Answer:
k = ±6
Step-by-step explanation:
guess your question is 4k²–144 = 0??
4k² = 144
k² = 36
k²–36 = 0
(k+6)(k–6) = 0
k+6 = 0 | k–6 = 0
k = –6, k = 6.
Alternatively; k = ±6.
Graph the functions on the same coordinate axis.
S f(x) = x + 1
1 g(x) = x² - 6x - 7
What are the solutions to the system of equations?
Select each correct answer.
(1, 2)
(6, 7)
(-1,0)
(-8, – 7)
(8,9)
Answer:
(-1,0) and (8,9)
Step-by-step explanation:
The solution will be obtained when f(x) = g(x)
Mathematically;
x + 1 = x^2-6x-7
x^2-6x-x-7-1 = 0
x^2-7x-8 = 0
x^2-8x + x -8 = 0
x(x-8) + 1(x-8) = 0
(x+1)(x-8) = 0
x = -1
x = 8
so let us get the f(x) and g(x) values
For x + 1
-1 + 1 = 0
8 + 1 = 9
Points are;
(-1,0) and (8,9)
pls help....thanks..
Answer:
Hey there!
The answer is 120 because 10x12 + 120.
Hope this helps
Mr.Ramirez purchased 20 concerts
Answer:
and then what?
Step-by-step explanation:
Tim knows that he can travel a distance of 240 miles when his car’s gas tank is filled to its capacity. The capacity of his car’s gas tank is 12 gallons. Which best describes the domain of the function? only integers where 0 ≤ d ≤ 12 only integers where 0 ≤ , d , ≤ 12 only integers where 0 ≤ d ≤ 240 only integers where 0 ≤ , d , ≤ 240 all real numbers where 0 ≤ d ≤ 12 all real numbers where 0 ≤ , d , ≤ 12 all real numbers where 0 ≤ d ≤ 240
Answer:
Step-by-step explanation:
0 ≤ d ≤ 12 all real
What is eight and two ninths subtracted by 2 and seven ninths
Answer:
5 4/9
Step-by-step explanation:
8 2/9 - 2 7/9
Converting the numbers from mixed Fraction :
(74/9 - 25/9)
L.C.M = 9
(74 - 25) / 9
= 49 / 9
= 5 4/9
Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2
Answer:
The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"
Step-by-step explanation:
Given:
[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]
Solve:
[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]
differentiate the above equation:
[tex]\to g'(x) = 4x^3- 1[/tex]
Given that:
[tex]\to g'(x)= \frac{1}{2}[/tex]
[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]
Mr. Kaffey used a full 3-liter bottle of soda to fill two containers. He put 0.276 liter of soda in the first container. He put 0.92
liter of soda in the second container. How many liters of soda remained in the bottle?
Answer:
1.804 L
Step-by-step explanation:
help me if you can plss BRAINLYEST
Answer:
The answer is 81
Step-by-step explanation:
prove me wrong
Answer:
Choice D
Step-by-step explanation:
For this you have to distribute the exponent on the outside to the inside. So we will multiply 4 and [tex]\frac{1}{4}[/tex]. That will equal 1. So now we have [tex](81^1)[/tex] and anything to the power of 1 is itself. So the answer is 81.
(2⁵ + 14 ÷ 2) • 2 pls help ;-;
Answer:
78
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
(2⁵ + 14 ÷ 2) · 2
Step 2: Evaluate
[Parenthesis] Exponents: (32 + 14 ÷ 2) · 2[Parenthesis] Divide: (32 + 7) · 2[Parenthesis] Add: 39 · 2Multiply: 78I NEED HELP ASAP PLEASE !!!! If point B 1,2 is reflected across the x axis what will be its new position
A. 1,-2
B 2,-2
C 1,2
D -1 , 2
Answer:
the answer is D
Step-by-step explanation:
I hope this helpsbuuu
100 points!
Can someone help me? Here are the choices
- associative property of addition
- associative property of multiplication
- commutative property of addition
- commutative property of multiplication
- distributive property
Mr. Lester's maximum heart rate is 180 beats per minute. When he exercises at the gym.
Mr. Lester's target rate is 60% of his maximum heart rate
Answer: 108
Step-by-step explanation: 60% of 180 is 108
Answer:
Write 60% as a rate per 100. -- 60% = 60/100
Write 60/100 as a decimal. -- 60/100 = 0.6
What is Mr. Lester's target heart rate? -- 0.6 (180) = 108 beats per minute
In psychological theory, there are 66 types of basic instincts in a human being, and personality is determined by the presence or absence (2(2 choices) of these 66 basic instincts. How many different types of personalities can be identified
Answer:
2145
Step-by-step explanation:
Given that:
Number of basic instincts present = 66
Number of choices = 2
Using combination :
nCr = n! / (n - r)! r!
66C2 = 66! / (66 - 2)!2!
66C2 = 66! / 64!2!
66C2 = (66 * 65) / 2
66C2 = 2145 different personalities
Can someone please help!!
Answer:
AB = 3 and AC = 4
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{WX}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values
[tex]\frac{AB}{30}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )
30AB = 90 ( divide both sides by 30 )
AB = 3
and
[tex]\frac{AC}{XY}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values
[tex]\frac{AC}{40}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )
30AC = 120 ( divide both sides by 30 )
AC = 4
Answer:
AB = 3AC = 4Step-by-step explanation:
Let AB = xLet AC = yGiven
ΔWXY ~ ΔBAC
Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so
WY/ BC = XW/AB
substitute WY = 30, BC = 3, XW = 30, AB = x
30 / 3 = 30 / x
x = [30 × 3] / [30]
x = 90 / 30
x = 3
Thus,
AB = 3
now
WY/ BC = XY/AC
substitute WY = 30, BC = 3, XY = 40, AC = y
30 / 3 = 40 / y
y = [40 × 3] / [30]
y = 120 / 30
y = 4
Thus,
AC = 4
Therefore,
AB = 3AC = 4Which system of equations is graphed below?
Answer:
Step-by-step explanation:
the red line looks like it's y = -3/4x +1
the blue line looks like it's y = x - 6
Maybe in the picture all the choices are not seen?
Select ALL figures that are similar to parallelogram P
Answer:
A & C
Step-by-step explanation:
A is similar to P
C is also similar because it has same size of diameters
Solve the system of equations below
Answer:
The answer is B. (-7,-2)
Step-by-step explanation:
Multiply the first equation by 7,and multiply the second equation by -6.
7(−3x+6y=9)
−6(5x+7y=−49)
Becomes:
−21x+42y=63
−30x−42y=294
Add these equations to eliminate y:
−51x=357
Then solve−51x=357for x:
−51x=357 Divide both sides by -51
x=-7
Write down an original equation:
−3x+6y=9
Substitute−7forxin−3x+6y=9:
(−3)(−7)+6y=9
6y+21=9(Simplify both sides of the equation)
6y+21+−21=9+−21(Add -21 to both sides)
6y=−12
y=-2
Answer:
-7-2
Step-by-step explanation:
100 POINTS PRE-CALCULUS
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
are the component forms for the air and wind vectors.
The ground speed, G, of the plane is given by
.
Answer:
not sure for the 1st one but pretty sure 2nd one is B
Step-by-step explanation:
The ground speed (G) is given as
[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex].
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]\rm x = - 600\ sin 30\\\\x = - \dfrac{600}{2}= -300\\\\y = -600 \ cos30\\ \\y= -\dfrac{600 \sqrt{3}}{2}[/tex]
The component of wind will be
[tex]\rm x = 40 cos 60\\\\x = \dfrac{40}{2} = 20 \\\\y = 40sin 45\\ \\y= \dfrac{40\sqrt3}{2}[/tex]
Then the ground speed will be
[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
https://brainly.com/question/13188123
A craft show has an admission fee of $1.50 for children and $4.00 for adults. On Saturday 155 people came to the carnival and $520 was collected. How many children came to the craft show?
Much Appreciated <3
PLease this is so easy I promise
Answer:
1/1
2/1
Step-by-step explanation:
(x4)2
Find the product
Answer:
8
x
Step-by-step explanation:
pretend the 8 is a exponent
Answer:
[tex]x^{8}[/tex]
Step-by-step explanation:
whenever exponents are separated by parentheses, multiply them
example: [tex](4x^{3})^2[/tex] = [tex]4^{2}[/tex]·[tex]x^{6}[/tex] = 16[tex]x^{6}[/tex]
HELP WILL GIVE BRAINLIEST!!!!!
Answer:
D
Step-by-step explanation:
For sure, it cannot be easily explained. Plus you need this answer now. CORRECT AND CHECKED!
Plz help!!! (Picture included)
Answer:
12.8
Step-by-step explanation:
First cube the 3 to get 27.
Then, multiply 2 by 12/5 to get 24/5.
Remove the parentheses and then add 27 with 6 to get 33.
Then divide -24 by 5 to get -4.8.
Add -4.8 with 33 to get 28.2.
Then subtract 15.4 from 28.2 to get 12.8
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answer:
Equation of line passing through ( 2,2) in point slope form is y-2=3 (x-2)
Step-by-step explanation: hop this helps you
Answer:
y=2x-1 is the answer in y=mx+b form.
Adriana bought p packs of baseball cards. There are 4 cards in each pack. Write an expression that shows how many baseball cards Adrian a brought.
9514 1404 393
Answer:
4p
Step-by-step explanation:
Since there are 4 cards in each pack, the number of cards is 4 times the number of packs:
4p . . . . number of cards Adriana bought
The teather has 384 seats. Each row has 16 seats. The area model represents the situation. How many rows of seats are inside the theather?
Answer:
24 rows of seats
Step-by-step explanation:
384/16 Equation ( 384 in all, and 16 in each)
24 Solve
pls help!! I need this answer asap! and I need to find the area in this so it would be great if one of you guys could help thank you!!!
Answer:
63 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 9 = 7 × 9 = 63 m²
If DF=61 and EF=18 find DE.
Answer:
43
Step-by-step explanation:
x + 18 = 61 (we're given the total length and one part, so it can be rewritten like this!)
x = 43
hope this helps!
The population of a town decreases exponentially at a rate of 1.7% per year.
The population now is 250 000. Calculate the population at the end of 5 years
Give your answer correct to the nearest hundred.
Answer: 229,500 people to the nearest hundred
Step-by-step explanation:
Population decreases exponentially at 1.7% per year in a town that is currently 250,000 in number.
Population in 5 years = 250,000 * ( 1 - 1.7%) ⁵
= 250,000 * 0.917841286185143
= 229,460
= 229,500 people to the nearest hundred
Fill in the table using this function rule y=-6x-2 -1,0,1,5
Answer:
-1 = 4
0 = -2
1 = -8
5 = -32
Step-by-step explanation:
trust