Before we solve the equation let's take a look at it.
f(x) = -2x + 3
See how x appears in both f(x) and as the variable in the second half of the equation?
f(x) means "The function of x." You might also see g(x), h(x), and while those are the most common it can really be any letter, and any variable inside the parentheses.
So when we see f(-1), that means "The function of -1" or "The function of x when it is equal to -1."
Catching on? We need to replace x with -1 to solve for f(-1).
So here we go:
f(x) = -2x + 3
f(-1) = -2(-1) + 3
f(-1) = 2 + 3
f(-1) = 5
Voilà! We have solved for f(-1). Hope this helped.
A. A cylinder just fits into a cube of side length 36 m Calculate the percentage
of empty space in the box.
Answer:
21.5%
Step-by-step explanation:
volume of cube: 36x36x36
volume of cylinder: πx18²x36
Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785
percentage of empty space: 1 - 0.785 = 0.215 (21.5%)
What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15
Answer:
d. 8 over 15 = 136 over 15 this is the right answer okay
34 out of the 68 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?
Answer:
50%
Step-by-step explanation:
34/68=0.5=50%
Answer:
50%
Step-by-step explanation:
because yes
Enter the value of n for the equation 26 * 2n = 213
Answer:
4.09
Step-by-step explanation:
Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?
Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.
We will find that working together, they need to work for 8 hours.
----------------------------------
Let's start by defining the variables that we will use:
A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.Now let's see the given information:
"Aran and Beatrice can build an ant hill in 10 hours"
This can be written as:
(A + B)*10 h = 1 ant hill
"Aran and Charlie can build the ant hill in 12 hours"
This can be written as:
(A + C)*12 h = 1 ant hill
"Beatrice and Charlie can build the ant hill in 15 hours"
This can be written as:
(B + C)*15 h = 1 ant hill.
Then we have 3 equations:
[tex](A + B)*10 h = 1[/tex]
[tex](A + C)*12 h = 1[/tex]
[tex](B + C)*15 h = 1[/tex]
Where for commodity, I removed the "ant hill" unit.
Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.
I will isolate A in the first equation:
[tex]A = \frac{1}{10h} - B[/tex]
Now we can replace it in the second equation to get:
[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]
Now we can isolate C in the last equation to get:
[tex]C = \frac{1}{15h} - B[/tex]
Replacing that in the above equation we get:
[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]
This means that Beatrice alone would construct the hill in 24 hours.
Now that we know the value of B, we can use:
[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]
This means that Charlie needs 40 hours to finish the hill alone.
Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:
[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]
Now if the 3 ants work together, the total rate at which they work is:
[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]
This means that they need to work for the inverse of that rate
[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]
Working together, they need to work for 8 hours to complete an ant hill
If you want to learn more, you can read:
https://brainly.com/question/12895249
2.) Add unlike fractions using the butterfly method.
1 point
c) of the teacups in Lily's Tea Shop, 1/5 are teal and another 1/10 are yellow. What fraction
of the teacups are either teal or yellow?
3/10
5/10
7/10
O 1/10
Answer:
3/10
Step-by-step explanation:
1/5=2/10
2/10+1/10=3/10
Answer:
ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.
Does the tablets shown a proportional relationship? If so, what is the value of y when x is 10?
Answer: Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x=k or y=kx.
Please help!!
Will mark brainliest
What type of solution represents the system x + y = 8 2x + 2y = 16
Answer:
Subtract y from both sides of the equation.
x=8−y
2x+2y=16
Replace all occurrences of x with 8−y in each equation.
16=16
x=8−y
Remove any equations from the system that are always true.
x=8−y
Step-by-step explanation:
been stuck on this one for a bit, please help!
9514 1404 393
Answer:
A = 250
B = 75
C = 40
Step-by-step explanation:
Apparently, we're supposed to assume that the "health gained" is proportional to the "time in circle." The constant of proportionality is 100/4 = 25. This means all the numbers in the right column are 25 times those in the left column:
A = 25·10 = 250
B = 25·3 = 75
C·25 = 1000 ⇒ C = 40 . . . . . note these numbers are 10 times those in the first row
Help please!!!!! Giving extra points!!!!
Answer:
16
Step-by-step explanation:
Answer:
I think 16...
Step-by-step explanation:
HELP ME PLEASE !!!
Answer:
A realistic budget is hard to come by. All budgets tell you what you should include in your monthly plan, but what about unexpected expenses? Here are some ideas for making a realistic budget, and sticking to it.
daid1784 avatar
Well, the dozens of apps, spreadsheets, and other methods just don’t account for real life and all the expenses we don’t think of. There are plenty of expenses we have that aren’t monthly that take up more of our money than we planned.
HELP ASAP YALL- PLS
Answer: x = 4
Step-by-step explanation:
since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.
so, i redrew them next to each other, so i could compare them easily.
i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!
so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.
hope this helps! xoxo
At 6 a.m., the temperature is 19.4°C. Between 6 a.m. and noon, the temperature rises 3.8°C. Between noon and 6 p.m., the temperature falls 2.5°C.
What is the temperature at 6 p.m.?
1.3°C
6.3°C
13.1°C
20.7°C
Answer:
20.7°C
Step-by-step explanation:
please answer the questions.
Answer:
1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)
2. 122 square cm
Step-by-step explanation:
break the shape into 2, find area of each, add those areas together
5
x
:
9
=
7
:
3
Calculate the value of
x
.
Answer:
x=21/5, also known as 4.2
Step-by-step explanation:
5x:9 = 7:3
Solve it like a proportion and get any of these answers
5x/9 = 7/3
cross product property
3(5x) = 63
15x = 63
x = 63/15 = 21/5 in fraction form = 4.2 in decimal form
Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)
Answer:
56
Step-by-step explanation:
(4+7)²-(4²+7²)=121-65
=56
Answer:
56
Step-by-step explanation:
(4 + 7)² - (4² + 7²) = 11² - (16 + 49) = 121 - 65 = 56
HELP ASAP!!!! PLEASE HELP!!!!
Step-by-step explanation:
[tex] \sin(c) = \frac{36}{45} = 0.8 \\ \cos(c) = \frac{27}{45} = 0.6\\ \tan(c) = \frac{36}{27} = 1.333[/tex]
the measure of AOC is 90 find the value of x, A 30 B 10 C 11
10
Step-by-step explanation:
3x° + 46° +14°
3*10° + 46 + 14° =90
therefore the value of x is 10
The value of x on the given figure is 10.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
3x + 46 + 14 = 90
Now,
Simplifying.
3x + 60 = 90
Subtracting 60 on both sides.
3x = 90 - 60
3x = 30
Dividing 3 into both sides.
x = 10
Thus,
The value of x on the given figure is 10.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
The complete question is given on the attach image.
Does (5, 6) satisfy the inequality 2x - 3y> 6?
Answer:
yes
Step-by-step explanation:
Answer:
Nope, it does not satisfy the equation.
Step-by-step explanation:
2x - 3y > 6
2(5) - 3(6) > 6
10 - 18 > 6
-8 > 6
Hope this helps and I hope u have an Amazing day!
yoo someone help asaapp!
Answer:
A 76
Step-by-step explanation:
7x+8+7x-2+5x+16+110=360
19x+132=360
19x=228
x=12
∠E=5(12)+16
=76
Answer:
76. hope it helps.................
Use the Law of Cosines to solve for the side BC. Round your answer to the point
nearest whole number. Write the value only *
Answer:
BC = 50
Step-by-step explanation:
Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cosy (c is BC)
c^2 = 30^2 + 21^2 - 2(30)(21)cos123
c^2 = 900 + 441 - 1260*(-0.888)
c^2 = 1341 - (-1118.841)
c^2 = 2459.841
c = 49.597
c = 50
In an effort to save money, you placed $20 in a jar each month for 2 years. You spent 60% on presents for your family. How much do you have left?
(SAT Prep) Find the value of x.
Answer: x=40°
Step-by-step explanation:
The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40
Answer:
huh
Step-by-step explanation:
just multi ply its not hard
Need help!!
(2x + 1/2) + (8x - 6 1/2)=
Answer:
10x - 6
Step-by-step explanation:
Answer:
I am not sure if you want it to be a simplified answer but the simplified answer is 10 x - 6
what would x equal? (x=___)
Answer:
56mm
Step-by-step explanation:
they are parallelograms so the opposite sides are equal.
in the bottom parallelogram the top side length is 4x the side side length so in the top one the top side length must be 4x the side side length to be similar, so 14*4=56mm
Help asap will give brainliest
Answer:
Graph A is increasing more rapidly, so Dan is correct
in the equation x+12=30 does x=16 explain your answer
4 dogs have weights of 5.2 kg, 3.5 kg, 7 kg, and 9.74 kg. What is the total weight of the dogs? What is the average weight of the 4 dogs?
Answer:
25.14kg is the total weight
Step-by-step explanation:
Answer:
The total weight of the dogs is 25.44 kg
The average weight of the dogs are 25 kg
Step-by-step explanation:
It is right on Egenuity comment if you want another answer and have a good day :)
How would I solve this problem?
Answer:
n = 6
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\[/tex]
[tex]\frac{(-4)^{10}}{(-4)^{n}}=(-4)^{2}*(-4)^{2} \\\\(-4)^{10-n}=(-4)^{2+2}\\\\(-4)^{10-n}=(-4)^{4}[/tex]
Compare the exponents,
10 - n = 4
10 = 4 +n
10 - 4 = n
6 = n
