Two functions are shown in the table below: Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2 Complete the table on your own paper, then select the value that is a solution to f(x) = g(x). x = 2 x = 3 x = 5 x = 6
Answers
Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
Answer:
x = 5
Step-by-step explanation:
When you graph on desmos it shows (5 , 7) and (-2 , 0) when you do the work in 5, both equations equal 7.
Related Questions
there are 36 members in an investment club. the number of 40% of the males in the club is equal to 50% of the number of females. HOw many more males are there than females?
Answers
Answer:
Their is 10% of males and females.
Step-by-step explanation:
Because if you subtract 50% and 40%you would get 10% that means their is more females.
How far did I travel to reach my destination on each day of my three-day Trip? a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination. b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination. c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answers
Answer: 81 miles
Step-by-step explanation:
The total distance traveled on the three-day trip is: 81 miles.
How did we get the value?Denote the total distance of each day's journey by D1, D2, and D3, respectively. Then write equations based on the given identities:
a. (5/8)D1 + 15 = D1
(3/8)D1 = 15
D1 = 40 miles
So, the total distance traveled on Day 1 is 40 miles.
b. 18 + (2/5)D2 = D2
(3/5)D2 = 18
D2 = 30 miles
So, the total distance traveled on Day 2 is 30 miles.
c. (5/11)D3 + 6 = D3
(6/11)D3 = 6
D3 = 11 miles
So, the total distance traveled on Day 3 is 11 miles.
Therefore, the total distance traveled on the three-day trip is:
40 + 30 + 11 = 81 miles.
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A tissue box is shaped like a right rectangular prism. It has a base area of 16 square inches and a height of 513 inches.
What is the volume of the tissue box?
Answers
Answer:
85 1/3 in^3
Step-by-step explanation:
volume=base area s hight
Answer:
divided the most common numbers thats how i were taught .
Step-by-step explanation:
Triangle ABC has angle measures as shown.
What is the value of
Thank you and have a nice day!
Answers
The sum of the angles of any triangle is 180 degrees, so we get the equation:
\((70)+(60)+(8x+2)=180\\8x+132=180\\8x=48\\x = 6\)
x = 6
Hope that helps!
QUESTION 8,9,10,11, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!
Answers
help me please I will give who is right briniest
Answers
Answer:
1. x=6
2. x=24
3. x=60
4. x=6
Step-by-step explanation:
1. divided by 2
2. multiplied by 2
3. multiplied by 5
4. divided by 1.5
Answer:B
Step-by-step explanation:
Evaluate.
(−13+0.3(−13) +1) ^2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
Answer: 289/900
Explanation: I did this before
25281
100
1 Calculate: (-13 + 0.3 x (-13) + 1)2
252.81
2 Convert to fraction: 252.81
25281
100
Show
Three research departments have 8 ,10 , and 7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
Answers
We can conclude that exists 211680 ways.
How many ways can this be done?We know that the three research department is have 8, 10, and 7 members.
We choose a delegate and an alternate to represent the department.
First case: department have 8 members.
So, for a delegate, we have 8 options, and for a alternate 7, so a total of
\(8 \times 7 = 56 \ \text{options}\)
Second case: department have 10 members.
So, for a delegate, we have 10 options, and for a alternate 9, so a total of
\(10\times 9 =90 \ \text{options}\)
Third case: department have 7 members.
So, for a delegate, we have 7 options, and for a alternate 6, so a total of
\(7\times6 = 42 \ \text{options}\)
Therefore, we get:
\(56 \times 90 \times 42 = \bold{211680}\)
Hence, we conclude that exists 211680 ways.
For a similar problem about this, please click the link below:
https://brainly.com/question/30958797
For the first department with 8 members, there are 8 choices for selecting a delegate. After choosing a delegate, there remain 7 members, so there are 7 choices for selecting an alternate. Therefore, there are 8 × 7 = 56 ways to select a delegate and an alternate from the first department.
Similarly, for the second department with 10 members, there are 10 choices for selecting a delegate and 9 choices for selecting an alternate. Hence, there are 10 × 9 = 90 ways to select a delegate and an alternate from the second department.
For the third department with 7 members, there are 7 choices for selecting a delegate and 6 choices for selecting an alternate. Thus, there are 7 × 6 = 42 ways to select a delegate and an alternate from the third department.
To find the total number of ways to select delegates and alternates from all three departments, we multiply the number of choices for each department together:
56 × 90 × 42 = 211,680.
Therefore, there are 211,680 ways to select a delegate and an alternate from each department.
What is the solution to this equation?
2x + 3 = x – 4
Answers
Answer:
x = -7Step-by-step explanation:
2x + 3 = x – 4
2x - x = -3 - 4
x = -7
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The coordinate plane shows the positions of different places in a town. Each unit on the graph is equal to 1 block. Match the paths with their distances.
13 blocks
9 blocks
7 blocks
16 blocks
10 blocks
from school to the supermarket
from the park to the supermarket
to the baseball field
from home to the baseball field
from home to the park
to the supermarket
Answers
Answer:
a) 7 blocks
b) 16
c) 10
d) 13
guy can you help it is to early for me to do math please and thank you.
Answers
Answer: D
Step-by-step explanation: -6 is less than 7
Since -6 is less than 7
On average, Connor drinks 3/5 of an 8-ounce glass of water in 1 3/4 hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answers
Answer: 2.744 ounce of glass of water.
Step-by-step explanation:
In a blueprint, each square has a side length of 1/4 inch.
a. Ceramic tile costs $5 per sqare foot. How much would it cost to tile the bathroom?
b. Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and the living room?
Answers
Answer:
a. it would cost 30 dollars
b. it would cost 360 dollars
The cost to carpet the bedroom and the living room is $12.75.
Given that, in a blueprint, each square has a side length of 1/4 inch.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
a) Now, the dimensions of bathroom are length=3/4 inches and width=1/4 inches
Area of a bathroom =3/4 ×1/2
= 3/8 square inches
Cost of 1 square inch = 5/12 per square inch
So, cost to tile the bathroom = 3/8 ×5/12
= 15/96
= $0.15625
b) The dimensions of living room are length=7/4 inches and width=4/4 inches
Area of a living room = 7/4 ×4/4
= 28/16
Cost of 1 square inch = 18/3 per square inch
= $6 per square inch
Cost of carpet for the bathroom = 3/8 ×6
= $2.25
Cost of carpet for the living room = 28/16 ×6
= $10.5
Total =2.25+10.5
= $12.75
Therefore, the cost to carpet the bedroom and the living room is $12.75.
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A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.6 inches
60.8π square inches
92.8π square inches
32π square inches
29.6π square inches
Answers
Answer:
60.8π square inches.
Step-by-step explanation:
The label is a rectangle that will be wrapped around a cylinder. So, the area of the label can be found by multiplying the height of the rectangle by the circumference of the cylinder. The circumference of the cylinder can be found by multiplying the diameter by π. Since the two circles in the figure represent the top and bottom faces of the cylinder, the diameter is 2 × 4 = 8 inches. Therefore, the circumference of the cylinder is 8π inches. Thus, the area of the label is:
7.6 × 8π = 60.8π square inches
Therefore, the label is 60.8π square inches.
Answer:
60.8π square inches
Step-by-step explanation:
Chain of thought reasoning: 1. The label is represented by the rectangle in the figure.
2. The area of a rectangle is equal to the width multiplied by the height or A = w x h.
3. The width of the rectangle is equal to the circumference of the circles.
4. The circumference of a circle is equal to 2πr, where r is the radius of the circle.
5. Therefore, the width of the rectangle is equal to 2π x 4 = 8π inches.
6. The height of the rectangle is 7.6 inches.
7. Therefore, the area of the rectangle is equal to 8π x 7.6 = 60.8π square inches.
The width of a rectangle is 4x - 4.5 feet and the length is 4.5x+7 feet. Find the perimeter of the rectangle.
Answers
Answer:
17x+5
Step-by-step explanation:
1. Perimeter of triangle
P = 2(L +W)
P = 2((4.5x+7) + (4x-4.5)) = 2(8.5x+2.5)
P = 17x+5
Rectangle perimeter- P= 2(l+w)
I need help pls thank u
Answers
Answer:
The answer is 410 5/8
The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?
Answers
Answer:
\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)
Step-by-step explanation:
Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.
\(A = \frac{h_{b}+b}{2}\)
Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.
By using trigonometric relations we will see that the area is:
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
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Zahra cuts out a rectangle that has a perimeters of 22 inches and a length of 9 inches she cuts another rectangle that is the same length and twice as wide.
Answers
Answer:
The first rectangle that Zahra cuts out has a perimeter of 22 inches and a length of 9 inches. To find the width of this rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Substituting in the given values, we have:
22 = 2(9 + width)
Simplifying and solving for width, we get:
width = 2 inches
Therefore, the dimensions of the first rectangle are 9 inches by 2 inches.
Zahra then cuts another rectangle that is the same length (9 inches) but twice as wide as the first rectangle. Therefore, the width of this second rectangle is:
2 x 2 inches = 4 inches
So, the dimensions of the second rectangle are 9 inches by 4 inches.
In summary, Zahra has cut out two rectangles with dimensions as follows:
- Rectangle 1: Length = 9 inches, Width = 2 inches
- Rectangle 2: Length = 9 inches, Width = 4 inches
2+2=4 4+4=8 keep going until u get quad digit numeros
Answers
Answer:
8+8=16
16+16=32
32+32=64
64+64=128
128+128=256
256+256=512
512+512=1024
1024+1024=2048
...
Step-by-step explanation:
Answer:
8+8=16
16+16=32
32+32=64
64+64=128
128+128=256
256+256=512
512+512=1024
1024+1024=2048
Step-by-step explanation:
Uhm same thing, this is confusing.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
This is a question from Khan Academy:
A company makes spherical tanks that store chemicals. Their standard model has a diameter of 666 meters, but a customer needs a larger tank whose capacity is 2.52.52, point, 5 times the volume of the standard model.
Sanjay wants to make a smaller pyramid using the same mold, so he plans to fill the mold 2 cm from the top.
What is the approximate volume of this smaller pyramid?
Round to the nearest cubic centimeter.
Answers
Answer:
coool
Step-by-step explanation:
There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
Answers
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
Find the value of the following expression:
(28⋅ 3−5⋅ 60)−2⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Answers
Answer:
(5^2 x 2^28 / 2^28)
Step-by-step explanation:
thats the farthest i could simplify it because i suck at math
Answer: (5^2 x 2^28 / 2^28)
Step-by-step explanation:
Please help me I'm desperate
Answers
Answer:
499.2
Step-by-step explanation:
10.4x6x8
The surface area is 499.2
Explanation:
10.4 x 12 divided by 2 is 64.4 x 8=499.2
A restaurant worker used 5 loaves of wheat bread and 2 loaves of rye bread to make sandwiches for an event. Write a ratio that compares the number of loaves of wheat bread.
Describe what the ratio 7:2 means in terms of the loaves of bread used for the event
Answers
Answer:
5:2 or 5 to 2 as a fraction 5/2
Step-by-step explanation:
Answer:
5:2
Step-by-step explanation:
there are 5 wheat bread and 2 rye bread loaves so 7:2 means you added 2 more loaves of wheat bread.
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
Find the volumes to prove whether or not Alice is right.
Answers
Need Help, Pleaseeeeeeeee.
Answers
5.6^-5 • 5.6^3
And the exponents would go like -
-5 + 3 = -2
5.6^-2
3.4^-4 • 3.4^-7
-4 + -7
3.4^-11
5.6^-2 • 3.4^-11
Answer: D
anyone know this need asap
Answers
Answer: y=x-20
Step-by-step explanation:
(90,70) will be x1,y2. (30,10) will be x1,y1. Put these values into the slope formula, which is y2-y1/x2-x1. 70-10/90-30. 60/60=1. The slope is 1. Now to find the slope-intercept equation, use point slope form which is y-y1=m(x-x1). y-10=1(x-30). Distribute the 1 to the terms in the parenthesis. y-10=x-30. Add 10 to both sides to eliminate 10. y-10+10=x-30+10. y=x-20.
Which answer shows the following expression in simplest form?
y(2.5 + 7) + y - 2
A 10.5y - 2
B 3.5y - 5
C 2.5y + 9
D 10.5y + 2
(its a pre test but i still wanna do good)
Answers
Answer:
The answer will be a
Step-by-step explanation: