Answer:
[tex]\huge\boxed{\bf\:x = 1}[/tex]
Step-by-step explanation:
[tex]x ^ { 3 } +6x-7=0[/tex]
By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.
[tex](+/-)7, (+/-)1[/tex]
Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..
[tex]x = 1[/tex]
This means that 1 factor of the above equation will be:
[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]
So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:
[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]
We now have a quadratic equation with us. By using the biquadratic formula: -b ± √b² - 4ac / 2a, where,
a = 1b = 1 c = 7So,
[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]
Here, we can see that,
[tex]x\in \emptyset[/tex]
Then, by listing out the solutions that we found, the value of x will be:
[tex]\boxed{\bf\:x = 1}[/tex]
[tex]\rule{150}{2}[/tex]
Answer:(x-1) *(x^2 + x + 7)
Step-by-step explanation:
1. rewrite
2. factor the expression
Find all real solutions Tan pi/3 x-3=0
Step-by-step explanation:
If the question is like this,
[tex] \tan( \frac{\pi}{3}x - 3 ) = 0[/tex]
We take the arc tan of both sides.
[tex] \tan( - 1) ( \tan( \frac{\pi}{3}x - 3 ) = \tan {}^{ - 1} ( {}^{ }0 ) [/tex]
[tex] \frac{\pi}{3} x - 3 = 0[/tex]
[tex] \frac{\pi}{3} x = 3[/tex]
[tex] = \frac{9}{\pi} [/tex]
Since the period of a tan function, is pi, we divide pi by pi/3 since pi/3is the coeffeicent of the x variable
[tex] \frac{\pi}{ \frac{\pi}{3} } = 3[/tex]
So the answer is
[tex] \frac{9}{\pi} + 3n[/tex]
If this the question,
[tex] \tan( \frac{\pi}{3} x) = 3[/tex]
[tex] \frac{\pi}{3} x = 1.249[/tex]
[tex]x = \frac{3.747}{\pi} [/tex]
The period is once again 3 so we have
[tex] \frac{3.747}{\pi} + 3n[/tex]
where n is a interger.
if RST is an equilateral triangle, find x and the measure of each side.
S 12x - 22 R 10x - 6 T 7x + 18
O X=8
O X=6
O X=4
O X=2
Answer:
x = 8
Step-by-step explanation:
In equilateral, the length of the sides are equal.
12x - 22 = 10x - 6
Add 22 to both the sides
12x = 10x - 6 + 22
12x = 10x + 16
Subtract '10x' from both sides,
12x -10x = 16
2x = 16
Divide both sides by 2
x = 16/2
x = 8
Solve the innequality
22-x>14
also graph on number line
Answer:
x < 8
*View attached image for the inequality on a number line*
Step-by-step explanation:
22 - x > 14
-22 - 22
-x > -8
/-1 /-1
x < 8
Hope this helps!
To find the next number in the sequence: 7, 10, 13, 16,
you would need to do which of the following?
Divide 16 by 3
add 13 to 16
Multiply 16 by 3
add 3 to 16
Answer:
The answer is add 3 to 16
Step-by-step explanation:
Because if you notice the process by which the number is following from the beginning, we notice that 3 is being added to each number and by this we get the hint that the next number,3 will be added to it automatically because it's a process.
Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $ 5.00 per unit. (Note: One unit = one thousand streams) Model the profit for the total number of streams by answering the questions below:
1. Use the cost for distribution to build the y-intercept. What is the y-intercept?
Hint: the y-intercept is a point on the y axis, so the answer should be an ordered pair
(x,y). Keep in mind that money is being spent, and therefore must be deducted from the profit. If the y-intercept is incorrect, all related numbers will be incorrect.)
2. Use the payment per unit to build the slope. What is the slope?
Equation in slope intercept form
y=mx+by=5x+50Slope:-m=5
Y intercept=b=50
The y-intercept of the function is (0, 50) and the slope of the function is 5
How to calculate the slope and y-intercept of a function?Slope is defined as the rate of change of function. Given the following parameters
Fixed price = $50
If the streaming services pay $ 5.00 per unit, then the rate of change is $5
The required profit for the total number of streams is given as:
P(x) = 50 + 5x
1) The y-intercept is the point where the value of x is zero
P(x) = 50 + 5x
P(0) = 50 + 5(0)
P(0) = 50
Hence the y-intercept of the function is (0, 50)
For the slope
mx = 5x
m = 5
Hence the slope of the function is 5
Learn more on equation of a line here: https://brainly.com/question/13763238
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Help asap please!
Based on the graph, what essay score would be expected for a person with a shoe size of 14?
A 70, based on the negative association
B It cannot be determined because there is no association
C 80, based on the nonlinear association
D 90, based on the positive association.
Answer: I think its B but it could be A i dont know
list the different ways to solve a quadratic equation.
thankyou ~
Hello !
________________________________________________________
List the different ways to solve a quadratic equation ?1. You'll have to factoring.
2. Using the square roots.
3. Completing the square.
4. And do the quadratic formula.
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
what is 3 3/5 x 8 3/4?
Answer:
exact form: 63/2
decimal form: 31.5
mixed number form: 31 1/2
Write these values in order, starting with the smallest.
0.15
1/10
12%
1/20
Rewrite them all as a decimal to compare them:
0.15
1/10 = 0.10
12% = 0.12
1/20 = 0.20
Now write them in order : 1/10, 12%, 0.15, 1/20
a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?
B.which integers are 10 units away from 5 on a number line?
C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Please answer thiss, thank you guys so much!!!!!!! :)
Yes let's see
#1
6+7=136-7=-1Thats -1
#2
5-10=-5Thats -5
#3
Right means positive
-7+4=-3triangles abd and ace are similar
Answer:
abd = ace? there is not enough context maybe you are missing an image that we need but this is the only feasible way I can use abd and ace are similar
Step-by-step explanation:
what is 2(3+2i) simplified
Answer:
6 + 4i
Step-by-step explanation:
2( 3 + 2i )
Multiply 2 times 3+2i.
2 × 3
+
2 × (2i)
Do the multiplications.
6 + 4i
the price has changed from $120 to $75. by how many percent did it chnage
Find the inverse of f(x)=2x+1/x+6
Answer: Look at the screenshot, hope this helps yw.
Step-by-step explanation:
In ∆XYZ, XY=14, YZ=22, and XZ=28. What is the measure of angle Z to the nearest degree?
ANSWER 33°
im hoping this helps i looked it up and this is what i got
How many solutions does the system of equations below have?
y = 3x + 4
y+ 6 = 3x
O A. Exactly 1 solution
O B. More than 1 solution
O C. At least 1 solution
O D. No solution
Answer:
No solution
Step-by-step explanation:
Let's solve your system by substitution.
y=3x+4;y+6=3x
Step: Solvey=3x+4for y:
y=3x+4
Step: Substitute3x+4foryiny+6=3x:
y+6=3x
3x+4+6=3x
3x+10=3x(Simplify both sides of the equation)
3x+10+−3x=3x+−3x(Add -3x to both sides)
10=0
10+−10=0+−10(Add -10 to both sides)
0=−10
Answer:
No solutions.
Fill in the blanks.
A quadratic trinomial’s largest exponent is ___, and it has ___ terms.
Answer:
A Quadratic Trinomial's Largest Exponent is 2 and it has 3 Terms
Step-by-step explanation:
PLEASE HELP! Will give brainliest and 20 points
4b) Find the area of the following shapes.
Answer:
180
Step-by-step explanation:
To find the area of the rectangle, multiply 15 by 9
15 x 9 = 135
To find the area of the triangle, multiply 15 by 6, then divide by 2
15 x 6 = 90
90/2 = 45
Now add these two numbers to get the total area.
135 + 45 = 180
Hope this helps :)
ABC DEF. The area of DEF is given. Find the area of ABC.
Answer:
C
Step-by-step explanation:
They are similar shapes, using the scale factor
60/12 = 5
Using the scale factor, divide it by the area of the big shape
1200/5 = 240
The answer is C (240)
Answer:
d
Step-by-step explanation:
The bill for a pizza and soda was $20. You want to leave a 15% tip. What will be the total amount paid for the bill?
Answer:
23
Step-by-step explanation:
20 *.15=3
20+3=23
Answer: 23
Step-by-step explanation:
20 X 0.15= 3
20 plus 3= 23
23 dollars :)
Jessica buys a coat online for $70. If shipping and handling are an additional 20% of the price, how much shipping and handling will Jessica pay?
Answer:
$14 in shipping and handling
Step-by-step explanation:
20 percent as a decimal is .2, so multiply 70 by .2 to determine what twenty percent of 70 is. You should get 14, which is how much shipping and handling she will pay.
Hopefully this helps- let me know if you have any questions!
In Mr. Kagame's Algebra 1 class, 7 students took the Unit 7 test. The class average was 78% (rounded). Six students' scores are known:HELPPP
The score of the seventh student will be given by:
[tex]x = 546 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6[/tex]
What is the score of the last student?
So you know the scores of 6 of the students, let's define these as:
a₁, a₂, a₃, a₄, a₅, a₆.
And let's define x as the score of the 7th student.
We know that the average of the scores is 78% (rounded).
Then we can estimate the value of x using the average equation:
[tex]\frac{a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + x}{7} = 78[/tex]
Now you can solve that for x, to get:
[tex]x = 78*7 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6\\\\x = 546 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6[/tex]
That is the equation to get the score of the seventh student as a function of the six known scores.
If you want to learn more about averages, you can read:
https://brainly.com/question/14532771
Answer:
82%
Step-by-step explanation:
1.) 78*7=546
2.) 546-51-67-78-78-91-99=82
What single percentage change is equivalent to a 9% increase followed by a 17% increase?
Answer:
27.53%
Step-by-step explanation:
Initial number = 100
9% increase
100*1.09= 109
17% increase
109*1.17= 127.53
The difference with the initial number is:
127.53 - 100 = 27.53
27.53/100*100% = 27.53%
This is the single percentage change
Given Limit of f (x) = negative 4 as x approaches c and Limit of g (x) = one-fifth as x approaches c. What is Limit of left-bracket StartFraction g (x) Over f (x) EndFraction right-bracket as x approaches c?
Negative StartFraction 20 Over 1 EndFraction
Negative five-fourths
Answer:
-1/20
Step-by-step explanation: Took Test on Edge 2022
Answer:
answer is -1/20
Step-by-step explanation:
because im so cool just trust!
Help please. I don't really understand.
PLEASE HELP! I WILL GIVE BRAINLIEST FOR A RIGHT ANSWER
Answer:
Step-by-step explanation:
What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?
give answer in newtons
Answer: 1.6 N/cm^2
Step-by-step explanation:
Answer:
1.2nm
Step-by-step explanation:
Find the height of a rectangular prism
with surface area of 286 square inches and a
base measuring 7 x 9 inches
let f(x) = -2x -7 and g(x) = -4x+3. Find (f.g) (-5)
Answer:
-53
Step-by-step explanation:
I assume your question is asking for x = -5 when (f.g).
Simply plug in the equation g(x) into the variable x of the f(x) function.
[tex](fog) = -2(-4x+3)-7[/tex]
Plug in x = -5 and the answer will be -53.
If M is a midpoint of line CD and MD = 27. Find the length of CD. (Hint: Draw a picture)
please please please please please please