3 times a number is 54 less than the square of that number. Find the positive solution

Answers

Answer 1
3x = x^2 - 54

Subtract 3x.

x^2 - 3x - 54

Factor.

(x - 9) (x + 6)

Solve.

x - 9 = 0

Add 9.

x = 9

Solve.

x + 6 = 0

Subtract 6.

x = -6

Positive solution -
x = 9

Related Questions

LLLLLLLLLLLLLLLLLLLLLLLLLLLL

Answers

1) The ratio of red to green apples is 9:4

2) The ratio of all apples to red apples is 13:9

Answer:

9:4

13:9

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:what do u need help on

Step-by-step explanation:

Answer:

it’s 4

Step-by-step explanation:

find the initial amount a and the decay factor b in the exponential function y=5.05^x

Answers

Answer:

[tex]a = 5[/tex]

[tex]b = .05[/tex]

Step-by-step explanation:

Given

[tex]y = 5\ .05^x[/tex]

Required

Determine a and b

An exponential function is represented as:

[tex]y =ab^x[/tex]

By comparing:[tex]y =ab^x[/tex] with [tex]y = 5\ .05^x[/tex]

[tex]a = 5[/tex]

[tex]b = .05[/tex]

Please help me I’ll mark you as whatever it’s calls brainlest or whatever just help please

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2. \ y= -2x+17}}[/tex]

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is a point the line passes through.

For this problem, the slope is -2 and the point is (5,7). Therefore:

[tex]m= -2 \\x_1= 5\\y_1= 7[/tex]

Substitute the values into the formula.

[tex]y-7= -2(x-5)[/tex]

We want to solve for y, because the standard form of a line is y=mx+b (where m is the slope and b is the y-intercept).

Distribute the -2.

[tex]y-7= (-2*x ) + (-2*-5)[/tex]

[tex]y-7= -2x+10[/tex]

7 is being subtracted from y. The inverse of subtraction is addition, so add 7 to both sides.

[tex]y-7+7=-2x+10+7\\y= -2x+17[/tex]

The equation of the line is y= -2x+17

Which of the following functions is a polynomial?
Ο Α.
f(x) = x
B
g(x) = log2 (x)
Od
r(x) = 2
ор
s(x) = (x + 21

Answers

Step-by-step explanation:

expression for...37 more than the quotient of 24 and 8 ​

Answers

Answer:

37 more than the quotient of 24 and 8 ​= 24 ÷ 8 + 37

Step-by-step explanation:

24 ÷ 8 + 37

Order of Operations

3 + 37

Add

= 40

The expression is 24 ÷ 8 + 37

please help asappp worth 20

Answers

Answer:

98

Step-by-step explanation:

angles 1 and 2 are congruent, the lines in each side of the shape prove this.

another way to solve if you are not sure is to subtract all of the numbers from 360. all quadrilaterals equal 360 degrees, so if you subtract each of the three angles from 360, you will be left with the last angle.

360-120-44-98=98

Answer: 98
Hope this helps :)

si un angulo mide t6 cual es su medida en grados​

Answers

Step-by-step explanation:

No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?

What key features will all continuous exponential functions have?

Answers

Answer:

The graph passes through the point (0,1)The domain is all real numbers.The range is y>0.The graph is increasing.The graph is asymptotic to the x-axis as x approaches negative infinity.The graph increases without bound as x approaches positive infinity.The graph is continuous.

(1 point) An innovative rural public health program is reducing infant mortality in a certain West African country. Pretend the program in Senegal has been reducing infant mortality at a rate 7.3 % per year. How long will it take for infant mortality to be reduced by 33 %

Answers

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

[tex]X - 7.3[/tex] % of [tex]X[/tex]

[tex]X -0.073 X\\0.927X[/tex]

As we know

[tex]P = P_0 * e^{rt}[/tex]

Substituting the given values we get -

[tex]\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\[/tex]

Taking log on both sides we get -

[tex]-0.20273 = -0.33 * t\\t = 1.627[/tex]

You can form a general expression for resultant reduction percentage after t years. Then equate it with 33% to get the value of t

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

How to find a general expression for resultant reduction percentage after t years?

The rate of decrement for infant mortality rate is 7.3% per year.

Let the mortality rate in the start be [tex]r[/tex]

Then after 1 year it becomes

[tex]r - \dfrac{r}{100} \times 7.5 = r(1-\frac{7.5}{100}) = r_1 \text{\: (say)}[/tex]

After 1 more year, we will have:

[tex]r_1 -> r_1(1 - \frac{7.5}{100}) = r(1-\frac{7.5}{100})(1-\frac{7.5}{100}) = r(1-\frac{7.5}{100}) ^2 = r_2 \text{\: (say)}[/tex]

Thus, after t years, we will have:

[tex]r_t = r(1-\frac{7.5}{100})^t[/tex]

Simplifying it, we get:

[tex]r_t = r(1 - 0.075)^t = r(0.925)^t[/tex]

The percent of decrement can be calculated by:

[tex]p = \dfrac{\text{old rate - new rate}}{\text{old rate}} \times 100[/tex]

Thus,

the percent of decrement after t years will be

[tex]p = \dfrac{r - r_t}{r} \times 100 = \dfrac{r(1- (0.925)^t)}{r} \times 100 = 100(1-0.925^t)\\\\p = 100(1-0.925^t)[/tex]

We need the time after which the infant mortality rate would be reduced by 33%, thus, p = 33%

or

[tex]p = 33\\p = 100(1-0.925^t) = 33\\1 -0.925^t = \dfrac{33}{100}\\t = log_{0.925}(1 - \dfrac{33}{100}) \approx 3.3525[/tex]

Thus, after approx 3.35 years, the mortality rate would decrease by 33%

Thus,

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

Learn more about percentage here;

https://brainly.com/question/11549320

12 +(-4) =
........................

Answers

Answer:

8

Step-by-step explanation:

Solve the inequality as shown in the picture

Answers

h>24 is the answer











okaya

c=3
c2 + 5








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

Answers

Answer:

3x2+5=11

Step-by-step explanation:

how to convert 7,293 a into a fraction

Answers

Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

How did you compute difference of dollar amounts that were not whole numbers?
The cost of 2 pounds of beef is $11.78. It was on sale for $8.99. How much was the savings?
Select the correct solution from below. Explain below the strategy you used to solve this problem.

Answers

Answer:

$2.79

Step-by-step explanation:

$11.78

- $8.99

=$2.79

The ratio of pharmacy technicians on duty at the hospital during for the day vs. night shifts is 32:19. 1. Express as a percentage how many pharmacy technician staff work the night shift. Round your final answer as a percentage rounded to two decimal places. Explain the answer

Answers

Answer:

37.38

Step-by-step explanation:

Remark

The ratio tells you how they are divided between night and day.

In other words night/ day = 19/32

That's not what you want.

What you want is night over total.

Total

Total = night + day = 19.1 + 32 = 51.1

Night Percent

Night% = Night * 100 / Total

Night% = 19.1 * 100 / 32

Night% = 37.38 %

Here, we are required to express ratio as a percentage

The percentage of pharmacy technician during the night is 37.25%

pharmacy technician during the day = 32

pharmacy technician during the night = 19

Total ratio = 32 + 19

= 51

percentage of pharmacy technician during the night = pharmacy technician during the night / Total ratio × 100

= [tex] \frac{19}{51} \times 100[/tex]

= 0.3725490196078 × 100

= 37.254901960784%

Approximately

37.25% to two decimal place

This means 37.25% of pharmacy technician work during the night

https://brainly.in/question/40112466

The area of the triangle below is 33.62 square feet. What is the length of the base?

Answers

Answer:

4.1

Step-by-step explanation:

Which of these IS a Pythagorean triple? 11,60,62 6,8,15 5,11,12 18,80,82

Answers

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+ 80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

Which of these triangles is definitely not congruent to any of the others?

Answers

Answer:

3

Step-by-step explanation:

why is there no option fr 3???

A bouncing tennis ball starts at a height of 6 feet off of the ground, this is 72 inches off of the ground. Each time it bounces it comes back up to 2/3 of the height. Which answer choice shows the correct explicit equation in inches?

Answers

Answer:

Step-by-step explanation:

[tex]h=72\left(\frac{2}{3}\right)^{(n-1)}[/tex]

Number of
Popsicles
Total Cost of
Popsicles
2
6
4
12
6
18
8
24
What is the Constant Rate of Change?

Answers

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

is this table proportional?
explain

Answers

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.

Hope it helps!

6x - 8y = 12 and 5x + 8y = -1 Solve using elimination​

Answers

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

I need help plz plz plz plz plz plz plz plz plz plz

Answers

Answer:

Variable: t

Constant: 18

Step-by-step explanation:

A constant is the number that is known, the variable is unknown. A variable is usually denoted with a letter and a constant  with digits. I hope this helps  :0)

Evaluate the limit to the right

- does not exist
- infinity
- C
- negative infinity
- none of these

Answers

Negative infinity
Shield smspsosbdjfif. Dishab s did a so f turns.
-infinity kffkkggjnvghjnvgjjbbjn

Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Answers

Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Step-by-step explanation:

50 points!! I will mark brainliest to the correct answer :) please don’t put random answers... they will be reported. Thanks!

Answers

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔

The measure of the angles of ABC are given by the expression in the table.

The picture of the question is above^^
(Please give answer with examples)

Answers

Tyyy you said that I was just a little bit

Step-by-step explanation:

Prolly not the correct answer but oh well

Good luck

After picking up a friend who lives 10 miles away and leaving for a trip, Anna records her distance from home over time. The values are shown in the table below. Find her average speed over the first 6 hours in miles per hour (do not include units in your answer).

Answers

Answer: 47

Step-by-step explanation:

Δy/Δx=292-10/6-0=282/6=47

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Please explain how you got it.

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

By the Triangle Proportionality Theorem:

[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]

By cross-multiplication:

[tex]\displaystyle 12(x+1)=15(x)[/tex]

Distribute:

[tex]12x+12=15x[/tex]

Subtract 12x from both sides:

[tex]12=3x[/tex]

Hence:

[tex]x=4[/tex]

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **

We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]

[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

That means our answer, for the value of x, is 4

** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.

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