Answer:
x = {-1, 1, 7}Step-by-step explanation:
Solving for x
x^3 - 7x^2 - x + 7 = 0(x^3 - x) - (7x^2 - 7) = 0x(x^2 - 1) - 7(x^2 - 1) = 0(x - 7)(x^2 - 1) = 0(x - 7) (x + 1) (x - 1) = 0x - 7 = 0 ⇒ x = 7x + 1 = 0 ⇒ x = -1x - 1 = 0 ⇒ x = 1The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]
The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]
We can observe that the polynomial has a common factor of (x - 1).
By dividing the polynomial by (x - 1), we can simplify the equation:
[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]
Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]
To find the solutions, we set each factor equal to zero and solve for x.
Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]
Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]
Using factoring or the quadratic formula, we find the roots of the quadratic equation:
[tex]x^2 - 6x - 7 = 0[/tex]
[tex](x - 7)(x + 1) = 0[/tex]
Setting each factor equal to zero:
[tex]x=7[/tex] and [tex]x=-1[/tex]
Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]
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The number of boxes of cookies sold by Sarah was 50 fewer than the number of boxes of cookies sold by Keiko. The number of boxes of cookies sold by Imelda was
22 greater than the number sold by Keiko. Write an algebraic expression for each quantity. Use x to represent the unknown value.
the number of boxes of cookies sold by Sarah
= the number of boxes of cookies sold by Keiko
= the number of boxes of cookies sold by Imelda
Answer:
abcdefghijklmnopqrstuvwxyz
If B(-5, 2) is one endpoint of a line segment and M(1, 4) is the midpoint, what are the coordinates of the other endpoint G?
Answer:
G = (7, 6)
Step-by-step explanation:
You have to solve -5+x/2=1 and you have to solve 2+y/2=4. Just multiply both sides by 2 and solve.
On Wednesday, every 8th customer at Ms. Wade's bagel shop will get a free coffee. Every 12th customer will get a free bagel. Which customer will be the first to get a free coffee and a free bagel?
Answer: The 24th customer.
Step-by-step explanation:
8th customer: Free Coffee 12th customer: Free Bagel
16th customer: Free Coffee 24th customer: Free Bagel
24th customer: Free Coffee
You're welcome!
Answer:
person above me is correct
Step-by-step explanation:
how do you do this step by step?
Answer:
Step-by-step explanation:
cómo se escribe el número 88,317
Answer:
Eighty-Eight thousand three hundred seventeen
Step-by-step explanation:
Answer:
ochenta ochenta mil trescientos diecisiete
Step-by-step explanation:
No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.
Write the absolute value of each number. 1. -2/8 2. 3 ¾
How do you do this question?
Step-by-step explanation:
lim(n→∞) an / bn
= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)
= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)
= lim(n→∞) (sin²n)
DNE
Since the limit does not exist, the limit comparison test is inconclusive.
the value of the 3 in 783.97 is blank the value as the 3 in 6.529.34
Answer:
the first 3 is 30 the second is 3/10
Step-by-step explanation:
10 friends (6 boys and 4 girls) decided to go to the movies. They only have enough money to buy 7 tickets.
What is the probability that 5 boys and 2 girls get the movie tickets?
Answer:
0.3
Step-by-step explanation:
The number of ways to choose 5 boys from 6 is ₆C₅.
The number of ways to choose 2 girls from 4 is ₄C₂.
The number of ways to choose 7 people from 10 is ₁₀C₇.
P = ₆C₅ ₄C₂ / ₁₀C₇
P = 6 × 6 / 120
P = 0.3
will the square roots of perfect squares always be irrational numbers
No, the square roots of perfect squares always do not be irrational numbers.
We need to describe whether the square roots of perfect squares always be irrational numbers.
What are perfect squares?A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves. Generally, we can express a perfect square as x², where x is an integer and the value of x² is a perfect square.
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0).
So, the square roots of perfect squares are rational numbers and can be placed on a number line. The square roots of non-perfect squares are irrational numbers.
No, the square roots of perfect squares always do not be irrational numbers.
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. Where does the line y = 3x + 5 cross the y-axis?
Answer: at 5
Step-by-step explanation: the 3 is the slope and the 5 is the y intercept. The y-intercept corresponds to the value of 5 when the x value is equal to 0
Based on what we know about the formula of a straight line, the line above would cross the y-axis at 5.
The formula for a straight line takes the form:
y = mx + c
m = Gradient
c = y-intercept
The line described takes the form of y = 3x + 5.
5 is therefore c in the formula of a straight line so we can infer that it is the point where the y-axis is crossed.
In conclusion, the y-axis is crossed at 5.
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Help!! I’ll mark you brainly
Answer:
Two points that satisfy include (-2,5) (0,0) (2,-5) (I know this is more than 2, but in case the (0,0) origin isn't allowed.
Step-by-step explanation:
This is 5x+2y=0
Screenie is the 5x+2y=0 btw
Hope this helps!
X-7y=10 and 2x+14y=21 is it parallel, perpendicular or neither and why
Answer:
Not perpendicular and not parallel.
Step-by-step explanation:
The equations are not perpendicular because the slopes of the two lines are not negative reciprocals.
The equations are not parallel because the slopes of the two lines are not equal.
A box has length 5 feet, width 8 feet and height 3 inches. Find volume in cubic feet and in cubic inches
Answer:
120 cubic feet
Step-by-step explanation:
The formula for volume = length x width x height. Therefore, in order to get the volume you multiply 5 , 8 and 3, and when you multiply all three you get 120 inches cubic feet.
8 - 3x4 + 6/2
what’s the answer? help plz i really need help
Answer:
3 2/5
Step-by-step explanation:
8-3x4
ok well do 3x4 that is 12
so do 12 minus 8 which is 4. and 4 as a fraction is 2/5 so
do 6/2 plus 2/5
which is.....
.....
3 and 2/5
What makes a function
Answer:
a relation of X to Y, if one element from X is equal to one element from Y.
Step-by-step explanation:
a function in which one thing from X is equal to one thing from Y...
twice the cube root of a number is 24. find the number
Answer:
A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125. ...
Select each points that are colinear
A. H,C,B
B. Z,K,R
C. B,R,Z
D. H,B,K
E. C,H,J
Answer:
a
Step-by-step explanation:
its a
Combine like terms to create an equivalent expression.
11/12 - 1/6q + 5/6q - 1/3
Answer:
The answer is 8q+7/12
Step-by-step explanation:
Which graph shows y < x^2 + 1
Answer:It’s the third one.
Step-by-step explanation: i got it right.
Solve the following system of equations.
(15 Points)
5x + 10 = -5y & x + y = -2
Answer:
x = -2-y
Step-by-step explanation:
A subway ride is $2.25 per ride.
a. Write a model for the cost (in $) for x rides on the subway.
b. A commuter can purchase an unlimited- ride Metrocard for $89 per month. How many rides are required for a commuter to save money by buying the metrocard?
Answer:
yuh
Step-by-step explanation:
yuh
whats the name of the fifth American president
Answer:
the fifth president name was James Monroe
Write 27 as a product of primes.
Use index notation where appropriate.
Answer:
3 x 3 x 3 = 3^3
Step-by-step explanation:
27 as a product of it's primes = 3 x 3 x 3 In index notation= 3^3
Write the equation of a line in the given form.
The line through (4,-4) and (0,-5) in SLOPE INTERCEPT form
Answer:
[tex]y = \frac{1}{4}x - 5[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
[tex]-5 = \frac{1}{4}(0) + b[/tex]
b = -5
Now use the above slope and y intercept to create equation of a line:
[tex]y = \frac{1}{4}x - 5[/tex]
Determine whether each equation represents a proportional relationship.
y = 3 + x
Proportional Relationship
Not a Proportional Relationship
y = 1.6%
y = 3/(4x)
y = x
y = 12x
y = 2x + 1
Answer:
Proportional Relationship: I Not a Proportional Relationship:
y=1.6x I y=3/(4x)
y=x I y=2x+1
y=12x . I y=3+x
Explanation:
I took the test and that's how i got these answers.
A fraction with fractions in either the numerator or the denominator or both is called a _____.
complex fraction
mixed fraction
compound fraction
parallel fraction
Answer:
Compound fraction
Step-by-step explanation:
You're welcome
Answer:
Compound fraction
Step-by-step explanation:
What he said
The _____ is a measure of the average speed of the particles in a substance.
Solve for p in the literal equation 7p + 6r= q
p=
Answer: x=94
Step-by-step explanation:
The anwser
I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?