Answer:
STEP 1
Step-by-step explanation:
What is the product of the roots of the equation x^3-4x^2+x+6=0?
The product of the roots of the equation x³ - 4x² + x + 6 = 0 will be - 6.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ x³ - 4x² + x + 6 = 0
Now,
We know that;
If u, v, w are the roots of the equation ax³ + bx² + cx + d = 0
Then, The product of roots (uvw) = - d / a
Here, The equation is,
⇒ x³ - 4x² + x + 6 = 0
Let the three roots of the equation = a, b, c
Then, We get;
⇒ a × b × c = (-6) / 1
⇒ abc = - 6
Thus, The product of the roots of the equation x³ - 4x² + x + 6 = 0
will be - 6.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
evaluate the expression 6+[(-24)÷6]/19
What is the inverse to this statement? Statement : If you feel hungry then you eat.
A. if you don't eat, then you don't feel good
B. if you feel hungry,then you don't eat.
C. If you eat, then you feel hungry
D. If you don't feel hungry, then you don't eat.
Answer:
D.Because if you feel hungry then you'll eat, but if your not hungry then you won't want to eat. Hope I helped!
Step-by-step explanation:
You flip a coin 5 times. in how many ways could u obtain at least one tail
Which shows the best path to find the number of centimeters in 1 yard?
To find the number of centimeters in 1 yard, convert yards to feet, then feet to inches, and finally, inches to centimeters. 1 yard is equal to 91.44 centimeters after applying the conversion factors 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 centimeters.
To find the number of centimeters in 1 yard, we need to follow a two-step conversion process. First, we convert yards to feet, knowing that 1 yard equals 3 feet. Then, we convert feet to inches, since we know that 1 foot equals 12 inches. Finally, we convert inches to centimeters, using the conversion factor that 1 inch is equivalent to 2.54 centimeters.
So the path would look like this:
Convert yards to feet: 1 yard = 3 feet.
Convert feet to inches: 1 foot = 12 inches.
Convert inches to centimeters: 1 inch = 2.54 centimeters.
Applying these conversions to 1 yard:
1 yard * 3 feet/yard = 3 feet
3 feet * 12 inches/foot = 36 inches
36 inches * 2.54 centimeters/inch = 91.44 centimeters
Therefore, 1 yard is equivalent to 91.44 centimeters.
Help me!!!!!!!!!!!!!
What is the total amount of interest with 12,560 dollar stocks borrowed 2% simple interest for 4 years?
Which is the range and interquartile range for the data represented by the box-and-whisker plot?
What is the opposite of -a
the opposite of a negative is a positive
so opposite of - a would be positive a
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y).
first step sum means addition so (12x+9y) +(-2y) = 12x +7y
second step subtract (4x -3y) from (12x+7y)
need to use the distributive property:
12x +7y - 4x - -3y =
12x + 7y - 4x +3y
combine like terms
8x+10y
Answer has been edited.
Answer:
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .
Step-by-step explanation:
As given the expression
(12x + 9y) , (-2y) and (4x − 3y) .
First add the expression (12x + 9y) and (-2y) .
= (12x + 9y) - (2y)
First open the bracket
= 12x + 9y - 2y
= 12x + 7y
Now subtracted (4x − 3y) from 12x + 7y .
= 12x + 7y - (4x - 3y)
= 12x - 4x + 7y + 3y
= 8x + 10y
Therefore the Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .
the senior classes at high school A and high school B planned separate trips to the indoor climbing gym. the senior class at high school A rented and filled 13 vans and 5 buses with 353 students. high school b rented and filled 9 vans and 5 buses with 309 students. each van and bus carried the same number of students. find the number of students in each van and in each bus.
1. ABCD is a trapezoid with midsegment EF. If AB = 12 and CD = 24, what is the length of EF?
2. ABCD is a trapezoid with midsegment EF. If AB = 21 and CD = 35, what is the length of EF?
3. ABCD is a trapezoid with midsegment EF. If AB = 7 and EF = 9, what is the length of CD?
4. ABCD is a trapezoid with midsegment EF. If CD = 32 and EF = 22, what is the length of AB?
5. The length of the midsegment of a trapezoid is the _____ of the length of the two bases.
PLEASE HELP ME, SERIOUS ANSWERS ONLY PLEASE
Answer:
5
Step-by-step explanation:
Solve the inequality 0>-3×-2×.
PLEASE ANSWER IMMEDIATELY
Given the function f(x) = x^2 - 9, classify the polynomial.
A. monomial
B. trinomial
C. binomial
V(t)=t2−3t what is the meaning of the quantity v(4) ?
The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
What is the length of one leg of the triangle?
9 cm
cm
18 cm
cm
Answer:
9√2
Step-by-step explanation:
18=x√2
18/12=x
√2(18/√2)=x
18√2/2=x
9√2=x
A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same? A) 60 miles B) 180 miles Eliminate C) 222 miles D) 300 miles
HURRY I NEED THE ANSWER.
What is the product in simplest form?
−8/9 ⋅ 5/6
Javier bought a microwave for $150. The cost was 30% off the original price, what was the original price
What is the formula for the sum of interior angles of a regular polygon?
Juan's income y consists of at least $37,500 salary plus 5% commission on all of his sales x. which inequality represents juan's income in one year? answer
Answer:
y < 37,500 + 5x I believe.
Which equation represents a line that passes through two points in the table
Answer: C
Step-by-step explanation: A P E X
Gloria collected 28 fantail and comet goldfish. there were 4 fewer fantails than comets. how many comets did gloria have?
List the following numbers from least to greatest -5/3, 7/3, -3/4, 7/5.
PLEASE HELP
What is the equation of the line in slope-intercept form?
ASAP HELP FOR NUMBER 13!!
13a, b, c, and d!!
CORRECT ANSWERS PLS
THANK U GUYS SO MUCH!!!
Rochelle is riding a bicycle whose wheels are 26 inches in diameter
1) Divide using synthetic division, and write a summary statement in fraction form.
two x to the fifth minus x to the fourth plus three x squared minus x plus five divided by quantity x minus one
a. 2x4 + x3 + 4x2 + 3x + eight divided by quantity x minus one
b. 2x4 + x3 - x2 + 2x + 1 + six divided by quantity x minus one
c. 2x4 + x3 + x2 + 4x + 3 + eight divided by quantity x minus one
d. 2x4 - 3x3 + x + six divided by quantity x minus one
2) Divide f(x) by d(x), and write a summary statement in the form indicated.
f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1
a. f(x) = (x2 + 1)( x2 + 4x + 1)
b. f(x) = (x2 + 1)( x2 - 4x + 1) + 12x + 3
c. f(x) = (x2 + 1)( x2 + 4x + 1) + 12x + 3
d. f(x) = (x2 + 1)( x2 - 4x + 1)
3) Find the remainder when f(x) is divided by (x - k).
f(x) = 3x3 - 4x2 - 3x + 14; k= 3
a. 50
b. 68
c. -12
d. 112
4) Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.
k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound?
a. yes
b. no
5) Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
What is the square root of 500 divided by 2 x pi?
35.124, so rounded it is just 35.124
There are 16 apples in a basket. 9 of these apples are green. the rest of them are red. (a) what is the ratio of all apples in the basket to red apples? (b) what is the ratio of red apples to green apples?
The ratio of (a) the ratio of all apples in the basket to red apples = 16/7 and (b) the ratio of red apples to green apples = 7/9
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
There are 16 apples in a basket.
9 of these apples are green.
The rest of them are red.
So,
(a) To find the ratio of all apples in the basket to red apples,
Number of apples / number of red apples
= 16/9
(b) To find the ratio of red apples to green apples,
The number of green apples = 16 - 9 = 7
Number of red apples / number of green apples
= 7/9
Therefore, the ratio (a) 16/9 and (b) 7/9
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ5