Answer:
x+27
Step-by-step explanation:
2(2x+11)-(-5+3x)
Distribute
4x +22 +5-3x
Combine like terms
x+27
Answer:
x + 27
Step-by-step explanation:
Given
2(2x + 11) - (- 5 + 3x) ← distribute both parenthesis
= 4x + 22 + 5 - 3x ← collect like terms
= x + 27
For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?
Answer:
[tex]\displaystyle k = \frac{5}{6}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]
And we want to find the value of k such that the equation has two real and equivalent roots.
Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:
If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.First, rewrite our equation:
[tex](2k+1)x^2 -8x + 6 =0[/tex]
The discriminant is given by:
[tex]\displaystyle \Delta = b^2 -4ac[/tex]
In this case, b = -8, a = (2k + 1), and c = 6.
Therefore, the discriminant is given by:
[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]
For it to have two equal roots, the discriminant must be zero. Hence:
[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]
Hence, the value of k is 5/6.
can you please tell me the answer I don't know
Answer:
Twenty-eight billion five hundred forty-two million rupees
28,542,000,000 rupess
or, 28.542 × 10⁹ rupees
Arrange the terms of each polynomial so that the powers of X are in descending order. Please help
Answer:
you use the FOIL method
Step-by-step explanation:
First
Inner
Outer
Last
you just distribute the numbers to all of the others then simplify.
ex.
(x+4)^2
(x+4)(x+4)
x^2+4x+4x+16
x^2+8x+16
in this, x times x is x^2. then x times 4 is 4x and 4 times x is 4x and 4 times 4 is 16. then combine like terms
Type the correct answer in each box. Use numerals instead of words,
Cassie's age is 3 less than twice Kara's age. The sum of their ages is 42.
Create an equation to find Kara's age, n.
nt(
[
70
Answer: x + 2x - 3 = 42 is the equation and kara is 15 years old and cassies is 27 years old.
Step-by-step explanation:
Let age of kara be x years
Cassie's age will be 2x-3 years
ATQ
x + 2x-3 = 42
3x = 42+3
3x = 45
x = 45/3
x = 15
Kara's age = 15 years
Cassie's age = (15×2)-3
= 30-3
= 27 years
please click thanks and mark brainliest if you like :)
Answer:
Step-by-step explanation:
An adult blue whale can eat 4.0 x 107 krill in a
day. At that rate, how many krill can an adult
blue whale eat in 1.45 x 102 days?
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION
8. PLEASE HELPP!! Find the area of the shaded sector. Leave your answer in terms of .
Answer:
Area of a complete circle = PI * r^2
The shaded area is 1/3 of the circle so
Area = (PI * 9^2) / 3
Area = (254.4690049408) / 3
Area = 84.8230016469
Area = 84.82 square feet (rounded)
Step-by-step explanation:
[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]
Answer:
x = 4
Step-by-step explanation:
1/5x + 4/5 = 8/5
Multiply each side by 5 to get rid of the fractions
5(1/5x + 4/5) = 8/5 *5
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
I need help ASAP!!! PLEASE EXPLAIN ANSWER
Answer:
351.9
Step-by-step explanation:
Surface Area of cylinder = 2πrh+2πr^2
2π(4)(10) + 2π(4)^2
= 351.9
answered by g a u t h m a t h
-170=-7(8n-7)+5 please help
Answer:
n=4
Step-by-step explanation:
Let's get rid of the parenthesis first. We're left with -170=-56n+49+5. Let's move all of the numbers together so that the variable is separated from the numbers. Now we have 56n=224 using inverse operations. If we divide both sides by 56, we're left with n=4.
Hope this helped!
Answer:
n = 4
Step-by-step explanation:
-170=-7(8n-7) +5
-170=-56n+49+5
-170=-56n+54
-170+56n=54
56n=170+54
56n= 224
n=4
Condition for increasing decreasing and concavity of function
Answer:
If the concavity of f changes at a point (c,f(c)), then f′ is changing from increasing to decreasing (or, decreasing to increasing) at x=c. That means that the sign of f″ is changing from positive to negative (or, negative to positive) at x=c. This leads to the following theorem
Step-by-step explanation:
The previous section showed how the first derivative of a function, f′ , can relay important information about f . We now apply the same technique to f′ itself, and learn what this tells us about f . The key to studying f′ is to consider its derivative, namely f′′ , which is the second derivative of f . When f′′>0 , f′ is increasing. When f′′<0 , f′ is decreasing. f′ has relative maxima and minima where f′′=0 or is undefined. This section explores how knowing information about f′′
Let f be differentiable on an interval I . The graph of f is concave up on I if f′ is increasing. The graph of f is concave down on I if f′ is decreasing. If f′ is constant then the graph of f is said to have no concavity.
Note: We often state that " f is concave up" instead of "the graph of f is concave up" for simplicity.
The graph of a function f is concave up when f′ is increasing. That means as one looks at a concave up graph from left to right, the slopes of the tangent lines will be increasing. Consider Figure 3.4.1 , where a concave up graph is shown along with some tangent lines. Notice how the tangent line on the left is steep, downward, corresponding to a small value of f′ . On the right, the tangent line is steep, upward, corresponding to a large value of f′ .
Can anyone help me with this question?
x^{2} + 7x -144
quadratic equations
Answer:
?
Step-by-step explanation:
Brainly challenge.
What does 2x+1=3x-4 equal?
Answer:
5
Step-by-step explanation:
2x + 1 = 3x - 4
-2x -2x
--------------------
1 = x - 4
+4 +4
----------------
5 = x
The answer is 5.
Hope this helped.
if the cost of 2:dozen copies is Rs 720 , find the cost of 72 copies .
Answer:
Rs 2160
Step-by-step explanation:
1 dozen = 12 copies
2 dozen = 24 copies ( 2*12)
72÷12 = 6 dozen
72 copies = 6 dozen
1 dozen = Rs 720÷2
1 dozen Rs 360
6 dozen = 360*6
6 dozen = 72 copies = Rs 2160
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Step-by-step explanation:
tujh vitamin ve j hhhjuhhujuhhggggggggggggAnswer:
The answer is C 93.6
Step-by-step explanation:
The volume of a triangular prism: [tex](\frac{base*height}{2} ) * height of the prism[/tex]
so
[tex]\frac{(8)*(3.9)}{2} *4 = 93.6[/tex]
What is the quotient when the polynomial 4x2 - 2x - 12 is divided by 2x - 4?
PLEASE HELP I WILL MARK YOU BRAINLIEST IF CORRECT
Sure, I will help you. The answer you are looking for is x=11.
Solution/Explanation:
Write out the equation:
3(x+5)=5x-7
Using the Distributive Property on the LEFT SIDE,
3x+15=5x-7
Next, subtracting 3x from both sides,
3x-3x+15=5x-3x-7
15=2x-7, or 2x-7=15
2x-7=15
Now, adding seven to both sides,
2x-7+7=15+7
2x=22
Finally, dividing both sides by 2,
So, therefore the final answer is x=11. And, also, the next step would be written as 3x+15=5x-7, as stated above, preliminarily.
I hope this helped you find your answer. Enjoy your day, and take care!
The answer you are looking for is 3x+15=5x-7. But, the answer is x=11.
Michelle gets10rewards points for each of her purchases at Starbucks. With 500 rewards points, she can get a free smoothie. If she has 370 points saved, how many purchases will it take her to get her free smoothie?
she needs 130 points saved up
Answer:
13
Step-by-step explanation:
which of the following is a quotient of the rational expressions shown here?
Answer:
x^2+x
--------
x-1
Step-by-step explanation:
x 1
------ ÷ --------
x-1 x+1
Copy dot flip
x x+ 1
------ * --------
x-1 1
x(x+1)
-------
x-1
x^2+x
--------
x-1
Chapter 9-4 composition of isometrics (anyone pls help me TwT)
Both answers are "translation" which is the same as up/down/left/right shifting.
Refer to the diagram below to see how the reflections combine to form this shifting. A composition of two reflections always leads to a translation whenever the mirror lines are parallel. The direction of the shifting is perpendicular to the parallel lines. If the mirror lines intersected, then we'd have a rotation instead.
I used GeoGebra to create the diagram.
30 in.
20 in.
36 in.
Find the area of the trapezoid shown above.
[?] square inches
Answer:
660 in^2
Step-by-step explanation:
The formula to calculate area of trapezoid : (a+b)/2*h (a: base, b: base, h: height)
(30+36)/2*20 = 660 in^2
I need help finding y
to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:
[tex] {t}^{3} [/tex]
on the right side.
Subtracting 3, and we have successfully isolated y.
It would be impossible to get a quantitative value for y if we don't know the value of t.
respuesta listsdafddfssdffd
hdndnndndndndnndndndndnbd
Answer:
Hshushahhahaa
Hdhddjkddjdkjd
What is the value of x in the figure below? In this diagram, ABD ~ CAD.
A. 16/5
B. 16
C. √160
D. √5
E. 8
F. 25/4
Answer:
F an amazing result.
Step-by-step explanation:
I'm sure I didn't do this the way it was intended, but I think I got it right.
First of all, we have to agree that CAB is marked as a right angle. If you do not agree, leave a note.
Step One
Find the length of AC
BC = 16
AB = 10
AC^2 = BC^2 - AB^2
AC^2 = 16^2 - 10^2
AC^2 = 256 - 100
AC^2 = 156
AC = SQRT(156)
AC = SQRT(4*13 * 3)
AC = 2 SQRT(13)
Step Two
Find the height (AD)
There are two ways to find the area of the large triangle ABC
Area = 1/2 * 16 * AD and
Area = 1/2 AC * 10 The two legs.
Since these areas must be equal, equate them. You are looking for AD
16 * AD = 2*sqrt(39) * 10 Divide by 16
AD = 20* sqrt(39)/16
AD = 5 * sqrt(39) / 4
Step 3
Find x or DB
DB^2 = 10^2 - [(5 *sqrt(39)/4]^2
DB^2 = 100 - 25*39/16
DB^2 = 100 - 60.9375
DB^2 = 39.0625
DB = SQRT(39.0625)
DB = 6 1/4
6 1/4 is the same thing as 25/6 which is F
Answer:
F. 25/4
Step-by-step explanation:
just took the quiz
1.11(5) - 11(4) =
2.8(-3 + 2) =
3.6(9) - 4(6) =
4.7(4) - 2(0) =
5.15(3) - 2(12) =
6.9(5 + 3) =
7.12(2) - 7(2) =
8. 8(3) =
9.(6)6) =
10.11(9) =
11.8(5) - 2(7) =
12.5(n) =
13.5y(2) =
14.13(x + 2) =
15. 16(5x - 8) =
16.23y( 2 + 4) =
Answer:
1) 11
2) -8
3) 30
15) 80x - 128
16) 138y
Step-by-step explanation:
For these problems, you will need to use either PEMDAS or distributive property.
PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.
Example of PEMDAS:
2) 8(-3 + 2)
Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.
-3 + 2 = -1 so the problem will now look like:
8 (-1)
Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:
8 × -1 = -8
-8
Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.
Example of distributive property:
2) 8(-3 + 2)
Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:
8 × -3 and 8 × 2
The problem should look like:
-24 + 16
Then solve:
-8
Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.
1)
11(5) - 11(4)
55 - 44
11
3)
6(9) - 4(6)
54 - 24
30
15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*
16(5x - 8)
80x - 128
*You can only combine like terms so this is fully simplified*
16)
23y(2 + 4)
46y + 92y
138y
In the diagram below, PQ is parallel to MN. Solve for 2. Round your answer to the
nearest tenth if necessary.
X=
Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for the pigs. If it costs $1.13 per cubic meter to purchase the corn, how much will it cost to fill up the whole silo?
Answer:
Half-Sphere Volume = [( π •diam³) / 6] / 2
Cylinder Volume = ¼ • π • diam² • height
Cylinder height = 19 meters
Sphere diameter = 10 meters
Cylinder portion = ¼ • π • diam² • height
Cylinder portion volume = ¼ • π • 10² • 19
Cylinder portion volume = 1,492.26
Half-Sphere Volume = [( PI * 10^3) /6 ] / 2
Half-Sphere Volume = 261.80
Total Volume = 1,492.26 + 261.80 = 1,754.06 cubic meters
corn is $1.13 per cubic meter
total cost = 1,754.06 * $1.13 = 1,982.08
Answer is C 1,981.08
Step-by-step explanation:
If a = 4 -√15, find a^4 + 1/a^4
Please answer this question with correct steps. I will mark brainliest
Answer:
Hello,
3842
Step-by-step explanation:
[tex]a=4-\sqrt{15} \\\\\dfrac{1}{a} =\dfrac{1}{4-\sqrt{15}} \\\\=\dfrac{4+\sqrt{15}}{(4-\sqrt{15})*(4+\sqrt{15})}\\\\=\dfrac{4+\sqrt{15}}{16-15} \\\\=4+\sqrt{15}\\\\[/tex]
[tex]a+\dfrac{1}{a} =4-\sqrt{15}+4+\sqrt{15}=8\\\\[/tex]
[tex](a+\dfrac{1}{a} )^2=a^2+\dfrac{1}{a^2} +2\\\\a^2+\dfrac{1}{a^2} =8^2-2=62\\[/tex]
[tex](a+\dfrac{1}{a} )^3=a^3+\dfrac{1}{a^3} +3*\dfrac{a^2}{a} +3*\dfrac{a}{a^2} \\\\8^3=a^3+\dfrac{1}{a^3} +3(a+\dfrac{1}{a} )\\\\a^3+\dfrac{1}{a^3} =8^3-3*8=488\\[/tex]
[tex](a+\dfrac{1}{a} )^4=a^4+\dfrac{1}{a^4} +4*\dfrac{a^3}{a} +6*\dfrac{a^2}{a^2} +4*\dfrac{a}{a^3}\\\\a^4+\dfrac{1}{a^4}=(a+\dfrac{1}{a} )^4-4*a^2-4*\dfrac{1}{a^2} -6\\a^4+\dfrac{1}{a^4} =8^4-4*62-6\\\\=4096-248-6\\\\=3842\\\boxed{a^4+\dfrac{1}{a^4} =3842}\\[/tex]
Using a calculator:
[tex]a=4-\sqrt{15}=0,1270166537925831148207346002176....\\\\a^4= 2,6028112122495108436170792979303e-4\\\\\dfrac{1}{a} =4+\sqrt{15} =7,8729833462074168851792653997824...\\\\\dfrac{1}{a^4}=3841,9997397188787750489156382921....\\\\a^4+\dfrac{1}{a^4} \\\\= 2,6028112122495108436170792979303e-4+3841,9997397188787750489156382921....\\\\=3842\\[/tex]
Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42
Answer:
The answer for this question is A
Mrs . Garrett has 24 students in her class , if 14 students are girls , what is the ratio of girls to the total number of students in her class ?