Answer:
the cost of each is £10 and £8 respectively
Step-by-step explanation:
Let us assume the cost of per DVD be x
And the cost of per CD be y
Now as per the question
The following equations should be made
3x + 4y = £62.00
4x + 3y = £64.00
Now multiply by 4 in equation 1 and 3 in equation 2
12x + 16y = £248
12x + 9y = £192
7y = £56
y = £8
Now put the value of y in any of the above equation
3x + 4( £8) = £62
3x + £32 = £62
3x = 30
x = £10
Hence, the cost of each is £10 and £8 respectively
45,678 in unit form
Which function has a relative minimum at (0, -3)?
xy=80 solve log x- log y=1
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
Which statements are correct about the average rate of change for the function f(x) = x2 + 9x + 18 ?
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
TIMED TEST WILL GIVE BRAINLIEST
Answer: 12?
Step-by-step explanation:
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.
A cube with side length 12 centimeters and a square pyramid on top. The height of one triangular face of the pyramid is 15 centimeters.
Answer:
1224
Step-by-step explanation:
12 x 12 = 144 then do 144 x 6 = 864
15 x 12 x 1/2 = 90 then 90 x 4 = 360
Add 864 + 360 = 1224
BUT
I am not sure if this is correct. I looked up this equation and I see that it says the answer is 1080 so let me know which one you got right
If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times
Natalie's age, the result is 83. Write and solve a system of equations to find how old Fred and Natalie
are
Answer: 31, 13
Step-by-step explanation:
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
Order the steps in which to solve this expression. The value should be last.
PLEASE HELPPP.
Answer:
Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value
Step-by-step explanation:
Please help!!!!!! I’ll mark Brainlyist!!!!!
Answer:
its 55
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 113.49
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Item 9
Find the surface area of the prism.
Answer: S = 2(lw + lh + wh)
Step-by-step explanation: Use this formula to find the total surface area of a prism.
PLS HELP (CLICK ON HERE TO SEE QUESTION)
Answer:
C
Step-by-step explanation:
the answer is C because the 2 angles are congruent, making it the same degree
hope this helps :)
Answer:
160
Step-by-step explanation:
y is the same shape and degree is 1 60 on the other side please mark brainliest
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:11
Step-by-step explanation:smart
ik this is alot but please help me.
Answer:
help u in what please ask the question so we can anwser
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
14 club members have birthdays in summer. This is 20% of the birthdays in the club. How many club members are there? How do you do this, for kids?
Answer:
70 club members in all
Step-by-step explanation:
we know that 14 people is equal to 20%
we also know that to get 20% to 100% you multiply by 5
So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)
hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.
hope this helps <3
Answer:
70 members
Step-by-step explanation:
Whatever the % is, the answer on the right side of the equation must by 14
So 20% of some number = 14.
20/100 x = 14 Remember 20% = 20 / 100. Multiply by 100
20x = 14*100
20x = 1400 Divide by 20
x = 1400/20
x = 70
There are 70 members in the club.
Kids are done no differently.
The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.
Tasha needs to eat no more than 1,800 calories per day. Each scoop of ice
cream contains 100 calories. How many scoops of ice cream can Tasha eat
for dessert tonight if she already consumed 1,450 calories today?
Answer:
3.5 or 3 1/2
Step-by-step explanation:
1,800-1,450=350
She has 350 calories left to consume 1,800 in total.
There are 3.5 100 calories in 300.
The awnser will be 3.5 or 3 1/2.
She can have 3 1/2 of ice cream.
Hope this helped and you understood :) :)
Answer:
3.5[3 1/2]
Step-by-step explanation:
100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100
PLEASEEEEE HELPP
Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?
9514 1404 393
Answer:
$7
Step-by-step explanation:
Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...
14r +12g = 206
g = 2r -5
Using the second equation to substitute for g in the first equation, we have ...
14r +12(2r -5) = 206
38r -60 = 206
38r = 266
r = 266/38 = 7
The cost of one rose bush is $7.
Did I get this first question right?
Answer:
no
Step-by-step explanation:
the correct answer is 56.55 inches
Step-by-step explanation:
nope. radius = 1/2D so it's 9.
2. r= 14.5
3. d= 42
4. d = 26
PLEASE ANSWER QUICK
The sum of the data values divided by the number of data values is a measure of ______ and is called the _____
FIRST BLANK'S OPTIONS = CENTER/SPREAD
SECOND BLANK'S OPTIONS = MEAN/MEAN ABSOLUTE DEVIATION/MEDIAN/RANGE
Answer:
Center... Mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.
HELP !! giving the brainlest answer to whoever gives the correct answer !! HELPPP PLLSS LAST MINUTEEE
Answer:
D
Step-by-step explanation:
Given f(x) = 6x – 9, find the value of f(-8).
Answer:
-57
Step-by-step explanation:
f(-8)=6(-8)-9
f(-8)=-48-9
f(-8)=-57
What is the equation of the line in slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
Label the diagram
with
x-axis y-axis origin quadrant I quadrant II quadrant III quadrant IV
A
B
C
D
A) y-axis
B) quad lll
C) x-axis
D) quad IV
Is this the answer you were looking for?
Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4
Answer:
B 2/1
Step-by-step explanation:
2/2=1
3/3=1
4/4=1
and 2/1=2
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
PLEASE HELP ME OUTTT
GEOMETRY!!!! Will give brainliest
I need these 4 questions, they are 7th grade level so should be easy enough