Answer: 5 by 12
Step-by-step explanation:
Let's call the dimensions of the rectangle w and w+7
The area is 60, so we can do 60=w(w+7)
60=w^2+7w
w^2+7w-60=0 factor the quadratic equation
(w-5)(w+12)=0
w-5=0, w=5
w+12=0, w=-12
Since the length of a rectangle cannot be negative, w=5
the dimensions of the rectangle are 5 and 12
Determine whether the sequence converges or diverges. If it converges, give the limit.
50, 25/2, 25/8, 25/32, ...
Answer:
The sequence converges to 0.
Step-by-step explanation:
Every new number is divided by 4 and will continue to grow smaller until it converges to 0.
Suppose that a sales person observes that if an item is priced at $9 per item then 6 items are sold. If 4 items are sold for $11 per item then find a linear equation to model the number y of items sold for x dollars per item. Find the slope-intercept form of the equation of the line.
Answer:
y = -x + 15
Step-by-step explanation:
if an item is priced at $9 per item then 6 items are sold.
Thus, the input is 9 while the output is 6.
Thus, we can say; x, y = (9, 6)
4 items are sold for $11 per item. Thus, the coordinate is; (11, 4)
Now,slope is;
m = (y2 - y1)/(x2 - x1)
m = (4 - 6)/(11 - 9)
m = -2/2
m = -1
We know that slope intercept form is;
y = mx + c
Let's try the first point.
Thus;
6 = -1(9) + c
6 + 9 = c
c = 15
Thus, equation of line is;
y = -x + 15
The temperature of a city B (x) last week was lesser than or equal to - 9°C.
Represent this as an inequality. Does -8°C satisfy this inequality?
O xs-9, No.
O x2-9, No.
XS-9, Yes.
O x2-9, Yes.
Answer:
XS-9, yes#####################
$15.00
$20.00
$25.00
$30.00
Answer:
Im guessing its
C
Step-by-step explanation:
Option B - $20
Total guests = 15
Total Money = $300
Per Guest Cost = 300/15
= $20
Therefore she will spend $20 per guest
Answered by Gauthmath must click thanks and mark brainliest
Which one is the geometric sequence.
Answer:
C
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms
A
4 ÷ 2 = 2
6 ÷ 4 = 1.5
Thus not a geometric sequence
B
1 ÷ 1 = 1
2 ÷ 1 = 2
Thus not a geometric sequence
C
[tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]
D
4 ÷ 7 = [tex]\frac{4}{7}[/tex]
1 ÷ 4 = [tex]\frac{1}{4}[/tex]
Thus not a geometric sequence
Then the geometric sequence is C
Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2
Answer:
The answer is "[tex]\frac{1}{2}[/tex]".
Step-by-step explanation:
Given points:
[tex](-2,3)\\\\(2,5)\\\\[/tex]
average rate=?
[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]
[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]
Answer if you want tho...
Answer:
3 loaves 2 bananas left.
Step-by-step explanation:
The answer is asking how many loaves of three bananas Seth can make. 11 can be divided by 3 a total of 3 times, leaving a remainder of 2 bananas that would not be enough to make another loaf.
divide 180 in three parts 1/10: 1/15: 1/20
Answer:
83,55,41
Step-by-step explanation:
1/10 : 1/15 : 1/20
180/10 : 180/15 : 180/20
18 : 12 : 9
=> 6 : 4 : 3
Sum of the ratios = 6 + 4 + 3 = 13
1st ratio: (6/13) * 180 = 83 (approximately)
2nd ratio: (4/13) * 180 = 55 (approximately)
3rd ratio: (3/13) * 180 = 41 (approximately)
∴ Three parts of 180 in the ratio 6 : 4 : 3 is 83, 55 and 41
HELP MEE
What is the LCM of 9 and 12?
24
36
3
12
Answer:
It is 36
Step-by-step explanation:
Hopefully this help
Have a good day bye
Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?
There are j cars at the Rockford dealership and k cars at the Robinson dealership. The Robinson dealership has 6 more than three times as many cars as the Crockford dealership. What is the value of k in terms of j?
Answer:
[tex]k=3j+6[/tex]
Step-by-step explanation:
We can setup an equation in terms of k and j:
[tex]k=3j+6[/tex]
We get this equation because there are 6 more than 3 times the Crockford cars in the Robinson dealership. We see that the equation already is the value of k in terms of k, so we have our answer.
The formula p=nc-e gives the profit p when a number of items n are each sold at a cost c and expenses e are subtracted. If p = 3750, n = 3000, and e = 900, what is the value of c?
Answer:
1.55
Step-by-step explanation:
p =nc-e
p=3750, n=3000, e=900, c=?
3750 = 3000c - 900
3750 + 900 = 3000c
4650 = 3000c
3000c = 4650
c = 4650/3000
c = 1.55
Three chains, each 14 feet in length, are
linked end to end. Two longer chains of
equal length are added to make a total
length of 100 feet. What is the length of
one of the longer chains?
A. 29 ft
B. 36 ft
C. 42 ft
D. 58 ft
E. 72 ft
Answer:
29 feet
Step-by-step explanation:
14 × 3 = 42
100 - 42 = 58
58 ÷ 2 = 29
One of the longer chains is 29 feet long.
Hope this helps.
A ball is thrown into the air with an upward velocity of 36ft/s . It’s height h in feet after t seconds is given by the function h= -16t2 + 36t +10 . How many seconds does the ball reach its maximum height
lllStep-by-step explanation:
so i need help with this pls i suck at algebra
Answer:
The 5x^2 vs -5x^2 will reflect over "X" axis
the +1 vs -2 will shift the graph down three units
the first answer is the correct answer
Step-by-step explanation:
I need help it’s urgentttttt!!!!!!!
Answer:
∠ JFK = 57°
Step-by-step explanation:
∠ JFK and ∠ GFH are vertically opposite and congruent , then
∠ JFK = ∠ GFH = 57°
¿Cual es el resultado de dividir 164.64 entre 8
Answer: 20.58
Step-by-step explanation:
what describes how to determine if a relation given in a table is a function
Answer:
You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
PLZZ answer this in a simple method
Answer:
hope this help you
of my handwriting is bad then sorry.
Answer:
have a great day
may god bless you a lot
G is related to one of its parent function g(x)=2√x. a) find the f function b) using the function notation write g interns of f
Answer:
Here we have:
g(x) = 2*√x
And we know that it is related to a parent function, where the parent functions are:
Linear Function: f(x)=x.
Quadratic Function: ݂f(x)=x^2.
Square Root function: f(x)= √x.
Absolute Value function: f(x)=|x|
Cubic function: f(x)=x^3.
Cube Root function: f(x) = ∛x
Logarithmic function: f(x)=log x or f(x)=In x.
Exponential function: f(x) = a^x.
a) Because g(x) = 2*√x
We can see that it is related to the square root function, then the parent function is:
f(x) = √x
b) now we want to write g(x) in terms of f(x)
we have:
g(x) = 2*√x
we can replace √x by f(x)
then we get:
g(x) = 2*f(x)
Now we have g(x) in terms of f(x)
Check all that apply.
4x2 + 4x + 1 = 0
O A. X=
1
2
1
B. X= -2
c. x=-1
O D. x = 2
O E. x=
=
3
2
O F. X = 3
Answer:
x = -1/2
Step-by-step explanation:
4x^2 + 4x + 1 = 0
Factor
(2x+1)(2x+1) =0
Using the zero product property
2x+1 = 0 2x+1 =0
2x = -1 2x=-1
x = -1/2 x = -1/2
What is -20/64 in simplest form?
Answer:
-5/16
Step-by-step explanation:
-20 /64
Divide the top and bottom by 4
-5/16
Find the surface area of the composite figure,
2 cm
6 cm
14 cm
8 cm
8 cm
4 cm
6 cm
2 cm
SA = [?] cm²
3(t-3)=5(2t+1) solve the following linear equations
Step-by-step explanation:
3(t-3)=5(2t-1)
= 3t-9=10t-5
= 3t-10t = -5+9
= -7t = 4
= -t = 4/7
= - 4/7 Answer
hope it helps
2^{2x}-5\cdot2^{x}+4=0
This is a polynomial in [tex]2^x[/tex] that can be factorized:
[tex]2^{2x}-5\cdot2^x+4 = 0[/tex]
[tex]\left(2^x\right)^2-5\cdot2^x+4=0[/tex]
[tex]\left(2^x-4\right)\left(2^x-1\right)=0[/tex]
[tex]2^x-4=0\text{ or }2^x-1=0[/tex]
[tex]2^x=4\text{ or }2^x=1[/tex]
Since 4 = 2² and 1 = 2⁰, you get the two solutions x = 2 and x = 0.
Mary spends her Saturday mornings buying groceries, helping her children with homework, cooking, and
working on her weekend assignment. She does not always do these tasks in the same order. In how many
possible ways can she do her tasks?
Answer:
I think in 2 or 3 process. But I am not sure
Currently, your masks sell for $1 each. At that price you are able to sell 6000
masks per week: A recent survey you conducted found that for every 10 cent
increase in the price of the mask package you would sell 150 less mask packages..
The current price of the mask is $1 per mask and there is expected demand of 6000 masks per week.
If the company plans to increase the price the demand for the masks will decrease.
Revenue = 6000 * x
Total revenue will be $6,000 if the price of mask is $1. If price of mask increase by 10% then quantity will be declined to 5850 masks [6000 - 150].
New price = $ 1 * 110% = $1.10
Revenue = 5850 masks * $ 1.10 = $6,435.
Then correct answer is Revenue will increase if price of mask is increased.
Learn more at https://brainly.com/question/24319270
Solve the inequality.
q + 12 - 2(q - 22) > 0
a.)9 <-32
b.)9 < 56
c.)9> -32
d.)9 > 56
[tex]\\ \sf\longmapsto q+12-2(q-22)>0[/tex]
[tex]\\ \sf\longmapsto q+12-2q+44>0[/tex]
[tex]\\ \sf\longmapsto q-2q+12+44>0[/tex]
[tex]\\ \sf\longmapsto -q+56>0[/tex]
[tex]\\ \sf\longmapsto -q>-56[/tex]
[tex]\\ \sf\longmapsto q<56[/tex]
solve this questions
Answer:
3 a) solution:-
Discount=Rs 1,200
S .P =RS 4,000
M P=?
we know that,
Discount= M.P - S.P
or, Rs 1,200= M.P - Rs 4,000
or, M.P = RS (4,000-1,200 )
M.P = RS 2,800
In no. 3 all we have to make like this .........
Hope it helps
Answer:
Step-by-step explanation:
2)a) M.P =₹ 5000
S.P = ₹4000
Discount amount = M.P - S.P
= 5000 - 4000
= ₹1000
Discount percent = [tex]\frac{discount \ amount}{M.P}*100[/tex]
[tex]= \frac{1000}{5000}*100\\[/tex]
= 20%
3)a) Discount = ₹ 1200
S.P = ₹ 4000
M.P = S.P + discount
= 4000 + 1200
= ₹ 5200
4)a ) Discount rate = 15%
S.P= ₹ 4000
[tex]M.P = \frac{100+Discount rate}{100}*S.P\\\\=\frac{115}{100}*4000[/tex]
= ₹ 4600
The step function f(x) is graphed
What is the value of ( -1)?
3
4
0 1
3
0 0
2
1
1
.
-4-3-2
1
2
3
4
5 6
X
-2
-4-3-2
1
2
3
4
5 6
x
-2gbhdfcjfghu
