represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width​

Answers

Answer 1

1. If the square of a number is added to 8 times the number, the result is 100.

Let x be the number.

Equation: x² + 8x - 100 = 0

2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.

Area: 30ft²

Length: 7w

Width: w

Area of a rectangle: LW

(7w)w = 30ft²

Equation: 7w² - 30 = 0


Related Questions

Find the degree of the monomial.
7a765

Answers

Answer: 1^ degree

Step-by-step explanation: because A is raised to 1 and being the only literal part the degree is one

Select all the correct answers. Which equations have a greater unit rate than the rate represented in the table? ​

Answers

Answer:

A. 5/7 x

D. 7/9x

Step-by-step explanation:

I hope this helped ♡ sorry if im wrong

The admission fee at an amusement park is $15.50 for children and $20.00 for adults. One day 217 people entered the park and the total admissions fees collected was $3.782
Define your variables as
"C" = # of children
"a" = # of adults
Write a system of equations to represent this information solve the system to find out how many children and how many adults came to the amusement park that day.

Answers

Answer:

Children = 124

Adults = 93

Step-by-step explanation:

x = children

y = adults

x + y = 217

x = 217 - y

15.50x + 20y = 3782

15.50 (217-y) + 20y = 3782

3363.50 - 15.50y + 20y = 3782

4.5y = 3782 - 3363:50

y = 418.50/4.5

y = 93

x + 93 = 217

x = 217 - 93

x = 124

Multiply (3)(-2)(5)
?? Help :((

Answers

Answer:

-30

Step-by-step explanation:

(3)(-2)(5)

= 3 × (-2) × (5)

= (-6) × (5)

= 6 × (-5)

= -30

[tex] [/tex]

Answer:

-30

Step-by-step explanation:

-2 x 5 = -10

-10 x 3 = -30

which polynomial represents the difference below 5x^2 + 9x + 3
- (6x^2 - 3x)
-------------------------

Answers

Answer:

-x^2+12x+3

Step-by-step explanation:

remove parenthesis

collect the terms

and simplify

What is the phase shift of the graph of y=-2 sin(x - π /2) - 4?
A) π /2 units left. B) π/2 units right. C) 4 units left. D) 4 units right

Answers

Answer:

b

Step-by-step explanation:

Find the equation of the line which passes through the point A(2,1) and is parallel to the line 2x + 3y = 5

Answers

Answer: Find the slope of the original line and use the point-slope formula Y - Y^1 = M (X - X^1) to find the line parallel to 2 x + 3y =5

Step-by-step explanation:

Y= -2/3 x + 7/5

order .375, .27, .3, .83 (the 3 is repeating), .75 least to greatest pls​

Answers

Answer:

0.27 , 0.3 , 0.375 , 0.75 , 0.83

Step-by-step explanation:

Hope this helps ^w^

You and your friend are getting food you have 100 dollars and the food is 60.85 the sale rate tax is 8% how much money will you have left?

Answers

Answer: $34.28

Explanation: 8% of $60.85 = $4.868

$60.85 + $4.868 = $65.718

$100 - $65.718 = $34.282

Round to nearest hundredth place

34.28

Given f(x)=3x/x+2, evaluate.
f(-3)= ? explain..

I will give Brainliest!

Answers

Answer:

9

Step-by-step explanation:

Plug the -3 value into the equation.

3( -3 ) / -3 + 2

-9 / -1

negative divided by a negative gives a positive result

9

A bag of apples cost $3.56. It cost $0.62 less than a bag of peaches. Ramses bought two bags at apples and a bag of peaches. He paid with a ten dollar bill. How much change does Ramses get

Answers

No change he owes 6 more cents

Answer: Ramses gets no change, in fact, he still owes money.

Step-by-step explanation: If one bag of apples costs $3.56 two bags will cost  $7.12. If a bag of apples costs $0.62 less than a bag of peaches a bag of peaches costs $4.18 ($3.56 + $0.62). $3.56 + $3.56 + $4.18 = $11.30

$11.30 > $10.00

Ramses still owes $1.30

The highest common factor (HCF) of two numbers is 6.
The lowest common multiple (LCM) of the same numbers is 60

What are the two numbers?
Please explain every step

Answers

Answer:

12 and 30

Step-by-step explanation:

HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.

LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.

so they could be 2×2×3 = 12 and 2×3×5 = 30

Factor the algebraic expression. 7x+63

Answers

Step-by-step explanation:

7x+63

= 7 (x +9)

Hope it helps ya

Answer:

7(x+9)

Step-by-step explanation:

7 times what = 63?

7*9 = 63 so lets pull out a 7 from the expression

7x+63 = 7(x+9)

Write an equation in Slope-Intercept Form using the table below. ​

Answers

Answer:

y = x + 46

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

Let (x1, y1) = (0, 46)

(x2, y2) =  (1, 47)

User the following formula for slope

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Plug in the values of the coordinates into the formula:[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1[/tex]

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:

y = x + 46

Please mark my answers as the Brainliest if you find my explanations helpful :)

Need help ASAP! Directions in picture ;)

Answers

Answer:

x=5

Step-by-step explanation:

First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?

(Answer is ratio or proportion)

Answers

Answer:

250÷ 40 = 6.25

6.25 x 15 = 94

A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of ​23$. Option B is a commission rate of ​10% on weekly sales. How much does need to sell this week to earn the same amount with the two​ options

Answers

Answer:

$9200

Step-by-step explanation:

Since he works 40 hours a week and would make $23 for every hour with option A, we just multiply 40 by 23

40 x 23 = 920

This means 10% of the sales will need to equal to 920

Let x = sales

We multiply x by 0.1 to get 920

0.1x = 920

Divide both sides by 0.1

0.1x/0.1 = 920/0.1

x = 9200

Aiko spends 2.5 hours baking croissants for a community center bake sale. She bakes the 90 croissants in 5 batches. Determine the number of batches Aiko baked per hour
Determine what is the independent and dependent.

Answers

Answer:

5/2.5 is 2. Airó makes 2 batches in an hour.

Step-by-step explanation:

i think..

Solve for the value of y.

Answers

Answer:

y = 4(degrees)

Step-by-step explanation:

90-60 = 30

30 = 8y-2

32 = 8y

4 = y

lets check

32-2 = 30+60 = 90

correct :D

Need help asap due tmr !!!

Answers

here! not sure if it's right but i'm pretty confident. boom

Answer:

Inequality: 6 ≤ n+15

Solution: -9≤n

209
У.
Х
120°
y = [ ? 1°

Answers

Answer:

140

Step-by-step explanation:

one exterior = the sum of two interior

the diffrence between 4 and 1 on number line

Answers

Answer:

What is 3

Step-by-step explanation:

4 - 1 = 3.

Match the hotspots to their correct answers

Answers

[tex]\sf \large \boldsymbol {} 1) \ (4^0)^6= 4^{0\cdot 6}= 4^0\neq 4^6 \ False \\\\\\ 2) \ \dfrac{3^8}{3^{-2}} =3^{8-(-2)}=3^{8+2}=3^{10} \ \ True \\\\\\ 3) \ 2^{-5}\cdot 2^3=2^{-5+3}=2^{-2}=\dfrac{1}{2^2} \ \ True \\\\\\ 4) \ 6^4\cdot 3^4=(6\cdot 3)^4=18^4\neq 18^8 \ \ False[/tex]

Answer:

false, true, true, false

Step-by-step explanation:

(4^0)^6=1 is not equal to 4^6=4096

3^8/3^-2=59049 is equal to 3^10=59049

2^-5*2^3=0.25 is equal to 1/2^2=1/4=0.25

6^4*3^4=104976 is not equal to 18^8=11019960576

hope this helps!

What us 2 1/3 divided by 1 1/2 in mixed number form?

Answers

33/14 =2 5/14

Step-by-step explanation:

have a great day

Evaluate lc^2 + b²1, given a = 5. b= -3, and c= -2.

Options
13
6
2
10​

Answers

Answer:

The choice 13

Step-by-step explanation:

[tex]| {c}^{2} + {b}^{2} | \\ | {( - 2)}^{2} + {( - 3)}^{2} | \\ |4 + 9| = 13[/tex]

I hope I helped you^_^

WILL MARK BRAINLIEST, NO FAKE ANSWERS
Design 2 rectangular pizzas both with an area of 64 square inches but with different perimeters

Answers

Answer:

rectangle one:

height = 2

width = 32

rectangle 2 :

height = 4

width = 16

Step-by-step explanation:

If you like squid game, trust me :) lol

Need help, look at attachment

Answers

Answer:

angle 1 and angle 8 are co exterior angles. so, their sum is equal to 180°.

28°+ angle 8 =180°

angle 8=180°-28°

angle 8=152°

Select all of the points which satisfy the linear inequality below.

-2x + 3y > 4

Answers

Answer:

x  <  − 2 +  3 y/ 2 linear inequality for x

y > 4/3 + 2x/3 linear inequality for y

Step-by-step explanation:

The point which satisfies the linear inequality is (-1,5) so option (C) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

-2x + 3y > 4

Put (-1,5) into the above inequality,

-2(-1) + 3(5) > 4

2 + 15 > 4

17 > 4 (True) thus  (-1,5) will satisfy the inequality.

The rest points are not satisfying the inequality.

Hence " The point which satisfies the linear inequality is (-1,5)".

For more about inequality,

brainly.com/question/20383699

#SPJ2

The complete question is attached below,

what is the image of the point (0,-1) after a rotation of 180° counterclockwise​

Answers

(0,1) the rule is (-x,-y) so just plug it in

Find the measure of the indicated angle in each triangle, to the nearest degree.

Answers

Answer:

Y = 98

C = 104.8

Step-by-step explanation:

All triangle are 180 degrees

A.

17 + 65 = 82

180 - 82 = 98

B.

73 + 2.2 = 75.2

180 - 75.2 = 104.8

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