Answer:
the weight of each marble is 2.55 grams
Write a quadratic function whose zeros are -12 and -2.
Answer:
(x+12) (x+2)
x(x+12)+2(x+12)
x^2+12x+2x+24
x^2+14x+24
Step-by-step explanation:
Answer:
f(x) = x² + 14x + 24
Step-by-step explanation:
Given the zeros of -12 and -2, then it means that:
x + 12 = 0 and x + 2 = 0
As a proof, if you isolate x, you'll end up with the given values:
x + 12 - 12 = 0 - 12
x = -12
x + 2 - 2 = 0 - 2
x = -2
In terms of using these values into the quadratic function:
(x + 12) (x + 2)
Perform the FOIL method in order to find the quadratic function:
(x + 12) (x + 2)
f(x) = x² + 2x + 12x + 24
f(x) = x² + 14x + 24 ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.
Please help with question got stuck
Answer:
y=4x
Step-by-step explanation:
Help with Algebra 2, forgot how to do it
Answer:
[tex]f(x) = 3 \: \: \: \: for \: \: \: \: - 6 < x < 1 \\ f(x) = - x \: \: \: \: for \: \: \: \: 1 < x < 6[/tex]
4%*57+(7654*34562)-68+1-213=?
Step-by-step explanation:
264537270.28
ok..... oddly..
Please Help!!!!!!!!!!!
what is the ninth term of the arithmetic sequence a(n)=14 + 2(n-1)?
A. 21
B. 23
C. 30
D. 32
Answer:
C= 30
Step-by-step explanation:
Balto” is a 6 year old 35 kg intact husky mix. He presents through the ER after likely being HBC (hit by car) with anisocoria and nystagmus, both signs of head trauma. The doctor instructs you to give 1 g/kg mannitol IV to decrease intracranial pressure. Mannitol is a 20 % solution. How many grams will “Balto” receive? How many mgs? How many mls?
If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
What is percent concentration?Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.
Thus, If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
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Label the figure.
20,24,114,702
Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.
Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.
A.x/3
B.3x
C.x + 3
D.x – 3
Show your solution follow the steps need an answer, please need an answer, please.
Step-by-step explanation:
21. x² - 4x - 5 > 0
→ (x - 5) (x - 1) > 0
{x - 5 > 0
{x + 1 > 0
{x - 5 < 0
{x + 1 < 0
{x > 5
{x > -1
{x < 5
{x < -1
= x < -1 or x > 5
therefore, option A is correct
22). 4p² - 1 ≤ 0
(2p - 1) (2p + 1) ≤ 0
{2p - 1 ≤ 0
{2p + 1 ≥ 0
{2p - 1 ≥ 0
{2p + 1 ≤ 0
{p ≤ 1/2
{p ≥ -1/2
{p ≥ 1/2
{p ≤ -1/2
1/2 ≤ p ≤ 1/2
{p ≥ 1/2
{p ≤ -1/2
-1/2 ≤ p ≤ 1/2
therefore, option A is correct.
23). y < 3x² + 3x - 6
3x² + 3x - 6 = 0
3x² + 6x - 3x - 6 = 0
3x(x +2) - 3(x +2) = 0
(x +2) (3) (-3) = 0
x = -2, 1
this is the correct ans. but their is no option similar to it.
25. x and y are root of
m² - 11m + 18 = 0
hence, x + y = 11
xy = 18
2xy = 36
now, x² + y²
= (x +y)² - 2xy
= (11)² - 36
= 121 - 36
= 85
therefore, option A is correct.
26. x² - 2x - 120
(x -1)² - 1 - 1² = 0
(x -1)² = 1 + 1²
x - 1² = 2
x - 1 = ±√2
1 ± √2
therefore, option A is correct.
hope this answer helps you dear..take care!
Answer:
Step-by-step explanation:
21) x² - 4x - 5 > 0
x² - x + 5x - 5 > 0
x(x - 1) + 5(x - 1) > 0
(x - 1) (x + 5) > 0
x - 1 >0 or x + 5 > 0
x > 1 or x > - 5 Ans: D
22) 4p² ≤ 1
p² ≤ 1/4
p ≤ 1/2 or p ≥ -1/2
-1/2 ≥ p ≤ 1/2
23)y < 3x² + 3x - 6
(1 , -7)
x = 1 and y = -7
-7 < 3*1 + 3*1 - 6
-7 < 3 + 3 - 6
-7 < 0
(1 , -7) satisfies the equation.
Option b
24) 5x² - 7x = 0
a = 5 ; b = -7 ;c = 0
Discriminant = b² - 4ac = 49 - 0 = 0
[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]
x = 0 ; x = 7/5 Option a)
25) m² - 11 m + 18 = 0
m² - 2m - 9m + (-9)*(-2) = 0
m(m - 2) - 9(m - 2) = 0
(m - 2)(m - 9) = 0
m = 2 , 9
x = 2 and y =9
x² + y² = 2² + 9² = 4 + 81 = 85 Option a)
26) x² - 2x - 1 = 0
Add the constant 1 to both sides
x² - 2x = 1
Divide the coefficient of x by 2. 2/2 = 1. Now add this 1 to both sides of the equation.
x² - 2x + 1 = 1+1
x² - 2x + 1 = 2
(x - 1)² = 2
Take square root
x - 1 = ±√2
x = 1 ± √2 Option a)
Claire's suitcase weighs 15 pounds less than her older sisters.
Together the suitcases weigh 109 pounds. How many pounds does
Claire's older sister's suitcase weigh?
bro i read it wrong that's my bad hold on ill get the right one rq
The location of the
circumcenter of TrIangle ABC is:
A. Point D
B. Point E
C. Point F
Answer:
it'd be F
Step-by-step explanation:
just did it on my acellus
The location of the circumcenter of triangle ABC is at ''Point D.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle ABC is shown in figure.
Now,
We know that;
The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.
In figure ABC;
⇒ AD = BD = CD
So, The circumcenter of triangle ABC is at point D.
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what does this mean??
Answer:
"do you mock people's mental states?"
3. Simplify the expression (x3 - 5x2 + 7x - 12) = (x – 4) using long division. Show your work.
Answer:
Answer:
x^2-x+3
Step-by-step explanation:
(x^3-5x^2+7x-12)÷(x-4)
x^3−5x^2+7x−12
Factors of 12,
1,2,3,4,6,12
Substitute 4 into x. Since the result is 0, x-4 is a factor..
4^3−5×4^2+7×4−12=0
x-4
x^2 -x 3
x-4 | x^3 -5x^2 7x -12
x^3 -4x
-x^2 7x -12
-x^2 4x
3x -12
3x -12
x^2−x+3
(x^2−x+3)(x−4)
x−4
(x^2−x+3)
Answer = x^2-x+3
Hopes this helps
please help me if you can. Sorry if it’s blurry
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.
Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?
In St John's school there are 20 rooms that need cleaning. It takes four cleaners two
hours each school day to clean all of the rooms.
How long does each room take to clean ?
Answer:
im a curious cat lolololol
Step-by-step explanation:
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
hello again!
you can calculate the distance between A and B by subtracting
distance = B-A=0.5m-(-1.5)m=2m
PLEASE HELP I NEED TO DO THIS RIGHT
Answer:
C maybe i dunno but gl
Answer:
A
Step-by-step explanation:
Given a function f(x) where the first derivative with respect to x evaluated in two equals
f'(2)=1/2
The slope of the tangent line is
mt=1/2
Therefore, the slope of the normal line is
mn=-1/(1/2)
mn=-2
Evaluating the given point in the general form
y-y1=m(x-x1)
y-(-1)=-2(x-2)
y+1=-2x+4
y=-2x+3
Let p and q Represent the following statement
Answer:
symbolic representation :negation q (~q)
plz mark me brinest
wich one is bigger 4\5 or 0.8
Answer: They both equal the same thing.
Step-by-step explanation: 4/5=0.8
Answer: there both equal
Step-by-step explanation:
4/5 is basically 0.8 cuz 0.8 put a extra 0 in it its gonna say 0.80 and 4 x 20= 80. and that's 80/100 so yea..... 4/5 and 0.8 are equal.
this my first time answering. Sorry if I get it wrong TwT
Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false?
Answer:
A) true
B) true
C) true
hope that helps :)
Multiply. Enter the product in simplest form.
7
9
×
4
7
=
-8+r>-8
please show work
Hello there!
-8+r>-8
Move all the numbers to the right:
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
A new blu-ray player costs $80.99 in the store. What would your total cost be if the sales tax is 5.5%? Round your answer to the nearest cent, if necessary.
Answer:
445.445
Step-by-step explanation:
because I did it and I got it right
Answer: 85.44
Step-by-step explanation: 80.99*0.055
Helppppppppppppppppppppppppppppppppppp
Answer:
The answer would be 7 I hope this helps! : )
Answer:
it's 2
Step-by-step explanation:
if we solve 3×2×1/3
then we will get 2 .
Select True or False for each statement pls.
Statement 1: False
Statement 2: True
Statement 3: True
a data set has these values: 8,10,10,12,12,12,14,14,16.The histogram of the distribution is shown. Which statement does not describe the data set shown?
Answer:
it has a range of 17
Step-by-step explanation:
I just took it
or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be used, what will be the dimensions of the rectangular area?
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
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Estimate the difference by rounding each number to the nearest whole
367.2-294.8
A. 72
B.72.4
C.73
D.80
Answer:
A. 72
Step-by-step explanation:
367.2 -> 367
294.8 -> 295
367
- 295
____
072
if you weren't estimating you would get B because you wouldn't round the numbers.
since the question says to round and then estimate, the answer should be A.
Calculate A woman is walking at a rate of 0.5
m/s. Her mass is 62 kg. Calculate the woman's
kinetic energy in joules.
Answer:
7.75J
Step-by-step explanation:
kinectic energy formula = 1/2mv²
m mass
v velocity
1/2 x 62 x 0.5² = 7.75
A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:
K.E. = 7.75 kgm²/s²
What is Kinetic Energy?
The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
Given,
Mass = 62kg
Velocity = 0.5m/s
The formula for Kinetic Energy is :
K.E. = 1/2 m v².
K.E. = 1/2 (62)(0.5)²
K.E. = 1/2 (62)(0.25)
K.E. = 1/2 (15.5)
K.E. = 15.5/2
K.E. = 7.75 kgm²/s²
or
K.E. = 7.75 joules
Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²
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