Answer:
-3 2 6
Step-by-step explanation:
Consider this expression.
-3x2- 24x - 36
What expression is equivalent to the given expression?
-3 (x + 2)(x+6)
Drop down answer is in bold
The equivalent expression will be : - 3 (x + 2) (x + 6)
We have the following expression -
[tex]-3x^{2}[/tex] - 24x - 36
We have to find out the equivalent expression of above expression.
Expand the following expression - (x + 2)(x + 4).Above expression can be expanded in the following way -
(x + 2)(x + 4) = x(x + 2) + 4(x + 4) = [tex]x^{2}[/tex] + 2x + 4x + 16 = [tex]x^{2}[/tex] + 2x + 16
According to question -
[tex]-3x^{2}[/tex] - 24x - 36
- 3 ([tex]x^{2}[/tex] + 8x + 12)
-3 ([tex]x^{2}[/tex] + 6x + 2x + 12)
-3 [x(x + 6) + 2(x + 6)]
-3(x + 2)(x + 6)
Hence, the equivalent expression will be : -3(x + 2)(x + 6)
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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled approximately by a trigonometric function. The lowest temperature is usually around 3^\circ C3 ∘ C3, degrees, C, and the highest temperature is around 18^\circ C18 ∘ C18, degrees, C. The temperature is typically halfway between the daily high and daily low at both 10\text{ a.M.}10 a.M.10, start text, space, a, point, m, point, end text and 10\text{ p.M.}10 p.M.10, start text, space, p, point, m, point, end text, and the highest temperatures are in the afternoon.
Answer:
The answer is "[tex]\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}[/tex]"
Step-by-step explanation:
Given value:
Temp-maximum=[tex]18^{\circ}[/tex]
Temp. minimum = [tex]3^{\circ}[/tex]
It is halfway between 10 am and 10 pm to 4 am.
The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:
[tex]T = A \cos B(t-C) + D,[/tex] where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)
[tex]A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\[/tex]
[tex]= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5[/tex]
[tex]B = \frac{2 \pi}{24}\\\\[/tex]
[tex]= \frac{\pi}{12}[/tex]
[tex]C = \text{ units translated to the right}= 4[/tex]
[tex]D = y_{min} + amplitude = units \ translated \ up\\\\[/tex]
D = 7.5 + 3 = 10.5
Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.
[tex]T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5[/tex]
Answer:
Hope this helps.
Step-by-step explanation:
How can I solve this? 32 1/4 x 1/8
convert 32 1/4 into an improper fraction
What is the sum of the first 21 even numbers? FAST!!!
Answer:
462
Step-by-step explanation:
Sum = n/2 x (a + Tn)
= 21/2 x (2 + 42)
= (21 x 44)/ 2
= 924/2
2 + 4 + 6 + 8 + 10 + 12 + . . . . + 42 = 462
Solve the equation
(1/2)-sinx=1
Answer: #2. sin x (sin x + 1) = 0
sin x = 0 or sin x + 1 = 0
sin x = 0 or sin x = -1
Step-by-step explanation:
the value of x will be x = 210° and 330° for the given expression (1/2)-sinx=1.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given a equation (1/2)- sin x = 1
Simplifying the given expression
=> (1/2)- sin x = 1
subtract 1/2 on both sides
=> -sin x = 1/2
=> sin x = -1/2
=> x = 210° and 330°
For all x = 0 to 360°
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This is really confusing can someone help?
Answer:
D.780.8
Step-by-step explanation:
multiply 244 and 3.2 and you get D. hope this helps.
Answer:
B (780 4/5)
Step-by-step explanation:
He’s buying 24 boxes, and each box weighs 3 1/5 pounds. So we need to multiply 24 x 3 1/5, resulting in 780 4/5
So sorry if I’m wrong. Have a good day!
~Louella Marie Smith♥️
What is the graph for y=3(x-1)^2
23.749 in expanded form using fractions
Answer:
23749/1000
Step-by-step explanation:
Determine the value of e. image attached.
Answer:
answer: b. 16
Step-by-step explanation:
8*4=32
32*0.5=
16
a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT
Answer:
angle a = 53.13 degrees and OT = 5cm
Step-by-step explanation:
Tan A = 4/3
A = 53.13
Which property does this show? 4(3 - x) = 12 - 4x
Answer:
Distributive property
Step-by-step explanation:
when you distribute the left sid dit equals the right
leila decides to save for 6 years. she opens a saving account with $800. the account pays simple interest at an annual rate of 2%. she doesn’t make any more deposits how much total interest will leila earn?
Answer:
time =T=6 years
principal = P=$800
rate = R= 2%
interest = (P*T*R)/1000
= 800*6*2/100
= 96
Step-by-step explanation:
Each output of a function is 0.25 greater than the corresponding input. Which equation is a rule for
the function?
O y = 0.25x
O y = x/0.25
O y = x +0.25
O y = x - 0.25
Answer:
A. y = x+0.25
What are the angle measures of 1 and 2
Which of the following is equivalent to the expression below?
(-k+8)(-2k²-8k-1)
A)2k³-8k²-63k-8
B)2k³-24k²-64k-8
C)-8k^4 +2k³+64k-8
D)-24k^4-2k³-64k²-8
Answer:
A
Step-by-step explanation:
(-k + 8)(-2k² - 8k - 1)
We can use FOIL to solve this.
(-k * -2k²) + (-k * -8k) + (-k * -1) + (8 * -2k²) + (8 * -8k) + (8 * -1)
2k³ + 8k² + k + (-16k²) + (-64k) + (-8)
2k³ - 8k² - 63k - 8
Best of Luck!
elise says, "if you subtract 16 from from my number and multiply the difference by -5, the result is -35." what is elise's number?
Answer:
23
Step-by-step explanation:
1. (x-16)-5=-35
2. (x-16)=-35/-5
3. x-16=7
4. x=16+7
5. x=23
Please answer these... please
Answer:
1) y=1/8x+2
2) y=1/35x+100
Step-by-step explanation:
x =??? ASAPPP plssssssssssss
Answer:
85 becacuse 20×25 = 85 x=85
Ian measures 9 kg of rice. One kilogram is approximately equal to 2.2 pounds. Which measurement represents the number of pounds of rice?
Answer:
19.8 poundsStep-by-step explanation:
9 kg x 2.2 pounds
1 kg
= 19.8 pounds
Answer:
19.8
Step-by-step explanation:
pls help.Solve it pls
Answer: do i solve for a or sum?
Step-by-step explanation:
Given the matrix showing flight times between cities, which of the following statements is true?
The flight time from city 2 to city 4 is 2.1 hours.
The flight time to return from any city is the same as the flight time to fly to that city.
The matrix is square.
Using one or more flights, it is possible to get from any city to any other city.
Answer:
1, 3, and 4
I just did the assignment. Hope this helps!
Answer: yes, 1, 3, and 4
Step-by-step explanation:
Need this ASAP!!!PLLSS HELP!!
The price of a sweater is 40% off the original price of $20.00. What is the new price of the
sweater?
A $14
B $8
C $10
D $12
Answer:
the amount of the shirt is 12 dollars
Step-by-step explanation:
.40×12=12
Suzl starts her hike at 300 feet below sea level. When she reaches the end of the
hike, she is still below sea level at -103 feet. What was the change in elevation
from the beginning of Suzi's hike to the end of the hike?
The change was (
feet.
For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet
Solve for x: -1 < x + 3 < 5
Answer:
B -4<x<2
Step-by-step explanation:
[tex]-1+-3<x+3+-3<5+-3[/tex]
Add -3 to all parts
and u get [tex]-4<x<2[/tex]
The line shown represents the amount of money Ben owes on his lunch account.
2 days ago, he owed $1. What is an equation of the line in point-slope form?
Answer:
y=2x-1
Step-by-step explanation:
Remeber to put no spaces on the test
and it is this answer bc he owes one dollar evryday and owing is negative
Please help!! 13 points, will mark brainliest!! How to calculate [tex]cos (x)=\frac{6}{15}[/tex]?
I'm doing a trig question; trying to find angle XYZ, and I think the formula for the answer is C = [tex]\frac{A}{H}[/tex], which as stated in the title, I think in this situation is [tex]Cos(x)=\frac{6}{15}[/tex].
I don't know what I'm doing wrong, or if I've done the whole question wrong, but no scientific calculators will give me an answer because it says Cos is already defined. I know for sure the answer isn't 0.4, which was a guess I made. The entire question is attached below.
Answer:
66.4°
Step-by-step explanation:
Let ∠XYZ be x°.
Given the adjacent side, XY, and the hypotenuse side,YZ, we use cosine.
[tex] cosθ= \frac{adj}{hyp} \\ cosx° = \frac{6}{15} [/tex]
To find the value of x°, take the inverse of cosine.
[tex] x°\\ = cos^{ - 1} (\frac{6}{15} ) \\ = 66.4° \: (1 \: d.p.)[/tex]
Thus, ∠XYZ= 66.4°
*Given 2 sides, we can find the measure of an angle in a right- angled triangle by taking the inverse of the trigonometry function.
Answer:
0;0;2;9;8;4
Step-by-step explanation:
(2)^(3)
36.481;2.5
-3*(-2/3)-1
8;1;2;9;0;4
0;0;2;9;8;4
A furniture store buys a couch for $800. They mark up the price by 30%. At what price does the furniture store sell the couch?
A. $240
B.$560
C.$1040
D.$1360
Please answer I will mark you as brainlist PLEASEEE ANSWER
i need help i’m really a bad at math
Answer:
what u need help with?
Step-by-step explanation:
Answer:
the slope is 0.6
Step-by-step explanation: ΔY /ΔX
Sorry but what is “ 6(-5n + 7) “ equal ?
Answer:
-30n+42
Step-by-step explanation:
6(−5n+7)
=(6)(−5n+7)
=(6)(−5n)+(6)(7)
=−30n+42
Answer: − 30 n + 42
Step-by-step explanation:
The product of two positive numbers is always greater than either number
The product of two positive numbers is always greater than either number the statement is false.
What are numbers?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given that the product of two positive numbers is always greater than either number.
To understand this let's take an example take two numbers and multiply them.
2 x 5 = 10
Then take 2 and 0.5 and multiply them.
2 x 0.5 = 1
Here the result of the product is 1 which is less than 2. Therefore, if the product of two positive numbers is always greater than either number the statement is false.
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