What is the solution to (3c)³ - (c-4d)² if c=-2 and d=5
Answers
Answer:
-700
Step-by-step explanation:
Plug in the values for each letter to solve.
(3c)³ - (c - 4d)²
(3(-2))³ - (-2 - 4(5))²
(-6)³ - (-2 - 20)²
(-6)³ - (-22)²
-216 - 484
-700
The solution is -700.
-700
Explanation:
Related Questions
A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation
Answers
Answer:
Find a common denominator on the right side of the equation
Step-by-step explanation:
I was taking the test and couldn't find the answer to this question anywhere so let me help you out...
abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.
(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)
Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;
ax²+bx+c = 0
Step 1: Subtract c from both sides
ax²+bx+c-c = 0-c
ax²+bx = -c
Step 2: Divide both sides of the equation by a
ax²/a + bx/a = -c/a
x² + bx/a = -c/a
Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides
x² + bx/a + (b/2a)² = -c/a + (b/2a)²
Step 4: Square the quantity b/2a on the right side of the equation
x² + bx/a + (b/2a)² = -c/a + b²/4a²
Step 5: Find a common denominator on the right side of the equation which is 4a²
x² + bx/a + (b/2a)² = -4ac/4a² + b²/4a²
Step 6: Add the fractions together on the right side of the equation
x² + bx/a + (b/2a)² = (-4ac+ b²)/4a²
Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.
Step 7: The equation on the left is to be written as a perfect square as shown
(x+b/2a)² = (-4ac+ b²)/4a²
Step 8: Take the square root of both sides
√(x+b/2a)² = √ (-4ac+ b²)/4a²
(x+b/2a) = √(-4ac+ b²)/2a
Step 9: subtract b/2a from both sides
x+b/2a - b/2a = -b/2a + √(-4ac+ b²)/2a
x = -b/2a + √(-4ac+ b²)/2a
Step 10: Add the fractions together on the right-hand side
x = -b±√(-4ac+ b²)/2a
This gives the required equation
Answer: A Find a common denominator on the right side of the equation
Step-by-step explanation: Took the test of FLVS
Which point is an x intercept of the quadratic function f(x)=(x+6)(x-3)
Answers
Answer:
(-6, 0) and (3, 0).
Step-by-step explanation:
There are actually 2 x-intercepts. You will get the x-intercept when f(x) = 0.
f(x) will equal 0 when either (x + 6) = 0 or (x - 3) = 0.
x + 6 = 0
x = -6
x - 3 = 0
x = 3
So, your two x-intercepts will be at (-6, 0) and (3, 0).
Hope this helps!
Which is a valid prediction about the continuous function
f(x)?
f(x) < 0 over the interval (-00, 0).
f(x) > 0 over the interval (-1,00).
f(x) > 0 over the interval [-1, 1].
f(x) < 0 over the interval (0, 2).
pls hurry
Answers
Answer:
Option C.
Step-by-step explanation:
Note: In option C interval should be (-1,1) instead of [-1,1].
From the given table it is clear that the value of f(x) is 0 at x=-1 and x=1.
The value of f(x) is negative over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]. So,
[tex]f(x)<0[/tex] over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]
The value of f(x) is positive over the interval [tex](-1,1)[/tex]. So,
[tex]f(x)>0[/tex] over the interval [tex](-1,1)[/tex]
Therefore, the correct option is C.
Find the area under the standard normal curve to the left of z = 1.5
Answers
Answer:
0.9332
Step-by-step explanation:
Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
-----------------------------------------
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which also represents the area under the normal curve to the left of Z.Looking at the standard normal table:
z = 1.5 has a p-value of 0.9332.Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
A similar problem is given at https://brainly.com/question/6316394
Ordered pair for this point? (The point is circled in Blue)
Answers
Answer:
( -3, 1)
........
Answer:
(-3, 1)
Step-by-step explanation:
The point lies on the line x = -3.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(-3, 1)
What additional information is needed to prove PMO is congruent to PNO by the HL Theorem?
Answers
Answer:
none
Step-by-step explanation:
so we have one of the legs
we have hypotenuse
because:
MP=PN for legs
and they have hypotenuse in common:
OP=OP
Consider the function ƒ(x) = 5(x + 2)2 – 3. Which of the following functions shifts the graph of ƒ(x) upward by 4 units?
Question 17 options:
A)
ƒ(x) = 5(x + 6)2 – 3
B)
ƒ(x) = 5(x + 2)2 + 1
C)
ƒ(x) = 5(x + 2)2 – 7
D)
ƒ(x) = 5(x – 2)2 – 3
Answers
Answer:
The correct answer is letter B.
Step-by-step explanation:
In order to shift any function f(x) in the vertical direction we need to add or subtract the constant number we want to move. In this case we want to shift the function up by 4 units, therefore we need to add 4. The new function, g(x), is shown below.
[tex]f(x) = 5*(x + 2)^2 - 3[/tex]
[tex]g(x) = f(x) + 4\\g(x) = 5*(x+2)^2 - 3 + 4\\g(x) = 5*(x + 2)^2 + 1[/tex]
The correct answer is letter B.
Answer:
D
Step-by-step explanation:
ƒ(x) = 5(x – 2)^2 – 3
describe the rule of continuing this sequence 44, 41, 38, 35, 32
Answers
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3nHELP ME PLEASE 10 POINTS ON IT PLEASE HELP ASAP WITH EXPLANATION PLEASE
Answers
a) 382 mm
b) 505 mm
c) 3162 mm
d) 3103 mm
e) 5008400 mm
f) 9046850 mm
basically, there are 10mm in a cm, so you times by ten,
1000mm in a m so multiply by 1000
1000000mm in a km
Help me please I wold appreciated it
Answers
Answer:
BD=7
ED=5
BE=7
AD=10
AE=5
Step-by-step explanation:
given CD = 7 you use that to find BD and BE because CD´s line length is the same as BD and BE
given BC = 5 you use that to find ED and AE and AD because BC is the same length as ED (they create the same triangle) and than given AE also equals 5 you add ED and AE to get AD
hope this helps
Algebra 1 help please
Answers
3x-9≤12
3x≤21
x≤7
-5x+10≤20
-5x≤10
x≥-2
Answer:
X = 4
Step-by-step explanation:
First, You need to rewrite the expression to look like this
9 - 3x = 12
An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this
3x = 12
Then divide both sides by 3 to get
x = 4
Given that the triangles shown below are similar, what is the value of X?
Answers
Answer:
24
Step-by-step explanation:
Each side from triangle AHM to triangle DPL is divided by 2
32/2 = 16
40/2 = 20
Therefore, 48 / 2 = 24
Answer:
x = 24 (Answer B)
Step-by-step explanation:
Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.
Thus the length of x is half of the corresponding side in the larger triangle, that is: x = half of 48, or x = 24 (Answer B)
SOLVE and CHECK the following word problem. (6 marks)
The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. What
are the dimensions of the rectangle?
Answers
Answer:
x = 8
Step-by-step explanation:
Let us take the breadth as 'x'
breadth = x
length = 3 + x
perimeter = 38m
perimeter of a rectangle = 2 ( l + b )
= 2( x + x + 3 ) = 38
4x + 6 = 38
4x = 38-6
x = 32/4
x = 8
breadth = 8
length = 11
Calculate the original price of these items before the
percentage changes shown. Show all of your working.
a) A coat that costs £46.50
after a 7% price reduction
b) A jumper that costs £32.80 after a price increase of
6%
Answers
Answer:
50 and 30.94
Step-by-step explanation:
aThe coat cost 46.5 pounds after a 7 percent reduction
so we can write:
46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percentusing the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
bThe jumper costs 32.8 pounds after an increase of 6 percent
so:
32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percentusing proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
a. £50
b. £30.94
Step-by-step explanation:
100-7=93
x×93/100=46.50
x×93=46.50×100=4650
x=4650/93=50 £
b.
100+6=106
y×106/100=32.80
y×100=32.80×100=3280
y=3280/106≈30.94£
6. At a bus interchange, a number of passengers boarded a bus. At the first
bus stop, of the passengers alighted the bus and 6 people boarded the
bus. At the 2nd bus stop, of the passengers alighted and 10 passengers
boarded the bus. There were 24 passengers on the bus when it left the
2nd bus stop. How many passengers boarded the bus at the interchange?
Answers
Answer:
The answer is given below
Step-by-step explanation:
Let the number of passengers that boarded the bus at the interchange be x.
At the first bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the bus.
Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]
At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers boarded the bus.
Therefore The number of passengers when the bus left the second bus stop
[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]
Given that there were 24 passengers on the bus when it left the 2nd bus stop
[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]
Therefore 32 passengers boarded the bus at the interchange
Can someone help me solve one of these?
Answers
Answer:
see below
Step-by-step explanation:
When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.
The individual probabilities are ...
D - 1/4
E - 2/4
R - 1/4
__
So, the probability for a sequence like DD is ...
p(D)·p(D) = (1/4)(1/4) = 1/16
Of course, to convert to a percentage, multiply by 100%:
1/16 × 100% = 6.25%
The attachment shows the rest of them.
PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Answers
Answer:
P(X≤57) = 84%
P(X≥57) = 16%
P(47≤X≤57) = 68%
P(X≤47) = 16%
P(X≥47) = 84%
Step-by-step explanation:
We know P(X≤52) = 50%, but this includes the mean as a maximum.
We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.
But if we combine them, we get P(X≤57) = 84%.
We could also say P(X≥57) = 16%.
Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%. So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.
A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?
Answers
Answer:
$325
Step-by-step explanation:
Let x be the price of the washer.
Let y be the price of the dryer.
x + y = 708
x = y + 58
Put x as y+58 in the first equation and solve for y.
y + 58 + y = 708
2y + 58 = 708
2y = 650
y = 650/2
y = 325
Put y as 325 in the second equation and solve for x.
x = 325 + 58
x = 383
The cost of the washer is $383.
The cost of the dryer is $325.
Answer:
Step-by-step explanation:
Cost of dryer = $ d
Cost of washer = d + 58
Total cost = $ 708
d + (d + 58) = 708
2d + 58 = 708
2d = 708 - 58
2d = 650
d = 650/2
d = 325
Cost of washer = 325 + 58 = $ 383
Cost of dryer = $ 325
What is the area of the parallelogram
Answers
Answer:
A = 300 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 20 *15
A = 300 cm^2
A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!
Answers
Answer:
32% of the students did not have a pet.
Step-by-step explanation:
From the total students (100%):
1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.The Quadratic Formula x =
-btvb2 - 4ac
2a
was used to solve the equation 2x + 10x - 6 = 0. Fill in the missing denominator of the solution.
-5+ 37
Answers
Answer:
2
Step-by-step explanation:
I think the answer is 2, because 2a=4, but when simplified, you can divide both the numerator and denominator by 2, making the denominator 4/2= 2.
The missing denominator of the solution is 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
2x² + 10x -6 = 0
Now, using Discriminant Method
x = [ -b ± √ (b² -4ac)] / 2a
Here, a= 2, b= 10 and c=-6
So, x = [ -10 ± √(10² - 4(2)(-6)] / 2(2)
x = [ -10 ± √ 100 + 48]/ 4
x = (-10 ± 2√37)/ 4
x = (-5 ± √37)/2
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ5
What is (-i)5?
A -1
B 1
C -I
D i
Answers
Answer:
-i^5=-i
Step-by-step explanation:
rewrite the equation ;
i^4=1
I^4 *-i = 1*-i=-i
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared
Answers
Answer:
The correct option is:
14 inches
Step-by-step explanation:
The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.
We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.
The area of trapezoid is given as:
Area = ((Top width + Bottom width)/2) · h
Area = ((9+5)/2) · 2
Area = (14/2) · 2
Area = 7 · 2
Area = 14 inch²
Answer:
14
Step-by-step explanation:
Drag steps in the given order to evaluate this expression. −3(−3+2)−6
Answers
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]-3(-3 + 2) - 6[/tex]
Required
Drag the steps
Note that not all steps in the given diagram will be used;
Step 1: Perform Multiplication; 9 + -6 - 6
Step 2: Simplify: -3
Further Explanation:
Step 1 is gotten by opening the bracket;
[tex]-3(-3 + 2) - 6[/tex]
[tex]9 +-6 - 6[/tex]
Step 2 is gotten by solving step 1 further
[tex]9 +-6 - 6[/tex]
[tex]9 - 6 - 6[/tex]
[tex]9 - 12[/tex]
[tex]-3[/tex]
Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min
Answers
Answer:
The correct option is A:
A) Time of flight = 7 hours 5 minutes
Step-by-step explanation:
If
For eastern time zone, t = 12:00 pm
Then, pacific time zone , t = 9:00 am
Which means the pacific time lags 3 hours to eastern time
Time of departure = 9:15 am (eastern time)
TIme of arrival = 1:20 pm (pacific time)
Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.
Converting both in pacific time zone.
Time of arrival = 1:20 pm (pacific time)
Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)
Time of departure = 6:15am (pacific time)
Time of flight = Time of arrival - Time of departure
Time of flight = 1:20pm - 6:15am
Time of flight = 7 hours 5 minutes
X/5-2=11 what is the solution
Answers
Answer:
x=65
Step-by-step explanation:
x/5 - 2 = 11
x/5= 11+2
x/5=13
x=13×5
x=65
Answer:
X = 55 is the answer.Step-by-step explanation:
Question = x/5 - 2 = 11
1. Isolate the variable
x/5 - 2 = 11
+ 2 + 2
x/5 = 11
2. Remove the fraction
x/5 = 11
*5 *5
3. Simplify
x = 55
The answer is x = 55.
Hope this helped,
Kavitha
Please answer I’m not good with math
Answers
Answer: A
Step-by-step explanation:
it's easy
Determine the magnitude of the difference of the following vectors: 7-7
ū=77 - 127
v=-21 +7
12.08
a.
C.
14.21
b. 13.83
d.
15.81
Answers
Hi there! Let’s see if I can help you <3
The Answer is: 15.81!
Here’s the step by step explication:
First we must find the difference of U and V: (7i-12j)-(-2i+j)
Distributed all out will equal: 9i-13j
We can then go ahead and use Pythagorean therm to find the magnitude: V = Square root of (9)^2 + (-13)^2
This equals Square root of 250!
Depending on the form your teacher wants to answer in it would finally be 5 square roots of 10 or in decimal form; approximately 15.8114!
HOPE IT HELPED YOUUU <3
GIVING BRAINLIEST what is 97 - 56 + 12
Answers
Answer:
53
Step-by-step explanation:
When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
53
Step-by-step explanation:
97-56=41
41+12=53
Complete the square to rewrite y= x2 - 6x + 2 in vertex form. Then state
whether the vertex is a maximum or a minimum and give its coordinates.
Answers
Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 6x + 2
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 2
= (x - 3)² - 7 ← in vertex form
with vertex = (3, - 7 ) and a = 1
Since a > 0 then vertex is a minimum
Answer:
The vertex is a minimum.