Which facts are true for the graph of the function below? Check all that apply.
F(x)=(2/5)^x
A. It is decreasing.
B. The range of F(x) is y> 0.
C. The y-intercept is (0,1).
OD. The x-intercept is (1,0).
O E. It is increasing.
O F. The domain of F(x) is x > 0.
Answers
Answer:
A, B, and C
Step-by-step explanation:
The solution is, The true statements are F and E.
i.e. F. The x-intercept is (1,0).
E. It is increasing.
What is a log function?The logarithm can be stated as the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
here, we have,
We need to graph the log function. F(x) = log6x
Domain: x>0 All real number greater than 0.
Range: All real number.
y-intercept: Put x=0 and solve for y. (Does not exist)
y-intercept: Put y=0 and solve for x. (1,0)
Log function is increasing function.
F is true. (It is increasing)
D is False. (Because Range is all real number)
E is true. (x-intercept (1,0))
A is false. (It is decreasing.)
B is false. (The y-intercept is (0, 6))
C is false. (Domain is x>0)
Hence, F and E are true.
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Related Questions
Mr. Connolly recorded the closing price of a stock each day for a month. Which measure of data did he use to determine that the
closing stock price varied by $20.50 during the month?
A. Mean
C. Mode
B. Median
D. Range
Answers
help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
B) [tex]-38[/tex]
Step-by-step explanation:
[tex]\frac{4}{(-1.6+3.6)}+\frac{0.8(9+11)}{-0.4}\\\\=\frac{4}{2}+\frac{0.8(20)}{-0.4}\\\\=2+-2(20)\\\\=2-40\\\\=-38[/tex]
The product of numbers in the circles connected by the different lines must be equal. Use number from 1 to 9 only once.
Answers
Answer:
you must be so stiupid that you have to use answers ff a website to cheat for school
Step-by-step explanation:
the piggybank had 25.65 in dimes and quarters if there were 20 more quarters than dimes, how many dimes were in the piggybank
Answers
y = number of quarters
---
10x + 25y = 2565
y = x + 20
---
put the system of linear equations into standard form
---
10x + 25y = 2565
x - y = -20
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 59
y = 79
The ratio of boys to girls is 4:5 calculate the number of boys if there are 1080 learners
Answers
Answer:
480 Boy
Step-by-step explanation:
The ratio of Boys = 4x
The ratio of Girls = 5x
The Number of Boys in the School = 4x + 5x = 1080
= 9x = 1080
= x = 1080/9
= x = 120
The ratio of Boys = 4x = 4 x 120 = 480
The ratio of Girls = 5x = 5 x 120 = 600
Hence, Number of Boys = 480
Ratio Boys to Girls = 480:600
[RevyBreeze]
Based on data from 2011-2012, the percentage of 6- to 11-year-olds who were obese was about _____ than the percentage of two- to five-year-olds who were obese.
Answers
Using the percentage concept, it is found that the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Researching on the internet, we find that:
The percentage of two-to-five year old who are obese is of a = 15.2%.The percentage of 6-to-11 year old who are obese is of b = 17.9%.Hence:
[tex]P = \frac{17.9}{15.2} \times 100\% = 117.76\%[/tex]
117.76% - 100% = 17.76%.
Hence the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.
More can be learned about percentages at https://brainly.com/question/24372153
Will give brainliest!!! Plz help
Answers
Answer:
115.5
Step-by-step explanation:
comparing side lengths of 49 and 28:
49 ÷ 28 = 1.75, so to get from 28 to 49 multiply by 1.75
this is the same thing for side lengths 38.5 and 22 as
22 × 1.75 = 38.5
the scale factor of the first triangle (GHI) to the second triangle (JKL) is 1.75 which means multiply each side of the first triangle by 1.75
so to work out x:
16 × 1.75 = 28
perimeter of JKL (second triangle) - add up lengths of the sides:
28 + 38.5 + 49 = 115.5
What is the product of the complex numbers (-3i+4) and (3i+4)?
Answers
Answer: 25
Step-by-step explanation:
Finding the product of complex numbers is not different to finding the product of real numbers
(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25
Answer:
25
Step-by-step explanation:
An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25
Find the slope of the graph
Answers
Answer:
Step-by-step explanation:
m=26 when u as u go as down as {{6-2} -13
Answer:
2
Step-by-step explanation:
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
m = y2 - y1 / x2 - x1
Where
m — slope
If the 2 Points are Known:
Slope (m) = ΔY/ΔX
= 7-(-1) / 3-(-1)
= 8/4
= 2/1
= 2
θ = arctan (ΔY/ΔX)
= tan¯¹(8/4)
= 63.434948822922°
ΔX = 3 – (-1) = 4
ΔY = 7 – (-1) = 8
Distance (d) = √ΔX2 + ΔY2 = √80
= 8.9442719099992
Equation of the line:
y = 2x + 1
When x=0, y = 1
When y=0, x = -0.5
help on 5 . find the value of x
Answers
Answer:
The choice B. 5°
Step-by-step explanation:
The angle in the figure is 90°
[tex]36 + (11x - 1) = 90 \\ 36 + 11x - 1 = 90 \\ 11x + 35 = 90 \\ 11x = 90 - 35 \\ 11x = 55 \\ \\ x = \frac{55}{11} \\ \\ x = 5[/tex]
Combining like terms gets us to 35 + 11x = 90
Subtract 35 from both sides and divide by 11 to get
x = 5
Find the slope of the graph
Answers
Answer:
(1,3), (2,1
Step-by-step explanation:
Answer:
1. m = -3
2. m = 4
Step-by-step explanation:
1. m = -3
2. m = 4
slope intecept form is y = mx + b
₹7,000 is borrowed at 3.5% rate of interest p.a. borrowed for 2 years. Find the
amount to be paid at the end of the second year
Answers
Hope this helps (:
Evaluate. Write your answer in simplified, rationalized form. Do not round.
cos
45°
=
Answers
Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
A ship has an island directly in the path of the destination port, so it has to travel 11.5 miles west and then 8.4 miles north to get to the port. To the nearest tenth,how much shorter would the trip be if the ship could go directly to port?
Answers
Answer:
Step-by-step explanation:
The direct distance there (without the island in the way) is found using the Pythagorean Theorem
c^2 = a^2 + b^2
a = 8.4
b = 11.5
c = ?
c^2 = 8.4^2 + 11.5^2 Square the length of the legs.
c^2 = 70.56 + 132.25 Combine
c^2 = 202.81 Take the square root.
c = 14.24
But the island is there. The distance travelled = 8.4 + 11.5 = 19.9 miles
So the additional distance = 19.9 - 14.24 = 5.66 miles.
What is the difference between the LCM and HCF of 8,10,12
Answers
Answer:
118
Step-by-step explanation:
LCM = 12×10 = 120
HCF = 12-10 = 2
Difference = 120-2 = 118
Please mark me as brainliest because i want to be Virtuoso rank
emily bought 4 pounds of grapes for $20 .find the unit price A)$5
c)1
d)20
b)15
Answers
Answer:
$5
Step-by-step explanation:
20/4 = 5
One equation in a system of equations is given in the graph. Which equation below would have to be the second equation so that the system has no solutions?
Answers
Solution:
To classify the system of equations as no solutions, the lines must be parallel (Not intersect).
First, let's identify the equation forming the line.
Slope = Rise/Run = 2/-3 = -0.66Y-intercept = 0Equation formed: y = -2/3We also know that the slope of the equation must be -1.5.
A) 2x + 3y = 0
3y = 0 - 2x=> 3y = -2x=> (y = -2x/3) ∦ (y = -2x/3)B) 2x + 3y = 6
=> 3y = -2x + 6=> (y = -2x/3 + 2) ║ (y = -2x/3)C) 2x - 3y = 9
=> -3y = -2x + 9=> y = -2x/-3 + 9/-3=> (y = 2x/3 - 3) ∦ (y = -2x/3)D) y = 3x + 2
(y = 3x + 2) ∦ (y = -2x/3)Option B is correct.
Help me please please please please please please
Answers
I think 100 grams per box
Simplify 3 - 4y + (-8y) +8.7.
Pls answer
Answers
Answer:
11.7 - 12y
Step-by-step explanation:
1. Open parenthesis
3 - 4y - 8y + 8.7
2. Combine like terms
11.7 - 12y
The answer is 11.7 - 12y
Hope this helps :)
Have an awesome day!
Remove parentheses.
3
−
4
y
−
8
y
+
8.7
3
-
4
y
-
8
y
+
8.7
Add
3
3
and
8.7
8.7
.
−
4
y
−
8
y
+
11.7
-
4
y
-
8
y
+
11.7
Subtract
8
y
8
y
from
−
4
y
-
4
y
.
−
12
y
+
11.7
Find the area of each shaded region
Answers
[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
Given :-The radius of the circle is 5 unitsTo Find :-We have to find the area of shaded region .Let's Begin :-The given figure is composed of two figures triangle and circle. In which triangle is enclosed in the circle.
The triangle is the unshaded region of the given figureWe know that,
Area of triangle
[tex]\bold{\red{ = }}{\bold{\red{\dfrac{1}{2}}}}{\bold{\red{\times{ Base }}}}{\bold{\red{\times{ height }}}}[/tex]
Here,
The base of the triangle is equal to the diameter of the circle that is, [tex]\sf{ Base = 5 + 5 = 10 \: units }[/tex]The height of the triangle is equal to the radius of the triangle that is[tex]\sf{ Height = 5 \:units }[/tex]Subsitute the required values,
Area of the given triangle
[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{\times{ 10 }}}{\sf{\times{ 5 }}}[/tex]
[tex]\sf{ = 5 }{\sf{\times{ 5}}}[/tex]
[tex]\bold{ = 25\: units }[/tex]
Thus, The area of triangle is 25 units
NowWe have to find the area of the circle
The radius of the circle is 5 unitsWe know that,
Area of circle
[tex]\bold{\pink{ = }}{\bold{\pink{\pi{r^{2}}}}}[/tex]
Subsitute the required values,
[tex]\sf{ = }{\sf{\pi{(5)^{2}}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{ 25}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{550}{7}}}[/tex]
[tex]\bold{ = 78.57\: units }[/tex]
Thus, The area of circle is 78.57 units
Therefore,Area of shaded region
= Area of circle - Area of triangle
Subsitute the required values,
[tex]\sf{ = 78.57 - 25 }[/tex]
[tex]\bold{\green { = 53.57 \: units }}[/tex]
Hence, The area of shaded region is 53.57 units.
The area of the shaded figure is 13.375 square units.
What is the area of the shaded region?
The shaded region is a circle with a triangle inside of it removed.
To get the area, we need to get the area of the circle and remove the area of the triangle.
Remember that for a circle of radius R, the area:
A = 3.14*R^2
In this case, we can see that the diameter of the circle measures 5 units, then the radius (half of the diameter) measures 2.5 units.
A = 3.14*(2.5)^2 = 19.625 square units.
And a triangle of base B and height H has an area:
A' = B*H/2
In this case, the base of the triangle is equal to the diameter of the circle, and the height is equal to the radius of the circle, so we have:
B = 5 units.
H = 2.5 units.
Then:
A' =5*2.5/2 = 6.25 square units.
Then the shaded area is:
shaded area = 19.625 square units - 6.25 square units.
= 13.375 square units.
If you want to learn more about areas, you can read:
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2 divided by 4,050. I know the answer from an answer key but I am wondering the step to step using long division.
Answers
4050/2 math problems division = 2025. Therefore 2025 to 2 decimal places= 2025
(I don’t know if this gonna help, but I hope it help)gdd luck
4050/2 divided by 2 » (4050/2) ÷ 2 » 2025 ÷ 2 = 1012.5 . Check 4050/2 long division below
Can anyone please help me? Thanks for any responses! :)
Solve:
[tex]x^{2}+5+6=0[/tex]
Answers
Answer:
x = ± √11 i
Step-by-step explanation:
x^2 + 5 + 6 = 0
subtract 6 and 5 from both sides
x^2 = -11
find the square root of both sides
x = ± √-11
x = ± √11 √-1
x = ± √11 i
Can u help me and give me the solution. I have rsm tomorrow! please and thanks. find x
Answers
Answer: 25°
Step-by-step explanation: Notice that in this figure, we are given two triangles and to find the value of x, we first need to find the missing angle measure in the big triangle.
Since all the interior angles of a triangle add up to 180 degrees, we know that the missing angle of the big triangle is 180° - 94° - 41° or 45°.
Now we know all the angles of the big triangle and we know two of the angles of the smaller triangle, so we can find the value of x.
The missing angle of the smaller triangle will be 180° - 110 - 45° or 25°
So we know that the missing angle is 25°.
The house number is a three digit number.it is a multiple of 5. There are no zeros in this number. The number in the hundreds place is two less than the number in the ones place. The sum of the digits is 10
Answers
Answer:
235
Step-by-step explanation:
325( Three digit number)
No zero
5-3=2
3+2+5=10
The house number if the house number is a three-digit number, it is a multiple of 5. There are no zeros in this number, is 235.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
A house number is a three-digit number.it is a multiple of 5,
The number in the hundreds place is two less than the number in the one's place,
The sum of the digits is 10,
Write the equation as shown below,
x + y + z = 10
Here x is in one place y is in the tens place and z is in the hundred places,
The number will be = 100z + 10y + x
y = x - 2
As we know if the number is a multiple of 5 then its one's place is either 0 or 5 here no zeroes in the number,
x = 5,
y = 5 - 2 = 3
z = 10 - 3 - 5
z = 2
Thus, the number will be,
Room number = 100 × 2 + 10 × 3 + 5
Room number = 200 + 30 + 5
Room number = 235
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PLEASE HELP!! Question: Which number line shows the points −125 and –2.8?
Answers
Answer:
you need picture with it
Step-by-step explanation:
please answer correctly
Answers
Answer:
y=2x-1
Step-by-step explanation:
up 2 right 1 for slope
y intercept is -1
Answer:
[tex] \boxed{(b) \: y = 2x - 1}[/tex]
Step-by-step explanation:
Find the gradient( 2,3 ) and ( 0, -1)
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ - 1 - 3}{0 - 2} = \frac{ - 4}{ - 2} = 2[/tex]
Gradient is 2
Find linear equationy - y1 = m ( x - x1 )
y - 3 = 2 ( x - 2 )
y - 3 = 2x - 4
y = 2x - 4 + 3
[tex] \boxed{y = 2x - 1}[/tex]
10 examples of direct and Inverse variation from our daily life
Answers
Answer:
Direct Variation:
The number of family members are directly expenditures. The number of fruit in kg directly proportional to price of fruit.The number of selling products directly proportional to profit. The distance covered by body directly proportional to speed of bodyThe acceleration produce in car directly proportional to change in velocity The income is directly proportional to working hours. The cost of electrical bill directly proportional to number of fans running in the house. The quantity of water fill in tank is directly to time for which the motor is switch on. The marks in study is directly proportional to hardworking. The bank balance is directly proportional to amount of saving.Inverse Variation:
1. The bank balance is inversely proportional to expenditures.
2. The number of family members (which not work) are inversely proportional to amount of saving.
3.The working days required to complete the work are inversely proportional to number of labors.
4. The velocity of body is inversely proportional to time.
5. The acceleration is inversely proportional to time.
6. The acceleration of body is inversely proportional to mass of body.
7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.
8. The battery power is inversely proportional to time for which it used.
9. The ability of do work hard is inversely proportional to age of man after youngness to onward.
10. The number of mistake in work is inversely proportional to practice.
Explanation:
Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.
Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.
The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers
is 38, find the two numbers.
Answers
Answer:
16,22
larger number=22
smaller number=16
Step-by-step explanation:
let 2x-10=larger number
let x=smaller number
x+2x-10=38
Simplify
3x-10=38
+10 +10
Add 10 to both sides of the equation
3x=48
divide both sides by 3
x=16
First answer.
2x-10=22
2nd answer
Check your work:
16+22=38
It is correct.
Answer:
66 & -28
Step-by-step explanation:
x > y
x + y = 38
x = 10 - 2y
10 - 2y + y = 38
-y + 10 = 38
-y = 28
y = -28
x + (-28) = 38
x = 66
Find the value of x.
87, x,105,92,135
Answers
Answer:
121
Step-by-step explanation:
(5-2)180
180-135-105-87-92=121
HELP ME I DON'T GET IT!!!!!
Kamille is calculating the length of diagonal on a picture board and gets a solution of the square root of 58. She needs to buy the ribbon to put across the diagonal of the board, so she estimates that she will need at least 60 inches of ribbon to cover the diagonal. Is she correct? Explain.
Answers
Answer:
Kamille is wrongStep-by-step explanation:
Kamille is wrong, because:
√58 is between √49 and √64or
7 < √58 < 8She needs about 8 inches ribbon not 60 inches