Answer:
f(g(-2)) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4 - x²
g(x) = 2x + 5
Step 2: Find g(-2)
Substitute in x [Function g(x)]: g(-2) = 2(-2) + 5Multiply: g(-2) = -4 + 5Add: g(-2) = 1Step 3: Find f(g(-2))
Substitute in x [Function f(x)]: f(g(-2)) = 4 - (1)²Evaluate exponents: f(g(-2)) = 4 - 1Subtract: f(g(-2)) = 3(x+7)(x-6) Find the product.ddddddddddddd
Answer:
x^2 + x - 42
Step-by-step explanation:
use the distributive property:
(x+7)(x-6) = x^2 + x - 42
Answer: x^2 + x - 42
Step-by-step explanation:
THE DISTANCE OF A PARTICLE FROM
IT'S STARTING POINT AT TIME T
SECONDS IS GIVEN BY S= 80T - 1672.
WHAT IS THE VELOCITY OF THE
PARTICLE AFTER 2 SECONDS?
Answer:
the answer will be 3.........
Determine whether the following relationship is a linear inequality or not
1. Y < 3
2. x ≥ 6
3. x² > -3
4. x -3 > 1/2
5. xy + 5 ≤ 7
Answer:
What is a linear inequality ? A linear inequality has the same condition as a linear equality, but instead of the equal sign, we have for example this one ≤ wish means less than or equal to.
But what are the condition of a linear equality ? There are many ways of writing linear equations but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y") BUT the variables (x and y) on a linear equation do NOT have Exponents (like the 2 in x²) and square roots,
1. y < 3
Yes, this is a linear inequation. Frequently, the term linear equation refers implicitly to the case of just one variable (here y).
2. x ≥ 6
Yes.
3. x² > - 3
No, remember the rule the variable (here x) must not have exponents.
4. x - 3 > 1/2
Yes.
5. xy + 5 ≤ 7
This one is nice. If both x and y are variables then the answer is no, it's not a linear inequation. Why ?The linear equation is a sum of terms like "Ax" where x is a variable, and A is a number or a constant. On the other hand if x or y was a constant (like e or π), it could be treated as a number and the whole expression would become linear.
You can also have fun and write :
xy ≤ 2
for y > 0 we write:
x ≤ 2/y
x ≤ 2[tex]y^{-1}[/tex]
and then simply say exponents are not allowed so not a linear inequation.
You $12 for a day, and plan to spend your time feeding the Lorakeets. $2 per feed (f), and drinking ICEE's (I), $4 each. What is the equation for the total number f times you can feed the lorakeets and icees you can drink with your total amount of money you brought?
Answer: 85 i think
Step-by-step explanation:
Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separated list.)
e1 − 3x = e4x − 3
x=_______
Answer:
Hello,
Very bad written!!!
Step-by-step explanation:
[tex]e^{1-3x}=e^{4x-3}\\\\1-3x=4x-3\\\\7x=4\\\\\boxed{x=\dfrac{4}{7} }\\[/tex]
Which expression is equivalent to square root 216x3y6z12?
Answer:
hello mateee ;)
Step-by-step explanation:
lets go step by step...
216 cub root = 6
x^3 cube root = 3/3 = power 1 = x
y^6 cube root = 6/3 = power 2 = y^2
z^12 cube root = 12/3 = power 4 = z^4
final ans becomes 6x y^2 z^4 hence option a is correct
glad for brainliest <3
if 10x=1/0.001 find the value of x
[tex]\\ \sf\longmapsto 10x=\dfrac{1}{0.001}[/tex]
Turn over the decimal[tex]\\ \sf\longmapsto 10x=\dfrac{1}{\dfrac{1}{1000}}[/tex]
[tex]\\ \sf\longmapsto 10x=1000[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1000}{10}[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
3. A toy car is traveling with a velocity of 4 m/s and has a mass of 1120g. What is the car's
kinetic energy?
please help me with this on the image
Answer:
we will then have to also multiply the y with three so the answer is B and that's ( ×3)
How many ways can four marbles be chosen from a set of five marbles?
Answer:
120
Step-by-step explanation:
5x4x3x2x1=120
Please help me please please help ASAP
Step-by-step explanation:
70 + 45 = 115
180 - 115 = 65
angle c = 65
use sohcahtoa
cos angle = adjacent
hypotenuse
cos 65 = 2.5
b
b cos 65 = 2.5
use the calc for further answers
hope that helped
Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =
[tex]\\ \sf\longmapsto XY+YZ=XZ[/tex]
[tex]\\ \sf\longmapsto 7a+5a=6a+24[/tex]
[tex]\\ \sf\longmapsto 12a=6a+24[/tex]
[tex]\\ \sf\longmapsto 12a-6a=24[/tex]
[tex]\\ \sf\longmapsto 6a=24[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{24}{6}[/tex]
[tex]\\ \sf\longmapsto a=5[/tex]
YZ=5a=5(5)=25Value of a is 4 and value of YZ is 20 units
Step-by-step explanation:
Given:
Y is between point X and Z
Value of line XY = 7a
Value of line YZ = 5a
Value of line XZ = 6a + 24
Find:
Value of "a" and line YZ
Computation:
We know that
XY + YZ = XZ
So,
7a + 5a = 6a + 24
12a = 6a + 24
6a = 24
a = 4
Value of a = 4
So,
Value of line YZ = 5a
By putting value of a
Value of line YZ = 5(4)
Value of line YZ = 20 units
Learn more;
https://brainly.com/question/18983323?referrer=searchResults
Find the missing side length in the image below
Answer:
87.5
Step-by-step explanation:
Let the missing side be x.
28 / 35 = x / 50
4 / 7 = x / 50
4 ( x ) = 7 ( 50 )
4x = 350
x = 350 / 4
x = 87.5
1. On the set of axes below, graph . State the roots of
Is this question complete?
Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?
Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?
Answer:-Money earned by Ellen per hour = $20.
Number of hours she works per day = 8 hours.
Money she'll make per day = 20×8 = 160
Hence, the answer is $160.
What is the value of log,1252
PERE
3
5
Ο ΟΟΟ
15
Mark this and return
Save and Exit
Next
Express 5 cm in metre and kilometre.in decimals........................ ncert maths class 7 pls
will be marked as brainliest trust me
Answer:
Converting into metre (1m=100cm)= 5/100=0.05m.. Converting into km. (1km=100000cm). so 5 cm=5/100000=0.00005km.
Answer:
5cm in meters = 0.05 metre
5cm in kilometres = 0.00005km
You are playing a version of the roulette game, wherethe pockets arefrom 0 to 12 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 17 given on thefirst spin youspin a 2
Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
-------------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.Since you spin a 2 on the first trial, the probability desired is equivalent to the probability of finding a sum of 15 in the next two trials.-------------------------------------
In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:
[tex]T = 13^2 = 169[/tex]
-------------------------------------
The desired outcomes are those who result in a sum of 15. Thus, they are:
(3,12), (4,11), (5,10), (6,9), (7,8), (8,7), (9,7), (10,5), (11,4), (12,3).That is, 10 desired outcomes, so [tex]D = 10[/tex].-------------------------------------
Thus, the probability is:
[tex]p = \frac{D}{T} = \frac{10}{169} = 0.0592[/tex]
0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
A similar problem is given at https://brainly.com/question/21444373
look at the image for the question
Answer:
3166.7
Step-by-step explanation:
V = πr²h
V = π * (12 km)² * 7 km
V ≈ 3166.7 km³
Hey there!
First, let's review the formula for finding a cylinder's volume.
Formula: [tex]\pi r^2h[/tex]
Our new equation would look like this: [tex]\pi[/tex] x [tex]12^{2}[/tex] x 7.
The original answer would be 3166.72539482, but the question states that it want it rounded to the nearest tenth. So, your answer would be 3166.7.
Hope this helps! Have a great day!
Can someone help me with this question?
You randomly select one card from a 52-card deck. Find the probability of selecting the 9 of spades or the 3 of clubs.
The probabilitiy is ___.
(Type an integer or a fraction. Simplify your answer.)
Answer:
2/52=1/26
Step-by-step explanation:
URGENT!! (Picture included)
Answer:
-85
Step-by-step explanation:
You can use calculator for this question
At what age do babies learn to crawl? Does it take longer to learn in the winter when babies are often bundled in clothes that restrict their movement? Data were collected from parents who brought their babies into the University of Denver Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age at which their child was first able to creep or crawl a distance of 4 feet within 1 minute. The resulting data were grouped by month of birth: January, May, and September:
Answer:
Babies learn to crawl between age of 6 to 10 months.
Step-by-step explanation:
It may take longer for babies to crawl in winter season since the climate restricts the babies movement due to extra clothes. The babies who are born in summer will learn crawling earlier than those who are born in winter season.
1106.666667 To the nearest whole number
Answer:
1107.
You are rounding up because the number in the tenths slot is over 5.
8. Find the area of the following triangle.
h=8m
b= 6.5
Answer:
26m^2
Step-by-step explanation:
Area of triangle=1/2b*h
We have,
b=6.5
h=8m
Now,
Area=1/2b*h=1/2*6.5*8=26m^2
You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and each is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"
Answer:
A. 200 square inches
Step-by-step explanation:
First, use Pythagorean Theorem to find the base of each triangle.
[tex]a^2+b^2=c^2\\20^2+b^2=(28\frac{1}{4})^2\\400+b^2=798.0625\\b^2=398.0625\\b=\sqrt{398.0625}\\b=19.9515037[/tex]
Finally, use the area of a triangle formula to find the area of each triangle.
[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(19.9515037)(20)\\A=199.515037[/tex]
Therefore, the area of each triangle is approximately 200 in².
The area of each triangle in square inches is 200 square inches.
What is the area of triangle?The area of triangle is defined as the region enclosed by its perimeter or the three sides of triangle.
Mathematically,
Area of triangle = 1/2(base*height)
Now given that,
Base of the triangle, B = 20''
Hypotenuse of the triangle, H = 28(1/4)'' = 28.25''
So, Height of the triangle, P = [tex]\sqrt{H^2 - B^2}[/tex]
or, Height of the triangle, P = [tex]\sqrt{28.25^2 - 20^2}[/tex]
or, Height of the triangle, P = [tex]\sqrt{398.0625} }[/tex]
or, Height of the triangle, P = 19.95 inches
Finally, use the area of a triangle formula to find the area of each triangle.
Area of triangle = 1/2*(BasexHeight)
⇒Area of triangle = 1/2*(20x19.95)
⇒Area of triangle = 1/2*399
⇒Area of triangle = 199.5 square inches
or, Area of triangle ≈ 200 square inches.
Hence, The area of each triangle in square inches is 200 square inches.
More about triangle :
https://brainly.com/question/14057700
#SPJ2
Suppose a professional baseball player hit 55 home runs his first season, 58 his second,
and 69 his third. How many home runs would he need to hit in the current season so that
his average for the 4 years is no less than 59?
Answer:
About 54
Step-by-step explanation:
To work backwards from average, you need to multiply the average by the total number of cases, which is 4, since there are 3 current cases/seasons and you want the 4th.
59 * 4 = 236
You then subtract the total home runs that you know of from 236.
236 - 55 - 58 - 69 = 54
To find average, you are adding to the total and then dividing by the number of groups, which is essentially mean (mean is basically the average).
Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?
9514 1404 393
Answer:
6
Step-by-step explanation:
The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.
F = {-2, 3, 7}
G = {-3, -1, 4, 7}
F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set
The product has 6 distinct zeros.
_____
As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.
This graph describes which of the expressions given?
log_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)
We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].
Using this rule,
[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].
We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].
Using this rule,
[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]
Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,
[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].
Hope this helps :)
