Answer:
Step-by-step explanation:
y = x(x^2 -5x + 6) Factor out a common term (GCF)
y = x(x - 2) (x - 3) Factor the trinomial
(x - 2) = 0 (x - 3) = 0 x = 0
Therefore x = 2, 3, or 0
A raindrop fallsat a rate of 4/50mile in 1/20hour. At this rate, how far will the raindroptravelin 1 hour?(60 minutes)
Answer:
Step-by-step explanation:
1/20 hour = 5 minutes
(We can now call 1/20 of an hour 5 minutes)
If it falls 4/50 of a mile in 5 minutes (1/20 of an hour),
we do 4/50 * 12 because there are 12 5-minute intervals in an hour/
4/50 * 12 = 48/50 = 24/25 of a mile
Therefore, the raindrop will travel 24/25 of a mile in an hour.
The distance of the raindrop in an hour will be 24/25 miles.
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and is described by its magnitude only.
Given that A raindrop falls at a rate of 4/50 mile in 1/20 hour. The distance in an hour will be calculated as:-
If it falls 4/50 of a mile in 5 minutes ( 1/20 of an hour ),
Distance = 4/50 x 12
Distance = 4/50 x 12
Distance = 48/50
Distance = 24/25 of a mile
Therefore, the distance of the raindrop in an hour will be 24/25 miles.
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(2t)^3 x (3t)^2 is what
Answer:
(23•32t5x)
Step-by-step explanation:
STEP1:
Equation at the end of step1:
(((2t)3) • x) • 32t2
STEP2:
Equation at the end of step2:
(23t3 • x) • 32t2
STEP3:
Multiplying exponential expressions :
3.1 t3 multiplied by t2 = t(3 + 2) = t5
Final result :
(23•32t5x)
Pls help need asap thank you!
Drag each tile to the correct box.
Arrange the absolute value expressions in increasing order of their values.
Answer:
18, 38, 43, 47, 55, 88, 90
Hope that has helped
for questions 4 use the graph provided.
PLEASE HELP.
Step-by-step explanation:
according to the drawing:
the first domain : -1≤ x ≤ 0
the second domain : 0< x < oo
the total domain : [-1, oo)
the first range : 0 ≤ y ≤ 1
the second range : -1< y < oo
the total range : [0, oo)
so, the correct answer is
a. Domain: [-1, oo) Range : [0, oo)
Domain:-
Set of x valuesHere
This is a piecewise function
So domain is
[-1,0]U(1,oo)[-1,oo)Range:-
Set of y valuesHere thats
[0,1]U[1,oo)[0,oo)What is the Gcf of the number below
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...
2^2 × 3^1 × 5^1 = 60
The GCF of 720 and 2100 is 60.
_____
Additional comment
You can verify this using Euclid's method of finding the GCF.
2100/720 = 2 r 660
720/660 = 1 r 60
660/60 = 11 r 0 . . . . 60 is the GCF
Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.
Factor x⁴ + 3x² + 2 completely.
All factors in your answer should have integer coefficients.
Answer:
x = i, ~1.41i
Step-by-step explanation:
Assuming "integer coefficients" allows imaginary numbers:
(x^2 + 1)(x^2 + 2)
x^2 = -1 = i
x^2 = -2 = ~1.41i
I am stuck, please help
Answer:
2323
Step-by-step explanation:
Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.
The question says there are 23 classes and each class is to collect 101 items.
The equation would be 23 x 101.
To do this in your head real quick, make the numbers easier to multiply.
Make the 101 items 100. That means you are telling each class to collect 1 less item or 23 less items total.
You can do this in your head real quick. 23 classes collecting 100 items is 2300 items.
You had each class collect 100 items instead of 101. That mean you didn't collect 23 items. So if you add those back in, you will get
2323 items.
Simplify (-42) ÷ {(-8) + (-6)}
Plz step by step!
Answer:
3
Step-by-step explanation:
_42÷ (-8+-6
-42÷-14
3
this is the answer
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] {(5 - ( - 2))}^{2} = {(5 + 2)}^{2} = 7 \times 7 = 49 \\ 49 \times ( - 3) = - 147[/tex]
Which values are solutions to the inequality below? Check all that apply.
a > 16
Someone I need help!!
Answer:
1000 and 3000
Step-by-step explanation:
write the ratio in three ways 10 home runs for every 15 games
Answer:
................................
Answer:
10 to 15 (simplified: 2 to 3)
10/15 (simplified: 2/3)
10 : 15 (simplified: 2 to 3)
What is the length of HE
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!
Answer:
• From trigonometry ratios:
[tex]{ \boxed{ \rm{ \sin(A) = \frac{opposite}{hypotenuse} }}} \\ [/tex]
opposite → 28hypotenuse → 35[tex]{ \rm{ \sin(A) = \frac{28}{35} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \sin(A) = \frac{4}{5} \: }}}}[/tex]
need an answer, please need an answer, please
Answer:
[tex] \alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta= \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \alpha +\beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 2b + 0}{2a} = \frac{ - 2b}{2a} \\ \therefore \: \alpha +\beta = - \frac{b}{a} \\ \alpha \times \beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ {b}^{2} - ( {b}^{2} - 4ac) }{4 {a}^{2} } \\ = \frac{4ac}{4 {a}^{2} } \\ \therefore \alpha \times \beta = \frac{c}{a} \\ (x - \alpha)(x - \beta) = 0 \\ {x }^{2} + (\alpha + \beta)x + \alpha\beta = 0\\\\Let \:D =\sqrt{ {b}^{2} - 4ac}\\ If \:D >0 \Rightarrow \alpha, \beta \in \mathbb R\:(2 \: real \:roots)\\ If D =0 \Rightarrow \alpha= \beta \in \mathbb R\: (one \:real\: root) \\ If D <0 \Rightarrow \alpha, \beta \in \mathbb C\:(complex\: roots)\\At least 4examples\\{(x-1)}^{2}=0\\{x}^{2}-x-1=0 \\{x}^{2}-2x+13=0\\7{x}^{2}-49x-7=0\\ Applications\\ut+g{t}^{2}=s\\a=g\\u=-\frac{b}{a}\\s=\frac{c}{a}[/tex]
Answer:
Step-by-step explanation:
1) Determining the nature of roots:
Quadratic equation: ax² + bx +c = 0
Find D (Discriminant) using the D = b² - 4ac
If D = 0 , then the two roots are equal.
If D > 0, then the equation has two distinct real roots.
If D < 0, then the roots are complex/ imaginary.
One can find the sum and product of the roots using the below mentioned formula.
1) sum of roots = [tex]\frac{-b}{a}[/tex]
2) Product of roots = [tex]\frac{c}{a}[/tex]
If sum and product of the roots are given, one can frame the quadratic equation by x² - (sum of roots)*x + product of roots = 0
2) i) x² - 6x + 9 = 0
a = 1 ; b = -6 and c = 9
D = (-6)² - 4 * 1 * 9 = 36 - 36 = 0
D = 0. So, two equal roots
ii) x² - 4x + 3 = 0
a = 1 ; b = -4 ; c = 3
D = (-4)² - 4 * 1 * 3 = 16 - 12 = 4
D > 0. So, two distinct real roots.
iii) x² - 4x - 3 = 0
a = 1 ; b = -4 ; c = -3
D = (-4)² - 4*1*(-3) = 16 + 12 = 28 > 0
D > 0. So, two distinct real roots.
iv) x² - 4x + 7 = 0
a = 1 ; b = -4 ; c = 7
D =(-4)² - 4 *1 *7 = 16 - 28 = - 12
D< 0. So, two imaginary/ complex roots.
solve pls brainliest
Paul paid $663 for a new freezer. He paid for the freezer with his credit card, which has an interest rate of 15.28% compounded monthly, and made monthly payments for five years until the freezer was paid off. He kept the freezer for seven years, and it used an average of $2.14 of electricity per week. Paul made no other purchases or payments with his credit card until the freezer was paid off. Between the interest and the electricity, which component of the lifetime cost of the freezer was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $106.60 more than the electricity.
b.
The interest cost $173.24 more than the electricity.
c.
The electricity cost $489.76 more than the interest.
d.
The electricity cost $115.96 more than the interest.
Answer:
c
Step-by-step explanation:
The electricity cost $489.76 more than the interest.
Thus, option C is correct.
What is Interest cost?Interest cost is the total measure of interest a borrower pays on an obligation commitment over the existence of the getting. Interest is paid on the obligation notwithstanding reimbursement of head.
The formula will be:
I = A - P
I = 663(1 + 0.1528/12)^(5*12) - 663
I = 663(1 + 0.1528/12)^60- 663
I = 1416.51 - 663
I = $753.51
The bill for electricity for 7 years and 52 weeks per year will be
= 7 x 52 x 2.14
= $778.96
The electricity cost is bigger than the interest:
$778.96 is bigger than $753.51 by $25.45:
$778.96 - $753.51 = $25.45.
Therefore, option C is correct.
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Which of the following is the solution to 3|x-1|>12?
Answer:
C.
Step-by-step explanation:
3|x - 1| >= 12
|x - 1| >= 4
x - 1 <= -4 or x - 1 >= 4
x <= -3 or x >= 5
Answer: C.
HELP PLEASEE !!!!! IM BEING TIMED!!!!!
Answer:
I cant see the picture can you tell me what it said?
Step-by-step explanation:
there are 76 milligrams of sodium in a 3ounce serving at skinless chicken how much sodium would be in 8 ounce of skinless chicken to the nearest tenth
Answer:
202.7 milligramsHope this helped :)Answer:
202.7
Step-by-step explanation:
76 divided by 3 to see how many milligrams of sodium is in 1 once of chicken, so it would be 25.33... (or you xould simplify to 25.4.) Then you times by 8 to see how much is in 8 ounces
Which expression has a solution of 54, if t = 6? 7 t 9 t 6 t 8 t
Answer:
The answer is 9
Step-by-step explanation:
Cause when we multiplied 6 to 9 the answer will be 54
solve pls brainliest
Answer: 0.2
happy learning
Amanda's average grade on a set of five test was 88%. She can remember only that the first four grade were 78%, 86%, 96%, and 94%. What was the grade on her fifth test ?
Answer:
I think the answer is 92%.
Hiiii a little help here plz !!!!
well you see I'm supposed to answer this with 20 character so my bad for the long response, but I'd go with C
Hi I need an answer thank you
NO LINKS OR ASSESSMENT!!!
Part 6: Write a rule to describe each transformation.
Answer:
(x, y) → (x, y - 3)Step-by-step explanation:
We observe a vertical shift.
The shift is negative by 3 units.
The rule for this translation is:
(x, y) → (x, y - 3)Solve for y.
Thanks!!
help plsss ^ _ ^ ….. !
Answer:
x = 6
Step-by-step explanation:
150 - x - 2x = 120 + 2x
place the like terms at the same side . So,
150 - x - 2x - 2x - 120 = 0
now add/subtract like terms
30 - 5x = 0
adding 5x on the both sides
30 = 5x
30/5 = x
6 = x
....................... hello again!
Answer:warts up man
Step-by-step explanation:
9. For f(x) = -x + 8, which statement
is true?
A f(x + k) = f(x) + k
ction
B f(x - k) = f(x) - k
C f(x + k) = f(x) + f(k)
D f(x - k) = f(x) + k
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The Correct choice is D
For the function f(x) = -x+8, f(x-k) = f(x)+k. Option (D) is correct.
What is function?Function is a combination of different types of variable and constants.
A function is denoted by f(x).
The given function is,
f(x) = -x+8,
Substitute x= x+k in the given function,
f(x+k) = -(x+k)+8
f(x+k) = -x-k+8
f(x+k) = -x+8-k
Substitute -x+8= f(x) here,
f(x+k) = f(x)-k
Substitute x= x-k in the given function,
f(x-k) = -(x-k)+8
f(x-k) = -x+k+8
f(x-k) = -x+8+k
Substitute -x+8= f(x) here,
f(x-k) = f(x)+k
Hence, option (D) is correct.
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