Solve for x in the equation x squared 14 x 17 = negative 96.

Answers

Answer 1

The value of x in the given quadratic equation is determined as -7 ± 8i.

Solution of the quadratic equation

The solutiion to the linear equation is determined as follows;

x² + 14x + 17 = -96

x² + 14x + 17 + 96 = 0

x² + 14x + 113 = 0

solve the equation using formula method;

a = 1, b = 14, c = 113

[tex]x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i[/tex]

Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.

Learn more about quadratic equation here: https://brainly.com/question/1214333

Answer 2

Answer:

-7 ± 8i.

Step-by-step explanation:

I took the test


Related Questions

Which angle is coterminal with 140°?​

Answers

Answer:

A

Step-by-step explanation:

Every 360 degrees (full circle) that you add or subtract from 140 is coterminal

140 + 360 = 500

please help asap tysm <333

Answers

Answer:

32 yards and 64 feet

Step-by-step explanation:

just multiply them by 32

What’s the percentile rank of a score of 64?

Answers

Answer: 64%

Step-by-step explanation:

The score you have entered means that the individual who took the test is at the sixty-fourth percentile – their percentile rank is 64%. This means that the student had a test score greater than or equal to 64% of the reference population. Conversely, 36% of students scored equal to or higher than the individual tested.

What can you conclude from her work? check all that apply. the function is continuous. time represents the dependent variable. the scenario is represented by a linear function, since the rate of change is constant. as the amount of time continues, there are fewer cups of juice poured per hour. for every additional hour, 53 cups of juice are poured.

Answers

Based on Rachel's work, we can deduce and conclude on the following: options A, C and E.

The rate of change of time per juice.

Based on Rachel's work shown in the image attached below, we can deduce and conclude on the following:

The function is continuous because for every hour given, there is always a value for the cups of juice. Thus, its graph would be linear and have a straight line.

Also, the scenario is represented by a linear function because the rate of change is constant. Lastly, for every additional hour, 53 cups of juice are poured.

In conclusion, time represents the independent variable while number of cup of juice is an independent variable.

Read more on functions here: https://brainly.com/question/4246058

Find the SURFACE AREA of the shape below. Do NOT label your answer! *

Answers

Answer:

The surface area of the triangular prism is 142.919 m^2.

Step-by-step explanation:

just answer this quistion

Answers

Answer:

5

Step-by-step explanation:

ty

]

On a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded.
Which equation represents an inequality in the system of inequalities shown in the graph?





Which point is a solution to the system?

Answers

#1

(-1,0)(0,2)

Slope:-

m=2/0+1=2/1=2

Equation in point slope form

y=2(x+1)y=2x+2

Shading done to right means towards origin

2(0)+2=2>0

So

shading is towards origin

The inequality is

y<2x+2

Dashed line given so we remain it <

#2

(0,-1)(1,1)

Slope:-

m=1+1/1=2

Equation in point slope form

y+1=2xy=2x-1

Put (0,0)

2(0)-1=-1<0

The inequality is(solid line given)

y≥2x-1

Graph attached

Answer:

c and b was right for me

Step-by-step explanation:

The total cost of attending a state university is $19,700 for the first year.
A student’s grandparents will pay half of this cost.
An athletic scholarship will pay another $5,000.
Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?
A.$404.17

Answers

Answer:

$404.17

Step-by-step explanation:

(19700 - 19700/2 -5000) / 12 =

Find the value of x. Round to the nearest tenth

Answers

Answer:

x is approximately 13.7

Step-by-step explanation:

tan(58°) = 22/x

x tan(58°) = 22

x = 13.7

A company uses 1/4 of a barrel of chocolate chips to make each batch of granola bars. In one day, the company uses 3 1/2 barrels of chocolate chips to make granola bars. How many batches of granola bars did the company make in the day? Can anyone show me the method.

Answers

Answer:

14 times.

Step-by-step explanation:

It is how many times 1/4 go in 3 1/2.

3 1/2 as an improper fraction is 7/2.

To make them have the same denominator, we have to change 7/2.

7 x 2 = 14

2 x 2 = 4

So, how many times does 1/4 go in 14/4?

14 times.

Start off from 2 to 5

Answers

Answer:

2) 1/6 : split in half horizontally and into thirds like a fence (vertically)

3) 1/2 : draw a line of symmetry down the middle

4) 1/2 : draw a line of symmetry down the middle

5) 1/6 : slice it like a pizza <3

How many pounds are in 4 tons

Answers

Answer:

8000 pounds are in 4 tons

Step-by-step explanation:

hope it helps loves x :))

Answer:

8000 Pounds

Step-by-step explanation:

There are 8,000 pounds in 4 tons.

1 ton = 2,000 pounds.

Therefore, you multiply 4 x 2,000. Your answer is 8,000 pounds.

Consider the nuclear equation below. superscript 239 subscript 94 upper p u right arrow variable x plus superscript 4 subscript 2 upper h e. what is x? superscript 235 subscript 96 upper c m. superscript 243 subscript 92 upper u. superscript 235 subscript 92 upper u. superscript 243 subscript 96 upper c m.

Answers

Based on the calculations, the chemical element (X) in this nuclear equation is equal to ²³⁵U₉₂.

What is an alpha decay?

An alpha decay refers to a type of nuclear reaction in which the atomic nucleus of a radioactive element emits an alpha particle (atom of helium), thereby, producing chemical elements with a different atomic nucleus.

In this exercise, we are given the following nuclear equation with an alpha decay:

²³⁹Pu₉₄  -----> X + ⁴He₂

For the superscript, we have:

239 - 4 = 235.

For the subscript, we have:

94 - 2 = 92.

Therefore, the chemical element (X) is equal to ²³⁵U₉₂.

Read more on alpha decay here: https://brainly.com/question/23303931

Answer:

its c

Step-by-step explanation:

trust

Find the DIAMETER of a circle for the circumference given.
circumference = 81 km
A) 4 km B) 10 km
C) 12 km D) 8 km

Answers

Answer:

25.796... km

Step-by-step explanation:

We are given that:

Circumference: 81 km

Formula of circumference:

2πr or πd

Thus, we can rewrite the circumference as:

2πr = πd = 81 km

Since we are asked to determine the diameter, it is recommended to use the formula (πd). Therefore,

πd = 81 km

Divide π both sides to isolate the diameter:

⇒ πd/π = 81 km/π ⇒ d = 81 km/π

Substitute π as 3.14 and simplify:

⇒ d = 81 km/3.14 ⇒ d = 25.796... km

Therefore, the diameter of the circle is 25.796... km.

What is the sum of the series (image below)

a. 1,830
b. 2,010
c. 5,400
d. 5,490

Answers

Answer:

d.  5490

Step-by-step explanation:

[tex]\begin{aligned}\displaystyle \sf \sum_{n=1}^{60} 3n & =3(1)+3(2)+3(3)+...+3(49)+3(50)\\ & = 3+6+9+...+147+150\end{aligned}[/tex]

Therefore, this is an arithmetic series with:

first term (a) = 3common difference (d) = 3

Sum of the first n terms of an arithmetic series:

[tex]S_n=\dfrac12n[2a+(n-1)d][/tex]

Therefore, the sum of the first 60 terms:

[tex]\begin{aligned}S_{60} &=\dfrac12(60)[2(3)+(60-1)3]\\ & =30[6+(59)3]\\ & = 30[6+177]\\ & = 30[183]\\ & = 5490 \end{aligned}[/tex]

Answer:

The answer is D) 5,490.

Step-by-step explanation:

From her eye, which stands 1.66 meters above the ground, Deondra measures the
angle of elevation to the top of a prominent skyscraper to be 70°. If she is standing at
a horizontal distance of 276 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest tenth of a meter if
necessary.

Answers

Answer:

760 m

Step-by-step explanation:

You can draw a right triangle.

For the angle of 70°, 276 m is the adjacent side.

The heigh of the building above 1.66 m is the opposite side.

tan x = opp/adj

tan 70° = h/276

h = tan 70° × 276

h = 758.3

h is the height above 1.66 m.

height = 758.3 m + 1.66 m = 759.96 m

Answer: 760 m

How many digits are there to the right of the decimal point if you write this number in standard form? How do you know? 5 x 10-4 + 6 x 10-7 + 5 x 10-9 + 9 ~ 10-11 + 4 10-13​

Answers

The correct answer should be 13

A piece of string is 120 centimeters long.

How long would the piece of string Measure in meters?

Picture:

Answers

Answer:

1.2 m

Step-by-step explanation:

1 meter = 100 cm

120-100(1m)=20

.2 meters would be 20 cm if we're going by 1 m = 100cm.

We already have 1 meter from 100 cm and then we add the .2 meters to the 1 meter. 1+.2= 1.2 m

Answer:

1.2

Hope this helped!

The average attendance at school for 5 days was 264. If the attendance on the 5th day was 256, calculate the average attendance for the first 4 day’s

Answers

Answer:

266

Step-by-step explanation:

Let the attendence of 5days be a,b,c,d,e

given,

(a+b+c+d+e)/5=264

a+b+c+d+256=264*5 [since 5th day=256]

(a+b+c+d+)/4=1(320-256)/4 [dividing both side by 4]

average attendence of 4 days =266

hi ..................................................

Answers

Answer:

Hi

Step-by-step explanation:

Answer:

Heyy!


Explanation:

I think you need friends or want someone to talk to..

please help with my math work !
due tomorrow morning

Answers

Answer:

[tex]y=2x+6[/tex]

Hope This Helps! :)

Esti belongs to a track team. She runs 85 yards at each of the team's 11 practices. How far does Esti run in the 11 practices?

Answers

Answer:

935 yards

Step-by-step explanation:

If she runs 85 yards at each practice you would multiply it by the amount of practices. So 85x11

simplify 1/6^3 divided by 1/36

Answers

Answer:

1/6

Step-by-step explanation:

To simplify the expression:

      1. Change the divisor into it's reciprocal

     2. Change the sign into a multiplication sign.

     3. Evaluate the product of those fractions.

     4. Simplify the fraction. (If possible)

Given expression:

[tex]\dfrac{1}{6^3 } \div \dfrac{1}{36}[/tex]

According to step 1, we need to convert the divisor of the expression into it's reciprocal.

[tex]\dfrac{1}{6^3 } \div \dfrac{36}{1}[/tex]

According to step 2, we need to change the division sign (÷) into a multiplication sign (×).

[tex]\implies \dfrac{1}{6^3 } \times \dfrac{36}{1}[/tex]

According to step 3, we need to determine the product of these fractions. This can be done by evaluating the exponent.

[tex]\implies \dfrac{1}{(6)(6)(6) } \times \dfrac{36}{1}[/tex]

[tex]\implies \dfrac{1}{216 } \times \dfrac{36}{1}[/tex]

Multiply the fractions as needed. [a/b × c/d = (a × c)/(b × d) = (ac)/(bd):

[tex]\implies \dfrac{36}{216 }[/tex]

According to step 4, (If possible), Simplify the product of 1/216 and 36. In this case, the product of 1/216 and 36 is 36/216. Since both are divisible by 6, we can divide the numerator and the denominator by 6 to simplify the fraction.

[tex]\implies \dfrac{36 \div 6}{216 \div 6 }[/tex]

[tex]\implies \dfrac{1}{6 }[/tex]

Therefore, the quotient of 1/6^3 and 1/36 is 1/6.

Learn more about this topic: https://brainly.com/question/22322495

Answer:

[tex]\large\textsf{$\dfrac{1}{6}$}[/tex]

Step-by-step explanation:

[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{36}$} \implies \normalsize \textsf{Convert 36 into a base with an exponent}[/tex]

[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{6^2}$} \implies \normalsize \textsf{Cross multiply}[/tex]

[tex]\large\textsf{$\dfrac{1 \cdot 6^2}{1 \cdot 6^3}$} \implies \normalsize \textsf{Multiply}[/tex]

[tex]\large\textsf{$\dfrac{6^2}{6^3}$}\implies \normalsize \textsf{Simplify using the Quotient of Powers Property: \normalsize\textsf{$\dfrac{x^m}{x^n} = x^{m-n}$}}[/tex]

[tex]\large\textsf6^{2-3}[/tex]

[tex]\large\textsf6^{-1} \implies \normalsize \textsf{Simplify using the Negative Exponent Property: \normalsize\textsf {${x^{-m}} = \dfrac{1}{x^m}$}}[/tex]

[tex]\large\textsf{$\dfrac{1}{6^1}$} \implies \normalsize \textsf{Simplify}[/tex]

[tex]\large\textsf{$\dfrac{1}{6}$} \implies \normalsize \textsf{Final answer}[/tex]

Hope this helps!

4 6 24 , 5 3 15, 2 3 6 ,4 2 8 what pattern do u see

Answers

The pattern is: if you multiply the first two numbers in each set you will get the last number in that set

What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?



​Enter your answer in the answer box below.

Answers

The unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters is[tex]9.[/tex]

What is triangle?

A triangle  can be referred to as a polygon with three edges and three vertices.

we can arrange length of one side of a unique triangle in 3 different ways.

Let x,y,z be the length of the three sides.

For triangles to be unique, length of one side can be arranged in 3 different ways.

Then, length of 6.5 cm can be at maximum three positions which is x,y,z.

The 2.5 cm lenght can appear to be at maximum three positions which is  x,y,z.This can as well be done for 6cm.

Therefore, total ways of making unique triangles[tex]= (3 + 3+ 3)= 9[/tex]

Learn more about unique triangle at;

https://brainly.com/question/23180570

Answer:

1

Step-by-step explanation:

Given:

What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?

Solve:

Define:

What is a unique triangle?

Only one way to create triangle.

Are congruent which means same.

As you may know the word "Unique"

which means : original and unique designs

So without even solving we can see that there is only "One" way .

Kavinsky

keep answering my questions for lots of points answer and you can win brainlist

Answers

Given :-

[tex]5 \frac{1}{4} + 1 \frac{3}{8} [/tex]

Lets solve it

[tex]5 \frac{1}{4} + 1 \frac{3}{8} [/tex]

[tex] \frac{21}{4} + \frac{11}{8} [/tex]

Taking the LCM of both denominator which is 8

[tex] \frac{42 + 11}{8} [/tex]

[tex] \frac{53}{8} [/tex]

Hey ! there

Answer:

[tex] \bold{ 6 \dfrac{5}{8} } \sf{\: is \: the \: answer}[/tex]

Step-by-step explanation:

In this question we are given with two whole fraction . And we are asked to simplify them by adding .

Solution : -

Step 1 : Converting the fractions into improper fraction :

[tex]\dashrightarrow \: \qquad \: \dfrac{21}{4} + \dfrac{11}{8} [/tex]

Step 2 : We know that L.C.M of 4 and 8 is 8. So,

[tex]\dashrightarrow \: \qquad \: \dfrac{42 + 11}{8} [/tex]

Step 3 : Adding 42and 11 :

[tex]\dashrightarrow \: \qquad \: \dfrac{53}{8} [/tex]

Step 4 : Converting it in form of whole fraction :

[tex]\dashrightarrow \: \qquad \blue{\underline{\boxed{\frak{ \:6 \dfrac{5}{8} }}}} \quad\bigstar[/tex]

Therefore , 6 whole 5/8 is the correct answer .

#Keep Learning

(I need help rn pls )

Mr. Posada graphed the function that relates the cost of an overnight trip to the number of children attending as shown below.


Use the words increasing or decreasing and linear or nonlinear to describe the graph explain ur answer

Answers

Answer:

The graph is decreasing in a non linear form, this is shown because from the 0 value to the 12 value on the x axis the y value decreases from 4000 to less than 400( graph going downwards) and its non linear because the graph does not form a straight line

Problem 2 Six different jobs need to be done today at the restaurant where you work. You have a pool of nine available workers. If you can assign only one worker to each job and no more than one job to a worker, how many different worker/job assignments are possible

Answers

Answer:   60480

========================================================

Explanation:

The order matters because the jobs are different. This means we'll use a permutation.

We have n = 9 workers to pick from and r = 6 jobs to fill.

Plug those values into the nPr permutation formula.

[tex]n P r = \frac{n!}{ (n-r)! }\\\\9 P 6 = \frac{9!}{ (9-6)! }\\\\9 P 6 = \frac{9!}{ 3! }\\\\9 P 6 = \frac{9*8*7*6*5*4*3*2*1}{ 3*2*1 }\\\\9 P 6 = 9*8*7*6*5*4 \ \ \text{.... Note: The 3*2*1 cancels}\\\\9 P 6 = 60480\\\\[/tex]

There are 60480 ways to assign the 9 workers to the 6 different jobs where order matters.

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

Another approach:

Label the 6 jobs as A,B,C,D,E,F

For job A, we have 9 workers to pick from.

For job B, we have 8 workers to pick from. This is because it states that there is "no more than one job to a worker".

For job C, we have 7 workers to pick from. And so on. We have this countdown going on. We stop once we reach job F.

We end up with 9*8*7*6*5*4 = 60480 different permutations

The string "9*8*7*6*5*4" is found in the second to last step of the section above.

find the area of the square rug if its side is (3x+5) feet

Answers

Answer: 9X² + 30X + 225

Step-by-step explanation: Are if a square is the square of the length of a side

(3X + 5)² = ( 3X + 5)(3X + 5)

= 9X² +15X + 15X + 25

= 9X² + 30X + 25

Which expression represents the phrase below?
8 less than the product of 6 and a number, x
A. 8 - 6x
B.6x-8
C.(6+x)-8
D.8-(6+x)

Answers

Answer:

B

Step-by-step explanation:

The number is x and you want 6 of that, so that makes 6x

You want 8 less of this, so subtract 8

Therefore you get 6x - 8

Answer:

B

Step-by-step explanation:

8 less than the product of 6 and x gives the expression 6x-8.

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