Step-by-step explanation:
Replace x by -3 in
F(x) = 9x - 4
F(-3) = 9(-3)-4
= -27-4
= -31
Simplify
6 minus the square root of 25 over 4
I would appreciate some help :)
Solve for d in the proportion.
10/15 equals d/12
Answer:
8
Step-by-step explanation:
Since there are two fractions, it is easiest to cross multiply the fractions before doing anything else. Basically:
10/15 = d/12 becomes 120 = 15d.
then you just divide 15 to both sides to get your answer:
d = 120/15, which is the equivalent of d = 8.
The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters).
What dimensions result in the maximum area?
A rectangle_ meters by_ meters results in the maximum area.
Answer:
The dimensions that result in the maximum area are therefore;
Width = 3.5
Height = 3.5
Step-by-step explanation:
The given parameters are;
The area of the rectangle, y = x × h
Where;
x = The width of the rectangle
h = The height of the rectangle
By examination, we have;
x + h = 7
Therefore, x = 7 - h
Which gives;
y = x × (x - 7) = x² - 7·x
y = x² - 7·x
At x = 0, y = 0
At x = 7, y = 0
However, at x = 1, y = -6
Therefore, the function should be, y = -(x² - 7·x)
The maximum occurs where dy/dx = 0, which gives;
dy/dx = d-(x² - 7·x)/dx = 0
dy/dx = 2·x - 7 = 0
2·x - 7 = 0
x = 7/2 = 3.5
On second derivative, we have;
d²y/dx² = 2, which gives a local minimum
x = 3.5 at maximum height
Which give, the maximum height, [tex]y_{max}[/tex] = -(x² - 7·x) at x = 3.5
∴ [tex]y_{max}[/tex] = -(3.5² - 7×3.5) = 12.25
The maximum height = 12.25
The dimensions that result in the maximum area are therefore;
Width, x = 3.5
Height, h = 7 - x = 7 - 3.5 = 3.5
Height, h = 3.5.
Lin read 44 pages in 132 minutes. Diego read 35 pages in 140 minutes. Who is reading at a faster rate, Lin or Diego? Show and Explain your reasoning.
Answer:
Diego
Step-by-step explanation:
divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)
Find the product of 4^2 x 3 ^6
Answer: 11664
I think
Answer:
11,664
Step-by-step explanation:
4^2 x 3^6
16 x 729
11,664
Solve for j.
j² − 36 = 0
Write your answers as integers or as proper or improper fractions in simplest form.
j =
or j =
Answer:
( J - 6 ) × (J + 6 )
Step-by-step explanation:
j^2 -6^2
( J - 6 ) × ( j + 6 )
The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on Earth? The rock travels about __ meter(s) higher on the moon than on Earth.
Answer:
Rock travels about 8.2x²meters higher on the moon than on the Earth.
Step-by-step explanation:
Expression showing the height of a rock thrown into the air at Earth is,
f(x) = -9.8x² + 10x + 1.5
Similarly, expression showing the height of rock thrown on the moon is,
g(x) = -1.6x² + 10x + 1.5
Difference in the height of the rock thrown on moon = g(x) - f(x)
= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)
= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5
= 8.2x²
Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.
Write a linear function f with f(-4) = 2 and f(6) =-3
Answer:
f(x) = - [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
The standard form for a linear function is
f(x) = ax + b
Using the given values f(- 4) = 2 and f(6) = 3 , then
- 4a + b = 2 → (1)
6a + b = - 3 → (2)
Subtract (2) from (1) term by term to eliminate b
- 10a = 5 ( divide both sides by - 10 )
a = - [tex]\frac{1}{2}[/tex]
Substitute a = - [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for b
Substituting into (1)
2 + b = 2 ( subtract 2 from both sides )
b = 0
Thus the linear function is
f(x) = - [tex]\frac{1}{2}[/tex] x
The linear function is f(x) = -0.5x
For f(-4) = 2
x₁ = -4, y₁ = 2
For f(6) = -3
x₂ = 6, y₂ = -3
The slope(m) is found using the formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (-3-2)/(6-(-4))
m = -5/10
m = -0.5
Substitute m = -0.5, x₁= -4, and y₁ = 2 into the equation below:
y - y₁ = m(x - x₁)
y - 2 = -0.5(x - (-4))
y - 2 = -0.5(x + 4)
y - 2 = -0.5x - 2
y = -0.5x - 2 + 2
y = -0.5x
Therefore, the linear function is f(x) = -0.5x
Learn more here: https://brainly.com/question/17003809
whoever answers all correctly gets a brainliest.
if you answer incorrectly, I steal all your points.
if you look at the questions and leave, I will steal all your points.
if you answer with something like 'bfdiydf' or 'i don't know sorry' i will steal your points.
Katie has a doll house that is a small model of a real Victorian house. The real house has a rectangular window that measures 65 centimeters long by 45 centimeters wide. The length of the window in Katie's house is 13 centimeters long. How wide is the window in Katie's house?
Answer:
9
Step-by-step explanation:
65/13=5
45/5=9 The answer is 9
Which of the following scenario could be represented by 2/5?
Answer: C
Step-by-step explanation: 2 is the numerator so you are dividing 2 by the denominator which is 5. Equation 2/5. So you can cross out A and B because they start with 5 and we need one that starts with 2. Then you can't divide people so your answer would be C because everything can be divided correctly.
If anyone can read my teachers bad handwriting, please help me it is 1:30 in the morning and if someone does this for me I will be giving them a cookie and hugs::):):)
Answer:
she wrote: (3,1) (6,1) (6,4)
1 step one R (X-axis) --> step two R (180°,0) --> step three R (Y-axis)
(I honestly have no clue what she is doing but, its stupid)
4) The triangle on the right is an equilateral
Find the value of X and Y
Answer:
angle Y is 29 degrees
angle X is 120 degrees
Step-by-step explanation:
Well, if the triangle is an equilateral, then all the angles are equal to
60 degrees
that means the the angle at the top point is 60+31 = 91 degrees
the right point is 60 degrees
every triangle has 180 degrees total
180 - (91+60) = 29 degrees
NOW FORGET ABOUT THE EQUILATERAL FOR A BIT
180 = 31+x+29
simplify
180 = 60+x
subtract 60 from both sides
120 = x
The function f(x) is translated left 3 units, down 2 units and is reflected across the x-axis to make the
new function g(x). Which of the following best represents g(x)
Answer:
2,3 is the paired fraction
Step-by-step explanation:
I need help ASAP answer both questions please show work
Answer:
3. <BAC = <BCA
so,
x+x+36° = 180°
=>2x + 36 = 180
=>2x = 180–36
=>2x = 144
=>x = 144/2
=>x = 72°
60% of a firm's employees are men. Suppose four of the firm's employees are selected. a. What is the random variable we can consider here? b. What is probability of finding three men and one woman? c. What is the answer for part if 75% of employees were men?
Answer:
60% of the employees are men.
Then the 40% left must be women.
4 of them are selected.
a) What is the random variable we can consider here?
A random variable is a variable that can have different outcomes or values, in other words, it is a stochastic variable.
We have a selection of 4 employees at random, then we can define the variable X, that represents (for each employee) the possibility of being man or woman.
b) Probability of 3 men and 1 woman.
Suppose that the selection is in the order:
man-man-man-woman.
We have:
0.6 tree times.
0.4 one time.
P = 0.6^3*0.4
But this is for the case where the woman is in the last selection, it can be in the first, second and third, then we have 4 permutations, the actual probability is:
P = 4*( 0.6^3*0.4) = 0.3456.
c) If now we have tat 75% are men, then 25% are women.
Now we can do the same as before, but now the probability for a man is 0.75 and for a woman is 0.25, then the previous equation is now:
P = 4*(0.75^3*0.25) = 0.421875
(a) The random variable will be "Men percentage".
(b) The probability of finding 3 men and one woman be "0.3456".
(c) The probability be "0.4219".
Probability(a) A random variable represents a variable which might have several occurrences as well as quantities; it is indeed a stochastic quantity.
If we choose four workers at random, users may create the variable X, which reflects the potential of someone being a male or even a woman.
(b) The probability be:
→ P(3 men and women) = [tex]4C_3[/tex] (0.6)³ (1 - 0.6)¹
= 0.3456
(c) The probability be:
→ P(3 men and women) = [tex]4C_3[/tex] (0.75)³ (1 - 0.75)¹
= 0.4219
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0)
Answer:
Slope is -7/6. Y - intercept is -35/6
Step-by-step explanation:
Hope this helps!
6th grade math help me plzzzzz
Answer:
answer = ⁻3
Step-by-step explanation:
Q4: Tell whether side lengths (4, 2, 5) form a Right Triangle.
Yes they would form a right triangle you can figure this out by adding the two smaller values and if that is equal to a larger number then the larger number then it is a right triangle
Can someone help me
m < 1 = 130°
m < 1 = 130°m < 2 = 50°
We know this is a linear pair, therefore the two angles must add up to 180°
[tex](m < 1 )+ (m < 2 )= 180[/tex]
[tex]5x + x + 24 = 180[/tex]
Combine like terms
[tex]6x + 24 = 180[/tex]
Isolate the variable
[tex]6x = 156[/tex]
[tex]x = 26[/tex]
Plug in 26 for x in both of the individual angle equations.
[tex]m < 1 = 5x[/tex]
[tex] = 5(26)[/tex]
[tex] = 130[/tex]
[tex]m < 2 = x - 24[/tex]
[tex] = (26) + 24[/tex]
[tex] = 50[/tex]
A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.
I hope this helped. Let me know if you have any questions!
Describe the roots of x2 + 6x + 9 = 0
Answer:
x2+6x+9=0
x^2+3x+3x+9=0
x(x+3)+3(x+3)=0
x=-3 twice
helppp me agin guysssssss
Answer: 13x -8y
Hey there!
To get started we need to figure out what the equation is by remembering the sum is addition.
6x-y + 7x-7y
Then we need to combine like terms
(6x+7x) (-7y-y)
to get...
13x-8y
75 is % of 300 what is the answer
Answer:
25%
Step-by-step explanation:
2.4(x - 6) = -5.6x + 8
Let's solve your equation step-by-step
2.4(x-6)=-5.6x+8
Step 1: simplify both sides of the equation
2.4(x-6)=-5.6x+8
(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)
2.4x+-14.4=-5.6x+8
2.4x-14.4=5.6x+8
Step 2: Add 5.6x to both sides.
2.4x-14.4+5.6x=-5.6x+8+5.6x
8x-14.4=8
Step 3:Add 14.4 to both sides
8x-14.4+14.4=8+14.4
8x=22.4
Step 4 : Divide both sides by 8
8x/8 =22.4/8
Answer : x=2.8
A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the
container has 4 gallons of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.
The water is leaking at the rate of
gal/min.
Answer:
2/5 or 0.4
Step-by-step explanation:
This is simplified. For the question 4/10 .
May you please help me with my geometry.
Answer:
uhm
Step-by-step explanation:
Which pair of numbers are relatively prime?
22 and 35
32 and 16
21 and 56
30 and 85
Answer:
22 35
Step-by-step explanation:
Order each set of numbers from least to greatest {7 , 9 √50, √85
Answer:
7,√50,9,√85
Step-by-step explanation:
The square root of 50 is 7.071 if you round to the nearest thousandth. The square root of 85 is 9.220. From least to greatest is 7,√50,9,√85
Write a recursive rule for the sequence 4,10,16,22
Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6
Step-by-step explanation:
The terms have a common difference d between consecutive terms, that is
10 - 4 = 16 - 10 = 22 - 16 = 6
To obtain the next term add 6 to the previous term ( recursive rule ), thus
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6 with a₁ = 4
answer for 5 stars pls I need it quick
Answer:The answer is 1/x^12y
Step-by-step explanation:
