Answer:
x = 11
Step-by-step explanation:
3(11 - 10) + 7 =
3 + 7 = 10
hope this helped
Please help!
Thank you!
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
Simplify the expression by combining all the like terms 6+2x+5+4x
Answer:
6x+11
Step-by-step explanation:
6+2x+5+4x
4x+2x+6+5
(4x+2x)+(6+5)
6x+11
Answer:
6x +11
Step-by-step explanation:
group like terms (terms with the same variable and powers) together
(2x+4x) + (6+5)
6x +11
20 points!!! Will mark brainlist to whoever gives me the correct answers with the work:)
Use the information below for Part A, Part B, and Part C.
f(x) = 1/2x -7
g(x) = 2x + 14
Part A: Find (fog)(x). Show your work.
Part B: Find (gºf)(x). Show your work.
Part C: Use your answers to Part A and Part B to determine whether the two functions are inverses. Explain your answer fully.
Answer:
(1/2(2x+14)-7) = 1x+7-7= x g(f(x))= 2(1/2x-7)+14= x-14+14= xWe have the result being two variables of linearity hence they are not inverses. In order to be inverses they should have had switched notations, ie: -x vs x9514 1404 393
Answer:
A: (f∘g)(x) = x
B: (g∘f)(x) = x
C: the functions are inverses
Step-by-step explanation:
A: (f∘g)(x) = f(g(x)) = f(2x +14)
= 1/2(2x +14) -7 = x +7 -7 = x
(f∘g)(x) = x
__
B: (g∘f)(x) = g(f(x)) = g(1/2x -7)
= 2(1/2x -7) +14 = x -14 +14 = x
(g∘f)(x) = x
__
C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.
In triangle EFG, the measure of angle E is 97 and the
measure of angle Fis 15° What is the measure of angle G?
By using triangle sum theorem in triangle EFG, measure of the unknown angle ∠G will be 68°.
Calculations for the measure of angles in a triangle:
Measures of the angles in a triangle has been given as,
m∠E = 97°
m∠F = 15°
By triangle sum theorem,
m∠E + m∠F + m∠G = 180° (Sum of interior angles of a triangle is 180°)
97° + 15° + m∠G = 180°
m∠G = 180 - 112
m∠G = 68°
Therefore, measure of the third angle (∠G) of ΔEFG will be 68°.
Learn more about the interior angles of a triangle here,
https://brainly.com/question/22967199?referrer=searchResults
Find the sum (7b -4) + (2b+ a + 1)
Answer: (9b + a - 3)
Step-by-step explanation: Good luck! :D
Answer:
a=9b-3
Step-by-step explanation:
add: 3xy -40xy + x (2+y)
Answer:
x (y + 2) - 37 x y
Step-by-step explanation:
2 x (1 - 18 y)
-2 x (18 y - 1)
x (2 - 36 y)
Expanded form:
2 x - 36 x y
Roots:
x = 0
y = 1/18
Properties as a function:
Domain
R^2
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
Factorise
21x squared - 14x
Answer:
7x(3x - 2)
Step-by-step explanation:
[tex]21 {x}^{2} - 14x \\ \\ = 7x(3x - 2)[/tex]
13. A fast food restaurant sells hamburgers and hotdogs. One day you go in and get 4
hamburgers and 3 hotdogs for $25.50. The following week you go in and get 9 hamburgers and
2 hotdogs and pay $45.50. What is the price of 1 hamburger? What is the price of 1 hotdog?
WRITE and SOLVE a system of equations to solve this problem. Make sure to clearly define
your variables.
Step-by-step explanation:
4x+3y=$25.50
9x+2y=$45.50
8x+6y=51
-27x-6y=$-136.50
-19x=-85.50
x=4.5
The scale on a map is 1cm=30km the map distance between two town is 3.5cm
what's a good app to use for solving geometry ?
Answer:
uhh I would say this one if people help u out atleats
Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.
A triangle has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.
Given the angles in the diagram, who is closer to the treasure chest and why?
Nigel is closer because his distance to the chest is opposite the larger angle.
Mia is closer because her distance to the chest is opposite the smaller angle.
Nigel is closer because his distance from the chest is 100 meters.
Mia is closer because her distance from the chest is 100 meters.
Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Given is a triangle that has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.
Refer to the image attached.
It can be seen that Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees. We can conclude this from the fact that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle
Therefore, Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ6
Answer:
B
Step-by-step explanation:
I did it and it is correct
Evaluate: ab when a = 2 and b=4
Answer:
8
Step-by-step explanation:
ab = 2 * 4 = 8
Answer:
8
Step-by-step explanation:
ab when a = 2 and b = 4
First, plug in the values into the expression.
ab = (a)(b)
(2)(4)
When two numbers are set next to each other in parentheses, you are multiplying them.
2 × 4 = 8
Therefore, ab = 8
Hope this helps!
If an item has an original price of $65, but is discounted 20%. What is the total cost after sales tax (.0825)?
Answer:56.29$
Step-by-step explanation:
65 x .80 = 52
52 x 1.0825 = 56.29
<Brainliest is appreciated!>
Answer:
$56.29
Step-by-step explanation:
Original price = $65
discount = 20%
hence discounted price = 100% - 20% = 80% of the original price
discounted price = 80% x $65 = $52
sales tax rate = 0.0825 (i.e 8.25%)
amount of sales tax paid
= 0.0825 x discounted price
= 0.0825 x $52
= $4.29
Final cost
= discounted price + sales tax
= $52 + $4.29
= $56.29
1. Captain Salamander has 3 pet frogs called Dorris, Borris and Morris. He weighs them to check they are the right weight. However, the frogs will only be weighed two at a time! Dorris and Borris weigh 12lbs altogether. Borris and Morris weigh 16lbs altogether. Dorris and Morris weigh 14lbs altogether. How much does each frog weigh?
Answer:
Their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
Step-by-step explanation:
Let the weights of the frogs be:
Dorris = d
Borris = b
Morris = m
given:
d + b = 12 - - - (1)
b + m = 16 - - - (2)
d + m = 14 - - - (3)
from (3)
d + m = 14
m = 14 - d - - - (4)
putting the value of m into equation 2:
b + m = 16
b + (14 - d) = 16
b - d + 14 = 16
b - d = 16 - 14
b - d = 2
b = 2 + d - - - - (5)
putting the value of 'b' in equation 5 into equation (1)
d + b = 12 - - - (1)
where: b = 2 + d - - - (5)
∴ d + (2 + d ) = 12
d + d + 2 = 12
2d = 12 - 2
2d = 10
∴ d = 10 ÷ 2 = 5
d = 5
putting the value of 'd' into eqn (5)
b = 2 + d - - - - (5)
where d = 5
b = 2 + 5 = 7
b = 7 lbs
to find 'm', let us use eqn (3)
d + m = 14 - - - (3)
where d = 5
∴ 5 + m = 14
m = 14 - 5 = 9
m = 9 lbs
Therefore their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
please check my answer!!!!!!
Answer: Its correct
Step-by-step explanation:
Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?
Answer:
The top three that are first :)
Step-by-step explanation:
Write 90 as a product of primes.
Answer:
hey i got that same qustiom=n but i ddint know how to do it
Given the inequality of x < 5, select all the
possible solutions that will make this inequality true.
Ua
7
b
5
Jc
8
d
-3
e
4
-1,245
0
Dh
6
Jamila buys a pair of shoes for $22. She pays sales tax of 6.5% on the cost of the shoes. How much is the total cost of her shoes?
Answer:
23.43
Step-by-step explanation:
22 + 6.5% = 23.43
Across what line of reflection was the angle reflected in the coordinate plane below?
Answer:
Let us revise the reflection
If point (x , y) reflected across the x-axis, then its image is (x , -y)
If point (x , y) reflected across the y-axis, then its image is (-x , y)
If point (x , y) reflected across the line y = x, then its image is (y , x)
If point (x , y) reflected across the line y = -x, then its image is (-y , -x)
∵ Point A (-5 , 8) is reflected across the line y = x
∵ If point (x , y) reflected across the line y = x , then its image is (y , x)
∵ x = -5 and y = 8
- Switch x and y
∴ The image of point A is A' = (8 , -5)
Which expression is equivalent to -4x - 36?
A. 4(x - 9)
B. 2(2x - 18)
C. -2(2x - 18)
D. -4(x + 9)
D. -4(x+9)
For this you distribute the number outside the parentheses to both numbers inside.
A. 4(x-9)=
4x-36
B. 2(2x-18)=
4x-36
C. -2(2x-18)=
-4x+36
D. -4(x+9)=
-4x-36
Therefore, D is the answer
Find f^-1(x) where
f(x) = 3x + 2 / x
Answer:
denoted interchange solve
Step-by-step explanation:
y= (2-x)/3 Let f(x) be denoted by y, thus y= -3x+2 Now interchange x and y, it becomes x= -3y+2 Solve for y, y= (2-x)/3 This is f^(-1) x
11 is what percentage of 16? Round the nearest tenth.
Answer:
.69, but you can round it to .70 because of the 9
Step-by-step explanation:
70%
Answer:
This can be calculated by dividing 11 over 16, which is equal to about 0.69.
Let me know if this helps!
I need help please ASAP
How many tiles are used to model “x+3” in x+3=7 and how did you know?
x- tiles:
3-tiles:
Answer:
Your answer
Step-by-step explanation:
X=4
x stands for an unknown number subtract 7-3=4
therefore... X=4
i'm in algebra one I know math.
HAVE A GREAT WEEK! :)
Mark borrows $2500. His loan is for 6 months and has a 12% interest rate.
How much interest will Mark pay on the loan?
Answer:
either 300 or 1800
Step-by-step explanation:
depends on if they are counting for one month or the whole 6 months.
Answer:
$150.00
Step-by-step explanation:
2500x.12x.5= 150.00
CAN SOMEONE HELP ME PLZ I NEED HELP
Answer:
1200 per time
Step-by-step explanation:
URGENT!!!!
25/90= 0.27
WHAT IS O.27 ROUNDED TO THE NEAREST TENTH!!
PLEASE ANSWER!!
Answer:
0.3 since the 7 is bigger than 4 :)) just round up the tenth is the number after the decimal
I NEED HELP FAST PLEASE !!!!!!!!!!! The grade of a hill steepness represented as a percent. Jim tracks his walking speed up different hills. What does the rate of change , or slope , represents in this situation a= the rate represents an increases in speed for each 1% b= the rate represents a decrease in speed for 1% grade c = the rate represents a decrease in speed for each 1% grade increase D= the rate represents no change in speed for each 1% grade decrease
Answer:
C
Step-by-step explanation:
slope=walking speed /%
negative slope
so that rules out a and d
and you can see that as the percent increases the speed decreases.
so I think It would be C.