solve -7x^2+x+9=-6x quadratic formula

Answers

Answer 1

Answer:

[tex]-7x^2+x+9=-6x[/tex]

[tex]-7x^2+x+9+6x=-6x+6x[/tex]

[tex]-7x^2+7x+9=0[/tex]

[tex]quadratic\: formula[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-7\right)\cdot \:9}}{2\left(-7\right)}[/tex]

[tex]\sqrt{-7^{2} -4(-7)\times9} =\sqrt{301}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{301}}{2\left(-7\right)}[/tex]

[tex]\frac{-7+\sqrt{301}}{2\left(-7\right)}[/tex]

[tex]=\frac{-7+\sqrt{301}}{-2\cdot \:7}[/tex]

[tex]=\frac{-7+\sqrt{301}}{-14}[/tex]

[tex]\frac{-7-\sqrt{301}}{2\left(-7\right)}[/tex]

[tex]=\frac{-7-\sqrt{301}}{-2\cdot \:7}[/tex]

[tex]=\frac{-7-\sqrt{301}}{-14}[/tex]

[tex]answer=\frac{7+\sqrt{301}}{14}[/tex]

[tex]OAmalOHopeO[/tex]


Related Questions

Calculate : y
y = 20
y = 10
y = 15
y = 144​
choose the only correct answer

Answers

Answer : y = 20 ( Use Pytago’ Theorem )

A boat travels 160 miles per hour. What is the speed in miles per minute?

Answers

We divide both sides by 160. Therefore, the boat will travel about 0.53 miles in 1 minute.
1hour =60min

Speed in mph=160mph

Now

[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]

[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]

[tex]\\ \sf\longmapsto 2.6miles/min[/tex]

the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?

Answers

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

Which is the graph of y = log4(x+3)?

Answers

Answer:

Step-by-step explanation:

Answer:

Option c points at (-2,0) (-1, 0.5) and (1,1)

Step-by-step explanation:

Classify the polynomial and determine its degree.



The polynomial –2x2 – x + 2 is a
with a degree of
.

Answers

Answer:

Trinomial, 2

Step-by-step explanation:

Answer:

Trinomial, 2

Step-by-step explanation:

Can someone plz help with this problem

Answers

Answer:

I think the answer is 2

Step-by-step explanation:

Between 30 and 60 is double b so just divide 4 by 2.

A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.​

Answers

Answer:

(i) 3.438159 kg

(ii) 5.336803297 cm

Step-by-step explanation:

the external diameter = 12 cm, => the radius = 6 cm.

the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.

I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).

the material is in the volume of external sphere minus internal (empty) sphere.

the volume of a sphere is

4/3 × pi×r³

V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³

V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³

V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³

1cm³ = 5.4g

636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg

for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.

636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152

152 = r³

r = 5.336803297

PLEASE HELP
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function given below.

Answers

Answer:

[tex]f^{-1}[/tex](x) = 0.5x + 2

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 2x - 4 ( add 4 to both sides )

y + 4 = 2x ( divide both sides by 2 )

[tex]\frac{y+4}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2

Answer: F -1(x)  = 0.5 x + 2

Step-by-step explanation:

Just took the test on edmentum and got a 100

Trigonometry help needed
help would be appreciated ​

Answers

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2

Answers

supplementary angles = the sum of those angles will equal to 180 degrees

so,

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

angle 1 -> 2x + 3 = 70 + 3 = 73

angle 2 -> 3x + 2 = 105 + 2 = 107

if you want to check, 107 + 73 = 180

hope it helps :)

The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student

Answers

Answer:

4.107

Step-by-step explanation:

115/28=4.107

Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point

Answers

The answer is D. (4,14) because both lines pass through this point

Explanation: You can insert (4,14) in either equation and so if you insert it into y= x+10 you get 14=4+10 which shows the x combined with 10 equals the y so it’s correct and if you plotted both lines on the graph both lines would travel through this point because it is a solution for both lines.

Is this a function or no?

Answers

Function

It is a function

7.
Find the number of real number solutions for the equation. x2 – 18 = 0

A. cannot be determined
B. 0
C. 1
D. 2

Answers

C. 2

The solutions are sqrt(18) and -sqrt(18)

Total rs 5000 amount shared between sunil and raj in ratio 3:2

Answers

Answer:

Sunil = 3000 and raj = 2000

Step-by-step explanation:

there are total 5000 and if it will be divided into 5 parts( total of ratio ) then 3 will be equal to 3000 and 2 equal to 2000

An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?

Answers

Step-by-step explanation:

Against the wind, the wind works against the speed. With the wind, the wind aids the speed.

4(p - w) = 2416

4(p + w) = 2896

p - w = 604

p + w = 724

2p = 1328

p = 664 mph

664 + w = 724

w = 60 mph

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

Plz help me to find the answer to 4th question..plz help me

Answers

Answer:

I got that AE^2 = 8EC^2

Step-by-step explanation:

Here's what I did. I probably did this wrong, but this might give you an idea on how to solve it.

First, create equations:

AB = BC = AC = DE = 2EC

BD= BC = EC

Then, I used pythagorean theorem (since AD is perpendicular to BC): AD^2 + DE^2 = AE^2

Substitute: (2EC)^2 + (2EC)^2 = AE^2

Simplify: 4EC^2 + 4EC^2 = AE^2

AE^2 = 8CE^2

What is the simplest form of 20 over 315?

Answers

Answer:

4/63

Step-by-step explanation:

20/315 = (20÷5)/(315÷5)

Parallel to the line y=-4x-1 and through the origin.

Answers

Answer:

y=-4x

Step-by-step explanation:

Parallel to the line, slope is - 4. The equation of line is y=-4x

What is the value of x?
26°

O
x
= [?]

Answers

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

please click thanks and mark brainliest if you like :)

If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198

Answers

Answer:

13 is answer

Step-by-step explanation:

hope it helps

can some one help me on this one its confusing ill give brainly when right!!!

Answers

For this problem you just have to substitute the variables into their spots:
t - r when t = -7 and r = -4
-7 + 4 = -3

What is the constant of proportionality in the equation y=2.5x

Answers

Answer:

2.5

Step-by-step explanation:

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

Mathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14

Answers

The length of each side is of: 13 cm, 13 cm and 6 cm.The perimeter is of 32 cm

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

If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.

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

Value of n:

The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:

[tex]5n - 17 = 2n + 1[/tex]

[tex]5n - 2n = 1 + 17[/tex]

[tex]3n = 18[/tex]

[tex]n = \frac{18}{3}[/tex]

[tex]n = 6[/tex]

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

Lengths:

The lengths are given as functions of n, since n = 6:

[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]

The length of the sides are: 13 cm, 13 cm and 6 cm.

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

Perimeter:

The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.

A similar question is given at https://brainly.com/question/6139098

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

use the ratio of a 45-45-90 triangle to solve for the variables​

Answers

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?

Answers

Answer:

Totally number of coaches needed is 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75

Answers

The average cost of one exercise book is N60
He was given N5 change which means he spent a total of N420
Therefore,he used N420 to buy 7 books,the average cost of one book= 420/7=60.Thanks
Other Questions
Last one thanks to whoever helps Which number sentence is true? A. 12 < |-12| B. |-12| < |-48| C. |-48| < |48| D. |12| > |-48| What is the purpose of a standard drink measurement? h O It allows you to determine if you're getting what you paid for O it is a consistent way of measuring the amount of alcohol in a drink It allows you to determine what is inside of a mixed drink O It is a measurement to determine if you are legally drunk X Clear Selection Can someone answer this its for my notes the bottom says Battle of San Jacinto river Suppose your Unit Quiz grades have been: 85%, 80%, 96%, 72%, 78%, 85% and 92%a) What is your average/mean score?b) What is the median score?c) What is the mode score?d) Why is the mean lower than the median? e) What will your mean be if you get a perfect score of 100% on your next quiz? An Internet company reported that its earnings will be less than the 24 cents per share that was predicted. Write an inequality showing the possible earnings per share. Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer. The passage suggests that the space probes sent to Venus in the 1960s Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct? sin 0= 20/29. Find tan 0. Please Answer This!!! I NEEEDDD TOOO KNOWWWWW ANSWER!!! woru.5. What was the Industrial Revolution?| c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number. The value of 4(10) -2 is Determine whether each of the following products is rational or irrational.ExpressionRationalIrrational77-18-7,4952./II Which value is the closet approximation of the square root of 27 A 4.5B 5C 5.5D 5.9 what event most directly led to secession and the forming of the confederacy? the smell spreads immediately after you burn agarbatti in this example what is your condition about intermolecular force Past tense of speed 3. Create and write a real-world situation that could be represented by the equation below:5x + 15 = 45