Given:
[tex]4,4+2x,4+4x[/tex] are in geometric sequences.
To find:
The value of x.
Solution:
If a, b, c are in geometric sequences, then
[tex]\dfrac{b}{a}=\dfrac{c}{b}[/tex]
[tex]b^2=ac[/tex] ...(i)
It is given that [tex]4,4+2x,4+4x[/tex] are in geometric sequences. By using (i), we get
[tex](4+2x)^2=(4)(4+4x)[/tex]
[tex]4^2+2(4)(2x)+(2x)^2=(4)(4)+4(4x)[/tex]
[tex]16+16x+4x^2=16+16x[/tex]
[tex]4x^2=16+16x-16-16x[/tex]
On further simplification, we get
[tex]4x^2=0[/tex]
[tex]x^2=0[/tex]
[tex]x=0[/tex]
Therefore, the value of x is 0.
EARN A FAST EASY 10 POINTS JUST BY HELPING ME ASAP!!
Spiral Review "y is less than 3"
Question 1
Part A
Write an inequality that represents the sentence "y is less than 3
then Graph the inequality on the number line.
Answer:
Step-by-step explanation:
y < 3
<__|__|__|__|__|__°__|__|__|__>
-2 -1 0 1 2 3 4 5 6
Basically, for the number line, there is an open circle on the 3 and the line goes to the left of 3.
PLEASE HELPPPP! Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer: $12.80
Step-by-step explanation:
:)
Answer:
$12.80 donated money if she bikes 8 miles. solved by finding out how much money she'll get in a mile add .80+.80 and get $1.60. this is way easier to set up equation instead if doing it by half mile. equation is y=1.6(x) // y is money donated, x is $1.60
which of these equations could represent the blue line?
Answer:
y = 1/2x
Step-by-step explanation:
The x seems to double the size of the y on the points.
A recipe calls for 1/2 cup of sugar for each loaf of bread.
How many loaves of bread can you make with 3 cups of sugar?
Answer:
6
Step-by-step explanation:
1/2 cup = 1 loaf of bread
1 cup = 2 loaves of bread
2 cup = 4 loaves of bread
3 cups = 6 loaves of bread
sorry i didn't know how to explain it in words
Can someone tell me the formulas for this
Answer:
square = a=x^2 x= one of the sides of the square
triangle= a[tex]=\frac{1}{2}bh[/tex] b=base h=height
circle = a=πr² π = pi r=radius
rectangle a = l * w l=length w=width
Step-by-step explanation:
hope this helps (:
one-fifth of the sum of 7 and b minus the product of 4 and m
Answer:
7/5 + b/5 - 4m
Step-by-step explanation:
(1/5)(7 + b) - (4)(m) = 7/5 + b/5 - 4m
PLSS HELP ME TYSMMMMM
Answer:
Picture or question???????
Which function matches the data in the table
Answer:
I can't see the table...?
Step-by-step explanation:
I will answer if you have the table.
I need help please...
Answer:
16^2+32cd+16d^2
Step-by-step explanation:
(4c×4d)(4c+4d)
16c^2+32cd+16d^2 use the foil method
Janet is playing a game in which she interacts with an environment to solve a puzzle and to meet new characters. She really enjoys this game because there are no time constraints or pressure to perform with speed. What genre of game is Janet most likely playing?
simulation
action
adventure
sports
Answer:
adventure
Step-by-step explanation:
Answer:
adventure
Step-by-step explanation:
Can anyone please help me with the problem.
Answer:
The missing angle is 50
Step-by-step explanation:
That is a 180 degree in total... So
180-65-65=50
50
Find the central angle measure
Answer:
No i don't know needed the point bye
Step-by-step explanation:
The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?
Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
What is the difference between 4/5- 1/2 *
Answer:
0.3
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
1. find the lowest common denominator which is 10.
2. for 4/5 you have to multiply 5 by 2 in order to get 10, so you multiply the numerator by 2 as well which gives you 8/10.
3. for 1/2 you have to multiply 2 by 5 in order to get 10, so you multiply the numerator by 5 also which gives you 5/10
4. you work out the difference between both numerators which is 3 and keep the denominator the same
Here is a true statement: -6.7 < -6.2. Select all of the statements that are equivalent to -6.7 < -6.2.
Group of answer choices
-6.7 is further to the right on the number line than -6.2.
-6.2 is further to the left on the number line than -6.7.
-6.2 is less than -6.7.
-6.2 is greater than -6.7.
-6.7 is less than -6.2.
-6.7 is greater than -6.2.
=============================================================
Explanation:
Let's go through the answer choices one by one to see which are true and which are false.
A) This is false because -6.7 is to the left of -6.2 on the number line.B) This is false for similar reasoning as choice A.C) This is false because -6.7 < -6.2 means that -6.7 is the smaller value.D) This is true. The value -6.2 is larger than -6.7; we can say that -6.7 < -6.2 is the same as -6.2 > -6.7 (note the two sides swap places and the inequality sign flips).E) This is true and it's directly from -6.7 < -6.2; the inequality sign has the pointed edge aimed at the smaller value, while the non-pointed side is aimed at the larger value. You can think of an alligator's mouth that represents the < sign. The alligator will eat the larger value each time, so this is where the mouth faces.F) This is false since it contradicts choice E above. I recommend drawing out a number line to help see why -6.7 < -6.2 is a true statement.Using the graph below, what is f(5)?
F(5) would be the y value of where the line is when it is at x 5
The line crosses at -6.5
F(5) = -6.5
I WILL GIVE BRAINLIEST
Answer:
A, 7d^2
Step-by-step explanation:
d times d = d^2
multiply 7
7d^2
Answer: choice A) [tex]7d^2[/tex]
This is the same as writing 7d^2
==================================================
Explanation:
When we add a number to itself repeatedly, we can use multiplication to shorten things. For example: 3+3+3+3 = 5*3 = 15. We have five copies of '3' being added, which explains the 5 times 3.
Extending this idea leads us to shortening repeated multiplications into exponentiations. In the case of [tex]7*d*d[/tex], we have two copies of 'd' being multiplied. We replace [tex]d*d[/tex] with [tex]d^2[/tex] which is the same as d^2. The ^ symbol means "exponent".
The exponent (2) tells us how many copies of the base (the term d) we multiply out.
Another example would be [tex]d^3 = d*d*d[/tex]
So that's why [tex]7*d*d = 7d^2[/tex]
HELP I GIVE BRAINLIEST
Answer:
trapezoid --- [tex]\frac{1}{2} (b_{1} +b_{2})h[/tex]
circle --- [tex]\pi r^{2}[/tex]
triangle --- [tex]\frac{1}{2} bh\\[/tex]
parallelogram --- bh
Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
If 10 people can paint a fence in 3 days, how long would it take 6 is this:
A) Direct proportion
B) Inverse proportion
Answer:
B.Inverse proportion
in a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. what are the odds of a yellow marble being selected on the first draw?.
it is 2/6
you add all the marbles to the bottom and the yellow to the top
4. A trapezoid with bases that measure 8 inches and 11 inches has a height of 3 inches. What is the area of the trapezoid?
Answer:
28.5
Step-by-step explanation:
Answer:
25.5 in^2
Step-by-step explanation:
the formula to calculate a trapezoid is (base 1 + base 2) * height/2
So, (8+11)*3/2
17*3/2
51/2
25.5
Find the area of the trapezoid at the right
Answer:
A = 15
Step-by-step explanation:
A = [tex]\frac{a+b}{2}h[/tex]
A = (3 + 7 ÷ 2) ÷ 3
A = 15
good luck, i hope this helps :)
3
An aeroplane flies 4200 km at a speed of 800 km/ how long is the flight
Last month, John's dog ate 45 cans of dog food in 30 days. How many cans should John buy to feed his dog for the next 6 days?
Answer:
John needs to buy 9 cans to feed his dog for the next 6 days
Step-by-step explanation:
1.5 cans per day (45/30) apply that 1.5 × 6 = 9
Rachel paid for a -pound bag of shrimp at one store. The following week, she paid for a -pound bag at another store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
I need to know how much each bag costs. And how many pounds they are. If you can add that I can give you and answer.
Step-by-step explanation:
a flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 meters. One of the shorter sides is 7 meters longer than the other. Determine the length of the shortest side
Answer:
5
Step-by-step explanation:
On a random Friday in the fall, 95% of students were present at school. If there are a total of 420 students enrolled, then how many students were present that day
[tex] \frac{95}{100} \times 420 = 399[/tex]
Which inequality matches the graph?
Answer:
x<-1
Step-by-step explanation:
Hope this helps.
Which statement about the slope of the line is true?
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C. The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
D. The slope from point O to point A is 2 times the slope of the line from point A to point B.
Answer:
A
Step-by-step explanation:
sorry I don't kwon how to put it in, in explaination