in this formula, for the first term, it's just an AP from x = 1 to x = n

for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]

[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

in this AP (first term), the first term and the common difference is 1 as well

[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]

[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]

[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]

[tex]\frac{n(n+1)(n+2)}{6}[/tex]

which is the sum of n terms of the given sequence

Put the following equation of a line into slope-intercept form, simplifying all

fractions.

12x + 10y = -60

Answer:

Submit Answer

PLS HELP ASAP

**Answer:**

here's the answer to your question

12x+10y=-60

10y=-60-12x

Y=-6- 6/5 x

Y=-6/5 x - 6

10y=-60-12x

Y=-6- 6/5 x

Y=-6/5 x - 6

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.

**Answer:**

TR = 23

**Step-by-step explanation:**

first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR

How can i solve this?

**Answer:**

Perimeter is (8x + 4) units.

**Step-by-step explanation:**

[tex]{ \sf{perimeter = side + side + side}} \\ { \sf{p = (2x + 1) + (7x - 2) + (5 - x)}} \\ { \sf{p = (2x + 7x - x) + (1 - 2 + 5)}} \\ { \sf{p = 8x + 4}}[/tex]

Simplify each expression

**Answer:**

[tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]

**I hope I helped you****^****_****^**

What is the y-intercept, given the equation: y=x^2+2x−8?

Write your response as an ordered pair.

**Answer:**

y-intercept is **(****0****,**** ****-****8****)**

**Step-by-step explanation:**

[tex]y = {x}^{2} + 2x - 8[/tex]

At y-intercept, **x**** ****i****s**** ****z****e****r****o**

substitute x as zero:

[tex]y = {(0)}^{2} + 2(0) - 8 \\ y = 0 + 0 - 8 \\ y = - 8[/tex]

Fimd the hcf of 144,384 and 432 by division method.

48..................

PLEASE HELP ME!!!

There are 21 squares in all. How many squares are covered? Mark the correct answer.

A:6 B:9 C:12 D:18

I believe it’s 18 since 3 rolls are covered

Which statements about the function are true? Select two options.

The vertex of the function is at (1,–25).

The vertex of the function is at (1,–24).

The graph is increasing only on the interval −4< x < 6.

The graph is positive only on one interval, where x < –4.

The graph is negative on the entire interval

–4 < x < 6.

**Answer:**

**Step-by-step explanation:**

x-intercept(s):

( − 4 , 0 ) , ( 6 , 0 )

y-intercept(s):

( 0 , − 24 )

Answer:1 and 2

Step-by-step explanation:right on edge

[tex]\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }[/tex]

**Answer:**

[tex]\frac{(a+b)}{a^{2} -b^{2} }[/tex] + [tex]\frac{(a-b)}{a^{2} -b^{2} }[/tex] = [tex]\frac{2a}{a^{2} -b^{2} }[/tex]

**Step-by-step explanation:**

**Step-by-step explanation:**

[tex] \frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment[/tex]

[tex]thank \: you[/tex]

The radius of the circle below is 5 inches. What is the diameter of the circle?

**Answer:**

10 inches

**Step-by-step explanation:**

radius = 5 inches

Diameter = radius x 2 = 5 x 2 =** 10 inches**

Evaluate the expression when y = -2

- 8y2

I believe this is the expression:

[tex] \displaystyle \large \boxed{ - 8 {y}^{2} }[/tex]

Since we want to evaluate it when y = -2, simply substitute y = -2 in the expression.

[tex] \displaystyle \large{ - 8 {( - 2)}^{2} }[/tex]

Any negative number squared will result in positive, refer below:

[tex] \displaystyle \large{ {( - a)}^{2} = {a}^{2} } \\ \displaystyle \large{ {( - 2)}^{2} = {2}^{2} } \longrightarrow \boxed{4} \\ [/tex]

Hence,

[tex] \displaystyle \large{ - 8(4) = - 8 \times 4} \\ \displaystyle \large \boxed{ -32}[/tex]

**Answer:**

-32

**Step-by-step explanation:**

Replace the variable **y** with -2 in the expression giving -8(-2)^2

Then, square -2 giving us (positive) 4

Lastly, multiply -8 with 4 and get **-32** as our answer

(Hopefully this helped you! Feel free to ask again if you need more help. Tell me if the solution is unclear to you)

Find the value of x,y and z

**Answer:**

hope it helps, appreciate if you can give brainliests

f(x)=|-3x+4|+5 help?

**Answer:**

This will plot as an upward "V" with the vertex at x = 4/3, y = 5

**Step-by-step explanation:**

The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so

-3x + 4 = 0

-3x = -4

x = 4/3

which makes y = 5 (the minimin)

Can you guys help me find a flag that has at least one reflection and a translation in it? If not, then two flags that show these transformations.

This is very urgent and I need to get it done soon, whoever is willing to help me I'll mark you as brainliest. Thank you!

**Answer:**

The united nations flag the translation can be any of the blue triangles and the reflection if the flag itself as it is symmetrical

**Step-by-step explanation:**

The **united **nations flag the **translation **can be any of blue triangles and the **reflection **if the flag itself as it is **symmetrical**.

When a graph is **reflected **along an axis, say x axis, then that leads the graph to go just in **opposite **side of the axis as if we're seeing it in a mirror.

If we study it more, you will find that its **symmetric**, thus each point is **equidistant **from the axis of **reflection **as that of the image of that point.

If you're **reflecting **a point (x,y) along x axis, then its **abscissa **will stay same but **ordinates **will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're **reflecting **a point (x,y) along y axis, the **resultant **image of the point will be (-x,y)

Therefore, The **united **nations flag the **translation **can be any of blue triangles and the **reflection **if the flag itself as it is **symmetrical**.

Learn more about **reflection**;

https://brainly.com/question/12950057

#SPJ2

Fill the blanks with some or any. 1. I went to the cinema with of my friends 2. Dany doesn't have children 3. Have you got siblings? 4. I bought fruits. 5. Do you want ... coffee? 6. They haven't test this week 7. There aren't ........... tomatoes left. 8. There are books about Ancient History in the library 9. Would you like cookies? 10. Do we have .........milk in the fridge? 11. Would you like ..........cheese? 12. There isn't money left this month. 13. I have ........ time left, we can go to the cinema 14.1 haven't seen .............lions when I was in Africa 15. I can lend you interesting DVDs 16. Would you like ..........cake? 17. If you need advice just contact me 18. I don't need ............ help to do the homework. 19. Can you lend me ............money? 20. Have you already traveled to country in South America?
a Find the Q2 and Q; of the following data. 5500, 6800, 4200, 3900, 7800, 6150, 4400, 7500 5 and 12 + 1 are in
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