One of the two solutions to the equation $5x^2 - 11x - 36 = 0$ is $x = 4$. What is the other solution?

Answers

Answer 1

the other solution is[tex]\frac{-9}{5}[/tex]

Answer:

Solution given:

[tex]5x^2 -11x-36=0[/tex]

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

[tex]5x^2 -(20-9)x-36=0[/tex]open bracket

[tex]5x^2 -20x+9x-36=0[/tex]

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=[tex]\frac{-9}{5}[/tex]

Step-by-step explanation:

Answer 2

Following are the calculation to the given equation:

Given:

[tex]\to 5x^2 - 11x - 36 = 0[/tex]

one solution:

[tex]x=4[/tex]

To find:

other solution=?

Solution:

[tex]\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\[/tex]

Therefore, another solution is "[tex]-\frac{9}{5}[/tex]".

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Related Questions

TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9

Answers

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

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At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?

Answers

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

༒Question༒


REFER TO ATTACHMENT


NONSENSE ANSWER WILL GET REPORT​

Answers

Ur answer sir :)

1) 6⁴

2) t²

3) b⁴

4) 5²× 7³

5) 2²× a²

6)a³× c⁴× d

I HOPE IT IS HELPFUL

Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125

Answers

Answer:

an = 60 x 1/5^n-1

Step-by-step explanation:

correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.

Pick the corrrect one form the dropdown

Answers

Answer:

easy

Step-by-step explanation:

Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point

x+y=5
x-1=y
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Answers

This is a simultaneous equation

Rearrange the second to give

x - y = 1

Add the two equations

(x + y) + (x - y) = 5 + 1

2x = 6
x=3

Substitute 3 into either equation

3 - 1 = y

y = 2

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Answers

Answer:

answer is 19............

order the numbers from least to greatest .

Answers

least to greatest

-4.5

-4

-3 1/2

-3

2.5

Answer:

-4.5, -4, -3 1/2, 2.5, 3

Step-by-step explanation:

The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.

Answers

Answer:

67!

Step-by-step explanation:

A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.

My numbers were 62+63+64+65+66+67=387

I hope this makes sense!

What is the area of a rectangle with side lengths of 5 meter and 3 meter?
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Answers

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

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Answers

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

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Answer:

192

Step-by-step explanation:

multiply by each side to find the answer. 4x2 is 8 and 8 x 24 is 192. Which ever order you multiply the numbers in you will always get 192. Hope this helps ^^

EASY 25 POINTS

If you get in incorrect I will not mark you brainliest.

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Answer:

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Answer:

whats the question mate?

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What is the equation of the line that passes through the point (-3,0) and has a
slope of ?

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Answer:y - 0 = 4/3(x + 3)

Step-by-step explanation:

Answer:

Answer:y - 0 = 4/3(x + 3)

Step-by-step explanation:

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

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Answer:

A Todays soup  will be less tomatoey

Step-by-step explanation:

The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
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Answers

Answer:

See below

Step-by-step explanation:

A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).

B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).

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Answer:

your answer is b 8/10 - 5/10

Step-by-step explanation:

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Discuss how to convert 15 in. to yd. (need ko po nganon)

Answers

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

Cell phone production engineers have noticed that among a group of 138 customers aged 14-23 who send more text messages tend to use a higher percentage of their phone’s memory.What are the explanatory variable and response variable for this relationship?

Explanatory variable: age of customer
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: age of customer
Explanatory variable: number of text messages sent
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
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Answers

Answer:

it is c my guy

Step-by-step explanation:

on edge2020

The explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used. The correct answer is (C)

What is the independent and dependent variable?

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

In this situation, the explanatory variable is the number of text messages sent, because it is believed to influence or "explain" the variation in the response variable, which is the percentage of phone memory used.

The explanatory variable is also sometimes called the independent variable, because it is the variable that is being manipulated or controlled in an experiment. The response variable is also sometimes called the dependent variable, because it is the variable that is believed to depend on the explanatory variable.

Therefore, in this problem, the explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used.

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Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km



A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
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Answers

Answer:

1) C = 105.8°

Step-by-step explanation:

help please anybody Mhm​

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Answer:

B

Step-by-step explanation:

Answer:

Your answer would be C

Step-by-step explanation:

Because its a ratio of integers with a nonzero denominator.

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Step-by-step explanation:

3x + 10 < 3

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x < -7/3 = -2.3333...

or

2x - 5 >= 5

2x >= 10

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x < -7/3 or x >= 5

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Answer:

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Step-by-step explanation:

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Answers

Answer:

around 1.36

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Answers

Step-by-step explanation:The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign, then the value and press enter. This will give us a decimal approximation of the square root.

4.
ind
home
Julio won a contest. His cash prize is given to him in the following way:
On the first day, Julio will receive $0.25.
For each successive day, the amount of money Julio receives doubles.
a. Write an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day.
b. How much money will Julio receive on the tenth day?

Answers

Julio will receive $ 128 on the tenth day.

Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:

0.25 x 2 ^ D = F 0.25 x 2 ^ 9 = F 0.25 x 512 = F 128 = F

Therefore, Julio will receive $ 128 on the tenth day.

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9+3x=18-6x find for x

Answers

Answer:

Hiya There!!!

_________________________

Isolate the variable by dividing each side by factors that don't contain the variable.

x =  1

_________________________

“The harder you fall, the heavier your heart; the heavier your heart, the stronger you climb; the stronger you climb, the higher your pedestal.”

― Criss Jami, Killosophy

_________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

it will be 1974

Step-by-step explanation:

2100*6/100

=126

Answer:

1997.08 pounds at the beginning of 6 years.

Step-by-step explanation:

If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.

1st year - 2100*.01 = 21  

2100-21 = 2079

2nd year - 2079*.01 = 20.79

2079 - 20.79 = 2058.21

3rd year - 2058.21*.01 = 20.58

2058.21-20.58 = 2037.63

4th year - 2037.63*.01 = 20.38

2037.63-20.38 = 2017.25

5th year - 2017.25*.01 = 20.17

2017.25 - 20.17 = 1997.08

6th year - at the beginning of the 6th year, it would be worth 1997.08.

At the end of the 6th year, it would be: 1997.08*.01 = 19.97.  1997.08-19.97 = 1977.11

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