Let potatoes be a and tomatoes be b
[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]
[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]
Simplify 2nd one
[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)
Solving both equations
b=7a=12-7=5On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
The domain is all real numbers. The range is {y | y ≤ 16}
How to determine the domain and the range?The attached graph completes the question
Calculating the domain
The function is given as:
f(x) = -x² - 2x - 15
The above function is a parabola or a quadratic function.
Quadratic functions have their domain to be the set of all real numbers.
Hence, the domain is all real numbers.
Calculating the range
On the graph, we have the maximum value of y to be:
Maximum = 16
Because the parabola opens down, the range would be:
y ≤ 16
Hence, the range is {y | y ≤ 16}
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2.4x-9.1x+12.5= -39.44
Solve for x
Answer:
x= 2597/335
Step-by-step explanation:
collect like terms
2.4x-9.1x= -6.7x
-39.44-12.5 = -51.94
-6.7x=-51.94
divide both sides by -6.7
x= 2597/335
Which of the following
Answer:
which of the following what??
Step-by-step explanation:
..
Mario started his homework at 3:30 he finished 25 minutes later what time did he finish his homework
Answer:3.55
Step-by-step explanation:
you add the time dude
A football is kicked into the air. Its height above the ground is approximated by the equation h=20t-5[tex]t^{2}[/tex], where h is the height in meters and t is the time in seconds since the football was kicked.
a)what are the zeros of the relation? when does the football hit the ground?
Answer:
Zeroes - x=0 and x=4
Football hits the ground at x=4 (4 seconds)
Step-by-step explanation:
1) Plug equation in graphing calculator and graph function.
2) Find zeroes
3) The second zero is when the football hits the ground
pls help me
do maths
Plz help me with this
How to you get 28 from the numbers 3, 6, 2, and 8, while only using each number once?
Answer:
3x6+2+8=28
Step-by-step explanation:
3x6=18
18 + 2 = 20
20 + 8 = 28
Answer:
9 1/3 or 9.33, 28/6 or 4 4/6, 14 and 28/8 or 3 4/8
Step-by-step explanation:
( 1 ) The number 28 divided by 3 gives 9 1/3 or 9.33.
( 2 ) Using a calculator, if you typed in 28 divided by 6, you'd get 4.6667. You could also express 28/6 as a mixed fraction: 4 4/6.
( 3 ) 28 divided by 2 is 14.
( 4 ) Using a calculator, if you typed in 28 divided by 8, you'd get 3.5. You could also express 28/8 as a mixed fraction: 3 4/8.
4% percent of a number is what fraction of that number?
Answer:
1/25
Step-by-step explanation:
Convert to a fraction by placing the expression over 100 .
Answer : 4/100 and / or 1/25
Step-by-step explanation:
when converting percentages to fractions its always out of 100
for example, if the percentage is 4% then its 4/100
Find the slope of the line going through the pair of points: (11, 7), (-9, 8)
20
O-20
0 - 20
O 20
Answer:
1/-20 or -0.05
Step-by-step explanation:
x over 2 +2= 15 two step equations
Answer:
[tex]\boxed{\boxed{\sf x=84}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{x}{6} +2=16[/tex]
Multiply both sides of the equation by 6:
[tex]\sf x+12=96[/tex]
Subtract 12 from both sides:
[tex]\sf x=96-12[/tex]
Subtract 12 from 96:
[tex]\sf x=84[/tex]
_________________________________
Answer:
[tex] \sf \: \longmapsto\frac{x}{6} + 2 = 16[/tex]
[tex]\sf \: \longmapsto\frac{x}{6} = 16 - 2[/tex]
[tex]\sf \: \longmapsto \frac{x}{6} = 14[/tex]
[tex]\sf \: \longmapsto \: x = 14 \times 6[/tex]
[tex]\sf \: \longmapsto \: x = 84[/tex]
Step-by-step explanation:
[tex]\fbox {\fbox {\fbox {\fbox{ \pink{HeavenMistress}}}}}[/tex]
Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
a)
864
b)
865
c)
800
d)
850
Answer:
540 books
Step-by-step explanation:
It is given that Iqbal's shelf is 7/8 full ..
→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....
Similarly,
Sachin's shelf is 12/15 full.
→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....
→ Both total Empty = (1/8 + 3/15)
Taking LCM of denominator ,
→ (15+24 /120)
→ 39/120
→ 13/40 part is Empty in both .
Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .
So, we can say that :----
→ 13/40 part ---------------- 351
→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .
__________________
Now, since bookshelves of the same size and holding books of the same sizes ,,
→ Both have Books in Each = 1080/2 = 540 books .
how many days would it take to eat an water buffalo
Which is further 104km or 70 miles ?
Answer:
104 km is further than 70 miles.
Step-by-step explanation:
Using the conversion table, we can tell that 1 km = 0.62 miles. Now, let's see which is bigger.
=> 104 km ☐ 0.62 miles=> 0.62 x 104 ☐ 0.62 x 70 => 104 ☐ 70 => 104 > 70Conclusion:
We can clearly see that 104 km is further than 70 miles.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Does the point (4, 8) satisfy the equation y = 2x?
Answer:
Yes
Step-by-step explanation:
You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.
y=2(4)
y=8
Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.
if Sophia took a bath at 9:36 and finish at 10:30 how much time did she use in taking a bath
Answer:
54 minutes
Step-by-step explanation:
1) There are 60 minutes in an hour. So, you can do 60-36 to find the first value. (24)
2) Add 24 minutes to 30 and get 54 minutes.
How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?
John is 9 times as heavy as his dog.
Determine which of the statement's below is true.
O John weighs 900% more than his dog.
O John weighs 800% more than his dog.
O John's dog weighs 800% less than John.
sources
O John weight is 800% of his dog's weight.
Answer:
John weighs 900% more than his dog
Step-by-step explanation:
The weight of John is 8x more than his dog.
Given that, John is 9 times as heavy as his dog.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let weight of John's dog be x, then weight of John will be 9x.
Difference of weight = 9x-x
= 8x
Therefore, the weight of John is 8x more than his dog.
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f(x) = -3x +4 when x = -5 show every step
Answer:
f(-5) = 19
Step-by-step explanation:
f(x) = -3x + 4
f(-5) = -3(-5) + 4
f(-5) = 15 + 4
f(-5) = 19
Answer: The answer is 19
Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.
Forgot to add the F(-5) sorry.
This is for the real ones- find the missing side x. Giving brainliest.
Answer: The answer is X equals 10 2/3.
Explanation: This is a proportion. We see that the right rectangle when turned to the right is proportional to the left rectangle. On the left rectangle, the smaller side is 6 ft, and the larger side is 16 ft. On the right rectangle, the smaller side is 4 ft. 6 ÷ 1.5 = 4, therefore 16 ÷ 1.5 = 10 2/3.
PLEASE HELP ME!!
The pie chart below showshow we annual budget for the passasted Manufacturers Company is divided by department. Use this chant to answer the
(a) Which department accounts for approximately one-third of
the annual budget
Support
Sales
Research
Engineering
Support
Media
Marketing
(b) Appraimately what percentage of the and botinet is
used for Sales and Research combined
Write your answer as a multiple of 10%- that is, 10%, 20%, 30%,
(C) 16% of the annual budget is used for Mariesting,
approximately what percentage is used for Support
2%
09%
18%
300%
Answer:
a) Research
b) 50%
c) 18% (as marked)
Step-by-step explanation:
a)About 1/3 of the chart is covered by the segment marked Research.
__
b)Sales and Research together cover almost half the chart, about 50%.
__
c)The size of the Support sector is about 3 times the size of the Marketing sector. This lets us estimate Support at about 18% of the budget.
1. Nimish bought a motorcycle for ₹37,690 and sold it for ₹39,100. Find his
profit or loss.
Answer:
1410
Step-by-step explanation:
Selling Price= 39100
Buying Price= 37690
Profit= Selling Price - Buying price
=39100-37690
=1410
His profit: ₹39,100 - ₹37,690 = ₹1,410
=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)
His profit is 3.75% than the original price
ok done. Thank to me :>
D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
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The national debt of a country is
$27,895,168,401,112. What is this number as a
product of a single digit and a power of 10?
Answer: [tex]3 \times 10^{13}[/tex]
Explanation:
Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.
The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.
It converts to the scientific notation [tex]3 \times 10^{13}[/tex] because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.
What is the equation of the line that passes through the point (-1, -7) and has a
slope of 2?
Answer:
y = 2x - 5
Explanation:
Since the slope is given as 2, we can substitute this into the equation:
y = 2x+b
Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).
Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).
Adding this to our point of (-1,-7), we get:
((-1+1),(-7+2)) = (0, -5)
Therefore -5 is our y-intercept.
Now, substituting -5 into our equation, we get:
y = 2x + -5
Answer:
y=2x-5
Step-by-step explanation:
The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.
To find b use the equation [tex]b=y_1-m*x_1[/tex]. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.
So, plug in the values to get the final equation y=2x-5.
The graph below shows the water level in a tank being drained at a
constant rate. What does the Y-intercept of the graph represent? *
Tank Water Level
16
14
12
10
(1, 10)
Height (in.)
(4,4)
01234567
Time (h)
O The initial height of the water before any water drained out.
The number of hours it takes to completely empty the tank of water
O The number of hours needed to drain 1 inch of water from the tank
The number of inches that the tank can hold
Answer:
the initial height of water.
Step-by-step explanation:
when time equals zero, no water has been drained.
the volume of the tank is unknown however the volume in the tank is 12 at time zero
P l e a s e NO LINKS!
Which word has reflectional symmetry across a horizontal line?
A. BOOK
B. LOOK
C. NOOK
D. ROOK
Answer:
A BOOK
Step-by-step explanation:
pretty sure its that
The word BOOK shows a reflection symmetry across a horizontal line.
Hence, option (A) is correct.
What is reflection?Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.
Solve with the help of options,
(A)
BOOK
To find the reflection across a horizontal line,
When word B reflected over horizontal line, it is symmetrical
Word O is symmetrical.
And K is also symmetrical across a horizontal line.
Therefore, BOOK is a reflection symmetry across a horizontal line.
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This is a true or false question. (Question in the photo)
Answer:
Step-by-step explanation: The answer is False.
Answer:
True my mom helped
Step-by-step explanation:
that's all I know
i need help on this- It says on the top Which Division equation IS represented by the drawing below-°
Answer:
D im pretty sure
Step-by-step explanation:
If each line is 20 x 3 = 60 12 dots 60 + 12 = 72 divided by 3 circles = 24
Solve for x
-1/5x -25 = -9
Answer:
-80
Step-by-step explanation:
you pass the 25 to the right side adding and the the 1/5 multiplying by -5 to the right side