Answer:
A) Over the interval [-2.5, 0.5], the local maximum is 2--------------------------
Hope it helps...
Answer:
(A) Over the interval [-2.5, 0.5], the local maximum is 2.
Step-by-step explanation:
"Over the interval [-2.5, 0.5], the local maximum is 2."
Correct. The local maximum is the maximum, or highest point, of the graph in a certain area of interval. In [-2.5, 0.5], the highest point is at the y-value of 2.
"As the x-values go to positive infinity, the function's values go to negative infinity."
Wrong. As the x values go to positive infinity (meaning they go to the right, or positive side of the graph), the function goes up, meaning the function's values go to positive infinity.
"The function is decreasing over the interval (-1, 0.75)."
Wrong. Only from [-1, 0] is where that area of the graph decreases. The other half of it, (0, 0.75), is where the graph increases.
"The function is negative for the interval [-2, 0]."
Wrong. Only from [-1, 0] is the function negative. In the interval [-2, -1], the function is positive.
Hope that helps (●'◡'●)
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
Learn More:https://brainly.com/question/2254193
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
Question 4 options:
A)
A = (45,000)e–0.02t
B)
A = 45,000 + e–0.02t
C)
A = (45,000)e0.02t
D)
A = 45,000 + e0.02t
Answer:
Step-by-step explanation:
The general form of this equation is
[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.
Therefore, filling in:
[tex]A=45000e^{-.02t[/tex]
The radius of a circle is 16 ft. Find its area in terms of pi
Step-by-step explanatio
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
Two similar polygons have areas of 4 square inches and 64 square inches.
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
Answer:
4
Step-by-step explanation:
The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.
Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.
Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.
Solution :✧ Let us assume :
Seena's age be x
Her mother's age be 4x
✧ After 5 years :
Seena's age = x + 5
Her mother's age = 4x + 5
✧ Ratio of age after 5 years :
Seena's mother = 3
Seena's ratio = 1
Hence, the equation is :
[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]
By cross multiplying we get
[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]
[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]
[tex] \looparrowright \frak{x = 10}[/tex]
Hence, the ages are
Seena's age = x = 10 yrs
Her mother's age = 4x = 4 × 10 = 40 years
∴ Seena's age is 10 and her mother's is 40 respectively
9x+5y=34
8x-2y=-2
What are the values of x and y? Please explain the steps.
Answer:
x = 1 and y =5
Step-by-step explanation:
[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]
Substitute this value of y in the next equation.
[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]
Solve for y using x.
[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]
(8-16) + (8 + 6)
If the parentheses are removed from the above
expression, how will the value of the expression
change?
A. no change
B. increase of 3
C. increase of 7
D. increase of 12
E. increase of 16
Step-by-step explanation:
Right now, we would solve everything within the parenthesis first.
(8 - 16) + (8 + 6)
(-8) + (14)
14 - 8
6
But if we remove the parenthesis, it doesn't matter what order we do things in.
8 - 16 + 8 + 6
8 + 8 - 16 + 6
16 - 16 + 6
6
The reason why both of these are the same, is because the only calculations we're doing are addition and subtraction, which don't care about parenthesis.
Answer:
A
A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?
Which of the following statements is true of the function ? Question 2 options: A) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. B) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units. C) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. D) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 5 units and downward by 3 units.
Transformations are operators that can act on functions, modifying them in different ways. In this particular problem, we see the translations.
The correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x)= 1∕x left by 3 units and downward by 5 units.
Let's describe the transformations:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left.
If N is negative, the shift is to the right
Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards.
If N is negative, the shift is downwards.
Now that we know this, let's see the problem.
We have:
[tex]g(x) = \frac{1}{x + 3} - 5[/tex]
So, the original function is:
[tex]f(x) = \frac{1}{x}[/tex]
Now from f(x) we can apply translations to create g(x).
If first, we apply a translation of 3 units to the left, we get:
[tex]g(x) = f(x + 3) = \frac{1}{x + 3}[/tex]
If now we apply a translation of 5 units downwards, we get:
[tex]g(x) = f(x + 3) - 5 = \frac{1}{x + 3} - 5[/tex]
So we can conclude that the correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.
If you want to learn more about translations, you can read:
https://brainly.com/question/12463306
Find the equation of a line perpendicular to y = (75)x - 1 and has a y-
intercept of 1.
Answer:
6y = -5x + 6
y = -5/6 x + 1
Step-by-step explanation:
y = -5/6 x + b
1 = b
Find the rare of change for the situations , You run 7 miles in one hour and 14 miles in two hours
The rate of change is 7 because its 7 miles per hour
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
pls help me asap!!!!!!
Evaluate x^4 • x^-1 when x = 4
Answer:
64
Step-by-step explanation:
4^4*4^-1
4^4*1/4
256*1/4
256/4
64
Sand and gravel are mixed in the ratio 5:3
form ballast
a) How much gravel is mixed with 750kg of
sand?
b) How much sand is mixed with 750kg of
gravel?
Answer:
a) 450 gravel b)1250 sand
Step-by-step explanation:
:)
SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only
Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
Find the real or imaginary solutions by factoring.
X^4 -3x^2 = -2x^2
Look in the images it is solved.
How do you simplify the following problem?: 9−4d≥−3
Answer:
d ≤3
Step-by-step explanation:
9−4d≥−3
Subtract 9 from each side
9-9−4d≥−3-9
−4d≥−12
Divide by -4, remembering to flip the inequality
-4d/-4 ≤ -12/-4
d ≤3
PLEASE HELP!!!!!!!!
Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
From a point on the ground 100m from its base, the angle of elevation of the top of the Burj Khalifa tower in Dubai is 83.1°. Draw a sketch and use it to calculate the height of the tower.
Answer:
Step-by-step explanation:
[tex]tan \ 83.1 = \frac{opposite \ side}{adjacent \ side} = \frac{BC}{100}\\\\8.2635 = \frac{BC}{100}\\\\8.2635*100=BC\\\\826.35 = BC[/tex]
Height of tower = 826.35 m
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
Dimes: 3 times greater than nickels:
This means that:
[tex]y = 3x[/tex]
Quarters: One greater than double the number of nickels:
This means that:
[tex]z = 2x + 1[/tex]
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]
[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]
[tex]0.85x = 3.4[/tex]
[tex]x = \frac{3.4}{0.85}[/tex]
[tex]x = 4[/tex]
y and z:
[tex]y = 3x = 3(4) = 12[/tex]
[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at https://brainly.com/question/17096268
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of Abe?
5
B
С
4
3
D
A
1
2.
1
3
4
-7 6 5 4 3 2 -10
-1
-2
A' = ([?], [ 1)
Hi! I'm happy to help!
We can see that A's coordinates currently are -6 for x and 2 for y.
When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.
To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).
I hope this was helpful, keep learning! :D
Solve 2x + 3y = C, for y
Answer:
y= [tex]\frac{c-2x}{3}[/tex]
Step-by-step explanation:
2x+3y=C
isolate y
3y=C-2x
y= [tex]\frac{c-2x}{3}[/tex]
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
Amazon hires you as their data analysist. You have to make a presentation
to their board of directors about which shipping method they should invest
an additional $10 million in. The data they provide you is below.
Please help due today
Answer:
standard= 21.333%
prime= 42.666%
expedited= 6.666%
locker= 29.333%
Which of the r-values satisfy the following inequality?
r/3 + 5 <_ 9
Choose all answers that apply:
Answer:
9
Step-by-step explanation:
r/3 +5 ≤ 8
Subtract 5 from each side
r/3 +5 -5≤ 8-5
r/3 ≤ 3
Multiply each side by 3
r/3 *3 ≤ 3*3
r ≤ 9
The only value that is less than or equal to 9 is 9
m + 3n =7 help me solve m
Answer:
m = 7 - 3n
Step-by-step explanation:
subtract 3n from both sides of the equation