Answer:
the domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined
Step-by-step explanation:
Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)
Answer:
$1.37 (1.368333)
Step-by-step explanation:
6 divided by 8.21
Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?
Answer:
2
Step-by-step explanation:
14·[tex]\frac{1}{7}[/tex]=2
Answer:
2
Step-by-step explanation: 1/7th's of 14 is 2.
1/7 x 14 = 2.
If y varies directly as x and y = 24 when x = -3, find the constant of variation k
and then determine y when x = 12.
Answer:
I. k = -8
II. y = -96
Step-by-step explanation:
Given the mathematical expression and data;
y = 24
x = -3
y = kx (y varies directly as x).
To find the constant of proportionality k;
y = kx
Substituting the values into the expression, we have;
24 = k(-3)
24 = -3k
k = -24/3
k = -8
Next, to find the value of y when x = 12
y = kx
Substituting the values, we have;
y = -8 * 12
y = -96
In the parallelogram below x=?
Answer:
x = 12
Step-by-step explanation:
The sides are congruent
5x - 17 = 3x + 7
Subtract 3x from both sides
2x - 17 = 7
Add 17 to both sides
2x = 24
Divide both sides by 2
x = 12
Answer:
X=0.8
Step-by-step explanation:
First collect all the light terms '7' and '17' '-17+7=-10'
And '3x' and' 5x' '3x+5x=8x'
So if you put this as an equation you will have '8x=-10'
Next you do 8 divided -10
Then you get 0.8
5. x – 6 translate into mathematical words
Answer: 6 fewer than a number
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answer:
ASA
Step-by-step explanation:
The two small angles which are the base angles of the small triangle in the middle are marked as equal.
The two large angles of the two triangles are also marked as conguent.
The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA
Explanation:
It might help to peel the triangles apart as I have done so below.
We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.
The side (S) is between the angles (A), which is why we use ASA.
Note: SAA is slightly different where the congruent sides are not between the congruent angles.
Answer for brainlest plssss
Answer:
[tex] \displaystyle d) 36 \: {in}^{2} [/tex]
Step-by-step explanation:
the polygon can be separated in two parts
rectangletrianglelet's figure out the area of the rectangle
recall that,
[tex] \displaystyle A_{ \rm rect} =l \times w[/tex]given that,
l=9w=3thus substitute:
[tex] \displaystyle A_{ \rm rect} =9\times 3[/tex]simplify multiplication:
[tex] \displaystyle A_{ \rm rect} =27[/tex]let's figure out the area of the triangle
remember that,
[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h[/tex]
substitute the value of b and h:
[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2[/tex]
reduce fraction:
[tex] \displaystyle A_{ \rm triangle} = 9[/tex]
now the area of the polygon would be the total area of the rectangle and triangle thus
[tex] \displaystyle A_{ \rm polygon} = 27 + 9[/tex]
simplify addition:
[tex] \displaystyle A_{ \rm polygon} = 36[/tex]
hence our answer is D)
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.
What is the constant of the quadratic expression in this equation?
x2 + x +
= 0
Answer:
-420
Step-by-step explanation:
let the two consecutive integers be
x and (x + 1)
The product of two consecutive integers is 420
x(x + 1) = 420
Distribute
x² + x = 420
Subtract 420 from both sides
x² + x - 420 = 0
The constant is
-420
Teresa is playing a video game. She earns 10 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Teresa earn when she completes Level 7?
Enter your answer in the box.
Answer: 7290
Step-by-step explanation:
Three times is asking you to multiply the points before them by three. Level one, as we know is 10. Then, to get level two's points, you would multiply 10 by 3, to get 30, & so on.
Level One:10
Level Two: 10x3=30
Level Three: 30x3=90
Level Four: 90x3=270
Level Five: 270x3=810
Level Six: 810x3=2430
Level Seven: 2430x3= 7290
*** If you are still confused, comment on this question, & I will be happy to walk you through the whole question. ***
Answer:
7290 :)
Step-by-step explanation:
Took the quiz.
Find the area of each triangle.
Answer:
4.) A = 1/2 bh
1/2 x 3 x 6
= 9in
Write an equation for a line perpendicular to y=3x+1 and passing through the point (6,2)
Answer:
[tex]y = -\frac{1}{3}x + 4[/tex]
Step-by-step explanation:
Required
Equation of line
passes through [tex](6,2)[/tex]
In an equation of the form [tex]y =mx + b[/tex]; the slope is [tex]m[/tex]
So, by comparison;
The slope of [tex]y = 3x + 1[/tex] is: [tex]m =3[/tex]
From the question, we understand that the required equation is perpendicular to [tex]y = 3x + 1[/tex]
This means that its slope is:
[tex]m_2 =-\frac{1}{m}[/tex]
So, we have:
[tex]m_2 =-\frac{1}{3}[/tex]
The line equation is:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (6,2)[/tex]
So, we have:
[tex]y = -\frac{1}{3}(x - 6) + 2[/tex]
[tex]y = -\frac{1}{3}x + 2 + 2[/tex]
[tex]y = -\frac{1}{3}x + 4[/tex]
PLEASE HELP ASAPPP!!!! THE ANSWER WILL BE A PERCENTAGE.
Suppose you are asked to pick 4 numbers from 1 to 25 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
Answer:
each number you pick has a 1 in 25 chance
this equates to a 4% chance of winning for each individual ball
2x + 5y = 17
what is x
what is y
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
If x = -3 and y = 4x - 1, then y equals what number
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{y = 4x - 1}[/tex]
[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]
[tex]\large\textsf{y = 4(-3) - 1}[/tex]
[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]
[tex]\large\textsf{y = -12 - 1}[/tex]
[tex]\large\textsf{-12 - 1 = y}[/tex]
[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]
Hence, The value of y is:[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]
______
#LetsStudy
I need help please I don’t know this
Answer:
B.I (x) and h (x) are inverse function
B
100 POINTS!!!!!!!!!!!!!!!!!
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Hope this helped.....
Answer:
5 points huh thats mean
Step-by-step explanation:
GHK has been reflected over what line to create the resulting image?
Answer: y=x
Step-by-step explanation:
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Radius 7 and center (2, −4)
Let's start by writing the equation of a circle.
(x - h)² + (y - k)² = r²The center of the circle is (h, k), and the radius, r, is 4 so
we can simply plug these values into the formula.
So we have [(x) - (2)]² + [(y) - (-4)]² = (7)².
Notice that I changed the parenthses that were in the original formula
to brackets so that we wouldn't have too many sets of parenthses
when plugging our values into the formula.
Finally, we simplify inside the brackets.
So we have (x - 2)² + (y + 4)² = 49.
Now, I changed the brackets back to parenthses in the final answer.
What is the answer to 8x < 48
Answer:
x<6
hope this helps
have a good day :)
Step-by-step explanation:
A rectangular prism has a base area of 2 square feet and a height of 5 feet. What
is the volume of the prism in cubic feet?
10
15
12
11
Submit
find the missing side of the triangle
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
This one says (cos) , help it’s timed ! Take me through the process !
Answer:
4/5 is ur answer
Step-by-step explanation:
ok just like the last one but this one is COS
ok so we know that COS is A/H
A= adjacent and ofc H= hypotenuse
so lets see its the COS of a which means it will be A/H
A= 4 and the H=5
I need help please asp !!!!
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am
rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
Answer:
area = 2.3 x 2.8
area is 6.44 meters
Step-by-step explanation:
area is length multiplied by width
The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.
(a, b)
(b, 0)
(c, b)
(0, b)
Answer:
C
Step-by-step explanation:
Your welcome! :) Good luck!
Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?
Answer:
$5900
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 3% = 0.03
t = 6
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply: A = 5000(1 + 0.18)(Parenthesis) Add: A = 5000(1.18)Multiply: A = 590020 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
help................................................
9514 1404 393
Answer:
B.
Step-by-step explanation:
Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)
For t=0, C(0) = 50000(0.9^0) -2000 = 480000
For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500
The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.