Answer:
1.
(x+1)(x+2)>x(x+3)
x^2+2x+x+2>x^2+3x
x^2+3x+2>x+3x
2>0
2.
(x+2)^2>x(x+4)
x^2+4x+4>x^2+4x
4>0
Step-by-step explanation:
1.
Suppose x is the lowest number in the set of 4 consecutive numbers, then x+1, x+2, and x+3 are then the next numbers in the sequence since they are the next whole numbers.
Then, to follow the conditions of the problem, we make the equation:
(x+1)(x+2)>x(x+3)
Using the formula of (a+b)(c+d)=ac+ad+bc+bd, we can expand both sides of the equation into this:
x^2+2x+x+2>x^2+3x
=x^2+3x+2>x^2+3x
We can then cancel x^2+2x from both sides and we are left with 2>0.
2.
Again, suppose x is the lowest value in the set of consecutive numbers. In this case, odd numbers increase by 2 each time so the series of numbers are:
x, x+2, x+4
Therefore, to follow the conditions of the problem, we make the equation:
(x+2)^2>x(x+4)=
(x+2)(x+2)>x(x+4)
Using the same formula of (a+b)(c+d)=ac+ad+bc+bd, we get:
x^2+4x+4>x^2+4x
Cancel x^2+4x from both sides and we are left with 4>0
Hope this helps!
What is the greatest common factor of the terms of 3y2−21y+36
?
Answer:3(−4)(−3) This the answr can u solve my question maybe?
Solve equation by using the quadratic formula.
25x^2 + 60x = -36
I WILL GIVE OUT BRAINELIST Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x) .
Which pair of functions could have been used to create the graphs of g(x) and h(x)?
h(x)=(x+12)2 and g(x)=x2
h(x)=x2−12 and g(x)=x2
h(x)=x2+12 and g(x)=x2
h(x)=(x−12)2 and g(x)=x2
Answer:
h(x)=(x-12)2 and g(x)=2
please help me i really need to do well on this test! show your work :)
Step-by-step explanation:
a point is 0,-2. if you test all the others the equations are not true, so that's the only one that works and makes both equations true.
please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth
!. How wide and deep is the keyboard
2. what is the area of the keyboard
Answer:
Width = 6ft Area = 54 sq ft
Step-by-step explanation:
First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).
Translate the problem:
"The length of a rectangle is 3 ft longer than its width" means
L = 3 + W (eq1)
"the perimeter of the rectangle is 30 ft" means
P = 30 (eq2)
So, now the math is easy, just find L and W so we can compute the area:
P = 30 = 2L + 2W (eq3; from eq2 and the formula for P)
30 = 2(3+W) + 2W (use eq1 to substitute for L)
30 = 6 + 2W + 2W (distribute)
30 = 6 + 4W (collect terms)
24 = 4W (subtract 6 from both sides)
6 ft = W (divide both sides by 4)
Use the easiest equation (either eq1 or else eq3) to find L:
L = 3 + W (eq1)
L = 3 + 6
L = 9 ft
What is the area (A)?
A = L*W
A = (9 ft)*(6 ft)
A = 54 sq ft
Seven hours were allotted for a trip. If Saul's average speed was 65 miles per hour
how far could he go in the allotted time
Answer:
455 mph (miles per hour)
Step-by-step explanation:
65 x 7 = 455
Sorry if it is short. I wanna get as much answers before Exam Mode starts.
60 is 150% of what number?
Answer:
40
Step-by-step explanation:
You write down the %/100 = is/of 1st
So what you want to do is remove the percentage first and the place 150% And then place 60 on the "is" Numerator. And as u can see you do 100 * 60, that'll give you 600 and then the 150% is left alone, so you divide 600 and 150 And the answer is going to be 40
Hope this helps! Mark one of us as brainliest
Answer:
40
Step-by-step explanation:
x = 60 × 100 /150
x= 40
What multiplies to make 400 and adds to make -40 PLS HELP
Answer:
-20 and -20
Step-by-step explanation:
Mark brainliest please
HELP WHATS THE SCALE FACTOR FOR THIS
Answer:1.25
Step-by-step explanation:
Answer:
4:5 (with regards to small:big polygon)
Step-by-step explanation:
12:15 = 4:5
An investment of 4,000 earns 2% interest compounded annually. What will be value of the investment in 7 years
Start with your exponetial growth formula: y = a(1 + r)^t.
Now, a is going to be your initial amount, r is the rate, and t is the time.
So we have y = $4,000(1 + .02)^7.
Now simplify inside the parenthses first.
So we have y = $4,000(1.02)^7.
Simplifying further gives us y = $4,000(1.14868).
Now use a calculator to get y = $4,594.72
Evan spent $15.89 on 7 pounds of birdseed. how much did the bridseed cost per pound
(ख) अर्धव्यास 'a' भएको वृत्तको परिधि निकाल्ने सूत्र लेख । Write
down the formula for finding the circumference of a
circle with radius 'a'.
( (Ans: 2tta)
ATT
10pmलालाटा
AT
Answer:
i cant undersand!
Step-by-step explanation:
The radius of a circle is 5 cm. Find its circumference in terms of \piπ.
The formula is C=2(3.14)r
So we plug in the radius and multiply.
C=2(3.14)(5)
C=6.28x5
C=31.4
---
hope it helps
im supposed to solve this, but im first supposed to convert the bases to be the same and thats what im struggling with
9514 1404 393
Answer:
1
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
8 = 2×2×2 = 2³
4 = 2×2 = 2²
so the problem can be rewritten as ...
[tex]\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}[/tex]
__
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
______
Alternate solution
You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.
PLEASE HELP ASAP!!! 15 POINTS.
Answer:
option 4
Step-by-step explanation:
Hey There!
A line that has a negative slope will be going from left to right downwards if that makes sense
Thus meaning that option 4 has a negative slope
Shop Rite ordered 336 cases of Oreos with 42 packages in each case. What is the total number of Oreo packages that Shop Rite ordered?
Answer:
14112
Step-by-step explanation:
USE A CALCULATOR
Answer: 14112
Step-by-step explanation:
42 x 336 = 14112
Help me with this question
Work out the percentage change when a price of £50 is increased to £80.
Answer:
50 to 80 = 60%
Step-by-step explanation:
(80 -50) / 50 x 100 = 60%
3.
Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A. 4 lb per person
B. [tex]\frac{1}{4}[/tex] lb per person
C. [tex]\frac{9}{17}[/tex] lb per person
D. 36 people
Answer: 1/4
Answer:
Step-by-step explanation:
Here is the complete question: Find the rate of change for the situation:
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
Given: 1st situation, A chef cook 9 lbs chicken for 36 people.
2nd situation, chef cook 17 lbs chicken for 68 people.
∴ 1st situation, weight of chicken per person=
Weight of chicken per person=
2nd situation, weight of chicken per person=
Weight of chicken per person=
In both the situation chef cook same amount of chicken per person, which is
∴ Rate of change is
Step-by-step explanation:
There are several important information's already given in the question. Based on those information's the answer can be easily deduced.
In the first case,
The amount of chicken the chef cooks for 36 people = 9 pounds
Then
The amount of chicken the chef cooks for 1 person = 9/36
= 1/4 pounds
Now let us take the second case
The amount of chicken the chef cooks for 68 people = 17 pounds
Then
The amount of chicken the chef cooks for 1 person = 17/68
= 1/4 pounds
From the above deductions, it can be concluded that the correct option among all the options given in the question is the third option or option "B".
The tires on a mining truck are 14 ft tall is it a circumference,radius,diameter
Answer:nooooo
Step-by-step explanation:
fsdf
what is the explicit formula
Answer:
a(n) = 13 - 2n
Step-by-step explanation:
The explicit formula variables are a(n) = a(1) + d (n - 1). The a(1) is your number you started out with, and the d is the common difference. From the recursive formula example, you see that your first number is 11 and your difference is -2.
1. Plug the numbers into the equation : a(n) = 11 - 2 (n - 1)
2. Distribute: a(n) = 11 - 2n + 2
3. Add like terms: a(n) = 13 - 2n
If you want to double check, you can plug 1 into n and see if you get 11. I did this, and I did so it should be correct. Hope this made sense! Have a great day :)
Please help as soon as possible
Answer:
The answer is 17.5
Hope this helps
write the coordinates of a point whose Abcissa is -7 and ordinate is -2
Answer:
Abcissa = X, and Ordinate = Y
(-7,-2)
Is the answer
The length of a rectangle is 5 inches less than twice its width. The perimeter of the rectangle is 60 inches. Which system of equations can
be used to determine the length, L, and the width, W, of the rectangle?
Answer:
Step-by-step explanation:
L=2W-5 and P=2(L+W) is the system
Substituting L=2W-5 into P=2(L+W) gives you
2(2W-5+W)=P=60
2(3W-5)=60
3W-5=30
3W=35
W=35/3, L=2W-5
L=55/3
Help me with this pls
Answer:
C
Step-by-step explanation:
Please answer this math problem soon! No need for an explanation
Answer:
32
Step-by-step explanation:
the diagram shows triangle ABC
work out the sizes of angles x,y and z
Answer:
Step-by-step explanation:
x= 180-110(angles on a straight line)
x= 70
y=x=70 (alternate angles)
z= 110(alternate angles)
hey guys its my bday and i don't have time to do work rn but I need the answer for this. I will give brainly away
1- Jordana borrowed $72 from her sister. She paid her
sister back $72. How much does Jordana owe her
sister now?
A. $0
B. $36
C. $72
D. -$72
Answer:
it is - 72 are 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
jordan took 72 dollars and gave 72 dollars back
so -72+72=0
HEEELP MEEEE FIND THE CIRCUMFERENCE
Answer: 56.52
Step-by-step explanation: