Answer:
1. Putting x = 0.5, y = -1/10 gives 0.44
2. Putting x = -1, y = -3 gives 14
3. Putting x =3/4 , y = 2/5 gives 1.665
4. Putting x = 0, y = 2.5 gives - 11.25
5. Putting x = √2, y = √2 gives 17
6. Putting x = 2, y = -1 gives - 1
Step-by-step explanation:
-3x2 + 2y2 + 5xy - 2y + 5x2 - 3y2
1. Putting x = 0.5, y = -1/10
-3(0.5)^2 + 2(-1/10)^2 + 5(-0.05) - 2(-1/10) + 5(0.5)^2 - 3(-1/10)^2
= -0.75 +0.02 - 0.25 +0.2 + 1.25- 0.03
= 0.44
2. Putting x = -1, y = -3
-3(-1)^2 + 2(-3)^2 + 5(3) - 2(-3) + 5(-1)^2 - 3(-3)^2
= -3 +18 +15+6+5-27
= 14
3. Putting x =3/4 , y = 2/5
-3(3/4)^2 + 2(2/5)^2 + 5(6/20) - 2(2/5) + 5(3/4)^2 - 3(2/5)^2
=- 27/16 +8/25 +30/20 -4/5 +45/16 - 12/25
= 18/16 - 24/25 + 30/20
= 18/16 - 96+150/100
= 18/16 +54/100
= 1800+ 864/1600
= 2664/1600
=1.665
4. Putting x = 0, y = 2.5
-3(0)^2 + 2(2.5)^2 + 5(0) - 2(2.5) + 5(0)^2 - 3(2.5)^2
= 12.5 - 5.0 - 18.75
= -11.25
5. Putting x = √2, y = √2
-3(√2)^2 + 2(√2)^2 + 5(√2.√2) - 2(√2) + 5(√2)^2 - 3(√2)^2
= -6 +4+10-4+19-6
= 17
6. Putting x = 2, y = -1
-3(2)^2 + 2(-1)^2 + 5(-2) - 2(-1) + 5(2)^2 - 3(-1)^2
= -12+2 -10 +2 +20 -3
= -1
Model Cars, Inc. makes red cars, white cars, and blue cars. The profit on a blue car is $10 more than the profit on a white car. The profit on a red car is $7 less
than the profit on a white car. If the profit on two red cars is $2 less than the profit on one blue car, what is the profit on a blue car?
please help me :(
Answer:
Let b = profit on a blue car
w = profit on a white car
r = profit on a red car
b = w + 10 (1)
r = w - 7 (2)
2r = b -2
2r-b= -2 (3)
Subtract eq. (2) by 2q. (1)
r - b = 0 - 7 - 10
r - b = -17 (4)
Subtract eq. (3) by eq. (4)
r - 0 = -2 - (-17)
r = 15
in eq (2)
r = w - 7
15 = w - 7
w = 22
in eq (1)
b = w + 10
b = 22 + 10
b = 32
The profit on a blue car is $32
Step-by-step explanation:
THE ANSWER IS 32
Answer:
The profit on a blue car is $32
Step-by-step explanation:
40.08 kilograms to grams
Answer:
40080g
Step-by-step explanation:
hope it helps
Answer:
40,080 grams
Step-by-step explanation:
kilograms to grams is always times 1,000 so 40.08 x 1,000 moves the decimal over 3 times for the three 0s. this gets you your answer: 40,080.
hope this helps :))
Point Slope Form : y - y1 = m(x- x1) Write the equation of the line described that passes through (-8,-5), parallel to y = -3x + 9
Answer:
y + 5 = -3(x + 8)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Parallel Lines always have the same slope but different y-intercepts.
Step-by-step explanation:
Step 1: Define
Given (Parallel Line): y = -3x + 9
Point (-8, -5)
Step 2: Find variables
Slope m of parallel lines = -3
Step 3: Find parallel line equation
y₁ = -5
x₁ = -8
m = -3
y + 5 = -3(x + 8)
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Find the common difference for the sequence shown
SUPER EASY
1/4, 5/16, 3/8, ...
A. 1/16
B. 1/4
C. 1/2
Answer:
B.
Step-by-step explanation:
divide the 2nd term to 1st term of sequence
What would be the ending balance in an account if $3,500 is invested at
6% for seven years using simple interest?
Answer:
$4,970
Step-by-step explanation:
Your cellar is damp, so you buy a 50-pint dehumidifier. How many gallons is that?
Answer:
6.25
Step-by-step explanation:
divide the volume value by 8
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
a square and an equilateral triangle have the same perimeter. Each side on the triangle is 1 inch longer than the side of the square. What is the perimeter of the square
Answer:
48 inches
Step-by-step explanation:
Given:
A square and an equilateral triangle have the same perimeter
Each side of the triangle is 4 inches longer than each side of the square.
What to find:
What is the perimeter of the square =?
Solution:
Let the side of the square be
Then the side of the triangle will be
The Perimeter of square = Perimeter of an equilateral triangle
=
Subtracting both sides by
side of the square, = 12 inches
side of triangle will be , 12 + 4 = 16 inches
Now, the perimeter of the square =
Therefore, the perimeter of the square is 48 inches.
and your pfp is so cute!!
12y-3x=-72 standard time slope intercept simplified
Answer: exact form: y= -23/4
Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.
Answer:
y= 1/4 x - 6
Step-by-step explanation:
Use the original price and the markup to find the retail price.
Original price: $46; Markup: 10%
The retail price is $____
Please include work to ensure that you did not make up the answer for points.
Answer:
50.6
Step-by-step explanation:
46*.1=4.6
46+4.6=50.6
Hello
Can you help please find the answer c ?
Use rounding to estimate the product. Is your estimate an underestimate or an overestimate?
11.45 × 5
Answer:
It is an overestimate.
Step-by-step explanation:
If you round 5 to the nearest 10, you get ten. If you round 11.45, to the nearest ten, you also get 10. Your estimate is 100. Your real answer is 57.25.
Convert 75 F to Celsius. Enter your answer as number only. Round to the nearest tenth.
Answer:
23.9
Step-by-step explanation:
(75 - 32) x 5/9 = 23.888888888888888888
what is 36 X (6) +1 plz i really need helpp
Answer: 217
Step 1: Multiply 6 by 36. (PEMDAS)
6 x 36 = 216
Step 2: Add 1. (PEMDAS)
216 + 1 = 217
Answer = 217
Answer:
217 is the answer hope this helps
4/6:1/3 as a unit rate
Answer:
4/6=0.67 1/3=0.3
Step-by-step explanation:
help me plzzzzzzzzzzzzzzzzzzzzz
Answer:
$1.25
Step-by-step explanation:
10-2.50=7.5
7.5/6=1.25
hope this helps :3
Answer: $1.25
Step-by-step explanation:
10-total
(1 notebook)-2.50, 6 pens
10-2.50=7.50
7.50/6(pens)=1.25
How many ounces of trail mix are in a bag that weighs 0.5675 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)
Answer:
20
Step-by-step explanation:
Since 0.454 kg = 1 pound,
0.5675 kg = [tex]\frac{0.5675}{0.454}[/tex] pound = 1.25 pounds= (1.25 * 16) ounces = 20 (ounces)
Answer:
0.5675
Step-by-step explanation:
16/0.454 = x/0.5675...16 oz to 0.454 kg = x oz to 0.5675 kg
cross multiply
0.454x = 16(0.5675)
0.454x = 9.08
x = 9.08/0.454
x = 20.....20 oz are in 0.5675 kg
There is a relationship between the expected number of tickets sold for points
a raffle and the dollar value of the prize for the roftle. The equation T. 7 =
150 describes this relationship, where is the expected number of tickets
sold, and is the dollar value of the roffle prize. Suppose the expected
ticket sales for a certain raffle ore 1550. Determine the dollar value of the
raffle prize
Answer:
200
Step-by-step explanation:
If the equation is T-7p=150, and 1550 tickets are sold, T would be equal to 1550. So the equation becomes 1550-7p=150. Add 150 to both sides to get 1400-7p=0. then add 7p to both sides to get 1400=7p. Divide by 7 to get 200=p
PLEASE HELP I WILL GIVE THE BRAINIEST!!!! solve r to the nearest tenth of a centimetre
Answer:
11.75 cm
Step-by-step explanation:
sin50° = [tex]\frac{9.0cm}{v}[/tex]
[tex]v=\frac{9.0cm}{sin50} = 11.75 cm[/tex]
When five is added to three more than a certain number, the result is 19. What is the number?
Answer: 11!
Step-by-step explanation:
Identify the y-intercept
A. 0-2
B. 0-3
C. 0-4
D. 6-2
What role early cells played in shaping life on earth?
Answer:
Present-day cells evolved from a common prokaryotic ancestor along three lines of descent, giving rise to archaebacteria, eubacteria, and eukaryotes.
Changed the composition of the oceans. Most of the iron was precipitated out by early life.
Changed the composition of the atmosphere. Oxygen became available in abundance.
plz help ASAP please please
Answer:
9030.75
Step-by-step explanation:
5039.16/.558=9030.752688
round to the nearest hundredth
9030.75
i think
7 Expand and simplify where necessary
a 3(4p + 1)
b -6(3T + 5)
ç 4(3x – 2y) + 4(x + 4y)
d 7(2m - 3) - 9(y - 1)
Summary
7 Expand and simplify where necessary
a 3(4p + 1)
b -6(3T + 5)
ç 4(3x – 2y) + 4(x + 4y)
d 7(2m - 3) - 9(y - 1)
Summary
pretty simple dont suck
how the expressions 27 and 2.7 alike
27 is 2.7 times 10 and 2.7 is 27 ÷ 10
x-14<-6x+7≤13 solve for x
Answer:
−1 ≤ x < 3
Step-by-step explanation:
Solve the system of inequalities.
X must be equal to or greater then -1 and smaller then 3.
You options are -1, 0, 1, & 2
(01.01 LC)
Evaluate the following: -3 -(-6). (5 points)
-3
-18
-9
3
Answer:
(+) 3
Step-by-step explanation:
-3 -(-6)
Double negative = positive
-3 + 6
3
There are 16 boys and 4 girls in Ms. Joyner's 6th grade homeroom. What is the ratio of boys to students in Ms. Joyner's 6th grade homeroom?
5 to 3
4 to 5
5 to 4
4 to 1
Answer:
4 to 1
Step-by-step explanation:
4x4=16
4x1=4
Answer:
The answer is d.) 4 to 1
is 13/3 rational or irrational and why?
Answer:
The decimal form of 13/3 is a rational number. and decimals are rational
