Answer:
smart
be smart
Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
Learn more about zeros of the function from the link given below.
https://brainly.com/question/31654189
#SPJ2
The nth term of a sequence is 3n² Work out the value of the 15th term.
Answer:
a₁₅ = 675
Step-by-step explanation:
Substitute n = 15 into the nth term formula
a₁₅ = 3(15)² = 3 × 225 = 675
I need help with my homework… plz
What is the period of the trigonometric function f(t) = 3sin(t/2)?
A) 2Pie
B) 3pie
C) 4pie
D) pie/2
What is the answer to the first one?
Answer:
8
Step-by-step explanation:
2(-2)^2 =10 +-2 =8
2/5+3/10/−7/9pls hlp
[tex] \frac{2}{5} + \frac{3}{10} - \frac{7}{9} \\ = \frac{2 \times 18 + 3 \times 9 - 7 \times 10}{90} \\ = \frac{36 + 27 - 70}{90} \\ = \frac{ - 7}{90} [/tex]
Answer:[tex] \frac{ - 7}{90} [/tex]
Answer:
5
52
52
52 +
52 + 10
52 + 103
52 + 103
52 + 103 −
52 + 103 − 9
52 + 103 − 97
52 + 103 − 97
52 + 103 − 97
52 + 103 − 97 =
52 + 103 − 97 = 90
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10 =
52 + 103 − 97 = 902×18+3×9−7×10 = 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 =
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90}
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7
what’s the operation
inverse or reciprocal
p=??
Answer:
The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.
Step-by-step explanation:
Nate earns extra money on the weekends mowing lawns. He charges $14.00$ to work for the first hour. He charges $10.50 for each additional hour. Let hh equal the number of hours after the first hour. Which expression represents how much Nate charges?
Answer:
m=14+10.50h
Step-by-step explanation:
h represents hours. m represents how much he makes
he's going to get 14 dollars, plus 10.50 times however many hours he works.
simplify the ratio 4 : 0.5
Answer:
8:1
Step-by-step explanation:
Which statement describes the sequence -9, -3, 3, 9, 15, ...?
O A.
an arithmetic sequence with common difference -9
O
B.
an arithmetic sequence with common difference 3
C.
an arithmetic sequence with common difference 6
ОО
O D. not an arithmetic sequence
Answer:
The answer is C
Step-by-step explanation:
An arithmetic sequence with common difference 6
(-3)-(-9) = 6
3 - (-3) = 6
9 - 3 = 6
15 - 9 = 6
210 is the product of − 14 and x
Answer:
-14 and -15
Step-by-step explanation:
When you multiply two negative numbers together, it will equal a positive number
Lucy is going to watch a movie in her collection. She has 5 action movies, 4 comedies, and 3 dramas.
She will randomly select one movie. What is the probability that the movie she selects is not a drama?
Write your answer as a fraction in simplest form.
Answer:
3/4
Step-by-step explanation:
5 action+4 comedy+3 drama= 12 total movies
12 will be the denominator of our fraction.
The question asks: What is the probability that the movie she selects is NOT a drama?
So, we add the number of action and comedy movies.
5+4=9
9 is our numerator.
But wait! We have to simplify the fraction 9/12!
9 divided by 3= 3
12 divided by 3= 4
Reduced answer: 3/4
If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?
Answer:
To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.
Step-by-step explanation:
2+2 1,000,000,000+1,000,000,000
Answer:
22,000,000,002
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
22,000,000,002
Angel sum theorem ……….
Answer:
y = 42º
Step-by-step explanation:
The unmaked angle of the bottom triangle is 90º
The sum of the angles is 180
y + 90 + 48 = 180
combine like terms
y + 138 = 180
subtract 138 from both sides
y = 42º
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.
The pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft
Let l be the length of side of the square bottom of the pool and h be the height of the pool.
Its volume V = l²h
Now, the total surface area of the pool equal the area of its sides plus the area of its base.
The area of its 4 sides is 4lh.
Since the cost of the side of the pool is $80 per square foot, the total cost for the sides of the pool is C = $80 × 4lh = $ 320lh
Also, The area of its square bottom is l².
Since the cost of the side of the pool is $40 per square foot, the total cost for the square bottom of the pool is C' = $40 × l² = $ 40l²
So, the total cost of the pool is C" = C + C' = 320lh + 40l²
C" = 320lh + 40l²
Since the volume equals 2000 ft³, V = l²h
2000 = l²h
h = 2000/l²
Substituting h into C", we have
C" = 320lh + 40l²
C" = 320l × 2000/l² + 40l²
C" = 640000/l + 40l²
To find the value of l which makes C" minimum, we differentiate C" with respect to l and equate it to zero.
So, dC"/dl = d(640000/l + 40l²)/dl
dC"/dl = d(640000/l)/dl + d(40l²)/dl
dC"/dl = -640000/l² + 80l
Equating dC"/dl to zero, we have
-640000/l² + 80l = 0
-640000/l² = -80l
Cross-multiplying, we have
640000 = 80l³
Dividing through by 80, we have
l³ = 640000/80
l³ = 8000
Taking cube root of both sides, we have
l = ∛8000
l = 20 ft
We differentiate C" twice to determine if this value of l gives a minimum for C".
So, d²C"/dl² = d(-640000/l² + 80l)/dl
d²C"/dl² = d(-640000/l²)/dl + d(80l)/dl
d²C"/dl² = 640000/l³ + 80
Substituting l = 20, we have
d²C"/dl² = 640000/l³ + 80
d²C"/dl² = 640000/20³ + 80
d²C"/dl² = 640000/8000 + 80
d²C"/dl² = 80 + 80
d²C"/dl² = 160 > 0
Since d²C"/dl² = 160 > 0. So, l = 20 ft gives a minimum for C".
Since h = 2000/l²
Substituting l = 20 into the equation, we have
h = 2000/l²
h = 2000/20²
h = 2000/400
h = 5 ft
So, the pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft
Learn more about dimensions of a pool here:
https://brainly.com/question/22112169
Find the factorization of the polynomial below. 81X2 - 18x+1
A. (18x-1)2
B. (9x-1)2
C. (9x + 1)2
D. (18x + 1)2
Answer:
B.(9 x -1)^{2}
Step-by-step explanation:
Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}
Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}
we have 81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2
ok done. Thank to me :>
5 = 5+r-2r
what's the answer to this equation
Hi there!
5=5+r-2r
Combine like terms:
5=5-r
Move all the variables to the left, using the opposite operation:
r+5=5
r=5-5
r=0
r=0 is the answer
Hope it helps
~Just a gloomy gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
Answer:
r = 0
Step-by-step explanation:
5 = 5 +r - 2r
5 = 5 -r
c.l.t r = 5 - 5
r = 0
I already Have the answer but can u guys show the work?
I dont know how to solve these still
Answer:
x = 20*
Step-by-step explanation:
180 - 110 = 70
90 - 70 = 20
x = 20*
reason is #5 Algebra
Have a nice day! :-)
-6x + 8y = 12 and -3x + 4y = 6
Answer:
y = (3/4)x + (3/2)
Step-by-step explanation:
all points on that line
answer this pls!!...
help me out
-sry for my bad handwriting
Answer:
i cant read it
can u type so i can help?
Step-by-step explanation:
Julio says, “if you subtract 12 from my number and multiply the difference by -5, the result is -90” what is Julio’s number
WILL MARK BRAINLIEST IF CORRECT!
Answer:
Answer → Student A was right.
[tex]{ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}[/tex]
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
Please help Please thank you
Answer: C) The student made an error in step 3.
Step-by-step explanation:
When dividing by a negative while working with inequalities, you must "flip the sign." Thus, there is an error in step 3.
N.B. The answer could very well be interpreted as B), but I believe C) is the best and most defensible answer.
Hope it helps :) and let me know if you want me to elaborate.
Answer:
nvm
Step-by-step explanation:
What is the distance between point (2,6) and (5,2)?
Answer:
5 units
Step-by-step explanation:
Distance between two points can be found by using the pythagorean theorem
The distance in y = 4
The distance in x = 3
3² + 4² = c²
9 + 16 = c²
25 = c³
c = √25
c = 5
-Chetan K
Answer:
5
Step-by-step explanation:
[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]
[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\underline{\mathrm{Solve:}}[/tex]
[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\sqrt{3^2 + 4^2}[/tex]
[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]
[tex]\sqrt{25}[/tex]
[tex]\sqrt{5^2}=5[/tex]
LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?
Answer:
21 she has 21 nickels
Step-by-step explanation:
Googel
The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.
Given that, LeAnnne has $4 in dimes and nickels.
Let the number of dimes be d and the number of nickels be n.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
She has 10 more dimes than nickels.
That is, d=n+10
So, 0.05n+0.10d=4
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
5n+10(n+10)=400
5n+10n+100=400
15n=300
n=20
d=n+10
d=30
Therefore, the number of nickels LeAnne has 20.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ3
need help please 100 pts
Answer:
b)
Step-by-step explanation:
A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.
Answer:
150 Miles
Step-by-step explanation:
Let's say it takes x time to get there.
X x 30=(8 - 6) x 50 (The distance is the same)
30X=400 - 50X=7 X=5 hours.
So the distance is 5 x 30=150 miles.